Mathematical Gems III follows and strengthens the tradition established by Honsberger's earlier works, all best sellers and winners of rave reviews. It has something for everyone - students, teachers, and armchair mathematicians alike. Here you will find gems from elementary combinatorics, number theory, and geometry. Each essay contains historical commentary, interesting anecdotes, mathematical background, and a careful discussion built around a famous problem, theorem, or mathematician. It also contains a collection of fascinating and illuminating exercises related to the topics of the essays.
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Editorial Reviews
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'Written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures.' Mathematics and Computer Education
Book Description
Mathematical Gems III has something for everyone - students, teachers, and armchair mathematicians alike. Here you will find gems from elementary combinatorics, number theory, and geometry. Each essay contains historical commentary, interesting anecdotes, mathematical background, and a careful discussion built around a famous problem, theorem, or mathematician, plus fascinating and illuminating exercises.
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13 of 14 people found the following review helpful:
5.0 out of 5 stars
An excellent anthology which deserves to be better known,
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This review is from: Mathematical Gems III (Dolciani Mathematical Expositions) (Pt.3) (Paperback)
This book and its predecessors are pitched at the level of advanced high school students and undergraduates. All problems employ elementary techniques and the solutions are easily followed. Volume III contains a substantial chapter devoted to the best Internationl Mathematical Olympiad problems from the early '80s and chapters on Ramanujan's highly composite numbers, Fibonacci numbers - with much you will find new - and "a problem of Paul Erdös". The author's tone is amiable and light. There is nothing trite in the collection and no surplus fat. For Martin Gardner fans in search of something a little more highly engineered, Gems II and III will prove to be a sound investment.
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First Sentence:
No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some two that differ by 10, some two that differ by 12, and some two that differ by 13, but that you need not have any two that differ by 11. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
persistent numbers, pigeonhole principle, equal tangents, different integers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Murray Klamkin, Olympiad Corner, International Olympiad, Practice Set, The Mathematical Gazette, Moscow Olympiad, Third Round, Canadian Olympiad, Crux Mathematicorum, First Round New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some two that differ by 10, some two that differ by 12, and some two that differ by 13, but that you need not have any two that differ by 11. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
persistent numbers, pigeonhole principle, equal tangents, different integers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Murray Klamkin, Olympiad Corner, International Olympiad, Practice Set, The Mathematical Gazette, Moscow Olympiad, Third Round, Canadian Olympiad, Crux Mathematicorum, First Round New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 9
books:
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26
books
cite this book:
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- Mathematical Morsels by Ross Honsberger in Front Matter (1), and Front Matter (2)
- Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) by Robert M. Young in Front Matter
- Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions) by Victor Klee in Front Matter
- Hunter College (NY) (College History) by Joan M. Williams in Back Matter
- Mathematical Plums by Ross Hosberger in Front Matter
See all 9 books this book cites
- Elementary Number Theory with Applications by Thomas Koshy on page 62, and Back Matter
- Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) by Robert M. Young in Front Matter, and Back Matter
- Das ist o. B. d. A. trivial! (German Edition) by Albrecht Beutelspacher on page 45, and Back Matter
- Mathematical Delights (Dolciani Mathematical Expositions) by Ross Honsberger in Front Matter
- Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions) by Arthur T. Benjamin in Front Matter
See all 26 books citing this book
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