Stories About Maxima And Minima

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Stories about Maxima and Minima

Author : Vladimir Mikhaĭlovich Tikhomirov
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.

Stories about Maxima and Minima

Author : Etienne Klerk
Publisher :
ISBN 13 : 9789078886785
Total Pages : 24 pages
Book Rating : 4.8/5 (867 download)

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Book Synopsis Stories about Maxima and Minima by : Etienne Klerk

Download or read book Stories about Maxima and Minima written by Etienne Klerk and published by . This book was released on 2010 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Calculus

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 1429231912
Total Pages : 1215 pages
Book Rating : 4.4/5 (292 download)

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Book Synopsis Calculus by : Jon Rogawski

Download or read book Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2011-03-30 with total page 1215 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.

Calculus: Early Transcendentals (Paper)

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 142923184X
Total Pages : 1207 pages
Book Rating : 4.4/5 (292 download)

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Book Synopsis Calculus: Early Transcendentals (Paper) by : Jon Rogawski

Download or read book Calculus: Early Transcendentals (Paper) written by Jon Rogawski and published by Macmillan. This book was released on 2011-03-30 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.

The Nature of Motive Force

Author : Achintya Kumar Pramanick
Publisher : Springer
ISBN 13 : 3642544711
Total Pages : 171 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis The Nature of Motive Force by : Achintya Kumar Pramanick

Download or read book The Nature of Motive Force written by Achintya Kumar Pramanick and published by Springer. This book was released on 2014-08-23 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.

Contemporary Issues in Islam and Science

Author : Muzaffar Iqbal
Publisher : Routledge
ISBN 13 : 1351949152
Total Pages : 732 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Contemporary Issues in Islam and Science by : Muzaffar Iqbal

Download or read book Contemporary Issues in Islam and Science written by Muzaffar Iqbal and published by Routledge. This book was released on 2017-05-15 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles selected for this volume explore emergent issues in the contemporary relationship between Islam and science and present studies of eight major voices in the discourse. Also included is a section on the operationalization of Islamic science in the modern world and a section on studies in traditional Islamic cosmology.

Handbook of Means and Their Inequalities

Author : P.S. Bullen
Publisher : Springer Science & Business Media
ISBN 13 : 940170399X
Total Pages : 563 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Means and Their Inequalities by : P.S. Bullen

Download or read book Handbook of Means and Their Inequalities written by P.S. Bullen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: There seems to be two types of books on inequalities. On the one hand there are treatises that attempt to cover all or most aspects of the subject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such, that brought some order to this untidy field, is the classical "Inequalities" of Hardy, Littlewood & P6lya, published in 1934. Important as this outstanding work was and still is, it made no attempt at completeness; rather it consisted of the total knowledge of three front rank mathematicians in a field in which each had made fundamental contributions. Extensive as this combined knowledge was there were inevitably certain lacunre; some important results, such as Steffensen's inequality, were not mentioned at all; the works of certain schools of mathematicians were omitted, and many important ideas were not developed, appearing as exercises at the ends of chapters. The later book "Inequalities" by Beckenbach & Bellman, published in 1961, repairs many of these omissions. However this last book is far from a complete coverage of the field, either in depth or scope.

Learn from the Masters

Author : Frank Swetz
Publisher : American Mathematical Soc.
ISBN 13 : 1470458284
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Learn from the Masters by : Frank Swetz

Download or read book Learn from the Masters written by Frank Swetz and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.

Creation Stories

Author : Anthony Aveni
Publisher : Yale University Press
ISBN 13 : 0300251246
Total Pages : 235 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Creation Stories by : Anthony Aveni

Download or read book Creation Stories written by Anthony Aveni and published by Yale University Press. This book was released on 2021-04-20 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible exploration of how diverse cultures have explained humanity's origins through narratives about the natural environment Drawing from a vast array of creation myths--Babylonian, Greek, Aztec, Maya, Inca, Chinese, Hindu, Navajo, Polynesian, African, Norse, Inuit, and more--this short, illustrated book uncovers both the similarities and differences in our attempts to explain the universe. Anthony Aveni, an award-winning author and professor of astronomy and anthropology, examines the ways various cultures around the world have attempted to explain our origins, and what roles the natural environment plays in shaping these narratives. The book also celebrates the audacity of the human imagination. Whether the first humans emerged from a cave, as in the Inca myths, or from bamboo stems, as the Bantu people of Africa believed, or whether the universe is simply the result of Vishnu's cyclical inhales and exhales, each of these fascinating stories reflects a deeper understanding of the culture it arose from as well as its place in the larger human narrative.

The member for Arcis, The seamy side of history, and other stories

Author : Honoré de Balzac
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The member for Arcis, The seamy side of history, and other stories by : Honoré de Balzac

Download or read book The member for Arcis, The seamy side of history, and other stories written by Honoré de Balzac and published by . This book was released on 1901 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Seasons. Stories for Very Young Children. Autumn ... Third Edition

Author : Jane MARCET
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.0/5 (24 download)

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Book Synopsis The Seasons. Stories for Very Young Children. Autumn ... Third Edition by : Jane MARCET

Download or read book The Seasons. Stories for Very Young Children. Autumn ... Third Edition written by Jane MARCET and published by . This book was released on 1840 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The American Mathematical Monthly

Author :
Publisher :
ISBN 13 :
Total Pages : 444 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 1991 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Problems on Maxima and Minima

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817644733
Total Pages : 273 pages
Book Rating : 4.8/5 (176 download)

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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

Notices of the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1992 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lewis Carroll Among His Books

Author : Charlie Lovett
Publisher : McFarland
ISBN 13 : 1476609411
Total Pages : 385 pages
Book Rating : 4.4/5 (766 download)

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Book Synopsis Lewis Carroll Among His Books by : Charlie Lovett

Download or read book Lewis Carroll Among His Books written by Charlie Lovett and published by McFarland. This book was released on 2015-01-09 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Lutwidge Dodgson--known better by his pseudonym, Lewis Carroll--was a 19th century English logician, mathematician, photographer, and novelist. He is especially remembered for his children's tale Alice's Adventures in Wonderland and its sequel, Through the Looking Glass. By the time of Dodgson's death in 1898, Alice (the integration of the two volumes) had become the most popular children's book in England. By the time of his centenary in 1932, it was perhaps the most famous in the world. This book presents a complete catalogue of Dodgson's personal library, with attention to every book the author is known to have owned or read. Alphabetized entries fully describe each book, its edition, its contents, its importance, and any particular relevance it might have had to Dodgson. The library not only provides a plethora of fodder for further study on Dodgson, but also reflects the Victorian world of the second half of the 19th century, a time of unprecedented investigation, experimentation, invention, and imagination. Dodgson's volumes represent a vast array of academic interests from Victorian England and beyond, including homeopathic medicine, spiritualism, astrology, evolution, women's rights, children's literature, linguistics, theology, eugenics, and many others. The catalogue is designed for scholars seeking insight into the mind of Charles Dodgson through his books.

When Least Is Best

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691218765
Total Pages : 406 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis When Least Is Best by : Paul J. Nahin

Download or read book When Least Is Best written by Paul J. Nahin and published by Princeton University Press. This book was released on 2021-05-18 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.