Calculus ：Introductory Theory and Applications in Physical and Life Science

Publication subTitle ：Introductory Theory and Applications in Physical and Life Science

Author： Johnson   R. M.  

Publisher： Elsevier Science‎

Publication year： 1995

E-ISBN: 9780857099860

P-ISBN(Paperback): 9781898563068

P-ISBN(Hardback):  9781898563068

Subject： O241 数值分析

Language： ENG

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Description

This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at the end of each chapter test comprehension before moving to new material.

  • Provides a clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions
  • Includes short, useful diagnostic exercises at the end of each chapter

Chapter

Front Cover

pp.：  1 – 4

ABOUT OUR AUTHOR

pp.：  3 – 10

Calculus: Introduction to Theory and Applications in Physical and Life Science

pp.：  4 – 5

Copyright Page

pp.：  5 – 6

Table of Contents

pp.：  6 – 3

Preface

pp.：  10 – 12

Chapter 0. Prerequisites from Algebra, Geometry and Trigonometry

pp.：  12 – 25

Chapter 1. Limits and Differentiation

pp.：  25 – 55

Chapter 2. Differentiation of Products and Quotients

pp.：  55 – 67

Chapter 3. Higher-order Derivatives

pp.：  67 – 83

Chapter 4. Integration

pp.：  83 – 104

Chapter 5. Definite Integrals

pp.：  104 – 130

Chapter 6. Stationary Points and Points of Inflexion

pp.：  130 – 157

Chapter 7. Applications of the Function of a Function Rule

pp.：  157 – 174

Chapter 8. The Exponential, Logarithmic and Hyperbolic Functions

pp.：  174 – 203

Chapter 9. Inverse Trigonometric and Hyperbolic Functions

pp.：  203 – 220

Chapter 10. Methods of Integration

pp.：  220 – 242

Chapter 11. Further Applications of Integration

pp.：  242 – 275

Chapter 12. Approximate Integration

pp.：  275 – 285

Chapter 13. Infinite Series

pp.：  285 – 301

Chapter 14. Differential Equations

pp.：  301 – 328

Table 1 The derivatives of common functions

pp.：  328 – 329

Table 2 Standard integrals

pp.：  329 – 330

Index

pp.：  330 – 338

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