Textbooks in Mathematics
at 110mb
A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.
All the documents are in English. They are in a printable format - Postscript
or Adobe Portable Document Format . You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks.
For any comments, please, contact me:
alex_stef@yahoo.com
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Remark: indicates a book for which there is also a printed version
indicates documents which appear for first time in the current edition of this page.
New documents
General Mathematics
Number Theory
Introductory Number Theory
p-adic numbers
Arithmetic Geometry
Fermat's Last Theorem
Algebraic Number Theory
Analytic Number Theory
Algebra, Algebraic Geometry
Algebra, Abstract
Workbook in Higher Algebra by David SurowskiDifferential Algebra by Joseph Fels RittStructure and Representations of Jordan Algebras by Nathan JacobsonA Course in Universal Algebra by Stanley N. Burris, and H.P. SankappanavarAn Invitation to General Algebra and Universal Constructions by George M. BergmanVarieties of Lattices by Peter Jipsen, and Henry RoseLectures on Matrices by Joseph Henry Maclagen WedderburnElementary Abstract Algebra by Edwin ClarkIntro to Abstract Algebra by Paul GarrettElements of Abstract and Linear Algebra by Edwin H. ConnellAbstract Algebra:The Basic Graduate Year by Robert AshA Course In Commutative Algebra by Robert AshNotes for geometric group theory course by John R. StallingsAdvanced Linear Algebra lecture notes (with real algorithm for the real Jordan form) by Keith MatthewsCommutative algebra by Ivan FesenkoAbstract Algebra - Number Theory, Group Theory, Galois Theory by Daviidd WilkinsAbstract group theory by Chuck MillerThe Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald SolomonGroup Characters, Symmetric Functions, and the Hecke Algebra by David M. GoldschmidtFinite Groups and their Representations by Andrew BakerClassical Groups by Peter CameronGalois theory by Miles ReidToeplitz and Circulant Matrices by Robert M. GrayHomogeneous spaces and equivariant embeddings by Dmitri A. TimashevAlgebra: Abstract and Concrete by Frederick M. GoodmanCommutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory by Sudhir R. GhorpadeFundamental Problems in Algorithmic Algebra by Chee YapBraid groups and Galois theory by Frazer JarvisA. N. Whitehead's Geometric Algebra by Stephen BlakeCommutator Theory for Congruence Modular Varieties by Ralph Freese, and Ralph McKenzieConstructive Aspects of the Inverse Galois Problem by A. Ledet, and N. Yui, and C. JensenPublications and prepublications about braids
Algebraic Geometry
Elliptic Curves
Category Theory
Lie Algebras
Topology
Algebraic Topology
K-Theory
Knots
Analysis
Real Analysis by Andrew M. Bruckner, Brian S. Thomson, and Judith B. Bruckner
Functional Analysis
Differential Equations
Geometry
Differential Geometry
Introduction to Tensor Calculus and Continuum Mechanics by John H. HeinbockelTopics in Differential Geometry by Peter W. MichorNatural operations in differential geometry by Peter W. Michor, Ivan Kolar, and Jan SlovakIntrinsic Geometry of Surfaces by A. D. Aleksandrov, and V. A. ZalgallerAn Introduction to Riemannian Geometry by Sigmundur Gudmundsson, and Lund UniversityRiemann Surfaces, Dynamics and Geometry by Curtis McMullenInvariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. GilkeyDifferentiable Manifolds by Mariusz WodzickiDifferential Geometry by Sergei YakovenkoSymplectic Geometry with and Eye Toward Combinatorics by Sue TolmanDifferential Geometry and Physics by Gabriel LugoDifferential geometry reconstructed by Alan U. KenningtonCourse of Differential Geometry by Ruslan SharipovThe Geometrization of Physics by Richard S. PalaisProjective Geometry, Geometry of Surfaces, Differentiable Manifolds by Nigel HitchinVector Bundles and an Introduction to Gauge Theory by Steven Bradlow, Hung-Jen Hsu, and Chris WillettTwistor Geometry and Gauge Theory by Martin WolfComplex Geometry of Nature and General Relativity by Giampiero EspositoGeometric Asymptotics by Victor Guillemin, and Shlomo SternbergProjective Geometry by Balázs CsikósDifferential Geometry by Balázs CsikósProjective and Polar Spaceas by Peter CameronTransformation groups for begginers by S. V. Duzhin, and B. D. Tcherbotarevsky
Mathematical Physics
Dynamics
Entropy
Quantum Mechanics
Quantum Field Theory
Comprehensive textbook on quantum (and classical) field theory by Warren SiegelQuantum Field Theory by Ben SimonsMathematical ideas and notions of quantum field theory by Pavel EtingofIntroduction to Algebraic and Constructive Quantum Field Theory by Irving E. Segal, Zhengfang Zhou, and John C. BaezQuantum Field Theory program at IAS by Irving E. Segal, Zhengfang Zhou, and John C. BaezGraduate textbooks: Field Theory, Relativity, Superspace, Strings by Warren SiegelWhat is String Theory by Joseph PolchinskiFluctuating Geometries in Statistical Mechanics and Field Theory Operator Algebras and Quantum Statistical Mechanics, Vol I by Ola BratteliOperator Algebras and Quantum Statistical Mechanics, Vol II by Ola BratteliD-Brane Primer by Clifford V. JohnsonIntroduction to Superstring Theory by Elias KiritsisAlgebraic Quantum Field Theory by Hans Halvorson, and Michael Mueger
Condensed Matter
Photonic Crystals: Molding the Flow of Light by John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, and Robert D. Meade
Special and General Relativity
Physics
Essential Physics 1 by Frank FirkIntroduction to Groups, Invariants & Particles by Frank W.K. FirkClassical Electrodynamics by Bo ThidéClassical electrodynamics and theory of relativity by Ruslan SharipovElectromagnetic Theory and Computation: A Topological Approach by Paul W. Gross, and P. Robert KotiugaMOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph SchillerFundamentals of Thermodynamics by J. Karl JohnsonNon-Equilibrium Statistical Mechanics by Klaus SchultenCourse in Electrodynamics by Franz WegnerLight and Matter by Ben CrowellOrder-of-magnitude-physics by Sanjoy MahajanPhysical Applications of Geometric Algebra by Anthony Lasenby, and Chris DoranGroup Theory: Lie's, Tracks, And Exceptional Groups by Predrag Cvitanovic'An Elementary Introduction to Groups and Representations by Brian C. HallGeometric Models for Noncommutative Algebras by A. Cannas da Silva, and A. WeinsteinDifferential Forms in Electromagnetic Theory by Richard H. Selfridge, David V. Arnold, and Karl F. WarnickLectures on integration of several variables by Michael AdlerMethods of Mathematical Physics by Mark TroddenFurther Mathematical Methods by Niels WaletComputational Physics by Angus MacKinnonZeno meets modern science by Zurab K. SilagadzeFeynman's derivation of Maxwell equations and extra dimensions by Zurab K. SilagadzeTeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. SilagadzeQuick introduction to tensor analysis by Ruslan SharipovTraveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert
Probability Theory
Applied Mathematics
Numerical Analysis
Numerical Analysis by Lucio TaverniniFinite Element Method/Boundry Element Method by Peter HunterTemplates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Richard Barrett, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk van der VorstNumerical Analysis at the University of Cambridge Numerical Mathematics and Scientific Computation by Germund Dahlquist, and Ĺke BjörckThe Boundary Element Method in Acoustics by Stephen KirkupComputational geometry, mesh generation, numerical methods by Jonathan ShewchukNumerical Analysis by Steven Elliot PavConvex Optimization by Stephen Boyd, and Lieven VandenbergheOptimization by Pravin Varaiya
Information Theory
Financial mathematics
Game Theory
Cryptography
Miscellanea
Fractals
Graph Theory
Coxeter groups
Nielsen Fixed Point Theory
Permutation Puzzles
How to prepare documents? TEX,LATEX etc.
Last edited: June 12 2009 22:00:00.