Analysis And Beyond: An Introduction With Examples And Exercises (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	2021
First published:	2021
Authors:	Shigeru Kanemitsu • Takako Kuzumaki • Jianya Liu
Format:	Hardcover
Pages:	328
ISBN-13:	978-981-12-2448-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
LSN:	981-12-2448-X
Barcode:	9789811224485

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