
- 1,206 pages
- English
- PDF
- Available on iOS & Android
Table of Integrals, Series, and Products
About this book
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
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Information
Table of contents
- Front Cover
- Table of Integrals, Series, and Products
- Copyright Page
- Table of Contents
- PREFACE TO THE CORRECTED AND ENLARGED EDITION
- PREFACE TO THE FIRST EDITION
- PREFACE TO THE THIRD EDITION
- PREFACE TO THE FOURTH EDITION
- EDITOR'S FOREWORD
- ACKNOWLEDGMENT
- THE ORDER OF PRESENTATION OF THE FORMULAS
- USE OF THE TABLES
- INDEX OF SPECIAL FUNCTIONS AND NOTATIONS
- NOTATIONS
- NOTE ON THE BIBLIOGRAPHIC REFERENCES
- CHAPTER 0. INTRODUCTION
- CHAPTER 1. ELEMENTARY FUNCTIONS
- CHAPTER 2. INDEFINITE INTEGRALS OF ELEMENTARY FUNCTIONS
- CHAPTER 3.-4. DEFINITE INTEGRALS OF ELEMENTARY FUNCTIONS
- CHAPTER 5. INDEFINITE INTEGRALS OF SPECIAL FUNCTIONS
- CHAPTER 6.-7. DEFINITE INTEGRALS OF SPECIAL FUNCTIONS
- CHAPTER 8-9. SPECIAL FUNCTIONS
- CHAPTER 10. VECTOR FIELD THEORY
- CHAPTER 11. ALGEBRAIC INEQUALITIES
- CHAPTER 12. INTEGRAL INEQUALITIES
- CHAPTER 13. MATRICES AND RELATED RESULTS
- CHAPTER 14. DETERMINANTS
- CHAPTER 15. NORMS
- CHAPTER 16. ORDINARY DIFFERENTIAL EQUATIONS
- 16.1-16.9 Results Relating to the Solution of Ordinary Differential Equations
- CHAPTER 17. FOURIER AND LAPLACE TRANSFORMS
- BIBLIOGRAPHIC REFERENCES USED IN PREPARATION OF TEXT
- CLASSIFIED SUPPLEMENTARY REFERENCES