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Analysis and Beyond: An Introduction with Examples and Exercises

1121.000

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AuthorShigeru Kanemitsu, Takako Kuzumaki and Jianya Liu
ISBN9780000990419
Published LanguageEnglish
Publication Year2021
PublisherWorld Scientific
BindingPaperback
Original Price$88
Pages328
EditionWorld Scientific Low Price Edition (WSLPE)

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.

Additional information

Weight0.5 kg
Dimensions15.24 × 2 × 22.86 cm
Author

ISBN

Published Language

Publication Year

Publisher

Binding

Original Price

Pages

328

Edition

World Scientific Low Price Edition (WSLPE)