Download or read book Mathematical Chestnuts from around the World written by Ross Honsberger and published by Mathematical Association of America. This book was released on 2001-03-29 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger has compiled another collection of miscellaneous gems from elementary mathematics, this time from sources the world over, and ranging from the latest International Olympiads all the way back to Euclid. Each one casts light on a striking result or a brilliant device and any reader with only a modest mathematical background will appreciate the ingenious solutions that are also presented.
Download or read book Mathematical Chestnuts from around the World written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of miscellanious gems from elementary mathematics, ranging from the latest International Olympiads all the way back to Euclid. Each one casts light on a striking result or a brilliant device, and any reader with only a modest mathematical background will appreciate the ingenious solutions that are also presented.
Download or read book Mathematical Delights written by Ross Honsberger and published by Mathematical Association of America. This book was released on 2005-03-10 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text. Ross Honsberger has published thirteen best-selling books with the Mathematical Association of America including: Mathematical Diamonds, Mathematical Chestnuts from Around the World, From Erdös to Kiev and Ingenuity in Mathematics.
Download or read book A Mathematical Space Odyssey written by Claudi Alsina and published by The Mathematical Association of America. This book was released on 2015-08-21 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. Courses in solid geometry have largely disappeared from American high schools and colleges. The authors are convinced that a mathematical exploration of three-dimensional geometry merits some attention in today’s curriculum. A Mathematical Space Odyssey: Solid Geometry in the 21st Century is devoted to presenting techniques for proving a variety of mathematical results in three-dimensional space, techniques that may improve one’s ability to think visually. Special attention is given to the classical icons of solid geometry (prisms, pyramids, platonic solids, cones, cylinders, and spheres) and many new and classical results: Cavalieri’s principle, Commandino’s theorem, de Gua’s theorem, Prince Rupert’s cube, the Menger sponge, the Schwarz lantern, Euler’s rotation theorem, the Loomis-Whitney inequality, Pythagorean theorems in three dimensions, etc. The authors devote a chapter to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. In addition to many figures illustrating theorems and their proofs, a selection of photographs of three-dimensional works of art and architecture are included. Each chapter includes a selection of Challenges for the reader to explore further properties and applications. It concludes with solutions to all the Challenges in the book, references, and a complete index. Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.
Download or read book Icons of Mathematics An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Download or read book Mathematics and Sports written by Joseph A. Gallian and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible compendium of essays on the broad theme of mathematics and sports.
Download or read book Mathematical Diamonds written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2003-12-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdos. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Download or read book Studying Mathematics written by Marco Bramanti and published by Springer. This book was released on 2018-07-23 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions “for all”, “there exists”, “implies”, “is false”, ...; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C).
Download or read book Uncommon Mathematical Excursions written by Dan Kalman and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Delights written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2019-06-25 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.
Download or read book Mathematical Diamonds written by Ross Honsberger and published by Mathematical Association of America. This book was released on 2003-05-15 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdös. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Download or read book Great Moments in Mathematics before 1650 written by Howard Whitley Eves and published by MAA. This book was released on 1983 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: [V.2] This is a companion to Great moments in mathematics before 1650. It can be appreciated by anyone with a working knowledge of beginning deferential and integral calculus. Includes: the birth of mathematical probability, the invention of the differential calculus, the discovery of non-Euclidean geometry, the discovery of noncommutative algebra, and the resolution of the four-color problem.
Download or read book Honsberger Revisited written by Liong-shin Hahn and published by 國立臺灣大學出版中心. This book was released on 2011-12-01 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.
Download or read book New Horizons in Geometry written by Tom M. Apostol and published by American Mathematical Soc.. This book was released on 2017-10-24 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Problems in Mathematics Preparing for University written by Stephen Siklos and published by Open Book Publishers. This book was released on 2019-10-28 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
Download or read book A Guide to Functional Analysis written by Steven G. Krantz and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: MAA guides series numbering on title page appears as # 49. It should read # 9.
Download or read book A Guide to Groups Rings and Fields written by Fernando Q. Gouvêa and published by MAA. This book was released on 2012 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
