The nineteen essays here illustrate many different aspects of mathematical thinking. The author is very well-known for his best-selling books of problems; in this volume he seeks to share his appreciation of the elegant and ingenious approaches used in thinking about even elementary mathematics. Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay. Topics include number theory, geometry, combinatorics, logic and probability, and the methods used often involve an interaction between these disciplines. Some of the essays are easy to read, others more challenging; some of the exercises are routine, others lead the reader deeper into the subject.

Ingenuity in Mathematics (New Mathematical Library, No. 23)

Ross Honsberger

The Mathematical Association of America

A collection of interesting problems in the fields of number theory, combinatorics and geometry

Mathematical Gems I: The Dolciani Mathematical Expositions

Science & Math

Mathematics

Mathematical Assn of Amer

Ross Honsberger is the author of six books published in the Dolciani Mathematical Expositions Series, each of which presents problems from algebra, arithmetic, number theory, probability, and geometry, and provides us with an ingenious solution to those problems. His most recent addition to the Dolciani series is: "More Mathematical Morsels" which is a continuation of the earlier "Mathematical Morsels" volume published in 1979. The problems presented here are meant to be enjoyed, rather than instruct, although instruction is almost always the automatic by-product. All of the problems in this collection are concerned only with elementary problems, but each of them contains something exciting - a surprising result, an intriguing approach, a stroke of ingenuity.

Mathematical Gems, Vol. 3 (Dolciani Mathematical Expositions, No. 9)

Another collection of problems from best-selling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

More Mathematical Morsels (Dolciani Mathematical Expositions)

Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.

From Erdös to Kiev: Problems of Olympiad Caliber (Dolciani Mathematical Expositions)

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.

Mathematical Diamonds (Dolciani Mathematical Expositions)

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.

Mathematical Delights (Dolciani Mathematical Expositions)

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Books by Ross Honsberger