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MIT Mathematics syllabus books
1.
The Mathematical Theory of Communication
by:
Claude Shannon
4.38 avg rating β 678 ratings
2.
Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics)
by:
Walter Rudin
4.27 avg rating β 1,871 ratings
3.
Calculus
by:
Michael Spivak
4.52 avg rating β 982 ratings
4.
Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
by:
Michael Spivak
4.21 avg rating β 363 ratings
5.
A Survey of Minimal Surfaces
by:
Robert Osserman
3.20 avg rating β 5 ratings
6.
A Comprehensive Introduction to Differential Geometry, Volume 3
by:
Michael Spivak
4.31 avg rating β 29 ratings
7.
Computers and Intractability: A Guide to the Theory of NP-Completeness (Series of Books in the Mathematical Sciences)
by:
Michael R. Garey
4.15 avg rating β 213 ratings
8.
Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics, 97)
by:
Neal Koblitz
4.50 avg rating β 16 ratings
9.
Quantum Theory: Concepts and Methods (Fundamental Theories of Physics, 57)
by:
A. Peres
4.28 avg rating β 18 ratings
10.
Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books on Mathematics)
by:
Ronald B. Guenther
4.33 avg rating β 18 ratings
11.
Mathematical Analysis
by:
Tom M. Apostol
4.07 avg rating β 164 ratings
12.
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
by:
Steven H. Strogatz
4.38 avg rating β 1,511 ratings
13.
Introduction to Linear Algebra (Gilbert Strang, 2)
by:
Gilbert Strang
4.24 avg rating β 689 ratings
14.
Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable
by:
Lars Valerian Ahlfors
3.91 avg rating β 96 ratings
14.
Linear Algebra Done Right
by:
Sheldon Axler
4.38 avg rating β 1,231 ratings
16.
Riemann Surfaces: (PMS-26) (Princeton Mathematical Series, 58)
by:
Lars Valerian Ahlfors
really liked it 4.00 avg rating β 2 ratings
16.
Introduction To Probability
by:
Dimitri P. Bertsekas
4.29 avg rating β 197 ratings
18.
Differential Geometry of Curves and Surfaces
by:
Manfredo P. Do Carmo
4.06 avg rating β 113 ratings
18.
The Nature of Computation
by:
Cristopher Moore
4.59 avg rating β 109 ratings
20.
Mathematical Statistics and Data Analysis (with CD Data Sets) (Available 2010 Titles Enhanced Web Assign)
by:
John A. Rice
3.84 avg rating β 178 ratings
20.
Linear Algebra
by:
Kenneth M. Hoffman
4.05 avg rating β 200 ratings
22.
Approximation Algorithms for NP-Hard Problems
by:
Dorit Hochbaum
3.25 avg rating β 12 ratings
23.
Theory of Linear and Integer Programming
by:
Alexander Schrijver
4.28 avg rating β 18 ratings
24.
Taurine 7
by:
Martin Grotschel
3.62 avg rating β 8 ratings
25.
Algorithmic Number Theory, Vol. 1: Efficient Algorithms
by:
Eric Bach
4.22 avg rating β 9 ratings
26.
Convex Optimization
by:
Stephen Boyd
4.48 avg rating β 343 ratings
27.
Network Flows: Theory, Algorithms, and Applications
by:
Ravindra K. Ahuja
4.29 avg rating β 52 ratings
28.
Computational Geometry: Algorithms and Applications
by:
Mark de Berg
4.17 avg rating β 167 ratings
29.
An Algorithmic Theory of Numbers, Graphs and Convexity (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 50)
by:
LΓ‘szlΓ³ LovΓ‘sz
3.50 avg rating β 2 ratings
30.
Combinatorial Optimization: Theory and Algorithms
by:
Bernhard & Vygen Korte
4.28 avg rating β 18 ratings
31.
Introduction to Algorithms
by:
Thomas H. Cormen
4.35 avg rating β 9,239 ratings
32.
Theory and Algorithms for Linear Optimization: An Interior Point Approach
by:
Cornelis Roos
it was ok 2.00 avg rating β 1 rating
33.
Linear Programming
by:
Vasek Chvatal
3.77 avg rating β 35 ratings
34.
Approximation Algorithms
by:
Vijay V. Vazirani
4.20 avg rating β 56 ratings
35.
Ordinary Differential Equations
by:
Garrett Birkhoff
3.56 avg rating β 9 ratings
36.
Introduction to Algorithms
by:
Thomas H. Cormen
4.35 avg rating β 9,239 ratings
37.
An Introduction to Probability Theory and Its Applications, Volume 1
by:
William Feller
4.31 avg rating β 161 ratings
38.
Algorithm Design
by:
Jon Kleinberg
4.16 avg rating β 645 ratings
39.
Writing Efficient Programs (Prentice-Hall Software Series)
by:
Jon L. Bentley
3.97 avg rating β 36 ratings
40.
Handbook of Algorithms and Data Structures: Coded in Pascal and C (International Computer Science Series)
by:
Gaston H. Gonnet
2.86 avg rating β 7 ratings
41.
Combinatorial Optimization: Algorithms and Complexity
by:
Christos H. Papadimitriou
4.08 avg rating β 132 ratings
42.
The Algorithm Design Manual
by:
Steven S. Skiena
4.34 avg rating β 2,669 ratings
43.
More Programming Pearls: Confessions of a Coder: Confessions of a Coder
by:
Jon L. Bentley
4.08 avg rating β 146 ratings
44.
Graph Algorithms (Computer Software Engineering Series)
by:
Shimon Even
3.64 avg rating β 11 ratings
45.
An Introduction to the Theory of Numbers
by:
Ivan Niven
4.14 avg rating β 66 ratings
46.
Algorithms
by:
Sanjoy Dasgupta
4.23 avg rating β 473 ratings
47.
Introduction to Combinatorial Mathematics
by:
Chung Laung Liu
3.25 avg rating β 4 ratings
48.
Programming Pearls
by:
Jon L. Bentley
4.20 avg rating β 3,209 ratings
49.
Algorithms on Strings, Trees, and Sequences: Computer Science and Computational Biology
by:
Dan Gusfield
4.09 avg rating β 90 ratings
50.
Introduction to Applied Mathematics
by:
Gilbert Strang
4.02 avg rating β 55 ratings
51.
Computational Science and Engineering
by:
Gilbert Strang
3.97 avg rating β 38 ratings
52.
Rational Points on Elliptic Curves
by:
Joseph H. Silverman
4.39 avg rating β 59 ratings
53.
Quantum Computation and Quantum Information (Cambridge Series on Information and the Natural Sciences)
by:
Michael A. Nielsen
4.40 avg rating β 526 ratings
54.
Basic Algebraic Geometry 1: Varieties in Projective Space
by:
Igor R. Shafarevich
3.94 avg rating β 31 ratings
55.
Algebraic Geometry (Graduate Texts in Mathematics, 52)
by:
Robin Hartshorne
4.21 avg rating β 140 ratings
56.
The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians (Lecture Notes in Mathematics, 1358)
by:
David Mumford
4.50 avg rating β 16 ratings
57.
A Guide to First-Passage Processes
by:
Sidney Redner
3.80 avg rating β 5 ratings
58.
Elements of the Random Walk: An introduction for Advanced Students and Researchers
by:
Joseph Rudnick
liked it 3.00 avg rating β 2 ratings
59.
The Mathematics of Diffusion
by:
John Crank
really liked it 4.00 avg rating β 11 ratings
60.
Intelligence and Security Informatics for International Security (Springer Series in Synergetics)
by:
Hsinchun Chen
2.50 avg rating β 2 ratings
61.
Random Walks and Random Environments
by:
Barry D. Hughes
3.67 avg rating β 3 ratings
62.
Theory of Financial Risks: From Statistical Physics to Risk Management
by:
Jean-Philippe Bouchaud
3.81 avg rating β 16 ratings
63.
Principles of Random Walk
by:
Frank Spitzer
3.67 avg rating β 3 ratings
64.
Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics)
by:
Rick Durrett
3.94 avg rating β 36 ratings
65.
Real Analysis and Probability (Cambridge Studies in Advanced Mathematics, Series Number 74)
by:
R.M. Dudley
3.76 avg rating β 17 ratings
66.
Trucks
by:
Chris Oxlade
3.56 avg rating β 9 ratings
67.
Probability and Measure (Wiley Series in Probability and Statistics)
by:
Patrick Billingsley
4.21 avg rating β 66 ratings
68.
Probability with Martingales
by:
China Press
it was ok 2.00 avg rating β 1 rating
69.
Randomized Algorithms
by:
Rajeev Motwani
4.18 avg rating β 51 ratings
70.
Extremal Graph Theory (Dover Books on Mathematics)
by:
BΓ©la BollobΓ‘s
3.36 avg rating β 11 ratings
71.
Extremal Combinatorics: With Applications in Computer Science
by:
Stasys Jukna
4.53 avg rating β 17 ratings
72.
Modern Graph Theory
by:
Bollobas Bela
3.90 avg rating β 58 ratings
73.
Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
by:
Richard P. Stanley
4.19 avg rating β 32 ratings
74.
Three Pearls of Number Theory (Dover Books on Mathematics)
by:
Aleksandr Yakovlevich Khinchin
really liked it 4.00 avg rating β 24 ratings
75.
Cambridge Studies in Advanced Mathematics, Volume 62: Enumerative Combinatorics, Volume 2
by:
Richard P. Stanley
4.08 avg rating β 12 ratings
76.
Lectures on Discrete Geometry (Graduate Texts in Mathematics, 212)
by:
JiΕΓ MatouΕ‘ek
3.80 avg rating β 5 ratings
77.
Proofs from THE BOOK
by:
Martin;Ziegler Aigner
4.40 avg rating β 857 ratings
78.
Graph Theory
by:
Reinhard Diestel
4.06 avg rating β 97 ratings
79.
Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
by:
Richard P. Stanley
4.19 avg rating β 32 ratings
80.
Linear Partial Differential Equations for Scientists and Engineers
by:
Tyn Myint-U
3.79 avg rating β 19 ratings
81.
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
by:
David A. Cox
liked it 3.00 avg rating β 2 ratings
82.
Computational Complexity: A Modern Approach
by:
Sanjeev Arora
4.32 avg rating β 134 ratings
83.
Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modeling and Computation, Series Number 5)
by:
Frank Natterer
it was ok 2.00 avg rating β 1 rating
84.
Partial Differential Equations
by:
Lawrence C. Evans
4.36 avg rating β 114 ratings
85.
Partial Differential Equations
by:
Fritz John
it was amazing 5.00 avg rating β 1 rating
86.
Linear and Nonlinear Waves
by:
G.B. Whitham
3.60 avg rating β 10 ratings
87.
Fundamentals of Radar Imaging (CBMS-NSF Regional Conference Series in Applied Mathematics)
by:
Margaret Cheney
really liked it 4.00 avg rating β 3 ratings
88.
Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light
by:
Max Born
4.13 avg rating β 92 ratings
89.
Continuum Mechanics (Dover Books on Physics)
by:
A.J.M. Spencer
4.32 avg rating β 25 ratings
90.
Fundamentals of Acoustics
by:
Lawrence E. Kinsler
4.16 avg rating β 56 ratings
91.
Abstract algebra
by:
I.N. Herstein
4.06 avg rating β 106 ratings
92.
Mathematical Statistics: Basic Ideas and Selected Topics
by:
Dr Peter J Bickel
2.33 avg rating β 3 ratings
93.
Testing Statistical Hypotheses
by:
Erich L. Lehmann
3.65 avg rating β 17 ratings
94.
The Foundations of Statistics
by:
Leonard J. Savage
3.87 avg rating β 46 ratings
95.
Testing Statistical Hypotheses
by:
Erich L. Lehmann
3.65 avg rating β 17 ratings
96.
Theory of point estimation (Wiley series in probability and mathematical statistics)
by:
Erich L. Lehmann
3.87 avg rating β 23 ratings
97.
Statistical Decision Theory and Bayesian Analysis (Springer Series in Statistics)
by:
James O. Berger
4.19 avg rating β 36 ratings
98.
Essays in the History of Lie Groups and Algebraic Groups (History of Mathematics, V. 21) (History of Mathematics, 21)
by:
Armand Borel
really liked it 4.00 avg rating β 3 ratings
99.
Differential Geometry, Lie Groups, and Symmetric Spaces
by:
Sigurdur Helgason
4.10 avg rating β 10 ratings
100.
Analysis On Manifolds
by:
James R. Munkres
4.06 avg rating β 63 ratings
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