
Analysis And Beyond: An Introduction With Examples And Exercises
AN INTRODUCTION WITH EXAMPLES & EXERCISES
World Scientific Publishing Co Pte Ltd
Published on 3. March 2021
Book
Hardback
328 pages
978-981-12-2448-5 (ISBN)
Description
This volume aims to bridge between elementary textbooks on calculus and established books on advanced analysis. It provides elucidation of the reversible process of differentiation and integration through two featured principles: the chain rule and its inverse - the change of variable - as well as the Leibniz rule and its inverse - the integration by parts. The chain rule or differentiation of composite functions is ubiquitous since almost all (a.a.) functions are composite functions of (elementary) functions and with the change of variable method as its reverse process. The Leibniz rule or differentiation of the product of two functions is essential since it makes differentiation nonlinear and with the method of integration by parts as its reverse process.Readers will find numerous worked-out examples and exercises in this volume. Detailed solutions are provided for most of the common exercises so that readers remain enthusiastically motivated in solving and understanding the concepts better.The intention of this volume is to lead the reader into the rich fields of advanced analysis and to obtain a much better view of useful mathematics.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 22 mm
Weight
627 gr
ISBN-13
978-981-12-2448-5 (9789811224485)
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Schweitzer Classification
Persons
Author
Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China
Gifu Univ, Japan
Shandong Univ, China