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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.
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
In this book, Maor rejects the usual arid descriptions of the sine and cosine functions and their trigonometric relatives. He brings the subject to life in a compelling blend of mathematics, history , and biography. Form the 'proto-trigonometry' of the Egyptian pyramid builders to Renaissance Europe's quest for more accurate artillery, from the earliest known trigonometric table......
Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathe matics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combina torics and Optimization, and has been there ever since. Honsberger has published a number of bestselling books with the Mathematical Association of America, including Episodes in Nineteenth and Twentieth Century Euclidean Geometry, and From Erdos to Kiev. In Polya's Footsteps is his eighth book published in the Dolciani Mathematical Exposition Series. The study of mathematics is often undertaken with an air of such seriousness that it doesn't always seem to be much fun at the time. However, it is quite amazing how many surprising results and brilliant arguments one is in a position to enjoy with just a high school background. This is a book of miscellaneous delights, presented not in an attempt to instruct but as a harvest of rewards that are due good high school students and, of course, those more advancedtheir teachers, and everyone in the university mathematics community. Admittedly, they take a little concentration, but the price is a bargain for such gems. A half dozen essays are sprinkled among some hundred problems, most of which are the easier problems that have appeared on various national and international olympiads. Many subjects are representedcombinatorics, geometry, number theory, algebra, probability. The sections may be read in any order. The book concludes with twentyfive exercises and their detailed solutions. It is hoped that something to delight will be found in every sectiona surprising result, an intriguing approach, a stroke of ingenuityand that the leisurely pace and generous explanations will make them a pleasure to read. The inspiration for many of the problems came from the Olympiad Corner of Crux Mathematicorum, published by the Canadian Mathematical Society.
Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. Portal through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.
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.
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).
Strange Attractors is a collection of approximately 150 poems with strong links to mathematics in content, form, or imagery. The common theme is love, and the editors draw from its various manifestations-romantic love, spiritual love, humorous love, love between parents and children, mathematicians in love, love of mathematics. The poets include li
An accessible compendium of essays on the broad theme of mathematics and sports.