xAI团队Greg Yang的恐怖长书单，Elon点赞！
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书单
▩@TheGregYang - thegregyang.com “数学http://x.ai。2018年摩根奖荣誉奖。发展#TensorPrograms理论和扩展#神经网络的实践。“
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"Naive Set Theory" - Paul R Halmos
"Linear Algebra Done Right Second Edition" - Sheldon Axler
"Mixing Secrets for the Small Studio" - Mike Senior
"Introduction to Algorithms, Third Edition" - Thomas H. Cormen & Charles E. Leiserson & Ronald L. Rivest & Clifford Stein
"Generatingfunctionology" - Herbert S. Wilf
"Information Theory, Inference and Learning Algorithms" - David J. C. MacKay
"Introduction to Quantum Mechanics" - David J. Griffiths
"Probability Theory: The Logic of Science" - E. T. Jaynes & G. Larry Bretthorst
"Topology" - James R. Munkres
"A Concise Introduction to Mathematical Logic" - Wolfgang Rautenberg
"Complex Analysis, 2nd ed" - Lars Ahlfors
"An Introduction to Probability Theory and Its Applications, Vol 1" - William Feller
"Complex Analysis, 3rd ed" - Lars Ahlfors
"A First Course in Linear Algebra" - Robert A. Beezer
"The Principles of Mathematical Analysis" - Walter Rudin
"Math 55 Notes" - Curtis McMullen
"Algebra, 1st ed" - Michael Artin
"Algebraic Number Theory" - J.S. Milne
"Algebraic Number Theory" - Jürgen Neukirch
"Algebraic Theory of Numbers: Translated From the French by Allan J. Silberger" - Pierre Samuel
"Representation Theory: A First Course" - William Fulton & Joe Harris
"Differential Topology" - Victor Guillemin & Alan Pollack
"A First Course in Modular Forms" - Fred Diamond & Jerry Shurman
"A Course in Arithmetic" - Jean Pierre Serre
"Fourier Analysis: An Introduction" - Elias M. Stein & Rami Shakarchi
"Complex Analysis" - Elias M. Stein & Rami Shakarchi
"Real Analysis: Measure Theory, Integration, and Hilbert Spaces" - Elias M. Stein & Rami Shakarchi
"Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing) (Hardcover)" - Thomas M. Cover
"Psychology" - Daniel L. Schacter & Daniel T. Gilbert & Daniel M. Wegner
"Artificial Intelligence: A Modern Approach" - Stuart Jonathan Russell & Peter Norvig
"Pattern Recognition and Machine Learning" - Christopher M. Bishop
"Python Essential Reference" - David M. Beazley
"Topology" - James R. Munkres
"Abstract Algebra" - David S. Dummit & Richard M. Foote
"Principles of Neural Science" - Eric Kandel
"Bayesian Brain: Probabilistic Approaches to Neural Coding" - Kenji Doya & Shin Ishii & Alexandre Pouget & Rajesh P. N. Rao
"Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems" - Peter Dayan & Laurence F. Abbott
"Neuroeconomics: Decision Making and the Brain" - Paul W. Glimcher & Ernst Fehr & Colin Camerer & Russell Alan Poldrack
"Measure Theory" - Donald L. Cohn
"Probability and Random Processes" - Geoffrey R. Grimmett & David R. Stirzaker
"An Introduction to Probability Theory and Its Applications, Vol. 2" - William Feller
"Computational Complexity: A Modern Approach" - Sanjeev Arora & Boaz Barak
"Introduction to Automata Theory, Languages, and Computation" - John E. Hopcroft & Rajeev Motwani & Jeffrey D. Ullman
"Computational Complexity" - Christos H. Papadimitriou
"Computational Complexity: A Conceptual Perspective" - Oded Goldreich
"Introduction to the Theory of Computation" - Michael Sipser
"An Introduction to Kolmogorov Complexity and Its Applications" - Ming Li & Paul M. B. Vitányi
"Handbook of Mathematical Logic" - Jon Barwise
"Mathematical Logic" - Joseph R. Shoenfield
"A Course in Mathematical Logic for Mathematicians" - Yu. I. Manin & Neal Koblitz & B. Zilber
"Advanced Nutrition and Human Metabolism, 5th ed." - Sareen S. Gropper & Jack L. Smith
"Fuzzy Sets and Fuzzy Logic: Theory and Aplications" - George J. Klir & Bo Yuan
"Universe of Fuzzy Sets and Axiomatizatiosn of Fuzzy Set Theory. Part I: Model-Based and Axiomatic Approaches" - Siegried Gottwald
"Electricity and Magnetism 2ed" - Edward M. Purcell & David J. Morin
"Introduction to Electrodynamics" - David J. Griffiths
"Neuroscience: Exploring the Brain" - Mark F. Bear Phd & Barry W. Connors Phd & Michael A. Paradiso Phd
"Algebraic Topology" - Allen Hatcher
"Computer Networks" - Andrew S. Tanenbaum & David J. Wetherall
"Organic Chemistry, 1ed" - Jonathan Clayden & Nick Greeves & Stuart Warren
"Functional Analysis: Introduction to Further Topics in Analysis" - Elias M. Stein & Rami Shakarchi
"Homotopy Type Theory: Univalent Foundations of Mathematics" - Univalent Foundations Program
"Abstract and Concrete Categories - The Joy of Cats" - J. Adamek, H. Herrlich, G. E. Strecker
"Model Theory: An Introduction" - David Marker
"Higher Topos Theory" - Jacob Lurie
"Category Theory (Oxford Logic Guides)" - Steve Awodey
"Quantum Computation and Quantum Information" - Michael A. Nielsen & Isaac L. Chuang
"Categorical homotopy theory" - Emily Riehl
"Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets" - Robert I. Soare
"Introduction to Homotopy Theory (Universitext)" - Martin Arkowitz
"Introduction to Mathematical Logic, Fifth Edition" - Elliott Mendelson
"Proofs and Types" - Jean-Yves Girard
"Universe of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part II: Category Theoretic Approaches" - Siegried Gottwald
"Set Theory" - Thomas Jech
"Principles of Tissue Engineering, 4th Edition" - Robert Lanza & Robert Langer & Joseph P. Vacanti
"Principles of Anatomy and Physiology, 13e with Atlas" - Gerard J. Tortora
"Ordinary Differential Equations" - V. I. Arnold & Richard A. Silverman
"Descriptive Complexity" - Neil Immerman
"An Introduction to Systems Biology: Design Principles of Biological Circuits" - Uri Alon
"An Introduction to Computational Learning Theory" - Michael J. Kearns & Umesh Virkumar Vazirani
"Handbook of Set Theory" - Matthew Foreman & Akihiro Kanamori
"Computable Analysis: An Introduction" - Klaus Weihrauch
"Categorical Logic and Type Theory" - Bart Jacobs
"Elements of Finite Model Theory" - Leonid Libkin
"Measure Theory: Second Edition" - Donald L. Cohn
"Measure Theory vol 1" - Vladimir I. Bogachev
"Measure Theory vol 2" - Vladimir I. Bogachev
"Real and Complex Analysis" - Walter Rudin
"Model Theory" - C.C.Chang & H.Jerome Keisler
"The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings" - Akihiro Kanamori
"Descriptive Set Theory" - Yiannis N. Moschovakis
"Classical Descriptive Set Theory (Graduate Texts in Mathematics) (V. 156)" - Alexander Kechris
"Invariant Descriptive Set Theory" - Su Gao
"Structural Proof Theory" - Sara Negri, Jan Von Plato
"Proof Theory" - Gaisi Takeuti
"Categories and Sheaves" - Masaki Kashiwara & Pierre Schapira
"Topoi: The Categorial Analysis of Logic" - Robert Goldblatt
"Communication Complexity" - Eyal Kushilevitz & Noam Nisan
"Types and Programming Languages" - Benjamin C. Pierce
"Advanced Topics in Types and Programming Languages" - Benjamin C. Pierce
"Sheaves in Geometry and Logic: A First Introduction to Topos Theory" - Saunders MacLane & Ieke Moerdijk
"Introduction to Smooth Manifolds" - John M. Lee
"An Introduction to Manifolds" - Loring W. Tu
"Principles of Neural Science, Fifth Edition (Principles of Neural Science (Kandel))" - Kandel, Eric & Schwartz, James & Jessell, Thomas & Siegelbaum, Steven & Hudspeth, A.J.
"Pattern Theory: From Representation to Inference" - Ulf Grenander & Michael I. Miller
"Pattern Theory: The Stochastic Analysis of Real-World Signals" - David Mumford & Agnès Desolneux
"Topology and Geometry" - Glen E. Bredon
"Differential Forms in Algebraic Topology" - Raoul Bott & Loring W. Tu
"An Introduction to Algebraic Topology" - Joseph Rotman
"A Concise Course in Algebraic Topology" - J. P. May
"The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians" - David Mumford
"The Geometry of Schemes" - David Eisenbud & Joe Harris
"Algebraic Geometry" - Robin Hartshorne
"Commutative Algebra With a View Toward Algebraic Geometry" - David Eisenbud
"Introduction to Commutative Algebra" - Michael Atiyah, Ian G. Macdonald
"Realizability: An Introduction to Its Categorical Side" - Jaap van Oosten
"Toposes and Local Set Theories: An Introduction" - J. L. Bell
"Topos Theory (Dover Books on Mathematics)" - P. T. Johnstone
"Sketches of an Elephant: A Topos Theory Compendium" - P. T. Johnstone
"Categories for the Working Mathematician" - Saunders Mac Lane
"Simplicial Homotopy Theory" - Paul G. Goerss & John F. Jardine
"Handbook of Categorical Algebra: Volume 1, Basic Category Theory" - Francis Borceux
"Handbook of Categorical Algebra: Volume 2, Categories and Structures" - Francis Borceux
"Handbook of Categorical Algebra: Volume 3, Categories of Sheaves" - Francis Borceux
"Categorical Homotopy Theory" - Emily Riehl
"Simplicial Objects in Algebraic Topology" - J. P. May
"Algebra" - Saunders Mac Lane & Garrett Birkhoff
"Game Theory: Analysis of Conflict" - Roger B. Myerson
"Counterexamples in Analysis (Dover Books on Mathematics)" - Bernard R. Gelbaum, John M. H. Olmsted
"Computational Complexity: A Quantitative Perspective" - Marius Zimand
"Resource Bounded Measure" - Jack Lutz
"Elements of the Theory of Functions and Functional Analysis, vol I" - A. N. Kolmogorov & S. V. Fomin
"Elements of the Theory of Functions and Functional Analysis, vol II" - A. N. Kolmogorov & S. V. Fomin
"Introductory Functional Analysis With Applications" - Erwin Kreyszig
"Introduction to Functional Analysis" - Reinhold Meise & Dietmar Vogt
"Noncommutative Geometry" - Alain Connes
"The Algebra of Proofs, Vol. 88 (Studies in Logic and the Foundations of Mathematics)" - M. E. Szabo
"Complexity Theory of Real Functions" - Ker-i Ko
"Principles of Algebraic Geometry" - Phillip Griffiths & Joe Harris
"An Introduction to Homological Algebra" - Charles A. Weibel
"Algebraic Geometry and Statistical Learning Theory" - Sumio Watanabe
"Theory of Linear and Integer Programming" - Alexander Schrijver
"Higher Operads, Higher Categories" - Tom Leinster
"Intuitionistic type theory" - Per Martin-Lof
"The calculus of constructions" - T. Coquand, Gérard Huet
"Treatise on Intuitionistic Type Theory" - Johan Georg Granström
"Fundamentals of the Theory of Operator Algebras: Volume II. Advanced Theory" - Kadison, Richard V. & Ringrose, John R.
"Fundamentals of the Theory of Operator Algebras: Volume I. Elementary Theory" - Kadison, Richard V. & Ringrose, John R.
"Operator Algebras: Theory of C*-Algebras and Von Neumann Algebras" - Bruce Blackadar
"Fundamentals of the Theory of Operator Algebras: Volume IV. Special Topics. Advanced Theory - An Exercise Approach" - Kadison, Richard V. & Ringrose, John R.
"Algorithmic Randomness and Complexity" - Rodney G. Downey, Denis R. Hirschfeldt
"Modal Logic" - Patrick Blackburn & Maarten de Rijke & Yde Venema
"Riemannian Manifolds: An Introduction to Curvature" - John M. Lee
"Introduction to Topological Manifolds (Second edition)" - John M. Lee
"Continuous Lattices and Domains" - G. Gierz & K. H. Hofmann & K. Keimel & J. D. Lawson & M. Mislove & D. S. Scott
"Mathematical Theory of Domains" - V. Stoltenberg-Hansen & I. Lindström & E. R. Griffor
"Algebraic Geometry: A First Course (Graduate Texts in Mathematics 133)" - Joe Harris
"Rational Homotopy Theory" - Yves Felix & Steve Halperin & Jean-Claude Thomas
"Basic Proof Theory" - A. S. Troelstra & H. Schwichtenberg
"Computable Analysis" - Oliver Aberth
"Domain Theory" - Samson Abramsky, Achim Jung
"Finite Model Theory and Its Applications" - Erich Grädel & Phokion G. Kolaitis & Leonid Libkin & Maarten Marx & Joel Spencer & Moshe Y. Vardi & Yde Venema & Scott Weinstein
"Probability and Stochastics" - Erhan Çınlar
"Analysis of Boolean Functions" - Ryan O'Donnell
"The Algorithmic Foundations of Differential Privacy" - Cynthia Dwork & Aaron Roth
"Algebraic Geometry: Part I: Schemes. With Examples and Exercises" - Ulrich Görtz & Torsten Wedhorn
"Algebraic Geometry and Commutative Algebra" - Siegfried Bosch
"Introduction to Lattices and Order" - B. A. Davey & H. A. Priestley
"The Discrepancy Method: Randomness and Complexity" - Bernard Chazelle
"Topology via Logic" - Steven Vickers
"homotopy theories and model categories" - W.G. Dwyer & J.Spalinski
"Model Categories" - Mark Hovey
"Gray's Atlas of Anatomy" - Richardson, Paul, Drake, Richard, Vogl, A. Wayne, Mitchell, Adam W. M., Tibbitts, Richard
"Harrison's Principles of Internal Medicine 18E Vol 2 EB" - Dan Longo & Anthony Fauci & Dennis Kasper & Stephen Hauser & J. Jameson & Joseph Loscalzo
"Advanced Nutrition and Human Metabolism, 6th ed." - Sareen S. Gropper & Jack L. Smith
"Organic Chemistry" - David R. Klein
"Organic Chemistry As a Second Language: Second Semester Topics, 3rd edition" - David R. Klein
"Organic Chemistry I as a Second Language: Translating the Basic Concepts" - David R. Klein
"Organic Chemistry, 2ed" - Jonathan Clayden & Nick Greeves & Stuart Warren
"Bates' Guide to Physical Examination and History-Taking" - Lynn Bickley
"Handbook of Spatial Logics" - Marco Aiello & Ian Pratt-Hartmann & Johan van Benthem
"General Topology" - Ryszard Engelking
"Topology: Volume II (Volume 2)" - K. Kuratowski
"Topology: Volume I (Volume 1)" - K. Kuratowski
"Classical Mechanics" - John R. Taylor
"Chemistry" - Steven Zumdahl & Susan Zumdahl
"Graph Theory (Graduate Texts in Mathematics)" - Reinhard Diestel
"Graph Theory" - Adrian Bondy & U. S. R. Murty
"The Mathematics of Systems and Control: From Intelligent Control to Behavioral Systems" - Jan Willem Polderman & H. L. Trentelman & Jan C. Willems
"Cellular Automata: A Discrete View of the World" - Joel L. Schiff
"Cellular Automata and Groups" - Tullio Ceccherini-Silberstein, Michel Coornaert
"A New Kind of Science" - Stephen Wolfram
"Computer Systems: A Programmer's Perspective (2nd Edition)" - Randal E. Bryant
"Electricity and Magnetism 3ed" - Edward M. Purcell & David J. Morin
"A First Course in General Relativity" - Bernard Schutz
"Gravity: An Introduction to Einstein's General Relativity" - James B. Hartle
"Gravitation" - Charles W. Misner & Kip S. Thorne & John Archibald Wheeler
"Certified Programming With Dependent Types: A Pragmatic Introduction to the Coq Proof Assistant" - Adam Chlipala
"Spacetime Physics" - Edwin F. Taylor & John Archibald Wheeler
"Introduction to Special Relativity" - Wolfgang Rindler
"Basic Neurochemistry, Eighth Edition: Principles of Molecular, Cellular, and Medical Neurobiology" - Scott Brady & George Siegel & R. Wayne Albers & Donald Price
"Theory of Computational Complexity" - Ding-Zhu Du & Ker-i Ko
"Design and Analysis of Approximation Algorithms" - Ding-Zhu Du & Ker-i Ko & Xiaodong Hu
"Complex Analysis" - Serge Lang
"Functions of One Complex Variable" - John B Conway
"More Concise Algebraic Topology: Localization, Completion, and Model Categories" - J. P. May & K. Ponto
"Modern Classical Homotopy Theory" - Jeffrey Strom
"Elements of Homotopy Theory" - George W. Whitehead
"Homotopy Theory of Higher Categories: From Segal Categories to N-Categories and Beyond (New Mathematical Monographs)" - Carlos Simpson
"Mathematical Methods of Classical Mechanics" - V. I. Arnold
"Calculus of Variations (Dover Books on Mathematics)" - I. M. Gelfand & S. V. Fomin
"The Variational Principles Of Mechanics" - Cornelius Lanczos
"Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory" - Ulrich Höhle & Erich Peter Klement
"Axiomatic Fuzzy Set Theory and Its Applications (Studies in Fuzziness and Soft Computing)" - Xiaodong Liu, Witold Pedrycz
"Prolog Programming for Artificial Intelligence" - Ivan Bratko
"Complexity Theory for Operators in Analysis" - Akitoshi Kawamura & Stephen Cook
"Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation" - Florian Scheck
"Electromagnetic Theory and Computation: A Topological Approach (Mathematical Sciences Research Institute Publications)" - Paul W. Gross
"The Convenient Setting of Global Analysis" - Andreas Kriegl & Peter W. Michor
"The Realizability Approach to Computable Analysis and Topology" - Andrej Bauer
"Homotopy type theory and Voevodsky's univalent foundations" - Álvaro Pelayo & Michael A. Warren
"Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)" - Jorg Flum & Martin Grohe
"Invitation to Fixed Parameter Algorithms (Oxford Lecture Series in Mathematics and Its Applications Series, #31)" - Rolf Niedermeier
"Parameterized Complexity" - Rodney G. Downey & M. R. Fellows
"Fundamentals of the Theory of Operator Algebras: Special Topics Volume III Elementary Theory - an Exercise Approach (Volume 3)" - Kadison, Richard V. & Ringrose, John R.
"Very Large Cardinals" - Peter Koellner
"Set Theory: The Independence Phenomenon" - Peter Koellner
"Locally Presentable and Accessible Categories" - J. Adamek & J. Rosicky
"Lectures on Linear Logic" - A. S. Troelstra
"Logical Foundations of Proof Complexity" - Stephen Cook, Phuong Nguyen
"Introduction to Circuit Complexity: A Uniform Approach" - Heribert Vollmer
"Neural Networks for Pattern Recognition" - Christopher M. Bishop
"Machine Learning: A Probabilistic Perspective (Adaptive Computation and Machine Learning Series)" - Kevin P. Murphy
"Reinforcement Learning: State-of-the-Art" - Marco Wiering & Martijn van Otterlo
"Learning From Data" - Yaser S. Abu-Mostafa & Malik Magdon-Ismail & Hsuan-Tien Lin
"Combinatorial Species and Labelled Structures" - Brent Yorgey
"Introduction to Process Algebra" - Wan Fokkink
"Handbook of Process Algebra" - J. A. Bergstra & A. Ponse & S. A. Smolka
"Process Algebra: Equational Theories of Communicating Processes (Cambridge Tracts in Theoretical Computer Science)" - J. C. M. Baeten, T. Basten, M. A. Reniers
"Process Algebra for Parallel and Distributed Processing (Chapman & Hall/CRC Computational Science)" - Michael Alexander & William Gardner
"Resource-Bounded Measure and Randomness" - Klaus Ambos-Spies & Elvira Mayordomo
"Randomness and Completeness in Computational Complexity" - Dieter van Melkebeek
"All of Statistics: A Concise Course in Statistical Inference" - Larry Wasserman
"The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition (Springer Series in Statistics)" - Trevor Hastie & Robert Tibshirani & Jerome Friedman
"Denotational Semantics: A Methodology for Language Development" - David A. Schmidt
"Information Geometry: Near Randomness and Near Independence" - Khadiga Arwini & C. T. J. Dodson & A. J. Doig & W. W. Sampson & J. Scharcanski & S. Felipussi
"Methods of Information Geometry" - Shun-Ichi Amari & Hiroshi Nagaoka
"Notions of computation and monads" - Eugenio Moggi
"Sparsity: Graphs, Structures, and Algorithms" - Jaroslav Nešetril & Patrice Ossona de Mendez
"Institution-Independent Model Theory" - Razvan Diaconescu
"Model Categories and Their Localizations" - Philip S. Hirschhorn
"Homotopy Limit Functors on Model Categories and Homotopical Categories" - William G. Dwyer & Philip S. Hirschhorn & Daniel M. Kan & Jeffrey H. Smith
"Digital Design and Computer Architecture" - Sarah Harris & David Money Harris
"Introduction to the Theory of Distributions" - Friedrich Gerard Friedlander & Mark Suresh Joshi
"Distributions and Operators" - Gerd Grubb
"A LEISURELY INTRODUCTION TO SIMPLICIAL SETS" - Emily Riehl
"General Topology" - John Leroy Kelley
"A Gentle Introduction to Type Classes and Relations in Coq" - Pierre Castéran, Matthieu Sozeau
"Neural-Symbolic Cognitive Reasoning" - Artur S. D'Avila Garcez & Luís C. Lamb & Dov M. Gabbay
"Neural-Symbolic Learning Systems" - Artur S. D'Avila Garcez & Krysia Broda & Dov M. Gabbay
"An Elementary Introduction to Modern Convex Geometry" - KEITH BALL
"Functional Analysis" - Walter Rudin
"Topological Vector Spaces (Graduate Texts in Mathematics)" - H. H. Schaefer & M. P. Wolff
"Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering" - Steven Henry Strogatz
"Complex Geometry" - Daniel Huybrechts
"Convex Optimization" - Stephen Boyd & Lieven Vandenberghe
"Convex Optimization Algorithms" - Dimitri P. Bertsekas
"Genetic Algorithms in Search, Optimization, and Machine Learning" - David E. Goldberg
"Statistical Decision Theory and Bayesian Analysis" - James O. Berger
"Differential Geometry and Statistics" - M. K. Murray & J. W. Rice
"Tinnitus Retraining Therapy: Implementing the Neurophysiological Model" - Pawel J. Jastreboff & Jonathan W. P. Hazell
"Discrete Dynamical Systems and Chaotic Machines: Theory and Applications" - Bahi, Jacques
"Discrete Dynamical Systems" - Oded Galor
"A First Course in Discrete Dynamical Systems" - Richard Holmgren
"Digital Signal Processing" - John G. Proakis & Dimitris G. Manolakis
"Stochastic Processes: Theory for Applications" - Robert G. Gallager
"Engineering Circuit Analysis" - William Hart Hayt & Jack Ellsworth Kemmerly & Steven M. Durbin
"Computational Homology (Applied Mathematical Sciences)" - Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
"Ergodic Theory and Information" - Patrick Billingsley
"An Introduction to Ergodic Theory" - Peter Walters
"Statistical Mechanics" - R K Pathria & Paul D. Beale
"Statistical Physics of Fields" - Kardar, Mehran
"Solutions manual to Kardar" - Kardar, Mehran
"A Modern Course in Statistical Physics" - L. E. Reichl
"Partial Differential Equations: An Introduction, 2nd Edition" - Walter A. Strauss
"Mathematical Linguistics" - Andras Kornai
"PARTIAL DIFFERENTIAL EQUATIONS (2ND EDN)" - Lawrence C.Evans
"Principles of Corporate Finance" - Richard A. Brealey & Stewart C. Myers & Franklin Allen
"Principles of Economics 5th ed" - Robert Frank & Ben Bernanke & Kate Antonovics & Ori Heffetz
"Principles of Economics" - N. Mankiw
"Nonparametric Statistics" - Gregory W. Corder, Dale I. Foreman
"Learning Theory : An Approximation Theory Viewpoint" - FELIPE CUCKER & DING-XUAN ZHOU
"A Probabilistic Theory of Pattern Recognition" - Luc Devroye, László Györfi, Gábor Lugosi
"Neural Network Learning: Theoretical Foundations" - Martin Anthony
"Neural Networks and Learning Machines, Third Edition" - Simon Haykin
"Mathematical Control Theory: Deterministic Finite Dimensional Systems" - Eduardo D. Sontag
"Reinforcement Learning: An Introduction" - Richard S. Sutton & Andrew G. Barto
"Simulation and the Monte Carlo Method" - Reuven Y. Rubinstein & Dirk P. Kroese
"Martingale Limit Theory and Its Application" - P. Hall & C. C. Heyde
"The Princeton Companion to Mathematics" - Timothy Gowers & June Barrow-Green & Imre Leader
"The Radon Transform and Some of Its Applications" - Stanley Roderick Deans
"Geometric Analysis on Symmetric Spaces" - Sigurdur Helgason
"Evolutionary Dynamics: Exploring the Equations of Life" - Martin A. Nowak
"Introductory Lectures on Convex Optimization: A Basic Course (Applied Optimization)" - Yurii Nesterov
"One Thousand Exercises in Probability" - Geoffrey Grimmett & David Stirzaker
"Intuitive Combinatorial Topology" - V. G. Boltyanskii & V. A. Efremovich & J. Stillwell & A. Shenitzer
"Stochastic Approximation and Its Applications" - Han-Fu Chen
"Lectures on Polytopes (Graduate Texts in Mathematics 152)" - Günter M. Ziegler
"Combinatorial Commutative Algebra" - Ezra Miller & Bernd Sturmfels
"Combinatorics and Commutative Algebra" - Richard Stanley
"Cohen-Macaulay Rings (Cambridge Studies in Advanced Mathematics)" - Winfried Bruns & H. Jürgen Herzog
"Sheaf Theory" - Glen E. Bredon
"Linear Representations of Finite Groups (Graduate Texts in Mathematics) (V. 42)" - Jean-Pierre Serre
"Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs)" - Robert Lowen
"Weak Convergence and Empirical Processes: With Applications to Statistics" - A. W. van Der Vaart & Jon Wellner
"The Nature of Statistical Learning Theory (Information Science and Statistics)" - Vladimir Vapnik
"Computer Architecture: A Quantitative Approach" - John L. Hennessy & David A. Patterson
"The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra" - David Eisenbud
"Combinatorial Algebraic Topology" - Dmitry Kozlov
"Algebraic Complexity Theory" - Peter Bürgisser & Michael Clausen & Amin Shokrollahi
"Perceptrons: An Introduction to Computational Geometry" - Marvin Lee Minsky & Seymour Papert
"Introduction to Compact Transformation Groups, Volume 46 (Pure and Applied Mathematics)" - Glen E. Bredon
"Random Walks on Disordered Media and Their Scaling Limits: École D'Été De Probabilités De Saint-Flour XL - 2010" - Takashi Kumagai
"Principles of Condensed Matter Physics" - P. M. Chaikin & T. C. Lubensky
"Statistical Physics of Particles" - Mehran Kardar
"An Introduction to Difference Equations" - Saber N. Elaydi
"Differential-Difference Equations" - Richard Ernest Bellman, Kenneth L. Cooke
"Information, Physics, and Computation (Oxford Graduate Texts)" - Marc Mézard, Andrea Montanari
"Statistical Physics of Spin Glasses and Information Processing: An Introduction" - Hidetoshi Nishimori
"Causal Inference in Statistics: A Primer" - Judea Pearl & Madelyn Glymour & Nicholas P. Jewell
..to be continued..
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"Additive Combinatorics (Cambridge Studies in Advanced Mathematics)" - Terence Tao
"Lie Groups: An Approach Through Invariants and Representations (Universitext)" - Claudio Procesi
"Algebraic Geometry in Coding Theory and Cryptography" - HARALD NIEDERREITER & CHAOPING XING
"Representation Theory of Finite Monoids" - Benjamin Steinberg
"Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory" - Carl M. Bender & Steven A. Orszag
"Percolation" - Geoffrey Grimmett
"Complexity and Criticality" - Kim Christensen & Nicholas R. Moloney
"Catastrophe Theory" - V. I Arnold
"Topics in Random Matrix Theory" - Terence Tao
"Statistical Mechanics: Rigorous Results" - David Ruelle
"Distributed Computing Through Combinatorial Topology" - Maurice Herlihy & Sergio Rajsbaum
"Higher Order Fourier Analysis" - Terence Tao
"Random Matrices, Volume 142, Third Edition (Pure and Applied Mathematics)" - Madan Lal Mehta
"Combinatorial Optimization: Theory and Algorithms" - Bernhard Korte & Jens Vygen
"Probability and Computing: Randomized Algorithms and Probabilistic Analysis" - Michael Mitzenmacher & Eli Upfal
"The Design of Approximation Algorithms" - David P. Williamson
"The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization)" - Noga Alon & Joel H. Spencer
"Oriented Matroids" - Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M. Ziegler
"Stochastic Differential Equations: An Introduction With Applications" - Bernt Oksendal
"The Fokker-Planck Equation: Methods of Solution and Applications" - Hannes Risken
"Nonlinear Fokker-Planck Equations: Fundamentals and Applications" - T. D. Frank
"Neuro-Dynamic Programming" - Dimitri P. Bertsekas & John N. Tsitsiklis
"Abstract Dynamic Programming" - Dimitri P. Bertsekas
"Stochastic Approximation Algorithms and Applications" - Harold Joseph Kushner & George Yin
"Stability Theory by Liapunov's Second Method" - Taro Yoshizawa
"Introduction to Toric Varieties" - William Fulton
"Toric varieties" - David Cox, John Little, Hal Schenck
"Mathematical Methods for Physicists, 6th Edition" - George B. Arfken
"Geometric Measure Theory: A Beginner's Guide" - Frank Morgan
"Geometric Measure Theory" - Herbert Federer
"Lectures on Geometric Measure Theory" - Leon Simon & Australian National University. Centre For Mathematical Analysis
"Measure Theory and Fine Properties of Functions, Revised Edition" - Lawrence Craig Evans & Ronald F. Gariepy
"Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability" - Pertti Mattila
"Free Probability and Random Matrices" - James A. Mingo & Roland Speicher
"The Dynamical System Generated by the 3n+1 Function" - Günther J. Wirsching
"Introduction to Finance: Markets, Investments, and Financial Management, 16th Edition: Markets, Investments, and Financial Management" - Ronald W. Melicher & Edgar A. Norton
"Exponential Sums and Their Applications" - N.m Korobov
"A Course in P-Adic Analysis" - Alain M. Robert
"Transcendental and Algebraic Numbers" - A. O. Gelfond & Leo F. Boron
"Introduction to Analytic Number Theory" - Tom M. Apostol
"What Is a Quantum Field Theory?" - Michel Talagrand
"Gravity: An Introduction to Einstein's General Relativity, Pearson New International Edition" - James B. Hartle
"Faraday, Maxwell, and the Electromagnetic Field: How Two Men Revolutionized Physics" - Nancy Forbes & Basil Mahon
"Optimal Transport: Old and New" - Cédric Villani
"Mean Field Models for Spin Glasses: Volume II: Advanced Replica-Symmetry and Low Temperature" - Michel Talagrand
"Mean Field Models for Spin Glasses: Volume I: Basic Examples" - Michel Talagrand
"Quantum Physics: A Functional Integral Point of View" - James Glimm & Arthur Jaffe
"Introduction to Conformal Field Theory: With Applications to String Theory (Lecture Notes in Physics)" - Ralph Blumenhagen, Erik Plauschinn
"Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems" - Michel Talagrand
"The Generic Chaining: Upper and Lower Bounds of Stochastic Processes" - Michel Talagrand
"Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2014–2016" - Bo'Az Klartag & Emanuel Milman
"Random Fields and Geometry" - R. J. Adler & Jonathan E. Taylor
参考
说明：本文在公众号里标注为“原创”仅为防止未经许可的转发，本文引用内容的版权属于原作者和原媒体。
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