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, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra
Calculus
Calculus Made Easy
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, 5th Edition
Calculus: An Intuitive and Physical Approach
Calculus: Early Transcendentals
Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
A First Course in Calculus (Undergraduate Texts in Mathematics)
Calculus
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)
The Calculus 7
Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach
A Tour of the Calculus
Quick Forty Integration and Differential Equations by Alexander  ForrestNew Advanced Higher Mathematics Revision Notes by Alexander ForrestNat5/GCSE Mathematics Revision Questions With Worked Solutions by Alexander  ForrestHigher Mathematics Revision Questions by Alexander  Forrest
Maths Revision
4 books — 1 voter

Div, Grad, Curl, and All That by Harry M. ScheyCalculus Made Easy by Silvanus Phillips ThompsonThe Mathematical Psychology of Gratry and Boole by Mary Everest BooleG. W. Leibniz's Monadology by Gottfried Wilhelm LeibnizLeibniz by Daniel Garber
Difficult & Tenacious Calculus
35 books — 1 voter
Hidden Figures by Margot Lee ShetterlyMath Curse by Jon ScieszkaOne Grain of Rice by DemiThe Boy Who Loved Math by Deborah HeiligmanStacey the Math Whiz by Ann M. Martin
Mathematics in the Title
249 books — 27 voters

Understanding Analysis by Stephen AbbottThe Cauchy-Schwarz Master Class by J. Michael SteeleHow to Think About Analysis by Lara AlcockDiv, Grad, Curl, and All That by Harry M. ScheyPrinciples of Mathematical Analysis by Walter Rudin
Real Analysis (MMath)
52 books — 10 voters


John Rachel
You can't teach calculus to a chimpanzee. So just share your banana. ...more
John Rachel, Blinders Keepers

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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Starting in Summer of 2019, the Fields Institute's MathEd Forum is organizing a book club which …more
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