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Mike Tate Mathematics

EBOOKS

Public Domain Ebooks Collection


📘 Mathematics — History & General Interest

📖 A History of Mathematics

Author: Florian Cajori

A classic survey of mathematical development across cultures and centuries.

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📖 On the Study and Difficulties of Mathematics

Author: Augustus De Morgan

Insightful essays on the teaching, learning, and philosophy of mathematics.

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📖 The Evanston Colloquium

Author: Felix Klein (1893)

Lectures bridging geometry, analysis, and pedagogy from a renowned mathematician.

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📖 Science and Hypothesis

Author: Henri Poincaré

Philosophical essays on science, logic, and the foundations of mathematics.

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📖 A Scrap-Book of Elementary Mathematics

Author: William Frank White

A delightful miscellany of puzzles, curiosities, and insights into elementary math.

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🔢 Algebra & Combinatorics

📖 Theory of Groups of Finite Order

Author: William Burnside

A foundational work in abstract algebra and group theory.

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📖 First Course in the Theory of Equations

Author: Leonard Eugene Dickson

Covers algebraic equations with clarity by one of America’s great algebraists.

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📖 Oeuvres mathématiques d’Évariste Galois

Author: Évariste Galois

Collected works of Galois, foundational for group theory and modern algebra.

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📖 Lectures on Elementary Mathematics

Author: Joseph Louis Lagrange

Gentle introduction to math topics by a towering historical figure.

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📖 Topics on Tournaments

Author: John W. Moon

Introductory combinatorics text focusing on directed graphs and tournaments.

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📖 The First Steps in Algebra

Author: George Albert Wentworth

Classic schoolbook introducing algebra fundamentals clearly.

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🧮 Calculus, Analysis & Geometry

📖 General Investigations of Curved Surfaces

Author: Carl Friedrich Gauss

Foundational work in differential geometry from the Prince of Mathematics.

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📖 Four Lectures on Mathematics

Author: Jacques Hadamard

Clear, philosophical reflections on mathematical invention and rigor.

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📖 Orders of Infinity

Author: G.H. Hardy

A treatise on Du Bois-Reymond’s infinitary calculus and asymptotic analysis.

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📖 A Course of Pure Mathematics

Author: G.H. Hardy

A rigorous introduction to real analysis, calculus, and mathematical thinking.

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📖 Riemann’s Theory of Algebraic Functions

Author: Felix Klein

Explores complex analysis and Riemann surfaces in Klein’s elegant style.

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📖 Elementary Illustrations of the Calculus

Author: Augustus De Morgan

Introductory explanations of differential and integral calculus with diagrams.

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📖 Calculus Made Easy

Author: Sylvanus P. Thompson

The most famous and friendly introduction to calculus — still readable today.

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🧠 Logic, Philosophy & Probability

📖 The Mathematical Analysis of Logic

Author: George Boole

The foundation of symbolic logic and Boolean algebra — a mathematical revolution.

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📖 A Treatise on Probability

Author: J.M. Keynes

A philosophical treatment of uncertainty and probability before Bayesian formalism.

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📖 Introduction to Mathematical Philosophy

Author: Bertrand Russell

An accessible guide to logic, set theory, and the structure of mathematics.

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📖 The Logic of Chance

Author: John Venn

One of the earliest formalizations of probabilistic reasoning and statistical logic.

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📖 An Introduction to Mathematics

Author: Alfred North Whitehead

A lucid overview of the scope and meaning of mathematics by a co-author of *Principia Mathematica*.

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⚛️ Foundational Works in Physics

📖 Space, Time and Gravitation

Author: Arthur S. Eddington

Elegant exposition of general relativity for a wide audience, by one of its earliest champions.

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📖 Relativity: The Special and General Theory

Author: Albert Einstein

Einstein’s own introduction to his theory of relativity, written for non-specialists.

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📖 The Meaning of Relativity

Author: Albert Einstein

Einstein’s Princeton lectures explaining the mathematical structure of relativity.

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📖 The Theory of Heat Radiation

Author: Max Planck

A key text in the birth of quantum theory by the originator of Planck’s constant.

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📖 Space—Time—Matter

Author: Hermann Weyl

A masterpiece blending geometry, physics, and philosophy from a mathematical visionary.

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📖 The Mathematical Theory of Relativity

Author: Arthur S. Eddington

Technical and geometrical formulation of relativity — one of the earliest comprehensive treatments.

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