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List of Mathematics Books

  1. Jan 31, 2013 #1


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    Abstract Algebra
    Aluffi - Algebra: Chapter 0
    Artin - Algebra
    Dummit, Foote - Abstract Algebra
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    Herstein - Topics in Algebra
    Hungerford - Algebra
    Isaacs - Algebra: A Graduate Course
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    Kaplansky - Fields and Rings
    Knapp - Advanced Algebra
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    Lang - Algebra
    Lang - Undergraduate Algebra
    Pinter - A book of Abstract Algebra

    Algebraic Geometry
    Harris - Algebraic Geometry: A First Course
    Hartshorne - Algebraic Geometry
    Miranda - Algebraic Curves and Riemann Surfaces

    Ahlfors - Complex Analysis
    Apostol - Mathematical Analysis
    Berberian - Measure and Integration
    Brown, Churchill - Complex Variables and Applications
    Carothers - Real Analysis
    Cohn - Measure Theory
    Demidovich - Problems in Mathematical Analysis
    Gamelin - Complex Analysis
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    Knapp - Basic Real Analysis
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    Kreyszig - Introductory Functional Analysis with Applications
    Lang - Complex Analysis
    Lang - Real and Functional Analysis
    Lang - Undergraduate Analysis
    Marsden, Hoffman - Basic Complex Analysis
    Markushevich - Theory of Functions of a Complex Variable
    Mattuck - Introduction to Analysis
    Mitrinovic - Calculus on Residues
    Needham - Visual Complex Analysis
    Pedersen - Analysis Now
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    Reed, Simon - Functional Analysis
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    Riesz, Sz.-Nagy - Functional Analysis
    Rosenlicht - Introduction to Analysis
    Ross - Elementary Analysis: The Theory of Calculus
    Rudin - Principles of Mathematical Analysis
    Rudin - Real and Complex Analysis
    Simmons - Introduction to Topology and Modern Analysis
    Spivak - Calculus on Manifolds
    Stein, Shakarchi - Complex Analysis
    Stein, Shakarchi - Fourier Analysis: an Introduction
    Stein, Shakarchi - Functional Analysis: Introduction to Further Topics in Analysis
    Stein, Shakarchi - Real Analysis
    Volkovyskii, Lunts, Aramanovich - A Collection of Problems on Complex Analysis
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    Zimmer - Essential Results of Functional Analysis

    Applied Mathematics and Mathematical Methods
    Arfken, Weber, Harris - Mathematical Methods for Physicists
    Boas - Mathematical Methods in the Physical Sciences
    Courant, Hilbert - Methods of Mathematical Physics
    Geroch - Mathematical Physics
    Nearing - Mathematical Tools for Physics

    Angenent, Maxim, Robbin - UW Calculus
    Anton - Calculus Series
    Apostol - Calculus
    Comenetz - Calculus: The Elements
    Courant - Differential and Integral Calculus
    Inouye - Introductory Calculus For Infants
    Keisler - Elementary Calculus: An Approach Using Infinitesimals
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    Hubbard, Hubbard - Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach
    Hughes-Hallett et al. - Calculus: Single and Multivariable
    Kline - Calculus: An Intuitive and Physical Approach
    Lang - A First Course in Calculus
    Lang - Calculus of Several Variables
    Larson - Calculus Series
    Salas, Etgen, Hille - Calculus: One and Several Variables
    Schey - Div, Grad, Curl, and All That: An Informal Text on Vector Calculus
    Spivak - Calculus
    Stewart - Calculus Series
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    Thompson - Calculus Made Easy
    Varberg, Purcell, Rigdon - Calculus

    Classical Geometry
    Apostol, Mnatsakanian - New Horizons in Geometry
    Coxeter, Greitzer - Geometry Revisited
    Euclid - Elements
    Hartshorne - Geometry: Euclid and Beyond
    Lang, Murrow - Geometry
    Moise - Elementary Geometry from Advanced Standpoint

    Differential Equations and Dynamical Systems
    Arnold - Ordinary Differential Equations
    Braun - Differential Equations and Their Applications
    Bleecker, Csordas - Partial Differential Equations
    Tenenbaum - Ordinary Differential Equations

    Differential Geometry
    Burke - Applied Differential Geometry
    Do Camera - Introduction to Gaussian Geometry
    Do Carmo - Riemannian Geometry
    Hall - Lie Groups, Lie Algebras and Representation: An Elementary Introduction
    Isham - Modern Differential Geometry for Physicists
    Lang - Fundamentals of Differential Geometry
    Lee - Introduction to Smooth Manifolds
    Lee - Riemannian Manifolds: An Introduction to Curvature
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    Spivak - A Comprehensive Introduction to Differential Geometry

    Discrete Mathematics
    Graham, Knuth, Patashnik - Concrete Mathematics: A Foundation for Computer Science
    Grimaldi - Discrete and Combinatorial Mathematics: An Applied Introduction
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    Foundations: Proofs, Logic and Set Theory
    Halmos - Naive Set Theory
    Houston - How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
    Hrbacek, Jech - Introduction to Set Theory
    Kamke - Theory of Sets
    Smith - A Transition to Advanced Mathematics

    High-School Mathematics
    Lang - Basic Mathematics
    Loney - Plane Trigonometry
    Loney - The Elements of Coordinate Geometry
    Sullivan - Intermediate Algebra
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    Linear Algebra
    Adams, Essex - Calculus: A Complete Course
    Anton - Elementary Linear Algebra
    Axler - Linear Algebra Done Right
    Bretscher - Linear Algebra with Applications
    Friedberg, Insel, Spence - Linear Algebra
    Halmos - Finite-Dimensional Vector Spaces
    Hefferon - Linear Algebra
    Hoffman, Kunze - Linear Algebra
    Lang - Introduction to Linear Algebra
    Lang - Linear Algebra
    Poole - Linear Algebra: A Modern Introduction
    Roman - Advanced Linear Algebra
    Shilov - Linear Algebra
    Strang - Introduction to Linear Algebra

    Number Theory
    Hardy, Wright - An Introduction to the Theory of Numbers
    Ireland, Rosen - A Classical Introduction to Modern Number Theory
    Jones - Elementary Number Theory

    Probability and Statistics
    Bean - Probability: The Science of Uncertainty
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    Feller - An Introduction to Probability Theory and Its Applications
    Hamilton - Time Series Analysis
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    Moore - The Basic Practice of Statistics
    Ross - A First Course in Probability
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    Tijms - Understanding Probability: Chance Rules in Everyday Life
    Trioli - Elementary Statistics
    Tsokos - Probability for Engineering, Mathematics and Sciences
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    Bott, Tu - Differential Forms in Algebraic Topology
    Lee - Introduction to Topological Manifolds
    Mendelson - Introduction to Topology
    Milnor - Topology from the Differentiable Viewpoint
    Munkres - Topology
    Simmons - Introduction to Topology and Modern Analysis
    Steen, Seebach - Counterexamples in Topology
    Willard - General Topology

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    Andreescu, Andrica - Complex Numbers from A to ...Z
    Aigner, Ziegler - Proofs from THE BOOK
    Courant - What is Mathematics? An Elementary Approach to Ideas and Methods
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    Lipschutz, Spiegel, Liu - Schaum's Outline of Mathematical Handbook of Formulas and Tables
    Loyd - Sam Loyd's Cyclopedia of 5000 Puzzles tricks and Conundrums with Answers
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    Last edited by a moderator: May 6, 2017
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  3. Aug 21, 2015 #2


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    I think you guys should add old calculus books, like that of L'Hopital's, Leibniz's collected works, Maclaurin's (Method of fluxions), Newton's (2 treatises of..quadrature..and analysis of infinite..); those are the books which speak of real matter along with the diluted one's of the more modern one's.
  4. Aug 27, 2015 #3


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    How about Sadri Hassani's book, Mathematical Physics? It could go under the applied mathematics / mathematical methods heading. It contains so much, on both the classical and the modern methods, and it's well written.
  5. Aug 28, 2015 #4


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    Hassini's book is one of my favorites. It is not only very well written, but also shows a great love of the author to his subject, giving also historical and biographical details on the mathematicians/physicists, who discovered the math needed to formulate and solve problems in theoretical physics.
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