Analysis and Beyond: An Introduction with Examples and Exercises

Kanemitsu, Shigeru; Kuzumaki, Takako; Liu, Jianya

ISBN 10: 981122448X / ISBN 13: 9789811224485

Verlag: World Scientific Pub Co Inc, 2021

Beschreibung

Bestandsnummer des Verkäufers I-9789811224485

Bibliografische Details

• Titel: Analysis and Beyond: An Introduction with Examples and Exercises
• Verlag: World Scientific Pub Co Inc
• Erscheinungsjahr: 2021
• Sprache: Englisch
• ISBN-10: 981122448X
• ISBN-13: 9789811224485
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.