Quick Calculus, 3rd Edition

Quick Calculus, 3rd Edition

by Daniel Kleppner, Peter Dourmashkin, Norman Ramsey
Released April 2022
Publisher(s): Jossey-Bass
ISBN: 9781119743194

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Book description

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.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Preface
  5. CHAPTER ONE: Starting Out
    1. 1.1 A Few Preliminaries
    2. 1.2 Functions
    3. 1.3 Graphs
    4. 1.4 Linear and Quadratic Functions
    5. 1.5 Angles and Their Measurements
    6. 1.6 Trigonometry
    7. 1.7 Exponentials and Logarithms
    8. Summary of Chapter 1
    9. Notes
  6. CHAPTER TWO: Differential Calculus
    1. 2.1 The Limit of a Function
    2. 2.2 Velocity
    3. 2.3 Derivatives
    4. 2.4 Graphs of Functions and Their Derivatives
    5. 2.5 Differentiation
    6. 2.6 Some Rules for Differentiation
    7. 2.7 Differentiating Trigonometric Functions
    8. 2.8 Differentiating Logarithms and Exponentials
    9. 2.9 Higher‐Order Derivatives
    10. 2.10 Maxima and Minima
    11. 2.11 Differentials
    12. 2.12 A Short Review and Some Problems
    13. Conclusion to Chapter 2
    14. Summary of Chapter 2
  7. CHAPTER THREE: Integral Calculus
    1. 3.1 Antiderivative, Integration, and the Indefinite Integral
    2. 3.2 Some Techniques of Integration
    3. 3.3 Area Under a Curve and the Definite Integral
    4. 3.4 Some Applications of Integration
    5. 3.5 Multiple Integrals
    6. Conclusion to Chapter 3
    7. Summary of Chapter 3
    8. Notes
  8. CHAPTER FOUR: Advanced Topics: Taylor Series, Numerical Integration, and Differential Equations
    1. 4.1 Taylor Series
    2. 4.2 Numerical Integration
    3. 4.3 Differential Equations
    4. 4.4 Additional Problems for Chapter 4
    5. Summary of Chapter 4
    6. Conclusion (frame 449)
  9. APPENDIX A: APPENDIX ADerivations
    1. A.1 Trigonometric Functions of Sums of Angles
    2. A.2 Some Theorems on Limits
    3. A.3 Exponential Function
    4. A.4 Proof That
    5. A.5 Differentiating
    6. A.6 Differentiating Trigonometric Functions
    7. A.7 Differentiating the Product of Two Functions
    8. A.8 Chain Rule for Differentiating
    9. A.9 Differentiating ln x
    10. A.10 Differentials When Both Variables Depend on a Third Variable
    11. A.11 Proof That if Two Functions Have the Same Derivative They Differ Only by a Constant
    12. A.12 Limits Involving Trigonometric Functions
  10. APPENDIX B: APPENDIX BAdditional Topics in Differential Calculus
    1. B.1 Implicit Differentiation
    2. B.2 Differentiating the Inverse Trigonometric Functions
    3. B.3 Partial Derivatives
    4. B.4 Radial Acceleration in Circular Motion
    5. B.5 Resources for Further Study
  11. Frame Problems Answers
    1. Answers to Selected Problems from the Text
  12. Review Problems
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
  13. Tables
    1. Table 1: Derivatives
    2. Table 2: Integrals
  14. Index
  15. Index of Symbols
  16. End User License Agreement

Product information

  • Title: Quick Calculus, 3rd Edition
  • Author(s): Daniel Kleppner, Peter Dourmashkin, Norman Ramsey
  • Release date: April 2022
  • Publisher(s): Jossey-Bass
  • ISBN: 9781119743194