Math-Lectures

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"Tis much better to do a little with certainty & leave the rest for others that come after than to explain all things by conjecture without making sure of any thing."― Isaac Newton

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<h2>Math Textbooks</h2>

<ul>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(1).pdf" style="text-decoration:none;">Abstract Algebra:
Examples and Applications</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(2).pdf" style="text-decoration:none;">Pre-Calculus</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(3).pdf" style="text-decoration:none;">College Algebra and
Trigonometry</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(4).pdf" style="text-decoration:none;">A Cool Brisk Walk
Through Discrete Mathematics</a></li> 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(5).pdf" style="text-decoration:none;">The Joy of Cryptography</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(6).pdf" style="text-decoration:none;">Fundamentals of Matrix Algebra</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(7).pdf" style="text-decoration:none;">Geometry with an Introduction to Cosmic Topology</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(8).pdf" style="text-decoration:none;">Introduction to GNU Octave:
A brief tutorial for linear algebra and calculus students</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(9).pdf" style="text-decoration:none;">Introduction to Game Theory: a Discovery Approach</a></li>
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(10).pdf" style="text-decoration:none;">Introductory Statistics
with Randomization and Simulation</a></li> 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(11).pdf" style="text-decoration:none;">Lies, Damned Lies, or Statistics:
How to Tell the Truth with Statistics</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(12).pdf" style="text-decoration:none;">Learning statistics with R:
A tutorial for psychology students and other beginners</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(13).pdf" style="text-decoration:none;">
An Introduction to the Theory of Numbers</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(14).pdf" style="text-decoration:none;">Multivariable Calculus</a></li>
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(15).pdf" style="text-decoration:none;">First Semester in Numerical Analysis with Python</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(16).pdf" style="text-decoration:none;">Business Math: A Step-by-Step Handbook</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(17).pdf" style="text-decoration:none;">
First Semester in Numerical Analysis with Julia</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(18).pdf" style="text-decoration:none;">Quantitative Problem Solving in Natural Resources</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(19).pdf" style="text-decoration:none;">Tea Time
Numerical Analysis</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(20).pdf" style="text-decoration:none;">
Transition to Higher Mathematics: Structure and Proof</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(21).pdf" style="text-decoration:none;">Trigonometry</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(22).pdf" style="text-decoration:none;">Introduction to Financial
Mathematics: Concepts and Computational Methods</a></li> 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(23).pdf" style="text-decoration:none;">Yet Another: Introductory Number Theory Textbook</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(24).pdf" style="text-decoration:none;">The Zakon Series on Mathematical Analysis</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(25).pdf" style="text-decoration:none;">Discrete Mathematics: An Open Introduction</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(26).pdf" style="text-decoration:none;">Abstract Algebra:
Theory and Applications</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(27).pdf" style="text-decoration:none;">Real Analysis</a></li>
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(28).pdf" style="text-decoration:none;">Mathematical Discovery: Volume 1</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(29).pdf" style="text-decoration:none;">Single Variable Calculus: Early Transcendentals</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(30).pdf" style="text-decoration:none;">Calculus/Print version</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(31).pdf" style="text-decoration:none;">Combinatorics Through Guided Discovery </a></li> 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(32).pdf" style="text-decoration:none;">
Differential Equations</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(33).pdf" style="text-decoration:none;">Elementary Differential Equations</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(34).pdf" style="text-decoration:none;">A First Course in Linear Algebra</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(35).pdf" style="text-decoration:none;">Elementary Standard ML</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(36).pdf" style="text-decoration:none;">An Introduction to Functional Programming Through Lambda Calculus</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(37).pdf" style="text-decoration:none;">Differential Calculus and Sage</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(38).pdf" style="text-decoration:none;">Contemporary Calculus</a></li>
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(39).pdf" style="text-decoration:none;">Measure, Integration
and Real Analysis</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(40).pdf" style="text-decoration:none;">Calculus Refresher</a></li> 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(41).pdf" style="text-decoration:none;">Elementary Real Analysis</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(42).pdf" style="text-decoration:none;">The Calculus Integral</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(43).pdf" style="text-decoration:none;">Theory of the integral</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(44).pdf" style="text-decoration:none;">Introductory Differential Equations using
SAGE</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(45).pdf" style="text-decoration:none;">Open Resources for Community College
Algebra</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(46).pdf" style="text-decoration:none;">Calculus Lecture notes</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(47).pdf" style="text-decoration:none;">Complex Numbers and the Complex Exponential</a></li> 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/o/Galois-solutions.pdf" style="text-decoration:none;">An Introduction to Galois Theory: Solutions to the exercises</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(48).pdf" style="text-decoration:none;">Armstrong Calculus</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(49).pdf" style="text-decoration:none;">Calculus: Volume 1</a></li>
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(50).pdf" style="text-decoration:none;">Calculus: Volume 2</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(51).pdf" style="text-decoration:none;">Calculus: Volume 3</a></li>
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(52).pdf" style="text-decoration:none;">College Algebra</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(53).pdf" style="text-decoration:none;">Dalton State College APEX Calculus</a></li>
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(54).pdf" style="text-decoration:none;">Elementary Algebra </a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(55).pdf" style="text-decoration:none;">Fundamentals of Mathematics</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(56).pdf" style="text-decoration:none;">College Algebra &minus; Version [π] Corrected Edition</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(57).pdf" style="text-decoration:none;">Prealgebra</a></li>
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(58).pdf" style="text-decoration:none;">Arithmetic for College Students</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(59).pdf" style="text-decoration:none;">Basic Arithmetic Workbook</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(60).pdf" style="text-decoration:none;">Beginning and Intermediate Algebra</a></li> 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(61).pdf" style="text-decoration:none;">Introductory Algebra Workbook</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(62).pdf" style="text-decoration:none;">Intermediate Algebra Workbook</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(63).pdf" style="text-decoration:none;">Active Calculus - Multivariable</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(64).pdf" style="text-decoration:none;">Active Prelude to Calculus</a></li>
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(65).pdf" style="text-decoration:none;">APEX Calculus</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(66).pdf" style="text-decoration:none;">Applied
Calculus</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(67).pdf" style="text-decoration:none;">Contemporary Calculus I For the
students</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(68).pdf" style="text-decoration:none;">Single and Multivariable
Calculus</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(69).pdf" style="text-decoration:none;">Precalculus:
An Investigation of Functions</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(70).pdf" style="text-decoration:none;">Active Calculus</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(71).pdf" style="text-decoration:none;">Math in Society</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(72).pdf" style="text-decoration:none;">Statistics
Using Technology</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(73).pdf" style="text-decoration:none;">Elementary College Geometry</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(74).pdf" style="text-decoration:none;">Introductory Statistics</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(75).pdf" style="text-decoration:none;">A First Course in Linear Algebra:
an Open Text</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(76).pdf" style="text-decoration:none;">Think OS: A Brief Introduction to Operating Systems</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(77).pdf" style="text-decoration:none;">Physical Modeling in MATLAB</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(78).pdf" style="text-decoration:none;">Think Python:
How to Think Like a Computer Scientist</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(79).pdf" style="text-decoration:none;">Think C++</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(80).pdf" style="text-decoration:none;">How to Think Like a Computer Scientist:
Learning with Python</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(81).pdf" style="text-decoration:none;">Notes on Basic 3-Manifold Topology</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(82).pdf" style="text-decoration:none;">Advanced Calculus</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(83).pdf" style="text-decoration:none;">Analysis of Functions of a Single Variable</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(84).pdf" style="text-decoration:none;">Information Theory, Inference, and Learning Algorithms</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(85).pdf" style="text-decoration:none;">Analytic
Combinatorics</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(86).pdf" style="text-decoration:none;">Elements of
Abstract and Linear Algebra</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(87).pdf" style="text-decoration:none;">Notes on Diffy Qs: Differential Equations for Engineers</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(88).pdf" style="text-decoration:none;">Elementary Calculus: An Infinitesimal Approach</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(89).pdf" style="text-decoration:none;">Lie algebras</a></li>
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(90).pdf" style="text-decoration:none;">Mathematical Tools for Physics</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(91).pdf" style="text-decoration:none;">Mathematical Biology</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(92).pdf" style="text-decoration:none;">A Computational Introduction to Number Theory and Algebra</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(93).pdf" style="text-decoration:none;"> A Problem Course
in Mathematical Logic</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(94).pdf" style="text-decoration:none;">Grinstead and Snell's Introduction to Probability</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(95).pdf" style="text-decoration:none;">Proofs
and Concepts: the fundamentals of abstract mathematics</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(96).pdf" style="text-decoration:none;">Theory of functions of a real variable</a></li> 
 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(97).pdf" style="text-decoration:none;">
An Introduction to Probability and Random Processes</a></li>

<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(98).pdf" style="text-decoration:none;">Notes on Introductory Point-Set Topology</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(99).pdf" style="text-decoration:none;">Abstract and Concrete Categories: The Joy of Cats</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(100).pdf" style="text-decoration:none;">Elementary Differential Equations with Boundary Value Problems</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(101).PDF" style="text-decoration:none;">Introduction to Real Analysis</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(102).pdf" style="text-decoration:none;">Introduction to Calculus: Volume I</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(103).pdf" style="text-decoration:none;">Introduction to Calculus:
Volume II</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(104).pdf" style="text-decoration:none;">Abelian categories</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(105).pdf" style="text-decoration:none;">
Basic Concepts of Enriched Category Theory</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(106).pdf" style="text-decoration:none;">Convex Optimization</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(107).pdf" style="text-decoration:none;">Convex Optimization: Lecture slides</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(109).pdf" style="text-decoration:none;">Mathematical
Analysis: Volume I</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(108).pdf" style="text-decoration:none;">Mathematical
Analysis: Volume II</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(110).pdf" style="text-decoration:none;">Basic Concepts of
Mathematics</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(111).pdf" style="text-decoration:none;">Abstract Algebra: The Basic Graduate Year</a></li> 
 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(112).pdf" style="text-decoration:none;">A Course In Algebraic Number Theory</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(113).pdf" style="text-decoration:none;">A Course In Commutative Algebra</a></li> 
 
<li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(114).pdf" style="text-decoration:none;">Complex Variables</a></li>
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(115).pdf" style="text-decoration:none;">A Pari/GP Tutorial</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(116).pdf" style="text-decoration:none;">Real Variables with Basic Metric Space Topology</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(117).pdf" style="text-decoration:none;">Basic probability theory</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(118).pdf" style="text-decoration:none;">Differential Equations Notes</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(119).pdf" style="text-decoration:none;">Linear Algebra Notes</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(120).pdf" style="text-decoration:none;">Discrete Math Notes</a></li> 
 
 <li><a target="_blank" href="https://github.com/manjunath5496/Math-Lectures/blob/master/math(121).pdf" style="text-decoration:none;">Advanced Calculus Notes</a></li> 
 
 
 
 </ul>

<h4>Lecture Notes </h4>
<ul>
<li>&nbsp;<a class="links" href="Notes_scattering.pdf" data-smd-id="s1">Scattering theory</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Dixmier_traces.pdf" data-smd-id="s2">Dixmier traces</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Operators.pdf" data-smd-id="s3">Operator theory on Hilbert spaces</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Kth.pdf" data-smd-id="s4">K-theory for C*-algebras, and beyond</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Cstar_methods.pdf" data-smd-id="s5">C*-algebraic methods in spectral theory&nbsp;</a></li>
<li>&nbsp;<a class="links" href="Graph.pdf" data-smd-id="s6">Graph theory</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="funct_analysis.pdf" data-smd-id="s7">Introduction to functional analysis</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Statistics.pdf" data-smd-id="s8">Statistics</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Manifold.pdf" data-smd-id="s9">Differential geometry</a></li>
<li>&nbsp;<a class="links" href="Notes_groups.pdf" data-smd-id="s10">Groups and their representations</a></li>
<li>&nbsp;<a class="links" href="Lin_algebra.pdf" data-smd-id="s11">Linear algebra</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="calculus.pdf" data-smd-id="s12">Calculus I</a>&nbsp;</li>
<li>&nbsp;<a class="links" href="Calculus_II.pdf" data-smd-id="s13">Calculus II: functions of n variables</a>&nbsp;</li>
<li><a href="gradprob.pdf" data-smd-id="s1">Graduate Probability</a></li>
<li><a href="complex.pdf" data-smd-id="s2">Complex analysis</a></li>
<li><a href="finlmath.pdf" data-smd-id="s3">Financial mathematics</a></li>
<li><a href="elemprob.pdf" data-smd-id="s4">Undergraduate probability</a></li>
<li><a href="pdeprob.pdf" data-smd-id="s5">PDE from a probability point of view</a><a href="elemprob.pdf" data-smd-id="s4">&nbsp;</a></li>
<li><a href="cornell.pdf" data-smd-id="s6">Lecture notes for the Cornell Summer School in Probability 2007</a></li>
<li><a href="fa090614.pdf" data-smd-id="s7">Functional analysis</a></li>
<li><a href="jump-processes.pdf" data-smd-id="s8">Lecture notes on jump processes 2014</a></li>
<li><a href="2/JonV.pdf" data-smd-id="s7">Complex structures on a vector space</a></li>
<li><a href="2/siegel.pdf" data-smd-id="s8">Siegel half-plane</a></li>
<li><a href="2/metrics.pdf" data-smd-id="s9">Conformal metrics and hyperbolic geometry</a>&nbsp;</li>
<li><a href="2/cech.pdf" data-smd-id="s11">Čech cohomology and de&nbsp;Rham's theorem</a>&nbsp;</li> 
<li><a href="2/Roscoffslides.pdf" data-smd-id="s11">Applications of Delaunay triangulations to Teichmuller theory</a>&nbsp;</li> 
</ul>

D.R. Wilkins: Lecture Notes
<ul>
<li><a href="MAU23203_Mich2020_RealNumberSystem_Notes.pdf">Section 1: The Real Number System</a></li>
<li><a href="MAU23203_Mich2020_SchwarzInequality_Notes.pdf">Section 2: Schwarz's Inequality and some Related Inequalities</a></li>
<li><a href="MAU23203_Mich2020_MultivariableConvergence_Notes.pdf">Section 3: Convergence in Euclidean Spaces</a></li>
<li><a href="MAU23203_Mich2020_OpenAndClosedSets_Notes.pdf">Section 4: Open and Closed Sets in Euclidean Spaces</a></li>
<li><a href="MAU23203_Mich2020_MultivariableLimitsAndContinuity_Notes.pdf">Section 5: Limits and Continuity for Functions of Several Variables</a></li>
<li><a href="MAU23203_Mich2020_ContinuousOnClosedBounded_Notes.pdf">Section 6: Continuous Functions on Closed Bounded Sets</a></li>
<li><a href="MAU23203_Mich2020_OneVariableCalculus_Notes.pdf">Section 7: Fundamental Principles of Single Variable Calculus</a></li>
<li><a href="MAU23203_Mich2020_MultivariableDerivative_Notes.pdf">Section 8: Differentiation of Functions of Several Real Variables</a></li>
<li><a href="MAU23203_Mich2020_InverseImplicit_Notes.pdf">Section 9: The Inverse and Implicit Function Theorems</a></li>
<li><a href="DisquisitionOnOpenBallsAndOpenSets.pdf">Disquisition I: On Open Balls and Open Sets</a></li>
<li><a href="DisquisitionOnOpenAndClosedSetExamples.pdf">Disquisition II: Open and Closed Set Examples</a></li>
<li><a href="DisquisitionOnExamplesRelatingToLimitsAndContinuity.pdf">Disquisition III: Examples relating to Limits and Continuity</a></li>
</ul>

<table border="1" frame="hsides" rules="rows" cellpadding="5">
<tbody>
<tr>
<td class="title"><a id="title" href="script-la.pdf">Linear algebra</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="probabilistic-number-theory.pdf">Probabilistic number theory</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="expander-graphs.pdf">Expander graphs</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="representation-theory.pdf">Introduction to representation theory</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="exp-sums.pdf">Exponential sums over finite fields, I: elementary methods</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="http://www.math.ethz.ch/~jteichma/measure-integral_120615.pdf">Measure and integral</a></td>
<td class="pages">&nbsp;</td>
</tr>
<tr>
<td class="title"><a id="title" href="spectral-theory.pdf">Spectral theory in Hilbert spaces</a></td>
<td class="pages">&nbsp;</td>
</tr>
</tbody>
</table>

<ul>
<li>Who are the historians?&nbsp;(<a href="o/historians.pdf" data-smd-id="s2">.pdf file</a>)</li>
<li>Squaring the Circle: A Case Study
<ol>
<li>Part I (<a href="o/quad.pdf" data-smd-id="s3">.pdf file</a>)</li>
<li>Part II (<a href="o/quad2.pdf" data-smd-id="s5">.pdf file</a>)</li>
<li>Part III (<a href="o/quad3.pdf" data-smd-id="s7">.pdf file</a>)</li>
</ol>
</li>
<li>Polynomial Equations: Another Case Study
<ol>
<li>Part I (<a href="o/polynom.pdf" data-smd-id="s8">.pdf file</a>)</li>
<li>Part II (<a href="o/polynom2.pdf" data-smd-id="s9">.pdf file</a>)</li>
<li>Part III (<a href="o/polynom3.pdf" data-smd-id="s10">.pdf file</a>)</li>
<li>Part IV (<a href="o/polynom4.pdf" data-smd-id="s11">.pdf file</a>)</li>
</ol>
</li>
<li>The Rise of Projective Geometry: Case Study
<ol>
<li>Part I (<a href="o/projgeom.pdf" data-smd-id="s12">.pdf file</a>)</li>
<li>Part II (<a href="o/projgeom2.pdf" data-smd-id="s13">.pdf file</a>)</li>
<li>Part III (<a href="o/projgeom3.pdf" data-smd-id="s14">.pdf file</a>)</li>
</ol>
</li>
<li>Dealing with the Infinite
<ol>
<li>Part I (<a href="o/infinity.pdf" data-smd-id="s15">.pdf file</a>)</li>
<li>Part II (<a href="o/infin2.pdf" data-smd-id="s16">.pdf file</a>)</li>
</ol>
</li>
<li>... The Sequel
<ol>
<li>Part I - Philosophy of Mathematics (<a href="o/phil.pdf" data-smd-id="s17">.pdf file</a>)</li>
<li>Part II - G&ouml;del's Incompleteness Theorem (<a href="o/phil2.pdf" data-smd-id="s18">.pdf file</a>)</li>
</ol>
</li>
</ul>

<ul>
<li><a href="o/3q-notes.pdf" data-smd-id="s1">Algebra and Number Theory</a></li>
<li><a href="o/2q-notes.pdf" data-smd-id="s2">Groups and symmetry</a></li>
<li><a href="o/2w-notes.pdf" data-smd-id="s3">Basic Linear Algebra</a></li>
<li><a href="o/chaincomplexes.pdf" data-smd-id="s4">Notes on chain complexes</a></li>
</ul>

<h4>Massachusetts Institute of Technology</h4>
<ul>
<li>
(18.218) Topics in Combinatorics&nbsp;<a href="notes/MIT-18-218.pdf">(pdf)</a> Taught by Alex Postnikov. Spring 2017.
</li>
<li>
(18.435) Quantum Computation&nbsp;<a href="notes/MIT-18-435.pdf">(pdf)</a> Taught by Seth Lloyd. Fall 2015.
</li>
<li>
(18.757) Representations of Lie Algebras&nbsp;<a href="notes/MIT-18-757.pdf">(pdf)</a> Taught by Laura Rider. Spring 2016.
</li>
<li>
(18.786) Number Theory II&nbsp;<a href="notes/MIT-18-786.pdf">(pdf, incomplete)</a> Taught by Andrew Sutherland. Spring 2018. These notes are very far from complete.
</li>
<li>
(18.950) Differential Geometry&nbsp;<a href="notes/MIT-18-950.pdf">(pdf)</a> Taught by Xin Zhou. Fall 2015.
</li>
<li>
(SCUM) Student Colloqium in Mathematics&nbsp;<a href="notes/SCUM.pdf">(pdf)</a> Not a class, but free dinner and math lectures every Wednesday.
</li>
</ul>
<h4>Harvard College</h4>
<ul>
<li>
(Math 55a) Honors Abstract and Linear Algebra&nbsp;<a href="notes/Harvard-55a.pdf">(pdf)</a> Taught by Dennis Gaitsgory. Fall 2014.
</li>
<li>
(Math 55b) Honors Real and Complex Analysis&nbsp;<a href="notes/Harvard-55b.pdf">(pdf)</a> Taught by Dennis Gaitsgory. Spring 2015.
</li>
<li>
(Math 129) Number Fields&nbsp;<a href="notes/Harvard-129.pdf">(pdf)</a> Taught by Mark Kisin. Spring 2015.
</li>
<li>
(Math 137) Algebraic Geometry&nbsp;<a href="notes/Harvard-137.pdf">(pdf)</a> Taught by Yaim Cooper. Spring 2015.
</li>
<li>
(Math 145a) Set Theory&nbsp;<a href="notes/Harvard-145a.pdf">(pdf)</a> Taught by Peter Koellner. Fall 2014.
</li>
<li>
(Math 145b) Set Theory II&nbsp;<a href="notes/Harvard-145b.pdf">(pdf)</a> Taught by Peter Koellner. Spring 2015.
</li>
</ul>
<h4>University of California Berkeley</h4>
<ul>
<li>
(Math 104) Introduction to Real Analysis&nbsp;<a href="notes/UCB104.pdf">(pdf)</a> Taught by Charles Pugh. Fall 2013.
</li>
<li>
(Math H113) Honors Introduction to Abstract Algebra&nbsp;<a href="notes/UCBH113.pdf">(pdf)</a> Taught by Kelli Talaska. Spring 2012.
</li>
<li>
(Math 249) Algebraic Combinatorics&nbsp;<a href="notes/UCB249.pdf">(pdf)</a> Taught by Lauren Williams. Fall 2013.
</li>
</ul>
<h4>San Jose State University</h4>
<ul>
<li>
(Math 179) Intro to Graph Theory&nbsp;<a href="notes/SJSU179.pdf">(pdf)</a> Taught by Wasin So. Spring 2013.
</li>
<li>
(Math 275) Algebraic Topology&nbsp;<a href="notes/SJSU275.pdf">(pdf)</a> Taught by Richard Kulbelka. Fall 2012
</li>
</ul>

<h4> Lecture Notes </h4> <hr>
Section 12.1 (Three-dimensional coordinate system)&nbsp;<a href="1/s12_1_S18.pdf" data-smd-id="s1">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_1_sol.pdf" data-smd-id="s2">Completed notes</a> Section 12.2 (Vectors)&nbsp;<a href="1/s12_2_S18.pdf" data-smd-id="s3">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_2_sol.pdf" data-smd-id="s4">Completed notes</a> Section 12.3 (The dot product)&nbsp;<a href="1/s12_3.pdf" data-smd-id="s5">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_3_sol.pdf" data-smd-id="s6">Completed notes</a> Section 12.4 (The cross product)&nbsp;<a href="1/s12_4.pdf" data-smd-id="s7">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_4_sol.pdf" data-smd-id="s8">Completed notes</a> Section 12.5 (Equations of lines and planes)&nbsp;<a href="1/s12_5_S18.pdf" data-smd-id="s9">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_5_sol.pdf" data-smd-id="s10">Completed notes</a> Section 12.6 (Cylinders and quadric surfaces)&nbsp;<a href="1/s12_6_S18.pdf" data-smd-id="s11">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s12_6_sol.pdf" data-smd-id="s12">Completed notes</a> Sections 13.1, 13.2 (Vector functions and space curves, Derivatives and integrals of vector functions)&nbsp;<a href="1/s13_1_S18.pdf" data-smd-id="s13">Blank notes &nbsp;&nbsp;</a>&nbsp;<a href="1/s13_1_sol.pdf" data-smd-id="s14">Completed notes</a> Section 13.3 (Arc length and curvature)&nbsp;<a href="1/s13_3_S18.pdf" data-smd-id="s15">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s13_3_sol.pdf" data-smd-id="s16">Completed notes</a> Section 13.4 (Motion in space: velocity and acceleration)&nbsp;<a href="1/s13_4_S18.pdf" data-smd-id="s17">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s13_4_sol.pdf" data-smd-id="s18">Completed notes</a> Section 14.1 (Functions of several variables)&nbsp;<a href="1/s14_1_S18.pdf" data-smd-id="s19">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_1_sol.pdf" data-smd-id="s20">Completed notes</a> Section 14.3 (Partial derivatives)&nbsp;<a href="1/s14_3_S18.pdf" data-smd-id="s21">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_3_sol.pdf" data-smd-id="s22">Completed notes</a> Section 14.4 (Tangent planes and linear approximations)&nbsp;<a href="1/s14_4_S18.pdf" data-smd-id="s23">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_4_sol.pdf" data-smd-id="s24">Completed notes</a> Section 14.5 (Chain rule)&nbsp;<a href="1/s14_5_S18.pdf" data-smd-id="s25">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_5_sol.pdf" data-smd-id="s26">Completed notes</a> Section 14.6 (Directional derivativatives and the gradient vector)&nbsp;<a href="1/s14_6_S18.pdf" data-smd-id="s27">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_6_sol.pdf" data-smd-id="s28">Completed notes</a> Section 14.7 (Maximum and minimum values)&nbsp;<a href="1/s14_7_S18.pdf" data-smd-id="s29">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_7_sol.pdf" data-smd-id="s30">Completed notes</a> Section 14.8 (Lagrange multipliers)&nbsp;<a href="1/s14_8_S18.pdf" data-smd-id="s31">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s14_8_sol.pdf" data-smd-id="s32">Completed notes</a> Section 15.1 (Double integrals over rectangles)&nbsp;<a href="1/s15_1_S18.pdf" data-smd-id="s33">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_1_sol.pdf" data-smd-id="s34">Completed notes</a> Section 15.2 (Double integrals over regular regions)&nbsp;<a href="1/s15_2_S18.pdf" data-smd-id="s35">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_2_sol.pdf" data-smd-id="s36">Completed notes</a> Section 15.3 (Double intergals in polar coordinates)&nbsp;<a href="1/s15_3_S18.pdf" data-smd-id="s37">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_3_sol.pdf" data-smd-id="s38">Completed notes</a> Section 15.4 (Applications of double integrals)&nbsp;<a href="1/s15_4_S18.pdf" data-smd-id="s39">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_4_sol.pdf" data-smd-id="s40">Completed notes</a> Section 15.6 (Triple integrals)&nbsp;<a href="1/s15_6_S18.pdf" data-smd-id="s41">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_6_sol.pdf" data-smd-id="s42">Completed notes</a> Section 15.7 (Triple integrals in cylindrical coordinates)&nbsp;<a href="1/s15_7_S18.pdf" data-smd-id="s43">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_7_sol.pdf" data-smd-id="s44">Completed notes</a> Section 15.8 (Triple integrals in spherical coordinates)&nbsp;<a href="1/s15_8_S18.pdf" data-smd-id="s45">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_8_sol.pdf" data-smd-id="s46">Completed notes</a> Section 15.9 (Change of variables in multiple integrals)&nbsp;<a href="1/s15_9_S18.pdf" data-smd-id="s47">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s15_9_sol.pdf" data-smd-id="s48">Completed notes</a> Section 16.1 (Vector Fields)&nbsp;<a href="1/s16_1_S18.pdf" data-smd-id="s49">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_1_sol.pdf" data-smd-id="s50">Completed notes</a> Section 16.2 (Line Integrals)&nbsp;<a href="1/s16_2_S10.pdf" data-smd-id="s51">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_2_sol.pdf" data-smd-id="s52">Completed notes</a> Section 16.3 (The fundamental theorem for line integrals)&nbsp;<a href="1/s16_3_S18.pdf" data-smd-id="s53">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_3_sol.pdf" data-smd-id="s54">Completed notes</a> Section 16.4 (Green's Theorem)&nbsp;<a href="1/s16_4_S18.pdf" data-smd-id="s55">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_4_sol.pdf" data-smd-id="s56">Completed notes</a> Section 16.5 (Curl and divergence)&nbsp;<a href="1/s16_5_S18.pdf" data-smd-id="s57">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_5_sol.pdf" data-smd-id="s58">Completed notes</a> Section 16.6 (Parametric surfaces and their area)&nbsp;<a href="1/s16_6_S18.pdf" data-smd-id="s59">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_6_sol.pdf" data-smd-id="s60">Completed notes</a> Section 16.7 (Surface integrals)&nbsp;<a href="1/s16_7_S18.pdf" data-smd-id="s61">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_7_sol.pdf" data-smd-id="s62">Completed notes</a> Section 16.8 (Stoke's theorem)&nbsp;<a href="1/s16_8_S18.pdf" data-smd-id="s63">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_8_sol.pdf" data-smd-id="s64">Completed notes</a> Section 16.9 (The divergence theorem)&nbsp;<a href="1/s16_9_S18.pdf" data-smd-id="s65">Blank notes&nbsp;</a>&nbsp;&nbsp;&nbsp;<a href="1/s16_9_sol.pdf" data-smd-id="s66">Completed notes</a>

Complex numbers&nbsp;<a href="2/cplx.pdf" data-smd-id="s15">pdf</a>&nbsp; Open sets, closed sets, and continuity&nbsp;<a href="2/open.pdf" data-smd-id="s17">pdf</a>&nbsp; Euler's identity and derivatives&nbsp;<a href="2/euler_deriv.pdf" data-smd-id="s19">pdf</a>&nbsp; Limits of rational functions&nbsp;<a href="2/lim.pdf" data-smd-id="s21">pdf</a>&nbsp; Geometry of systems of linear equations&nbsp;<a href="2/geom.pdf" data-smd-id="s23">pdf</a>&nbsp; Fundamental Theorem of Linear Algebra, and graphing&nbsp;<a href="2/ftla_graph.pdf" data-smd-id="s25">pdf</a>&nbsp; Abstract vector spaces (class lecture)&nbsp;<a href="2/lecture051013.pdf" data-smd-id="s27">pdf</a>&nbsp; Newton's method&nbsp;<a href="2/newton.pdf" data-smd-id="s29">pdf</a>&nbsp; Inverse Function Theorem&nbsp;<a href="2/invfnthm.pdf" data-smd-id="s31">pdf</a>&nbsp; Manifolds&nbsp;<a href="2/mflds.pdf" data-smd-id="s33">pdf</a>&nbsp; Proof of Taylor's Theorem for real-valued&nbsp;Ck-functions of several variables&nbsp;<a href="2/taylor.pdf" data-smd-id="s35">pdf</a>&nbsp; Taylor's theorem with tensors&nbsp;<a href="2/tensor.pdf" data-smd-id="s37">pdf</a>&nbsp; Gaussian curvature of surfaces&nbsp;<a href="2/curv.pdf" data-smd-id="s39">pdf</a>&nbsp;
<a href="2/223.Final.pdf" data-smd-id="s41">Final</a> <a href="2/223.Final.Sol.pdf" data-smd-id="s42">Solutions to Final</a>

<h2>Lecture Notes in Mathematical Sciences</h2>
<table border="0">
<tbody>
<tr valign="top">
<td width="26">1</td>
<td>Saal, J&uuml;rgen:&nbsp;<span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" style="margin: 0px; padding: 1px 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 13.52px; line-height: 0; font-family: inherit; vertical-align: baseline; display: inline-block; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mi class=&quot;MJX-tex-caligraphic&quot; mathvariant=&quot;script&quot;&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;">R-Boundedness,&nbsp;<span id="MathJax-Element-2-Frame" class="mjx-chtml MathJax_CHTML" style="margin: 0px; padding: 1px 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 13.52px; line-height: 0; font-family: inherit; vertical-align: baseline; display: inline-block; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;&amp;#x221E;&lt;/mi&gt;&lt;/msup&gt;&lt;/math&gt;">H&infin;-Calculus, Maximal (<span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML" style="margin: 0px; padding: 1px 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 13.52px; line-height: 0; font-family: inherit; vertical-align: baseline; display: inline-block; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/msup&gt;&lt;/math&gt;">Lp-)Regularity and Applications to Parabolic PDE's (Communicated by Y. Giga) [2007,&nbsp;<a class="a-pdf" href="3/lecser1_001.pdf">pdf]</a></td>
</tr>
<tr valign="top">
<td>2</td>
<td>D. Kaledin: Homological methods in Non-commutative Geometry (Communicated by Y. Kawamata) [2008,&nbsp;<a class="a-pdf" href="3/kaledin-lectures.pdf">pdf</a>]</td>
</tr>
<tr valign="top">
<td height="40">12</td>
<td>
Mourad Bellassoued and Masahiro Yamamoto：
Carleman Estimates for Anisotropic Hyperbolic Systems in Riemannian Manifolds and Applications　[2012,&nbsp;<a href="3/Lecturenotes12.pdf">pdf</a>]
</td>
</tr>
<tr valign="top">
<td height="40">14</td>
<td>
Erwin Bolthausen：
Topics in Random Walks in Random Environments　[2015,&nbsp;<a href="3/LN_Tokyo-1-1.pdf">pdf</a>]
</td>
</tr>
<tr valign="top">
<td height="40">15</td>
<td>
Piotr Rybka：
The&nbsp;BV&nbsp;space in variational and evolution problems [2018,&nbsp;<a href="3/lecture%20note%2015.pdf">pdf</a>]
</td>
</tr>
<tr valign="top">
<td height="40">16</td>
<td>
Todd Fisher, Boris Hasselblatt：
Hyperbolic flows [2018,&nbsp;<a href="3/lecturenotes16-hasselblatt.pdf">pdf</a>]
</td>
</tr>
<tr valign="top">
<td height="40">17</td>
<td>
Yukio Matsumoto：
TEICHM&Uuml;LLER SPACES AND CRYSTALLOGRAPHIC GROUPS [2019,&nbsp;<a href="3/lecturenotes17-matsumoto.pdf">pdf</a>]
</td>
</tr>
</tbody>
</table>

<h4>Lectures on Statistics</h4>
<ul>
<li><a href="StatPref.pdf" data-smd-id="s2">Preface and Table of Contents</a></li>
<li><a href="StatLec1-5.pdf" data-smd-id="s3">Lectures 1-5</a></li>
<li><a href="StatLec6-10.pdf" data-smd-id="s4">Lectures 6-10</a></li>
<li><a href="StatLec11-15.pdf" data-smd-id="s5">Lectures 11-15</a></li>
<li><a href="StatLec16-20.pdf" data-smd-id="s6">Lectures 16-20</a></li>
<li><a href="StatLec21-25.pdf" data-smd-id="s7">Lectures 21-25</a></li>
<li><a href="StatSols.pdf" data-smd-id="s8">Solutions to Problems</a></li>
<li><a href="StatIndex.pdf" data-smd-id="s9">Index</a></li>
</ul>

Math-Lectures

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