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

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 Curious Incident of the Dog in the Night-Time by Mark Haddon

The Girl with the Dragon Tattoo by Stieg Larsson

Books with Characters Who Are Good at Math

112 books — 103 voters

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

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

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

Understanding Analysis by Stephen Abbott

The Cauchy-Schwarz Master Class by J. Michael Steele

How to Think About Analysis by Lara Alcock

Principles of Mathematical Analysis by Walter Rudin

Real Analysis (MMath)

52 books — 10 voters

Quick Forty Integration and Differential Equations by Alexander Forrest

New Advanced Higher Mathematics Revision Notes by Alexander Forrest

Nat5/GCSE Mathematics Revision Questions With Worked Solutions by Alexander Forrest

Higher Mathematics Revision Questions by Alexander Forrest

Maths Revision

4 books — 1 voter

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Quotes Tagged “Calculus”

“ I abandoned the assigned problems in standard calculus textbooks and followed my curiosity. Wherever I happened to be--a Vegas casino, Disneyland, surfing in Hawaii, or sweating on the elliptical in Boesel's Green Microgym--I asked myself, "Where is the calculus in this experience? ...more ”
― Jennifer Ouellette, The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse

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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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