Analysis and Beyond: An Introduction with Examples and Exercises

Name: Analysis and Beyond: An Introduction with Examples and Exercises
Brand: World Scientific Publishing Company
SKU: 9789819814046
Price: 213.54 PLN
Availability: InStock

Autor: Takako Kuzumaki, Jianya Liu

Język:

Oprawa: Miękka

Wydawca: World Scientific Publishing Company

Dostępność: Dostępna u dostawcy

Wysyłamy za 14-21 dni

213.54 zł

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

Informacje o książce

Autor

Takako Kuzumaki, Jianya Liu

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2021

strony

328

EAN

9789819814046

ISBN

9819814049

Enbook ID

48306725

Wydawca

World Scientific Publishing Company

Waga

439

Pełny opis

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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