
- 264 pages
- English
- PDF
- Available on iOS & Android
Operational Calculus
About this book
Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Front Cover
- Operational Calculus
- Copyright Page
- Table of Contents
- FOREWORD TO THE FIRST ENGLISH EDITION
- FOREWORD TO THE SECOND ENGLISH EDITION
- SUPPLEMENTS TO VOLUME I
- PART IV: AN OUTLINE OF THE GENERAL THEORY OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
- PART V: INTEGRAL OPERATIONAL CALCULUS
- PART VI: ADVANCED TOPICS IN THE OPERATIONAL CALCULUS
- PART VII: FORMULAE AND TABLES
- APPENDIX—SOME TOPICS FROM REAL ANALYSIS
- Answers to problems
- Bibliography
- Index
- Other titles in the series