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Author: Wilfred Kaplan
Publisher: John Wiley & Sons
ISBN: 1118031040
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developed-from its theoretical underpinnings to problems, and finally, to its role in applications. Other features include: * A strong emphasis on practical applications of maxima and minima * An impressive array of supporting topics such as numerical analysis * An ample number of examples and problems * More than 60 illustrations highlighting the text * Algorithms to reinforce concepts * An appendix reviewing the prerequisite linear algebra Maxima and Minima with Applications is an ideal text for upper-undergraduate and graduate students taking courses in operations research, management, general engineering, and applied mathematics. It can also be used to supplement courses on linear and nonlinear optimization. This volume's broad scope makes it an excellent reference for professionals wishing to learn more about cutting-edge topics in optimization and mathematical programming.
Author: Wilfred Kaplan
Publisher: John Wiley & Sons
ISBN: 1118031040
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developed-from its theoretical underpinnings to problems, and finally, to its role in applications. Other features include: * A strong emphasis on practical applications of maxima and minima * An impressive array of supporting topics such as numerical analysis * An ample number of examples and problems * More than 60 illustrations highlighting the text * Algorithms to reinforce concepts * An appendix reviewing the prerequisite linear algebra Maxima and Minima with Applications is an ideal text for upper-undergraduate and graduate students taking courses in operations research, management, general engineering, and applied mathematics. It can also be used to supplement courses on linear and nonlinear optimization. This volume's broad scope makes it an excellent reference for professionals wishing to learn more about cutting-edge topics in optimization and mathematical programming.
Author: Vladimir Mikhaĭlovich Tikhomirov
Publisher: American Mathematical Soc.
ISBN: 0821801651
Category : Mathematics
Languages : en
Pages : 201
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Book Description
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the past - Euclid, Archimedes, Heron, the Bernoullis, Newton and many others - took part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book, copublished with the Mathematical Association of America (MAA), presents fifteen "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. Unlike most AMS publications, the book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how to remains the same in spite of these changes.
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: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644733
Category : Mathematics
Languages : en
Pages : 273
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Book Description
Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts
Author: William Heytesbury
Publisher: Springer Science & Business Media
ISBN: 940096496X
Category : History
Languages : en
Pages : 203
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Book Description
This book began with my edition of the anonymous treatise. A translation and notes seemed essential if the material of the treatise was to be understood. It then seemed that Chapter 5 of Heytesbury's Rules for Solving Sophismata, on which the treatise was based, should also be included. My translation of the Heytesbury treatise is based on a fifteenth-century edition, supplemented by readings from a few of the better manuscripts. (A critical edition from all the manuscripts, of which Chapter 5 will be mine, is now in progress under the supervision of Paul Spade, but only a few insignificant changes in the translation should be necessitated by the completed edition. ) An examination of related materials seemed reasonable, and these included Heytesbury's commentator Gaetano, as well as a chapter from a treatise by Johannes Venator (in an edition in progress provided by Francesco del Punta). It seemed unnecessary to publish Gaetano's and Venator's related works in this volume, but all their departures from Heytesbury and the anonymous treatise are noted here. I have not examined other works in the tradition in any detail. I owe a great deal to my teacher, Norman Kretzmann, not only as regards the edition and translations, but also as regards the notes, study and introduction. The referees of the typescript (to me unknown) made unusually thorough criticisms and suggestions to which I have paid close attention. The book is far better for my having done so.
Author: Neloy Khare
Publisher: Elsevier
ISBN: 0323995209
Category : Science
Languages : en
Pages : 576
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Book Description
The Role of Tropics in Climate Change: Global Case Studies uses a 20-chapter, easy-to-understand format to centralize the practical application ideas for functional metagenomics. This important resource not only includes chapters on next-generation sequencing technologies to study important biogeochemical cycles, degradation pathways and detoxification, but also gives insight into several tools that have been developed to integrate metadata and sequence data, allowing downstream comparative analyses of different datasets using several ecological indices. The book further explains newly developed techniques for sequencing DNA, generating shorter fragments than Sanger sequencing techniques to quickly read larger sequences in a shorter amount of time. - Provides a wealth of information to readers on state-of-the-art applications of metagenomics - Summarizes our current knowledge of the use of metagenomics and gives a novel and powerful insight into the already existing bioremediation process - Gives an overall picture of metagenomics and its application, processes, and future prospects in the field of bioremediation
Author: H. C. C. Martus
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 152
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Book Description
Author: Ramchundra
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 244
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Book Description
Author: Harris Hancock
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 218
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Book Description
Author: Franklin W. Diederich
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 734
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Book Description
A method is outlined for calculating the expected number of maxima or minima of a random process with non-Gaussian frequency distribution from the statistical moments of the process and its first two derivatives. This method is based on an estimate of the joint frequency function of the process and its first two derivatives given by mesm of a generalized form of Edgeworth's series; the procedure thus consists essentially in applying a correction to the results for a Gaussian process. The functions required in this procedure are calculated for the first two correction terms; therefore, the effects of skewness and kurtosis can be calculated, provided the required moments are known. Expressions are given for these moments in terms of multiple correlation functions and multi-spectra, and the relations between these functions for a random output of a linear system and those for the random input are indicated.
