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

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

Infinite Powers: How Calculus Reveals the Secrets of the Universe

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)

Essential Calculus Skills Practice Workbook with Full Solutions

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)

Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach

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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

Category Theory in Context by Emily Riehl

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

A Book of Abstract Algebra by Charles C. Pinter

Set Theory and the Continuum Hypothesis by Paul Cohen

Dover Mathematics

891 books — 38 voters

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

Greek Mathematical Works, Volume I by Ivor Thomas

The Math of Neural Networks by Michael Taylor

Not Pop-Science - Mathematics

108 books — 9 voters

The Boy Who Loved Math by Deborah Heiligman

Mathematics in the Title

249 books — 27 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

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Quotes Tagged “Calculus”

“ What music is to the heart, mathematics is to the mind. ”
― Amit Kalantri, Wealth of Words

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“ Mathematics is unable to specify whether motion is continuous, for it deals merely with hypothetical relations and can make its variable continuous or discontinuous at will. The paradoxes of Zeno are consequences of the failure to appreciate this fact and of the resulting lack of a precise specification of the problem. The former is a matter of scientific description a posteriori, whereas the latter is a matter solely of mathematical definition a priori. The former may consequently suggest that ...more ”
― Carl B. Boyer, The History of the Calculus and Its Conceptual Development

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