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Analysis And Beyond: An Introduction With Examples And Exercises

Analysis And Beyond: An Introduction With Examples And Exercises

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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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 328
ISBN-13: 9789811224485
Indbinding: Hardback
Udgave:
ISBN-10: 981122448X
Kategori: Analytisk geometri
Udg. Dato: 3 mar 2021
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 3 mar 2021
Forfatter(e) Shigeru Kanemitsu, Takako Kuzumaki, Jianya Liu


Kategori Analytisk geometri


ISBN-13 9789811224485


Sprog Engelsk


Indbinding Hardback


Sider 328


Udgave


Længde 0mm


Bredde 0mm


Højde 0mm


Udg. Dato 3 mar 2021


Oplagsdato 3 mar 2021


Forlag World Scientific Publishing Co Pte Ltd

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