
- 322 pages
- English
- PDF
- Available on iOS & Android
Operational Calculus
About this book
Pure and Applied Mathematics, Volume 109: Operational Calculus, Second Edition. Volume I presents the foundations of operational calculus and its applications to physics and engineering. This book introduces the operators algebraically as a kind of fractions. Organized into three parts, this volume begins with an overview of the concept as well as the characteristics of a convolution of continuous functions. This text then examines the transitivity, associativity, and distributivity of convolution with regard to addition. Other parts consider the methods of solving other difference equations, particularly in the field of electrical engineering, in which the variable runs over integer values only. This book discusses as well the solution of differential equations under given initial conditions. The final part deals with the characteristic properties of a derivative and provides the definition of algebraic derivative to any operators. This book is a valuable resource for physicists, electrical engineers, mathematicians, and research workers.
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Table of contents
- Front Cover
- Operational Calculus
- Copyright Page
- Table of Contents
- FOREWORD
- FOREWORD TO THE SECOND ENGLISH EDITION
- PART I: OPERATIONAL ALGEBRA
- PART II: SEQUENCES AND SERIES OF OPERATORS
- PART III: THE OPERATIONAL DIFFERENTIAL CALCULUS
- Answers to problems
- Bibliography
- Index
- Other Titles in the Series in Pure and Applied Mathematics