Calculus

Calculus (from Latin calculus, literally "small pebble used for counting on an abacus") is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of co ...more

Calculus Books

Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

Infinite Powers: How Calculus Reveals the Secrets of the Universe

Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability

Calculus: An Intuitive and Physical Approach

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

A First Course in Calculus (Undergraduate Texts in Mathematics)

The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics)

Essential Calculus Skills Practice Workbook with Full Solutions

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Lists

Understanding Analysis by Stephen Abbott

The Cauchy-Schwarz Master Class by J. Michael Steele

How to Think About Analysis by Lara Alcock

Div, Grad, Curl, and All That by Harry M. Schey

Principles of Mathematical Analysis by Walter Rudin

Real Analysis (MMath)

52 books — 10 voters

Calculus Made Easy by Silvanus Phillips Thompson

The Mathematical Psychology of Gratry and Boole by Mary Everest Boole

G. W. Leibniz's Monadology by Gottfried Wilhelm Leibniz

Difficult & Tenacious Calculus

35 books — 1 voter

The Man Who Loved Only Numbers by Paul Hoffman

The Man Who Knew Infinity by Robert Kanigel

So You Want to Study Mathematics… by Susan Rigetti

45 books — 1 voter

Real and Complex Analysis by Walter Rudin

Visual Complex Analysis by Tristan Needham

Advances in Memristor Neural Networks by Calin Ciufudean

Greek Mathematical Works, Volume I by Ivor Thomas

Not Pop-Science - Mathematics

111 books — 10 voters

Category Theory in Context by Emily Riehl

A Book of Abstract Algebra by Charles C. Pinter

On Formally Undecidable Propositions of Principia Mathematica... by Kurt Gödel

Set Theory and the Continuum Hypothesis by Paul Cohen

Dover Mathematics

915 books — 40 voters

A First Course in Geometry by Edward T. Walsh

History of the Theory of Numbers, Volume II by Leonard Eugene Dickson

Mathematics

20 books — 1 voter

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Quotes Tagged “Calculus”

“ Psychology: it's sociology for sociopaths. ...more ”
― Ben Orlin, Change Is the Only Constant: The Wisdom of Calculus in a Madcap World

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“ With the star up above and the blackness of space, I can't avoid feeling awe. How could we, Homo sapiens, an insignificant species on an insignificant planet adrift in a middleweight galaxy, have managed to predict how space and time would tremble after two black holes collided in the vastness of the universe a billion light-years away? We knew what that wave should sound like before it got here. And, courtesy of calculus, computers, and Einstein, we were right. ...more ”
― Steven H. Strogatz, Infinite Powers: How Calculus Reveals the Secrets of the Universe

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