Analysis And Beyond: An Introduction With Examples And Exercises

Name: Analysis And Beyond: An Introduction With Examples And Exercises
Brand: World Scientific Publishing Co Pte Ltd
SKU: 9789811224485
Price: 491.12 RON
Availability: InStock

Autor: Takako Kuzumaki, Jianya Liu

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Legare: Copertă tare

Editura: World Scientific Publishing Co Pte Ltd

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491.12 lei

This volume aims to bridge between elementary textbooks on calculus and established books on advance...

Informații despre carte

Autor

Takako Kuzumaki, Jianya Liu

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2021

Pagini

328

EAN

9789811224485

ISBN

981122448X

Enbook ID

33213229

Editura

World Scientific Publishing Co Pte Ltd

Greutate

629

Dimensiuni

157 x 235 x 22

Descriere completă

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.

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