Analysis And Beyond: An Introduction With Examples And Exercises

Shigeru Kanemitsu, Takako Kuzumaki, Jianya Liu (Autoren)

Buch | Hardcover

328 Seiten

2021
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-2448-5 (ISBN)

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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.

Erscheinungsdatum	24.02.2021
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-12-2448-X / 981122448X
ISBN-13	978-981-12-2448-5 / 9789811224485
Zustand	Neuware