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Author: Jean-Paul Penot
Publisher: Springer Science & Business Media
ISBN: 1461445388
Category : Mathematics
Languages : en
Pages : 541
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Book Description
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Author: Jean-Paul Penot
Publisher: Springer Science & Business Media
ISBN: 1461445388
Category : Mathematics
Languages : en
Pages : 541
Get Book Here
Book Description
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Author: Richard P. Brent
Publisher: Courier Corporation
ISBN: 0486143686
Category : Mathematics
Languages : en
Pages : 210
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Book Description
DIVOutstanding text for graduate students and research workers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. /div
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author: Willliam Davis Flannery
Publisher: 1st Impression Publishing
ISBN: 9780976413806
Category :
Languages : en
Pages : 154
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Book Description
The first volume of a revolutionary new approach to learning calculus. Calculus Without Tears starts with computational calculus, which is not difficult, and provides a way for computing solutions to differential equations from the start. Calculus Without Tears is motivated by formulating and solving representative problems in physics and engineering.
Author: Martin Baxter
Publisher: Cambridge University Press
ISBN: 9780521552899
Category : Business & Economics
Languages : en
Pages : 252
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Book Description
A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.
Author: Silvanus P. Thompson
Publisher: St. Martin's Press
ISBN: 1466866357
Category : Study Aids
Languages : en
Pages : 348
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Book Description
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Author: Ivan Niven
Publisher: Cambridge University Press
ISBN: 9780883853061
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Describes techniques for solving problems in maxima and minima other than the methods of calculus.
Author: Silvanus Phillips Thompson
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 200
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Book Description
Author: Gilbert Strang
Publisher:
ISBN: 9781938168062
Category : Calculus
Languages : en
Pages : 824
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Book Description
"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486134768
Category : Mathematics
Languages : en
Pages : 962
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Book Description
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
