
- 544 pages
- English
- PDF
- Available on iOS & Android
Calculus and Its Applications
About this book
Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.
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Information
Table of contents
- Front Cover
- Calculus and its Applications
- Copyright Page
- Table of Contents
- PREFACE
- CHAPTER I. FUNDAMENTAL IDEAS
- CHAPTER II. DERIVATIVE
- CHAPTER III. DIFFERENTIATION AND APPLICATIONS
- CHAPTER IV. HIGHER ORDER DERIVATIVES
- CHAPTER V. DIFFERENTIATION OF THE TRIGONOMETRIC FUNCTIONS
- CHAPTER VI. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- CHAPTER VII. DIFFERENTIALS AND PARAMETRIC EQUATIONS
- CHAPTER VIII. VECTORS
- CHAPTER IX. ANTI-DIFFERENTIATION
- CHAPTER X. SEPARABLE DIFFERENTIAL EQUATIONS
- CHAPTER XI. DEFINITE INTEGRAL
- CHAPTER XII. APPLICATIONS OF THE DEFINITE INTEGRAL
- CHAPTER XIII. ADDITIONAL APPLICATIONS OF THE DEFINITE INTEGRAL
- CHAPTER XIV. TECHNIQUE OF INTEGRATION
- CHAPTER XV. APPROXIMATE INTEGRATION
- CHAPTER XVI. SOLID ANALYTIC GEOMETRY
- CHAPTER XVII. MULTIPLE INTEGRALS
- CHAPTER XVIII. INFINITE SERIES
- CHAPTER XIX. DIFFERENTIATION OF FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER XX. DIFFERENTIAL EQUATIONS
- TABLE OF INTEGRALS
- TRIGONOMETRIC FUNCTIONS
- NATURAL LOGARITHMS
- EXPONENTIAL AND HYPERBOLIC FUNCTIONSX
- COMMON LOGARITHMS
- ANSWERS TO ODD-NUMBERED PROBLEMS
- INDEX