eBook - PDF

Calculus

Name: Calculus
Author: Stanley I. Grossman

Stanley I. Grossman,

1,364 pages
English
PDF
Only available on web

eBook - PDF

Calculus

Stanley I. Grossman,

Book details

Table of contents

Citations

About This Book

Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.

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Information

Publisher

Academic Press

Year

2014

ISBN

9781483262390

Edition

Topic

Matemáticas

Subtopic

Cálculo

Front Cover
Calculus
Copyright Page
Table of Contents
Dedication
Preface
To the Instructor
CHAPTER 1. PRELIMINARIES
CHAPTER 2. LIMITS AND DERIVATIVES
CHAPTER 3. MORE ABOUT DERIVATIVES
CHAPTER 4. APPLICATIONS OF THE DERIVATIVE
CHAPTER 5. THE INTEGRAL
CHAPTER 6. EXPONENTIALS AND LOGARITHMS
CHAPTER 7. MORE ON TRIGONOMETRIC FUNCTIONS AND THE HYPERBOLIC FUNCTIONS
CHAPTER 8. TECHNIQUES OF INTEGRATION
CHAPTER 9. FURTHER APPLICATIONS OF THE DEFINITE INTEGRAL
CHAPTER 10. TOPICS IN ANALYTIC GEOMETRY
CHAPTER 11. POLAR COORDINATES
CHAPTER 12. INDETERMINATE FORMS AND IMPROPER INTEGRALS
CHAPTER 13. TAYLOR POLYNOMIALS AND APPROXIMATION
CHAPTER 14. SEQUENCES AND SERIES
CHAPTER 15. VECTORS IN THE PLANE
CHAPTER 16. VECTOR FUNCTIONS, VECTOR DIFFERENTIATION, AND PARAMETRIC EQUATIONS
CHAPTER 17. VECTORS IN SPACE
CHAPTER 18. DIFFERENTIATION OF FUNCTIONS OF TWO AND THREE VARIABLES
CHAPTER 19. MULTIPLE INTEGRATION
CHAPTER 20. INTRODUCTION TO VECTOR ANALYSIS
CHAPTER 21. ORDINARY DIFFERENTIAL EQUATIONS
APPENDIX 1: REVIEW OF TRIGONOMETRY
APPENDIX 2: MATHEMATICAL INDUCTION
APPENDIX 3: DETERMINANTS
APPENDIX 4: THE BINOMIAL THEOREM
APPENDIX 5: THE PROOFS OF SOME THEOREMS ON LIMITS, CONTINUITY, AND DIFFERENTIATION
APPENDIX 6: COMPLEX NUMBERS
TABLES
Answers to Odd-Numbered Problems and Review Exercises
Index