Applied Mathematics & Mathematical Physics Books

Advanced Analytic Methods in Science and Engineering
by Hung Cheng, 2004, PDF

Advanced Graph Theory and Combinatorial Optimization
by Alexander Schrijver, 64 pp, 430KB, PDF

Algorithmic Game Theory
edited by Noam Nisan, at al. 2007, 775 pages, 5.2MB, PDF

Analytical Classical Dynamics: An intermediate level course
by Richard Fitzpatrick, 2007, 315 pages, 3.1MB, PDF

Applications of global analysis in mathematical physics
by Jerrold E. Marsden, 1974, 277 pages, 17MB, PDF

Applied Combinatorics
by Mitchel T. Keller, William T. Trotter, 2013, 345 pp, 25MB, PDF

Applied Finite Mathematics
by Rupinder Sekhon, 2011, 347 pp

Applied Mathematical Programming Using Algebraic Systems
by Bruce A. McCarl, Thomas H. Spreen, 2011, 567 pages, 1.7MB, PDF

Applied Mathematics by Example: Theory
by Jeremy Pickles, 2010, 134 pages, PDF

Applied Mathematics by Example: Exercises
by Jeremy Pickles, 2010, 121 pages, PDF

Around the Boundary of Complex Dynamics
by Roland K. W. Roeder, 2015, 56 pp, 1.5MB, PDF

The Basics of Financial Mathematics
by Richard F. Bass, 2003, 106 pages, 0.5MB, PDF

The Chaos Hypertextbook
by Glenn Elert, 2007

Chaos Theory
by Kais A. Mohamedamen Al Naimee (ed.), 2018, 260 pp, multiple PDF files

Combinatorics on Words: Christoffel Words and Repetition in Words
by J. Berstel, A. Lauve, C. Reutenauer, F. Saliola, 2008, 202 pages, 2.6MB, PDF

The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy
by John D. Williams, 1982, 286 pages, 7.9MB, PDF

Complex and Adaptive Dynamical Systems: A Primer
by Claudius Gros, 2008, 276 pages, 4.2MB, PDF

Complex Dynamics and Renormalization
by Curtis T. McMullen, 1994, 219 pp, 1.2MB, PDF

Computable Integrability
by Alexey Shabat, Elena Kartashova, 2011, 174 pp, 780KB, PDF

Computational Turbulent Incompressible Flow
by Johan Hoffman, Claes Johnson, 2007, 415 pages, 22MB, PDF

Constrained mechanics and Lie theory
by Robert Hermann, 1992

Constructive Nonlinear Control
by R. Sepulchre, M. Jankovic, P. Kokotovic, 1996, 323 pages, 1.5MB, PDF

Control Theory: From Classical to Quantum Optimal, Stochastic, and Robust Control
by M.R. James, 2005, 89 pages, 550KB, PDF

Convex Optimization
by Stephen Boyd, Lieven Vandenberghe, 2004, 730 pages, 5.5MB, PDF

Cook-Book Of Mathematics
by Viatcheslav Vinogradov, 1999, 116 pages, 700KB, PDF

A Course in Combinatorial Optimization
by Alexander Schrijver, 2012, 221 pp, 1.4MB, PDF

The Craft of Fractional Modelling in Science and Engineering
by Jordan Hristov (ed.), 2018, 140 pp, 2.1MB, PDF

Cryptography, A Study on Secret Writings
by Andre Langie, 1922, 192 pages, 15MB, PDF

Data Assimilation: A Mathematical Introduction
by K.J.H. Law, A.M. Stuart, K.C. Zygalakis, 2015, 158 pp, 2.2MB, PDF

Decision Making and Productivity Measurement
by Dariush Khezrimotlagh, 2016, 214 pp, 4.6MB, PDF

Derivations of Applied Mathematics
by Thaddeus H. Black, 2008, 492 pages, 2.4MB, PDF

Design of Comparative Experiments
by R. A. Bailey, 2008, 348 Pages, PDF

Digraphs: Theory, Algorithms and Applications
by Jorgen Bang-Jensen, Gregory Gutin, 2002, 772 pages, 3.5MB, PDF

Discrete Dynamical Systems
by Arild Wikan, 2013, 254 pp, 5.7MB, PDF

Discrete Math for Computer Science Students
by Ken Bogart, Cliff Stein, 2003, 252 pp, multiple PDF files

Discrete Mathematics with Algorithms
by M. O. Albertson, J. P. Hutchinson, 1988, 560 pp, multiple PDF files

Discrete Optimization
by Guido Schaefer, 2012, 97 pp, 690KB, PDF

Discrete Oscillation Theory
by Ravi P. Agarwal, at al. 2005

Distributed-Parameter Port-Hamiltonian Systems
by Hans Zwart, Birgit Jacob, 2009, 208 pages, 1.2MB, PDF

Doing Physics with Quaternions
by Douglas B. Sweetser, 2005, 157 pages, 560KB, PDF

Dynamic Graphs, Quaternion Analysis, and Unified Field Theory
by Douglas B. Sweetser, 2005, 76 pages, 1.3MB, PDF

Dynamic Systems
by John Hassler, 87 pages, PDF

Dynamical Systems
by Jose A. Tenreiro Machado (ed.), 2014, 553 pp, 18MB, PDF

Dynamical Systems
by Shlomo Sternberg, 2000, 151 pp, 1MB, PDF

Dynamical Systems: Analytical and Computational Techniques
by Mahmut Reyhanoglu, 2017, 272 pp, multiple formats

Dynamics, Ergodic Theory, and Geometry
by Boris Hasselblatt, 2007, 334 pages, PDF

Dynamics in One Complex Variable
by John Milnor, 1991, 146 pages, PDF

by Michael Creel, 2008, 376 pages, 2.6MB, PDF

Elementary catastrophe theory
by Peter W. Michor, 1985, 9.9MB, PDF

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral, 2007, 3.2MB, PDF

An Elementary Introduction to Groups and Representations
by Brian C. Hall, 2000, 128 pages, 950KB, PDF

Elementary Symbolic Dynamics and Chaos in Dissipative Systems
by Bai-Lin Hao, 1989, 475 pp, 20MB, PDF

An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
by William Elwood Byerly, 1893, 309 pages, 1.3MB, PDF

Elements for Physics: Quantities, Qualities, and Intrinsic Theories
by Albert Tarantola, 2006, 280 pages, 3.7MB, PDF

Elements of Applied Mathematics
by Cobb Herbert E. 1911

Encyclopedia of Dynamical Systems
by D. Anosov, at al. 2009

Engineering Mathematics
by Charles Proteus Steinmetz, 1911, 326 pp, multiple formats

Entropy and Partial Differential Equations
by Lawrence C. Evans, 2003, 213 pages, 1MB, PDF

Entropy of Compact Group Automorphisms
by Thomas Ward, 2001, 84 pp, PDF

Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra
by A. T. Baraviera, R. Leplaideur, A. O. Lopes, 2013, 106 pp, 1MB, PDF

Ergodic Theory of Differentiable Dynamical Systems
by Lai-Sang Young, 2010, 48 pages, 430KB, PDF

Extremes and Recurrence in Dynamical Systems
by Valerio Lucarini, et al., 2016, 305 pp, 5.5MB, PDF

Foundations of Combinatorics with Applications
by Edward A. Bender, S. Gill Williamson, 2006, 480 pp, multiple PDF files

Foundations of Cryptography
by Oded Goldreich, 1998, PS

Fractal Analysis
by Sid-Ali Ouadfeul (ed.), 2019, 312 pp, multiple PDF files

Fractional Calculus: Theory and Applications
by Francesco Mainardi (ed.), 2018, 210 pp, 4.3MB, PDF

Fractional Dynamics
by Carlo Cattani, et al., 2016, 408 pp, multiple PDF files

Functional and Structured Tensor Analysis for Engineers
by R. M. Brannon, 2003, 323 pages, 3.6MB, PDF

Game Theory
by Giacomo Bonanno, 2015, 585 pp, 5.2MB, PDF

Game Theory
by Thomas S. Ferguson, 2008, PDF

Games, Fixed Points and Mathematical Economics
by Christian-Oliver Ewald, 2007, 134 pages, 860KB, PDF

Games of No Chance 3
by Michael H. Albert, Richard J. Nowakowski, 2009, 586 pages, PDF

Games of No Chance 4
by Richard J. Nowakowski (ed.), 2015, 339 pp, multiple PDF files

Games of Strategy: Theory and Applications
by Melvin Dresher, 1961, 196 pages, 6.2MB, PDF

Gauge theory for fiber bundles
by Peter W. Michor, 1998, 106 pages, 600KB, PDF

Geometrical Theory of Dynamical Systems
by Nils Berglund, 2001, 85 pages, 2.2MB, PDF

The Geometrization of Physics
by Richard S. Palais, 1981, 107 pages, 630KB, PDF

Geometry and Quantum Field Theory
by Pavel Etingof, MIT, 2002

Geometry in Physics
by Alexander Altland, 2010, 79 pages, 3MB, PDF

Geometry, Topology and Physics, part 2
by Maximilian Kreuzer, 2010, PDF

Graduate-Level Course in Game Theory
by Jim Ratliff, 1997, PDF

Handbook of Applied Cryptography
by Alfred Menezes, Paul van Oorschot, Scott Vanstone, 1996, 816 pages, PDF

Hyperbolic Manifolds, Discrete Groups and Ergodic Theory
by Curtis T. McMullen, 2011, 118 pp, 4.1MB, PDF

Inside Out: Inverse Problems and Applications
edited by Gunther Uhlmann, 2003, 400 pages, PDF

Integer Programming and Combinatorial Optimization
by Dimitris Bertsimas, 2004, PDF

Introducing categories to the practicing physicist
by Bob Coecke, 2008, 30 pages, 280KB, PDF

Introduction to Algebraic and Constructive Quantum Field Theory
by John C. Baez, Irving E. Segal and Zhengfang Zhou, 1992

Introduction to Braided Geometry and q-Minkowski Space
by Shahn Majid, 1994, 60 pages, 680KB, PDF

Introduction to Dynamical Systems: A Hands-on Approach with Maxima
by Jaime E. Villate, 2006, 450KB, PDF

Introduction to Graphs
by Alexander K. Hartmann, Martin Weigt, 2006, 45 pages, 340KB, PDF

Introduction to Graphs
Wikipedia, 2014, online html

Introduction to Groups, Invariants and Particles
by Frank W. K. Firk, 2000, 162 pages, 0.4MB, PDF

An Introduction to Hyperbolic Analysis
by Andrei Khrennikov, Gavriel Segre, 2005, 42 pages, 350KB, PDF

An Introduction to Mathematical Optimal Control Theory
by Lawrence C. Evans, 2010, 126 pages, 690KB, PDF

Introduction to Methods of Applied Mathematics
by Sean Mauch, 2004, 2321 pages, 9.2MB, PDF

An Introduction to Nonlinear Optimization Theory
by Marius Durea, Radu Strugariu, 2014, 328 pp, multiple PDF files

Introduction to Non-Linear Algebra
by V. Dolotin, A. Morozov, 2008, 141 pages, 1.8MB, PDF

Introduction to Physics
by Igor Dolgachev, 1996, 286 pages, PDF

Introduction to Potential Theory via Applications
by Christian Kuehn, 2008

An Introduction to Statistical Signal Processing
by R. M. Gray, L. D. Davisson, 2005, 478 pages, 2.9MB, PDF

Introduction to Tensor Calculus and Continuum Mechanics
by J. H. Heinbockel, 2001, 432 pages, 4MB, ZIP/PDF

Introduction to the Mathematics of Wavelets
by Willard Miller, 2006, 294 pages, 1.3MB, PDF

Introduction to Vertex Algebras
by Christophe Nozaradan, 2008, 94 pages, 700KB, PDF

Introductory Map Theory
by Yanpei Liu, 2010, 503 pp, 2.3MB, PDF

Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem
by Peter B. Gilkey, 1984, DVI/PS

Inverse Problem Theory and Methods for Model Parameter Estimation
by Albert Tarantola, 2004, 358 pages, 20MB, PDF

Inverse Problems and Applications: Inside Out II
by Gunther Uhlmann (ed.), 2013, 580 pp, multiple PDF files

Invitation to Dynamical Systems
by Edward R. Scheinerman, 1995, 384 pages, 3.3MB, PDF, book and solution guide

Isometrica: A Geometrical Introduction to Planar Crystallographic Groups
by George Baloglou, 2007, 473 pages, 7.3MB, PDF

Iterative Methods for Optimization
by C.T. Kelley, 1987, 188 pp, 1.4MB, PDF

Iterative Methods in Combinatorial Optimization
by Lap Chi Lau, R. Ravi, M. Singh, 2011, 229 pp, 1MB, PDF

Lecture Notes on Non-Cooperative Game Theory
by Tamer Basar, 2010, 142 pages, 700KB, PDF

Lectures on Classical Mechanics
by John C. Baez, 2005, 76 pages, 500KB, PDF

Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
by Vincent Bouchard, 2007, 63 pages, 530KB, PDF

Lectures On Approximation By Polynomials
by J.G. Burkill, 1959, 75 pp, 310KB, PDF

Lectures on Optimization: Theory and Algorithms
by John Cea, 1978, 237 pp, 1.1MB, PDF

Lectures on Topics In One-Parameter Bifurcation Problems
by P. Rabier, 1985, 238 pp, 1.3MB, PDF

Lie Theory and Special Functions
by Willard Miller, 1968, 338 pages, PDF

Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod, 2000

Linear Programming
by Jim Burke, 2012, multiple PDF files

Linear Systems Theory and Introductory Algebraic Geometry
by Robert Hermann, 1974

Math in Society
by David Lippman, 2011, 214 pp, 3.7MB, PDF

Mathematical Control Theory: Deterministic Finite Dimensional Systems
by Eduardo D. Sontag, 1998, 544 pages, 2.4MB, PDF

Mathematical Linguistics
by Andras Kornai, 2010, 300 pages, 1.6MB, PDF

Mathematical Methods
by Mihir Sen, Joseph M. Powers, 2010, 432 pages, 3.8MB, PDF

Mathematical Methods for Economic Theory: a tutorial
by Martin J. Osborne, 2007

Mathematical Methods in Quantum Mechanics
by Gerald Teschl, 2009, 317 pages, 1.8MB, PDF

Mathematical Methods of Engineering Analysis
by Erhan Cinlar, Robert J. Vanderbei, 2000, 119 pages, 480KB, PDF

Mathematical Population Genetics
by Warren J Ewens, 2006, 85 pages, 410KB, PDF

A Mathematical Theory of Communication
by Claude Shannon, 1948, 55 pages, 0.4MB, PDF

Mathematical Tools for Physics
by James Nearing, 2006, 569 pages, 3.8MB, PDF

Mathematics and Biology: The Interface, Challenges, and Opportunities
edited by Simon A. Levin, 2009

Mathematics and Group Theory in Music
by Athanase Papadopoulos, 2014, 33 pp, 420KB, PDF

Mathematics and Music
by David Wright, 2009, 176 pp, 1.2MB, PDF

Mathematics for Algorithm and Systems Analysis
by Edward A. Bender, S. Gill Williamson, 2005, 256 pages, PDF

Mathematics of Cartography
by Cynthia Lanius, 2003

Mathematics of Human Motion: from Animation towards Simulation
by A.I. Zhmakin, 2011, 91 pages, 740KB, PDF

The Mathematics of Investment
by William L. Hart, 1924

Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications
by Julius O. Smith III, 2007, 322 pages

A Mathematics Primer for Physics Graduate Students
by Andrew E. Blechman, 2007, 78 pages, 440KB, PDF

Matrix Differential Calculus with Applications in Statistics and Econometrics
by Jan R. Magnus, Heinz Neudecker, 2007, 468 pp, 2.2MB, PDF

Matroid Decomposition
by Klaus Truemper, 1998, PS

Monotone Dynamical Systems
by M.W. Hirsch, Hal Smith, 2004, 136 pp, 780KB, PDF

Monte Carlo: Basics
by K. P. N. Murthy, 2001, 76 pages, PS/PDF

More Games of No Chance
edited by Richard J. Nowakowski, 2002, PS/PDF

Music: A Mathematical Offering
by Dave Benson, 2006, 530 pages, 9.7MB, PDF

Music and Mathematics
by Thomas M. Fiore, 2009, 36 pages, 250KB, PDF

Noncommutative Geometry, Quantum Fields and Motives
by Alain Connes, Matilde Marcolli, 2007, 705 pages, 6.4MB, PDF

Nonlinear Programming
by Robert Freund, 2004, PDF

Notes on Optimization
by Pravin Varaiya, 1972, 140 pages, 760KB, PDF

The Octonions
by John C. Baez, 2001, 56 pages, 420KB, PDF

On 2D Inverse Problems
Wikibooks, 2013, online html

Opera Magistris
by Vincent Isoz, 2016, 5273 pp, 270MB, PDF

Optimization Algorithms: Methods and Applications
by Ozgur Baskan (ed.), 2016, 322 pp, multiple PDF files

Optimization Algorithms on Matrix Manifolds
by P.-A. Absil, R. Mahony, R. Sepulchre, 2007, 240 pages, PDF

Optimization and Dynamical Systems
by U. Helmke, J. B. Moore, 1996, 414 pages, 2.8MB, PDF

Optimization Models For Decision Making
by Katta G. Murty, 2010, 482 pp, multiple PDF files

Parallel Spectral Numerical Methods
by Gong Chen, et al., 2013, online html

Partial Differential Equations for Finance
by Robert V. Kohn, 2003, PDF/PS

Partial Differential Equations of Mathematical Physics
by William W. Symes, 2006, 105 pages, 490KB, PDF

Perturbation theory of dynamical systems
by Nils Berglund, 2001, 111 pages, 4.8MB, PDF

Physics, Topology, Logic and Computation: A Rosetta Stone
by John C. Baez, Mike Stay, 2009, 73 pages, 780KB, PDF

A Practical Guide to Robust Optimization
by Bram L. Gorissen, Ihsan Yanikoglu, Dick den Hertog, 2015, 29 pp, 700KB, PDF

A Primer of Quaternions
by Arthur S. Hathaway, 2006, 70 pages, 570KB, PDF

Probability for Finance
by Patrick Roger, 2010, 115 pages, 4.3MB, PDF

Queueing Theory
by Ivo Adan, Jacques Resing, 2002, 180 pages, 810KB, PDF

Quick Introduction to Tensor Analysis
by Ruslan Sharipov, 2004, 47 pages, 450KB, PDF

Random Matrix Models and Their Applications
edited by Pavel Bleher, Alexander Its, 2001, 438 pages, PS/PDF

Robust Optimization
by A. Ben-Tal, L. El Ghaoui, A. Nemirovski, 2009, 564 pp, PDF

A Short Course on Approximation Theory
by N. L. Carothers, 2009, 159 pp, 780KB, PDF

Singularities of Transition Processes in Dynamical Systems
by Alexander N. Gorban, 2004, 55 pp, 760KB, PDF

Special Fuzzy Matrices for Social Scientists
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral, 2007, 2MB, PDF

Statistical Mechanics of Nonequilibrium Liquids
by Denis J. Evans, Gary P. Morriss, 2007, 318 pages, 15MB, PDF

Statistical Method in Economics
by Victor Chernozhukov, 2006, 63 pages, 670KB, PDF

Statistical Tools for Economists
by Daniel McFadden, 2001, PDF

Statistical Treatment of Experimental Data
by Hugh D. Young, 1962, PDF

Statistics for the Social and Behavioral Sciences
by David A. Kenny, 1987, 407 pages, 9.7MB, PDF

Statistics, Probability, and Game Theory: papers in honor of David Blackwell
by David Blackwell, at al. 1996

Stochastic Control for Economic Models
by David A. Kendrick, 2002, 297 pages, 1.9MB, PDF

Stochastic Processes for Finance
by Patrick Roger, 2010, 104 pages, 4.2MB, PDF

Structural Analysis of Discrete Data with Econometric Applications
by Charles F. Manski, Daniel McFadden, 1981, 504 pages, 17MB, ZIP/PDF

Substitutions in Dynamics, Arithmetics, and Combinatorics
by Pierre Arnoux, et al. 2002, PS

Super Fuzzy Matrices and Super Fuzzy Models for Social Scientists
by W. B. V. Kandasamy, F. Smarandache, K. Amal, 2008, 280 pages, 900KB, PDF

Symmetry Measures on Complex Networks
by Angel Garrido (ed.), 2017, 510 pp, 124MB, PDF

Synchronization and Linearity: An Algebra for Discrete Event Systems
by F. Baccelli, G. Cohen, G. J. Olsder, J. Quadrat, 1993, 501 pages, 4.1MB, PDF

Techniques of Applied Mathematics
by Andrew Fowler, 2005, 141 pages, 1.8MB, PDF

Theory and Applications of Ordered Fuzzy Numbers
by Piotr Prokopowicz, et al., 2017, 322 pp, multiple formats

Topics in Combinatorial Optimization
by Michel Goemans, 2004, PDF

Topics in dynamics I: Flows
by Edward Nelson, 1969, 122 pages, 2.7MB, PDF

Topics in the Geometric Theory of Integrable Mechanical Systems
by Robert Hermann, 1984

Topics in the Geometric Theory of Linear Systems
by Robert Hermann, 1984

Traveling Wave Solutions of Parabolic Systems
by A. Volpert, V. Volpert, V. Volpert, 2000, 448 pages, 3MB, PDF

Uncertainty Theory
by Baoding Liu, 2018, 501 pp, 1.9MB, PDF

Universal Optimization and Its Application
by Alexander Bolonkin, 2017, 161 pp, 4.1MB, PDF

Valuations and Hyperbolicity in Dynamics
by Thomas Ward, 2001, 58 pp, 590KB, PDF

Variational Modelling: Energies, gradient flows, and large deviations
by Mark A. Peletier, 2014, 64 pp, 700KB, PDF

Vector Analysis and Quaternions
by Alexander Macfarlane, 1906, 65 pages, 460KB, PDF

Vector Bundles and an Introduction to Gauge Theory
by Steven Bradlow, 1998, PDF/DVI/TeX/PS

Voting, Arbitration & Fair Division: Mathematics of Social Choice
by Marcus Pivato, 2007, 181 pages, 3MB, PDF

Wave Propagation Analysis with Boundary Element Method
by Chiara Guardasoni, 2010, 130 pp, 3.6MB, PDF

Why the Boundary of a Round Drop Becomes a Curve of Order Four
by A. N. Varchenko and P. I. Etingof, 1992, 72 pages, 4.5MB, PDF