Theory of Maxima and Minima, Vol. 9 (Classic Reprint) - Couverture souple

Hancock, Harris

9781330398067: Theory of Maxima and Minima, Vol. 9 (Classic Reprint)

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ISBN 10 : 1330398068 ISBN 13 : 9781330398067

Editeur : Forgotten Books, 2018

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Master the principles of maxima and minima with a rigorous, classic guide. This volume introduces the calculus of variations and the theory of extreme values, presenting ordinary and extraordinary cases with clear, applied focus. It connects historical developments to modern methods, helping readers build a solid foundation for graduate work in mathematics.

The text blends historical perspective with practical technique. It explains how early ideas evolved into reliable criteria for extremes and shows how to apply these ideas to functions of one or several variables, with or without subsidiary conditions. The presentation emphasizes pedagogy, including multiple forms of Taylor expansions and step-by-step reasoning you can follow from first principles.

- Learn the conditions that distinguish true maxima and minima from similar, non-extreme cases.
- Explore methods developed by Scheeffer, Stolz, and Dantscher, plus classical approaches that informed modern analysis.
- See how quadratic forms and homogeneous functions play a role in determining definiteness and extremes.
- Work through problems and examples that illustrate both ordinary and exceptional scenarios.

Ideal for readers seeking a thorough introduction to the calculus of maxima and minima as a stepping stone to higher mathematics and graduate study.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330398068
ISBN 13: 9781330398067
Reliure: Broch�
Nombre de pages: 211
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Theory of Maxima and Minima, Vol. 9 (Classic Reprint)

Harris Hancock

Edit� par Forgotten Books, 2018

ISBN 10 : 1330398068 ISBN 13 : 9781330398067

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book explores the theory of maxima and minima, a mathematical concept used to find the largest or smallest value of a function. Beginning with the basic concepts of calculus, the author develops the theorems for finding and classifying maxima and minima, known as extreme values. The book then investigates the techniques for handling more complex functions, including those with multiple variables and constraints. The author examines the theoretical underpinnings of these methods, including denite, semi-denite, and indenite forms, and provides examples to illustrate their application. Through its rigorous treatment of the subject, this book offers an in-depth understanding of the theory of maxima and minima. It is an essential resource for students, researchers, and practitioners who need to optimize functions and solve problems in various elds, including mathematics, engineering, economics, and computer science. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781330398067_0

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