book

Quick Calculus, 3rd Edition

by Daniel Kleppner, Peter Dourmashkin, Norman Ramsey

April 2022

Beginner to intermediate

304 pages

7h 21m

English

Jossey-Bass

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1.1 A Few Preliminaries1.2 Functions1.3 Graphs1.4 Linear and Quadratic Functions1.5 Angles and Their Measurements1.6 Trigonometry1.7 Exponentials and LogarithmsSummary of Chapter 1Notes
2.1 The Limit of a Function2.2 Velocity2.3 Derivatives2.4 Graphs of Functions and Their Derivatives2.5 Differentiation2.6 Some Rules for Differentiation2.7 Differentiating Trigonometric Functions2.8 Differentiating Logarithms and Exponentials2.9 Higher‐Order Derivatives2.10 Maxima and Minima2.11 Differentials2.12 A Short Review and Some ProblemsConclusion to Chapter 2Summary of Chapter 2
3.1 Antiderivative, Integration, and the Indefinite Integral3.2 Some Techniques of Integration3.3 Area Under a Curve and the Definite Integral3.4 Some Applications of Integration3.5 Multiple IntegralsConclusion to Chapter 3Summary of Chapter 3Notes
4.1 Taylor Series4.2 Numerical Integration4.3 Differential Equations4.4 Additional Problems for Chapter 4Summary of Chapter 4Conclusion (frame 449)
A.1 Trigonometric Functions of Sums of AnglesA.2 Some Theorems on LimitsA.3 Exponential FunctionA.4 Proof ThatA.5 DifferentiatingA.6 Differentiating Trigonometric FunctionsA.7 Differentiating the Product of Two FunctionsA.8 Chain Rule for DifferentiatingA.9 Differentiating ln xA.10 Differentials When Both Variables Depend on a Third VariableA.11 Proof That if Two Functions Have the Same Derivative They Differ Only by a ConstantA.12 Limits Involving Trigonometric Functions
B.1 Implicit DifferentiationB.2 Differentiating the Inverse Trigonometric FunctionsB.3 Partial DerivativesB.4 Radial Acceleration in Circular MotionB.5 Resources for Further Study

Answers to Selected Problems from the Text
Chapter 1Chapter 2Chapter 3
Table 1: DerivativesTable 2: Integrals

Overview

Discover an accessible and easy-to-use guide to calculus fundamentals

In Quick Calculus: A Self-Teaching Guide, 3rd Edition, a team of expert MIT educators delivers a hands-on and practical handbook to essential calculus concepts and terms. The author explores calculus techniques and applications, showing readers how to immediately implement the concepts discussed within to help solve real-world problems.

In the book, readers will find:

An accessible introduction to the basics of differential and integral calculus
An interactive self-teaching guide that offers frequent questions and practice problems with solutions.
A format that enables them to monitor their progress and gauge their knowledge

This latest edition provides new sections, rewritten introductions, and worked examples that demonstrate how to apply calculus concepts to problems in physics, health sciences, engineering, statistics, and other core sciences.

Quick Calculus: A Self-Teaching Guide, 3rd Edition is an invaluable resource for students and lifelong learners hoping to strengthen their foundations in calculus.

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Publisher Resources

ISBN: 9781119743194