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Mathematics

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66 books in this category

Gödel, Escher, Bach

Gödel, Escher, Bach

Douglas R. Hofstadter

A deep exploration of the connections between mathematics, art, and music, with reflections on consciousness and self-reference.

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The Man Who Knew Infinity

The Man Who Knew Infinity

Robert Kanigel

The biography of mathematician Srinivasa Ramanujan, exploring his genius and unique contributions to mathematics.

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How Not to Be Wrong

How Not to Be Wrong

Jordan Ellenberg

Explores the role of mathematics in everyday life, showing how mathematical thinking can prevent common mistakes.

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Elements of Information Theory

Elements of Information Theory

Thomas M. Cover

A foundational text in information theory, covering concepts like entropy, data compression, and error correction.

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The Principia

The Principia

Isaac Newton

A foundational work in physics and mathematics, introducing the laws of motion and universal gravitation.

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The Nature of Mathematical Modeling

The Nature of Mathematical Modeling

Neil Gershenfeld

Explores mathematical modeling techniques across fields, focusing on applications in physics, biology, and engineering.

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The Princeton Companion to Mathematics

The Princeton Companion to Mathematics

Timothy Gowers

A comprehensive reference on mathematics, covering concepts, history, and notable figures.

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A New Kind of Science

A New Kind of Science

Stephen Wolfram

Explores the concept of computational systems, proposing new ways to understand science and complex systems.

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Infinite Powers

Infinite Powers

Steven Strogatz

A history of calculus and its impact on understanding the natural world, making the subject accessible to a general audience.

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Elements of the Theory of Computation

Elements of the Theory of Computation

Harry Lewis

A textbook on computational theory, focusing on algorithms, complexity, and formal languages.

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The Geometric Universe

The Geometric Universe

S. A. Huggett

Explores the role of geometry in understanding the physical universe, covering key mathematical concepts and their applications.

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Visual Complex Analysis

Visual Complex Analysis

Tristan Needham

A mathematical guide to complex analysis, emphasizing visual intuition and geometric interpretation.

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Frank Ramsey

Frank Ramsey

Cheryl Misak

Chronicles the life of Frank Ramsey, a philosopher and mathematician whose work influenced economics and logic.

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I Think, Therefore I Laugh

I Think, Therefore I Laugh

John Allen Paulos

A humorous exploration of mathematical concepts, using jokes and anecdotes to illustrate mathematical thinking.

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Shelter Island II

Shelter Island II

Roman Jackiw

A book discussing developments in quantum field theory, aimed at physicists and science enthusiasts.

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Structure and Interpretation of Classical Mechanics

Structure and Interpretation of Classical Mechanics

Gerald Jay Sussman

Covers advanced concepts in classical mechanics using a computational approach.

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Calculus Made Easy

Calculus Made Easy

Silvanus P. Thompson

A simplified introduction to calculus, aimed at making complex concepts accessible to beginners.

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Birth of a Theorem

Birth of a Theorem

Cédric Villani

A memoir by mathematician Villani about his journey to prove a groundbreaking theorem, blending math with personal insight.

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Fermat's Enigma

Fermat's Enigma

Simon Singh

The story of the quest to solve Fermat’s Last Theorem, blending mathematics with human perseverance.

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The Elements of Statistical Learning

The Elements of Statistical Learning

Trevor Hastie

A comprehensive guide to statistical learning methods, used in data science and predictive modeling.

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Differential Forms in Algebraic Topology

Differential Forms in Algebraic Topology

Raoul Bott

A technical exploration of differential forms and their applications in algebraic topology.

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Topics in Advanced Scientific Computation

Topics in Advanced Scientific Computation

Richard E. Crandall

Discusses advanced topics in computational science, including algorithms and numerical methods.

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Topology and Analysis

Topology and Analysis

B. Booss

Covers topics in topology and analysis, blending theory with practical applications in mathematics.

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Incompleteness

Incompleteness

Rebecca Goldstein

A biography of Kurt Gödel, examining his groundbreaking work on incompleteness in mathematical logic.

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Naked Statistics

Naked Statistics

Charles Wheelan

A guide to understanding statistics, explaining concepts in an engaging, accessible way.

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Analysis, Manifolds and Physics, Part 1

Analysis, Manifolds and Physics, Part 1

Yvonne Choquet-Bruhat

A mathematical text covering differential geometry and its applications in physics.

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Number

Number

Tobias Dantzig

A historical exploration of the concept of numbers and mathematics, from ancient times to modern theories.

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Love and Math

Love and Math

Edward Frenkel

A memoir by a mathematician, blending his personal journey with explanations of mathematical concepts.

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A Programming Language

A Programming Language

Kenneth E. Iverson

A foundational work introducing APL, a powerful and expressive programming language.

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The Compleat Strategyst

The Compleat Strategyst

J. D. Williams

A guide to game theory and strategic decision-making, written for a general audience.

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One Two Three . . . Infinity

One Two Three . . . Infinity

George Gamow

An accessible introduction to scientific concepts, including mathematics, physics, and cosmology.

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Flatland

Flatland

Edwin A. Abbott

A classic novella exploring dimensions and societal structures through the story of a two-dimensional world.

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Mathematics

Mathematics

A. D. Aleksandrov

An introductory book on fundamental mathematics concepts, covering geometry, algebra, and number theory.

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Supermanifolds

Supermanifolds

Bryce DeWitt

Advanced mathematical text exploring supermanifolds and their applications in theoretical physics.

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Statistical Models

Statistical Models

David Freedman

A comprehensive guide on statistical models, covering foundational and advanced topics in statistics.

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The Rise of Statistical Thinking, 1820-1900

The Rise of Statistical Thinking, 1820-1900

Theodore M. Porter

Chronicles the history and development of statistical thinking in the 19th century.

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The Princeton Companion to Applied Mathematics

The Princeton Companion to Applied Mathematics

Nicholas J. Higham

A comprehensive guide covering key concepts and applications in applied mathematics.

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Symmetry

Symmetry

Hermann Weyl

Explores the concept of symmetry in mathematics, art, and nature.

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Leonhard Euler

Leonhard Euler

Ronald S. Calinger

A biography of mathematician Leonhard Euler, covering his contributions to various fields of science.

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Lie Algebras In Particle Physics

Lie Algebras In Particle Physics

Howard Georgi

A technical text on the application of Lie algebras in theoretical particle physics.

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Q.E.D.

Q.E.D.

Burkard Polster

An exploration of key mathematical theorems and their proofs.

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Calculus On Manifolds

Calculus On Manifolds

Michael Spivak

A foundational text on advanced calculus and analysis on manifolds.

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Probability Theory

Probability Theory

S. R. S. Varadhan

An advanced text on probability theory and mathematical principles.

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Differential Topology

Differential Topology

Victor Guillemin

A text on differential topology, exploring the properties of smooth manifolds.

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Introduction to Linear Algebra

Introduction to Linear Algebra

Gilbert Strang

A foundational textbook on linear algebra concepts and applications.

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No bullshit guide to math and physics

No bullshit guide to math and physics

Ivan Savov

A practical and clear introduction to essential math and physics concepts.

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A Course in Mathematical Analysis

A Course in Mathematical Analysis

Douard Goursat

A comprehensive text on advanced mathematical analysis.

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Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy

Bertrand Russell

Explores the philosophy underlying mathematics, aimed at understanding the relationship between logic and math.

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The Science of Conjecture

The Science of Conjecture

James Franklin

Analyzes the development of probability theory and its influence on law, science, and philosophy.

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Models.Behaving.Badly.

Models.Behaving.Badly.

Emanuel Derman

Explores the limitations of financial models and the dangers of over-reliance on mathematical models in finance.

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General Relativity for Mathematicians

General Relativity for Mathematicians

R.K. Sachs

A detailed mathematical approach to understanding Einstein’s theory of relativity.

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The Mathematics of Politics

The Mathematics of Politics

E. Arthur Robinson

Introduces mathematical approaches to political science, including voting and power theories.

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The Misbehavior of Markets

The Misbehavior of Markets

Benoit Mandelbrot

Explores financial markets through the lens of fractal geometry.

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Euclid's Elements

Euclid's Elements

Euclid

Classic mathematical text on geometry and number theory.

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A Mathematician's Lament

A Mathematician's Lament

Paul Lockhart

Critique of traditional mathematics education, advocating for creativity in math.

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Modelling Extremal Events

Modelling Extremal Events

Paul Embrechts

Focuses on modeling extreme events in finance and insurance.

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Innumeracy

Innumeracy

John Allen Paulos

Analysis of the impact of mathematical illiteracy in society.

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Math, Better Explained

Math, Better Explained

Kalid Azad

Intuitive explanations of mathematical concepts for deeper understanding.

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Mathematician's Delight

Mathematician's Delight

W. Sawyer

Introductory book on the joys and applications of mathematics.

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Basic Algebra I

Basic Algebra I

Nathan Jacobson

Comprehensive textbook on algebra, providing foundational knowledge for mathematics students.

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Visual Complex Functions

Visual Complex Functions

Elias Wegert

Mathematical guide on visualizing complex functions, useful for students and researchers.

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A Mathematician's Apology

A Mathematician's Apology

G. H. Hardy

Reflection on the beauty and purpose of pure mathematics from a famed mathematician.

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The Annotated Flatland

The Annotated Flatland

Ian Stewart

Annotated edition of "Flatland," explaining its mathematical and social themes.

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Probability, Random Variables and Stochastic Processes

Probability, Random Variables and Stochastic Processes

Athanasios Papoulis

Advanced textbook on probability theory and stochastic processes.

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One Thousand Exercises in Probability

One Thousand Exercises in Probability

Geoffrey Grimmett

Advanced exercises and problems in probability theory.

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On The Edge

On The Edge

Nate Silver

Analysis of risk and uncertainty in prediction.

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