Maxima and Minima with Applications

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Publisher : John Wiley & Sons
ISBN 13 : 1118031040
Total Pages : 298 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Maxima and Minima with Applications by : Wilfred Kaplan

Download or read book Maxima and Minima with Applications written by Wilfred Kaplan and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Index to Mathematical Problems, 1975-1979

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Publisher : MathPro Press
ISBN 13 : 9780962640124
Total Pages : 548 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1975-1979 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1975-1979 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on the Integral Calculus with Applications, Examples and Problems

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Publisher :
ISBN 13 :
Total Pages : 1014 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis A Treatise on the Integral Calculus with Applications, Examples and Problems by : Joseph Edwards

Download or read book A Treatise on the Integral Calculus with Applications, Examples and Problems written by Joseph Edwards and published by . This book was released on 1922 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stories about Maxima and Minima

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Publisher : American Mathematical Soc.
ISBN 13 : 0821801651
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stories about Maxima and Minima by : Vladimir Mikhaĭlovich Tikhomirov

Download or read book Stories about Maxima and Minima written by Vladimir Mikhaĭlovich Tikhomirov and published by American Mathematical Soc.. This book was released on 1990 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Maximum and Minimum Principles

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Publisher : CUP Archive
ISBN 13 : 9780521332446
Total Pages : 496 pages
Book Rating : 4.3/5 (324 download)

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Book Synopsis Maximum and Minimum Principles by : M. J. Sewell

Download or read book Maximum and Minimum Principles written by M. J. Sewell and published by CUP Archive. This book was released on 1987-12-17 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified account of the theory required to establish upper and lower bounds.

The American Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 1024 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The American Mathematical Monthly by :

Download or read book The American Mathematical Monthly written by and published by . This book was released on 1920 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Index to Mathematical Problems, 1980-1984

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Publisher : MathPro Press
ISBN 13 : 9780962640117
Total Pages : 554 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1980-1984 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1980-1984 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1992 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compendium of over 5,000 problems with subject, keyword, author and citation indexes.

Proceedings of the London Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Proceedings of the London Mathematical Society by :

Download or read book Proceedings of the London Mathematical Society written by and published by . This book was released on 1889 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Papers presented to J.E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965

Applied Probability

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Publisher : Springer Science & Business Media
ISBN 13 : 1441971653
Total Pages : 440 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Applied Probability by : Kenneth Lange

Download or read book Applied Probability written by Kenneth Lange and published by Springer Science & Business Media. This book was released on 2010-08-13 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besides the two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion of basic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientists from a variety of backgrounds will find Applied Probability useful as a reference

Scalar, Vector, and Matrix Mathematics

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Publisher : Princeton University Press
ISBN 13 : 1400888255
Total Pages : 1594 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Scalar, Vector, and Matrix Mathematics by : Dennis S. Bernstein

Download or read book Scalar, Vector, and Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2018-02-27 with total page 1594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Codes, Cryptology and Curves with Computer Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1108547826
Total Pages : 612 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Codes, Cryptology and Curves with Computer Algebra by : Ruud Pellikaan

Download or read book Codes, Cryptology and Curves with Computer Algebra written by Ruud Pellikaan and published by Cambridge University Press. This book was released on 2017-11-02 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.

Differential and Integral Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642864058
Total Pages : 364 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Differential and Integral Inequalities by : Wolfgang Walter

Download or read book Differential and Integral Inequalities written by Wolfgang Walter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.

An Introduction to the Study of the Elements of the Differential and Integral Calculus

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Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis An Introduction to the Study of the Elements of the Differential and Integral Calculus by : Axel Harnack

Download or read book An Introduction to the Study of the Elements of the Differential and Integral Calculus written by Axel Harnack and published by . This book was released on 1891 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economic Efficiency and Social Welfare (Routledge Revivals)

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Publisher : Routledge
ISBN 13 : 1136629556
Total Pages : 293 pages
Book Rating : 4.1/5 (366 download)

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Book Synopsis Economic Efficiency and Social Welfare (Routledge Revivals) by : E. J. Mishan

Download or read book Economic Efficiency and Social Welfare (Routledge Revivals) written by E. J. Mishan and published by Routledge. This book was released on 2013-05-13 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1981, Professor Mishan’s Economic Efficiency and Social Welfare: Selected Essays on Fundamental Aspects of the Economic Theory of Social Welfare is a collection of 22 pioneering essays written while the author was teaching at the London School of Economics and chosen to indicate landmarks in the development of his own thought. Professor Mishan, who also enjoys an international reputation as a popular writer on the impact of modern economic growth on social welfare, is among the foremost authorities in the field of resource allocation, and his influence in his subject area has been profound. Mishan’s essays, while generally accessible to the layman due to the author’s lucidity, his economy in the use of mathematical notation and his concern with perspective, are invaluable reading for the economics undergraduate. The essays are particularly relevant to upper level students of project appraisal, welfare economics and cost benefit analysis requiring a coherent survey of their field of study.

Theory of Relations

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Publisher : Elsevier
ISBN 13 : 0080960413
Total Pages : 411 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Theory of Relations by : R. Fraïssé

Download or read book Theory of Relations written by R. Fraïssé and published by Elsevier. This book was released on 2011-08-18 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criterion of Pouzet-Vaught for saturated relations). The notion of bound of a relation (due to the author) leads to important calculus of thresholds by Frasnay, Hodges, Lachlan and Shelah. The redaction systematically goes back to set-theoretic axioms and precise definitions (such as Tarski's definition for finite sets), so that for each statement it is mentioned either that ZF axioms suffice, or what other axioms are needed (choice, continuum, dependent choice, ultrafilter axiom, etc.).

Optimization in integers and related extremal problems

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Publisher : RWS Publications
ISBN 13 : 1888603372
Total Pages : 310 pages
Book Rating : 4.8/5 (886 download)

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Book Synopsis Optimization in integers and related extremal problems by : Thomas L. Saaty

Download or read book Optimization in integers and related extremal problems written by Thomas L. Saaty and published by RWS Publications. This book was released on 2014-12-19 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, the first of its kind, surveys the entire field of optimization in integers. It is designed for students of mathematics, engineering, science, social science, and operations research. It will stimulate and excite the reader's interest in the elementary methods and ideas. of discrete optimization and related problems. The text presents the current theories and a wide variety of examples and applications of optimization in integers in both geometric end algebraic settings. Coverage is given to a wide class of problems and the ways in which they may be handled. The text includes numerous exercises and illustrations.

Encyclopaedia of Mathematics (set)

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Publisher : Springer Science & Business Media
ISBN 13 : 9781556080104
Total Pages : 982 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Encyclopaedia of Mathematics (set) by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics (set) written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1994-02-28 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.