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Springer have made a bunch of maths books available for free, here are the direct links

Direct links to free Springer books (pdf versions)

Graduate texts in mathematics

duplicates = multiple editions

A Classical Introduction to Modern Number Theory,Kenneth IrelandMichael Rosen

A Classical Introduction to Modern Number Theory,Kenneth IrelandMichael Rosen

A Course in Arithmetic,Jean-Pierre Serre

A Course in Computational Algebraic Number Theory,Henri Cohen

A Course in Differential Geometry,Wilhelm Klingenberg

A Course in Functional Analysis,John B. Conway

A Course in Homological Algebra,P. J. HiltonU. Stammbach

A Course in Homological Algebra,Peter J. HiltonUrs Stammbach

A Course in Mathematical Logic,Yu. I. Manin

A Course in Number Theory and Cryptography,Neal Koblitz

A Course in Number Theory and Cryptography,Neal Koblitz

A Course in Simple-Homotopy Theory,Marshall M. Cohen

A Course in p-adic Analysis,Alain M. Robert

A Course in the Theory of Groups,Derek J. S. Robinson

A Course in the Theory of Groups,Derek J. S. Robinson

A Course on Borel Sets,S. M. Srivastava

A Course on Borel Sets,S. M. Srivastava

A First Course in Noncommutative Rings,T. Y. Lam

A First Course in Noncommutative Rings,T. Y. Lam

A Hilbert Space Problem Book,P. R. Halmos

A Hilbert Space Problem Book,Paul R. Halmos

A Short Course on Spectral Theory,William Arveson

Additive Number Theory,Melvyn B. Nathanson

Advanced Linear Algebra,Steven Roman

Advanced Mathematical Analysis,Richard Beals

Advanced Topics in Computational Number Theory,Henri Cohen

Advanced Topics in the Arithmetic of Elliptic Curves,Joseph H. Silverman

Algebra,Serge Lang

Algebra,Thomas W. Hungerford

Algebra,William A. AdkinsSteven H. Weintraub

Algebraic Functions and Projective Curves,David M. Goldschmidt

Algebraic Geometry,Joe Harris

Algebraic Geometry,Robin Hartshorne

Algebraic Graph Theory,Chris GodsilGordon Royle

Algebraic Groups and Class Fields,Jean-Pierre Serre

Algebraic K-Theory and Its Applications,Jonathan Rosenberg

Algebraic Number Theory,Serge Lang

Algebraic Number Theory,Serge Lang

Algebraic Theories,Ernest G. Manes

Algebraic Topology,William Fulton

An Algebraic Introduction to Mathematical Logic,Donald W. BarnesJohn M. Mack

An Introduction to Algebraic Topology,Joseph J. Rotman

An Introduction to Analysis,Arlen BrownCarl Pearcy

An Introduction to Banach Space Theory,Robert E. Megginson

An Introduction to Convex Polytopes,Arne Brondsted

An Introduction to Knot Theory,W. B. Raymond Lickorish

An Introduction to Riemann-Finsler Geometry,D. BaoS.-S. ChernZ. Shen

An Introduction to the Theory of Groups,Joseph J. Rotman

An Invitation to C*-Algebras,William Arveson

Analysis Now,Gert K. Pedersen

Analysis for Applied Mathematics,Ward Cheney

Analytic Number Theory,Donald J. Newman

Applications of Lie Groups to Differential Equations,Peter J. Olver

Associative Algebras,Richard S. Pierce

Axiomatic Set Theory,Gaisi TakeutiWilson M. Zaring

Banach Algebra Techniques in Operator Theory,Ronald G. Douglas

Banach Algebras and Several Complex Variables,John Wermer

Basic Homological Algebra,M. Scott Osborne

Basic Theory of Algebraic Groups and Lie Algebras,Gerhard P. Hochschild

Brownian Motion and Stochastic Calculus,Ioannis KaratzasSteven E. Shreve

Brownian Motion and Stochastic Calculus,Ioannis KaratzasSteven E. Shreve

Categories for the Working Mathematician,Saunders Mac Lane

Categories for the Working Mathematician,Saunders Mac Lane

Classical Descriptive Set Theory,Alexander S. Kechris

Classical Topics in Complex Function Theory,Reinhold Remmert

Classical Topology and Combinatorial Group Theory,Dr. John Stillwell

Classical Topology and Combinatorial Group Theory,John Stillwell

Cohomology of Groups,Kenneth S. Brown

Combinatorial Convexity and Algebraic Geometry,Gunter Ewald

Combinatorics with Emphasis on the Theory of Graphs,Jack E. GraverMark E. Watkins

Commutative Algebra,David Eisenbud

Commutative Algebra,Oscar ZariskiPierre Samuel

Complex Analysis,Serge Lang

Complex Analysis,Serge Lang

Complex Analysis,Serge Lang

Complex Variables,Carlos A. BerensteinRoger Gay

Computability,Douglas S. Bridges

Convex Polytopes,Volker KaibelVictor KleeGunter M. Ziegler

Cyclotomic Fields I and II,Serge Lang

Cyclotomic Fields II,Serge Lang

Cyclotomic Fields,Dr. Serge Lang

Denumerable Markov Chains,John G. KemenyJ. Laurie SnellAnthony W. Knapp

Differential Analysis on Complex Manifolds,R. O. Wells Jr.

Differential Forms in Algebraic Topology,Raoul BottLoring W. Tu

Differential Geometry: Manifolds, Curves, and Surfaces,Marcel BergerBernard Gostiaux

Differential Topology,Morris W. Hirsch

Differential and Riemannian Manifolds,Serge Lang

Diophantine Geometry,Marc HindryJoseph H. Silverman

Elementary Algebraic Geometry,Dr. Keith Kendig

Elementary Methods in Number Theory,Melvyn B. Nathanson

Elements of Functional Analysis,Francis HirschGilles Lacombe

Elements of Homotopy Theory,George W. Whitehead Professor Emeritus

Elliptic Curves,Dale Husemoller

Elliptic Curves,Dale Husemoller

Elliptic Functions,Serge Lang

Fibre Bundles,Dale Husemoller

Fibre Bundles,Dale Husemoller

Field Theory,Steven Roman

Field and Galois Theory,Patrick Morandi

Finite Reflection Groups,L. C. GroveC. T. Benson

Foundations of Differentiable Manifolds and Lie Groups,Frank W. Warner

Foundations of Hyperbolic Manifolds,John G. Ratcliffe

Foundations of Real and Abstract Analysis,Douglas S. Bridges

Fourier Analysis and Its Applications,S. AxlerF. W. GehringK. A. Ribet

Fourier Analysis on Number Fields,Dinakar RamakrishnanRobert J. Valenza

Fourier Series,R. E. Edwards

Fourier Series,R. E. Edwards

From Holomorphic Functions to Complex Manifolds,Klaus FritzscheHans Grauert

Functions of One Complex Variable I,John B. Conway

Functions of One Complex Variable II,John B. Conway

Functions of One Complex Variable,John B. Conway

Fundamentals of Differential Geometry,Serge Lang

Galois Theory,Jean-Pierre Escofier

General Relativity for Mathematicians,Dr. Rainer K. SachsDr. Hung-Hsi Wu

Geometric Functional Analysis and its Applications,Richard B. Holmes

Geometric Topology in Dimensions 2 and 3,Edwin E. Moise

Graph Theory,Bela Bollobas

Grobner Bases,Thomas BeckerVolker Weispfenning

Groups and Representations,J. L. AlperinRowen B. Bell

Harmonic Analysis on Semigroups,Christian BergJens Peter Reus ChristensenPaul Ressel

Harmonic Function Theory,Sheldon AxlerPaul BourdonWade Ramey

Harmonic Function Theory,Sheldon AxlerPaul BourdonWade Ramey

Holomorphic Functions and Integral Representations in Several Complex Variables,R. Michael Range

Homology Theory,James W. Vick

Integration and Probability,Paul Malliavin

Introduction to Affine Group Schemes,William C. Waterhouse

Introduction to Algebraic and Abelian Functions,Serge Lang

Introduction to Axiomatic Set Theory,Gaisi TakeutiWilson M. Zaring

Introduction to Axiomatic Set Theory,Gaisi TakeutiWilson M. Zaring

Introduction to Coding Theory,J. H. van Lint

Introduction to Coding Theory,J. H. van Lint

Introduction to Coding Theory,J. H. van Lint

Introduction to Cyclotomic Fields,Lawrence C. Washington

Introduction to Cyclotomic Fields,Lawrence C. Washington

Introduction to Elliptic Curves and Modular Forms,Neal Koblitz

Introduction to Elliptic Curves and Modular Forms,Neal Koblitz

Introduction to Knot Theory,Richard H. CrowellRalph H. Fox

Introduction to Lie Algebras and Representation Theory,James E. Humphreys

Introduction to Operator Theory I,Arlen BrownCarl Pearcy

Introduction to Smooth Manifolds,John M. Lee

Introduction to Topological Manifolds,John M. Lee

Lectures in Abstract Algebra I,Nathan Jacobson

Lectures in Abstract Algebra,Nathan Jacobson

Lectures in Abstract Algebra,Nathan Jacobson

Lectures on Discrete Geometry,Jiri Matousek

Lectures on Modules and Rings,T. Y. Lam

Lectures on Polytopes,Gunter M. Ziegler

Lectures on Riemann Surfaces,Otto Forster

Lectures on the Hyperreals,Robert Goldblatt

Lectures on the Theory of Algebraic Numbers,Erich Hecke

Lie Groups,Daniel Bump

Lie Groups, Lie Algebras, and Representations,Brian C. Hall

"Lie Groups, Lie Algebras and Their Representations"

Linear Algebra,Werner Greub

Linear Algebraic Groups,Armand Borel

Linear Algebraic Groups,James E. Humphreys

Linear Geometry,K. W. GruenbergA. J. Weir

Linear Operators in Hilbert Spaces,Joachim Weidmann

Linear Representations of Finite Groups,Jean-Pierre Serre

Linear Topological Spaces,John L. KelleyIsaac NamiokaW. F. Donoghue Jr.Kenneth R. LucasB. J. PettisEbbe Thue PoulsenG. Baley PriceWendy RobertsonW. R. ScottKennan T. Smith

Local Fields,Jean-Pierre Serre

Mathematical Logic,J. Donald Monk

Mathematical Methods of Classical Mechanics,V. I. Arnold

Mathematical Methods of Classical Mechanics,V. I. Arnold

Matrices,Denis Serre

Matrix Analysis,Rajendra Bhatia

Measure Theory,J. L. Doob

Measure Theory,Paul R. Halmos

Measure and Category,John C. Oxtoby

Measure and Category,John C. Oxtoby

Measure and Integral,John L. KelleyT. P. Srinivasan

Metric Structures in Differential Geometry,Gerard Walschap

Model Theory,David Marker

Modern Geometry ? Methods and Applications,B. A. DubrovinA. T. FomenkoS. P. Novikov

Modern Geometry? Methods and Applications,B. A. DubrovinS. P. NovikovA. T. Fomenko

Modern Graph Theory,Bela Bollobas

Modular Functions and Dirichlet Series in Number Theory,Tom M. Apostol

Modular Functions and Dirichlet Series in Number Theory,Tom M. Apostol

Moduli of Curves,Joe HarrisIan Morrison

Multiplicative Number Theory,Harold Davenport

Noncommutative Algebra,Benson FarbR. Keith Dennis

Nonsmooth Analysis and Control Theory,F. H. ClarkeYu. S. LedyaevR. J. SternR. R. Wolenski

Number Theory in Function Fields,Michael Rosen

Numbers,Heinz-Dieter EbbinghausHans HermesFriedrich HirzebruchMax KoecherKlaus MainzerJurgen NeukirchAlexander PrestelReinhold Remmert

Numerical Analysis,Rainer Kress

One-Parameter Semigroups for Linear Evolution Equations,Klaus-Jochen EngelRainer Nagel

Optima and Equilibria,Jean-Pierre Aubin

Ordinary Differential Equations,Wolfgang Walter

"p-adic Numbers, p-adic Analysis and Zeta-Functions"

Partial Differential Equations,Jeffrey Rauch

Partial Differential Equations,Jurgen Jost

Permutation Groups,John D. DixonBrian Mortimer

Polynomials and Polynomial Inequalities,Peter BorweinTamas Erdelyi

Principles of Random Walk,Frank Spitzer

Probability Theory I,M. Loeve

Probability Theory I,M. Loeve

Probability,A. N. Shiryaev

Probability,A. N. Shiryayev

Problems in Analytic Number Theory,M. Ram Murty

Quantum Groups,Christian Kassel

Random Processes,M. Rosenblatt

Rational Homotopy Theory,Yves FelixStephen HalperinJean-Claude Thomas

Real and Functional Analysis,Serge Lang

Representation Theory,William FultonJoe Harris

Representations of Compact Lie Groups,Theodor BrockerTammo tom Dieck

Riemann Surfaces,Hershel M. FarkasIrwin Kra

Riemann Surfaces,Hershel M. FarkasIrwin Kra

Riemannian Geometry,Peter Petersen

Riemannian Manifolds,John M. Lee

Rings and Categories of Modules,Frank W. AndersonKent R. Fuller

Rings and Categories of Modules,Frank W. AndersonKent R. Fuller

Sequences and Series in Banach Spaces,Joseph Diestel

Several Complex Variables and Banach Algebras,Herbert AlexanderJohn Wermer

Several Complex Variables,H. GrauertK. Fritzsche

Sheaf Theory,Glen E. Bredon

Singular Homology Theory,William S. Massey

"SL2(R)",Serge Lang

Smooth Manifolds and Observables,Jet Nestruev

Stable Mappings and Their Singularities,Martin GolubitskyVictor Guillemin

Tensor Geometry,Christopher Terence John DodsonTimothy Poston

The Arithmetic of Elliptic Curves,Joseph H. Silverman

The Arithmetic of Hyperbolic 3-Manifolds,Colin MaclachlanAlan W. Reid

The Geometry of Discrete Groups,Alan F. Beardon

The Geometry of Schemes,David EisenbudJoe Harris

The Symmetric Group,Bruce E. Sagan

Theory of Bergman Spaces,Haakan HedenmalmBoris KorenblumKehe Zhu

Theory of Complex Functions,Reinhold Remmert

Topological Vector Spaces,H. H. SchaeferM. P. Wolff

Topological Vector Spaces,Helmut H. Schaefer

Topology and Geometry,Glen E. Bredon

Univalent Functions and Teichmuller Spaces,Olli Lehto

Using Algebraic Geometry,David CoxJohn LittleDonal O?Shea

Weakly Differentiable Functions,William P. Ziemer

Undergraduate texts in mathematics

duplicates = multiple editions

A Brief on Tensor Analysis,James G. Simmonds

A Brief on Tensor Analysis,James G. Simmonds

A Concrete Introduction to Higher Algebra,Lindsay Childs

A Concrete Introduction to Higher Algebra,Lindsay N. Childs

A Course in Modern Geometries,Judith N. Cederberg

A Course in Modern Geometries,Judith N. Cederberg

A First Course in Analysis,George Pedrick

A First Course in Calculus,Serge Lang

A First Course in Real Analysis,Sterling K. Berberian

A First Course in Real Analysis,Murray H. ProtterCharles B. Morrey Jr.

A First Course in Real Analysis,M. H. ProtterC. B. Morrey Jr.

A First Course in the Mathematical Foundations of Thermodynamics,David R. Owen

Algebra,L. E. Sigler

Algebra,L. E. Sigler

An Accompaniment to Higher Mathematics,George R. Exner

An Introduction to Difference Equations,Saber N. Elaydi

An Introduction to Difference Equations,Saber N. Elaydi

An Introduction to Probabilistic Modeling,Pierre Bremaud

An Introduction to Wavelets Through Linear Algebra,Michael W. Frazier

An Introduction to Wavelets Through Linear Algebra,Michael W. Frazier

Applied Abstract Algebra,Rudolf LidlGunter Pilz

Applied Abstract Algebra,Rudolf LidlGunter Pilz

Applied Partial Differential Equations,J. David Logan

Applied Partial Differential Equations,J. David Logan

Aspects of Calculus,Gabriel Klambauer

Basic Concepts of Algebraic Topology,Fred H. Croom

Basic Elements of Real Analysis,Murray H. Protter

Basic Topology,M. A. Armstrong

Beginning Functional Analysis,Karen Saxe

Calculus I,Jerrold MarsdenAlan Weinstein

Calculus II,Jerrold MarsdenAlan Weinstein

Calculus III,Jerrold MarsdenAlan Weinstein

Calculus of Several Variables,Serge Lang

Calculus: A Liberal Art,William McGowen Priestley

Calculus: An Historical Approach,William McGowen Priestley

Combinatorial Optimization for Undergraduates,L. R. Foulds

Combinatorics and Graph Theory,John M. HarrisJeffry L. HirstMichael J. Mossinghoff

Complex Analysis,Theodore W. Gamelin

Conics and Cubics,Robert Bix

Constructive Combinatorics,Dennis StantonDennis White

Counting: The Art of Enumerative Combinatorics,George E. Martin

Differential Equations,Clay C. Ross

Discrete Mathematics,L. LovaszJ. PelikanK. Vesztergombi

Discrete Probability,Hugh Gordon

Dynamic Topology,Gordon WhyburnEdwin Duda

Elementary Analysis: The Theory of Calculus,Kenneth A. Ross

Elementary Probability Theory,Kai Lai ChungFarid AitSahlia

Elementary Probability Theory with Stochastic Processes,Kai Lai Chung

Elementary Probability Theory with Stochastic Processes,Kai Lai Chung

Elementary Probability Theory with Stochastic Processes,Kai Lai Chung

Elementary Stability and Bifurcation Theory,Gerard IoossDaniel D. Joseph

Elementary Stability and Bifurcation Theory,Gerard IoossDaniel D. Joseph

Elementary Topics in Differential Geometry,J. A. Thorpe

Elements of Algebra,John Stillwell

Elements of Number Theory,John Stillwell

Factorization and Primality Testing,David M. Bressoud

Finite-Dimensional Vector Spaces,Paul R. Halmos

From Fermat to Minkowski,Winfried ScharlauHans Opolka

Functions of Several Variables,Wendell Fleming

General Topology,Jacques Dixmier

Geometric Constructions,George E. Martin

Geometry,Richard S. MillmanGeorge D. Parker

Geometry: Euclid and Beyond,Robin Hartshorne

Geometry: Plane and Fancy,David A. Singer

Glimpses of Algebra and Geometry,Gabor Toth

Groups and Symmetry,M. A. Armstrong

"Ideals, Varieties, and Algorithms",David CoxJohn LittleDonal O?Shea

"Ideals, Varieties, and Algorithms",David CoxJohn LittleDonal O?Shea

"Ideals, Varieties, and Algorithms",David CoxJohn LittleDonal O?Shea

Inside Calculus,George R. Exner

"Integers, Polynomials, and Rings",Ronald S. Irving

Intermediate Calculus,Murray H. ProtterCharles B. Morrey Jr.

Intermediate Real Analysis,Emanuel Fischer

Introduction to Analytic Number Theory,Tom M. Apostol

Introduction to Analytic Number Theory,Tom M. Apostol

Introduction to College Mathematics with A Programming Language,Edward J. LeCuyer Jr.

Introduction to Cryptography,Johannes A. Buchmann

Introduction to Cryptography,Johannes A. Buchmann

Introduction to Linear Algebra,Serge Lang

Introduction to Mathematical Logic,Jerome Malitz

Introduction to Optimal Control Theory,Jack MackiAaron Strauss

Introduction to the Mathematics of Finance,Steven Roman

Join Geometries,Walter PrenowitzJames Jantosciak

Lecture Notes on Elementary Topology and Geometry,I. M. SingerJ. A. Thorpe

Lectures on Boolean Algebras,Paul R. Halmos

Limits,Alan F. Beardon

Linear Algebra,Charles W. Curtis

Linear Algebra,Larry Smith

Linear Algebra,Larry Smith

Linear Algebra,Serge Lang

Linear Algebra,Robert J. Valenza

Linear Algebra,Klaus Janich

Linear Algebra,Larry Smith

Linear Algebra Through Geometry,Thomas BanchoffJohn Wermer

Linear Algebra Through Geometry,Thomas BanchoffJohn Wermer

Linear Programming and Its Applications,James K. Strayer

Mathematical Analysis,Andrew Browder

Mathematical Expeditions,Reinhard LaubenbacherDavid Pengelley

Mathematical Introduction to Linear Programming and Game Theory,Louis Brickman

Mathematical Logic,H.-D. EbbinghausJ. FlumW. Thomas

Mathematical Reflections,Peter HiltonDerek HoltonJean Pedersen

Mathematical Vistas,Peter HiltonDerek HoltonJean Pedersen

Mathematics and Its History,John Stillwell

Mathematics and Its History,John Stillwell

Mathematics: A Concise History and Philosophy,W. S. Anglin

"Measure, Topology, and Fractal Geometry",Gerald A. Edgar

Methods of Mathematical Economics,Joel Franklin

Much Ado About Calculus,Robert L. Wilson

Naive Set Theory,Paul R. Halmos

Notes on Set Theory,Yiannis N. Moschovakis

Numbers and Geometry,John Stillwell

Numerical Mathematics,Gunther HammerlinKarl-Heinz Hoffman

Optimization Techniques,L. R. Foulds

Practical Analysis in One Variable,Donald Estep

Primer of Modern Analysis,Kennan T. Smith

Rational Points on Elliptic Curves,Joseph H. SilvermanJohn Tate

"Reading, Writing, and Proving",Ulrich DaeppPamela Gorkin

Real Mathematical Analysis,Charles Chapman Pugh

"Rings, Fields, and Vector Spaces",B. A. Sethuraman

Second Year Calculus,David M. Bressoud

Short Calculus,Serge Lang

The Foundations of Geometry and the Non-Euclidean Plane,George E. Martin

The Fundamental Theorem of Algebra,Benjamin FineGerhard Rosenberger

The Geometry of Spacetime,James J. Callahan

The Heritage of Thales,W. S. AnglinJ. Lambek

The Joy of Sets,Keith Devlin

The Laplace Transform,Joel L. Schiff

The Lebesgue-Stieltjes Integral,M. CarterB. van Brunt

The Pleasures of Probability,Richard Isaac

Topics in the Theory of Numbers,Paul ErdosJanos Suranyi

Topological and Uniform Spaces,I. M. James

Topological Spaces,Gerard BuskesArnoud van Rooij

Topology of Surfaces,L. Christine Kinsey

Transformation Geometry,George E. Martin

Undergraduate Algebra,Serge Lang

Undergraduate Algebra,Serge Lang

Undergraduate Analysis,Serge Lang

Undergraduate Analysis,Serge Lang

Understanding Analysis,Stephen Abbott

Variational Calculus and Optimal Control,John L. Troutman

Variational Calculus with Elementary Convexity,John L. Troutman

Vector Analysis,Klaus Janich

Why Math?,R. D. Driver

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