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On Maxima And Minima
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Book Synopsis Geometric Problems on Maxima and Minima by : Titu Andreescu
Download or read book Geometric Problems on Maxima and Minima written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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.
Book Synopsis Maxima and Minima Without Calculus by : Ivan Niven
Download or read book Maxima and Minima Without Calculus written by Ivan Niven and published by Cambridge University Press. This book was released on 1981 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes techniques for solving problems in maxima and minima other than the methods of calculus.
Book Synopsis Theory of Maxima and Minima by : Harris Hancock
Download or read book Theory of Maxima and Minima written by Harris Hancock and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
Book Synopsis A Treatise on Problems of Maxima and Minima by : Ramchundra
Download or read book A Treatise on Problems of Maxima and Minima written by Ramchundra and published by . This book was released on 1859 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maxima and Minima Without Calculus by : Ivan Niven
Download or read book Maxima and Minima Without Calculus written by Ivan Niven and published by American Mathematical Soc.. This book was released on 1981-12-31 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima minima other than the methods of calculus and linear programming. The emphasis is not on individual problems, but on methods that solve large classes of problems. The many chapters of the book can be read independently, without references to what precedes or follows. Besides the many problems solved in the book, others are left to the reader to solve, with sketches of solutions given in the later pages.
Book Synopsis How to Construct Graphs by : Georgiĭ Evgenʹevich Shilov
Download or read book How to Construct Graphs written by Georgiĭ Evgenʹevich Shilov and published by . This book was released on 1963 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Maxima and Minima by : Harris Hancock
Download or read book Theory of Maxima and Minima written by Harris Hancock and published by . This book was released on 1917 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maxima and Minima written by R. Frisch and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise on Problems of Maxima and Minima Solved by Algebra by : Ramchundra
Download or read book A Treatise on Problems of Maxima and Minima Solved by Algebra written by Ramchundra and published by . This book was released on 1850 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Book Synopsis Optima for Animals by : R. McNeill Alexander
Download or read book Optima for Animals written by R. McNeill Alexander and published by Princeton University Press. This book was released on 2020-11-10 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization theory is designed to find the best ways of doing things. The structures of animals, their movements, their behavior, and their life histories have all been shaped by the optimizing processes of evolution or of learning by trial and error. In this revised edition of R. McNeill Alexander's widely acclaimed Optima for Animals, we see how extraordinarily diverse branches of biology are illuminated by the powerful methods of optimization theory. What is the best strength for a bone? Too weak a bone will probably break but an excessively stout one will be cumbersome. At what speed should humans change from walking to running? Should a bird take only big juicy worms or should it eat every worm it finds, and do birds make the best choices? Why do the males of some species of fishes and the females of others look after the young, while the young of others are looked after by both parents or neither? Is it possible that all these policies can be optimal, in different circumstances? This book shows how these and many other questions can be answered. The mathematics involved is explained very simply, with biology students in mind, but the book is not just for them. It is also for professionals, ranging from teachers to researchers.
Download or read book Ray Tracing Gems written by Eric Haines and published by Apress. This book was released on 2019-02-25 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a must-have for anyone serious about rendering in real time. With the announcement of new ray tracing APIs and hardware to support them, developers can easily create real-time applications with ray tracing as a core component. As ray tracing on the GPU becomes faster, it will play a more central role in real-time rendering. Ray Tracing Gems provides key building blocks for developers of games, architectural applications, visualizations, and more. Experts in rendering share their knowledge by explaining everything from nitty-gritty techniques that will improve any ray tracer to mastery of the new capabilities of current and future hardware. What you'll learn: The latest ray tracing techniques for developing real-time applications in multiple domains Guidance, advice, and best practices for rendering applications with Microsoft DirectX Raytracing (DXR) How to implement high-performance graphics for interactive visualizations, games, simulations, and more Who this book is for:Developers who are looking to leverage the latest APIs and GPU technology for real-time rendering and ray tracing Students looking to learn about best practices in these areas Enthusiasts who want to understand and experiment with their new GPUs
Author :George T. Gilbert Publisher :Mathematical Association of America ISBN 13 :9780883853160 Total Pages :243 pages Book Rating :4.8/5 (531 download)
Book Synopsis Wohascum County Problem Book by : George T. Gilbert
Download or read book Wohascum County Problem Book written by George T. Gilbert and published by Mathematical Association of America. This book was released on 1996-09-05 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you like problem solving, this book belongs on your shelf. Some knowledge of linear or abstract algebra is needed for a few of the problems, but most require nothing beyond calculus, and many should be accessible to high school students. The book centers on solutions which are elegant, instructive, and clear. Often several solutions to the same problem are presented. There are many hints and comments to help you and to put solutions in a broader perspective. Indices are provided which may be especially helpful to problem solving classes and to teams of individuals preparing for contests such as the Putnam exam.
Book Synopsis The Theory of Maxima and Minima by : Harris Hancock
Download or read book The Theory of Maxima and Minima written by Harris Hancock and published by . This book was released on 2018-12-03 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE theory of maxima and minima contains pitfalls into which have fallen such well-known mathematicians as Lagrange, Bertrand, Serret, and Todhunter. A peculiar interest, therefore, is attached to the subject, and the reader will find Prof. Hancock's book well worth his study. Except that there is no reference to calculus of variations, the author has succeeded in covering the ground fairly thoroughly, and that without allowing the argument to be anywhere tedious. He gives many references, and a few quite interesting examples. After a short investigation of maxima and minima of functions of a single variable, he gives in some detail the methods of Scheeffer and von Dantscher, which introduced rigour into the discussion of functions of two or three variables. The theory here is intimately connected with the theory of quadratic forms and singularities of higher plane curves. The author seems not to have read such books as Bromwich's "Quadratic Forms," Hilton's "Linear Substitutions," or Muth's "Elementartheilar," which would have enabled him in places to simplify his treatment of quadratic forms. In tracing a plane curve near a singularity, the author should have made use of Newton's diagram. He should also have avoided such a phrase as "cusps of the first and second kind," which implies that the cusps in question are comparable. whereas the latter is a singularity of much higher complexity than the former. The chapter on relative maxima and minima is especially interesting. The discussion usually given in the text-books is very scanty, and the fuller treatment here given is very welcome. A valuable point is made in §§ 98--107. The usual proof that the maximum triangle inscribed in a given circle is equilateral runs as follows: "If not, suppose ABC to be the greatest triangle. If AB+AC, let D bisect the arc BAC. Then the triangle BDC>BAC, etc." Is this argument admissible? The reader may compare the following reasoning, due to an Italian author: "Unity is the greatest integer. For, if not, suppose n (≠ x) the greatest. Then n2 > n, etc." The proofs run parallel, but the tacit assumption (a greatest triangle or integer exists) is lawful in one case and not in the other. --Nature, Vol. 102 [1919]
Book Synopsis Advanced Differential Calculus by : A.K. Sharma
Download or read book Advanced Differential Calculus written by A.K. Sharma and published by Discovery Publishing House. This book was released on 2010 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Change of Independent Variables, Maxima and Minima (Of Functions of a Single Independent Variable), Maxima and Minima (Of Functions of Two Independent Variable), Maxima and Minima (Of Function of Several Independent Variable), Envelopes and Evolutes, Jacobians, Singular Points, Curve Tracing.
