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Mathematics as Problem Solving

Mathematics as Problem Solving


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About the Book

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this new second edition, "Mathematics as Problem Solving". Each new chapter builds off the previous one, enhancing the reader to reach new levels of using logic to solve problems. Every topic is presented in self-contained chapters, offering classical solutions as well as Soifer's own discoveries that he found through his problem-solving experiences. With roughly 200 different problems and multiple proofs for each, the reader is challenged to approach problems from different angles, and in this way can experience the beauty of mathematics. Review from the first edition: "Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a teacher of problem solving and his book, "Mathematics as Problem Solving", is designed to introduce problem solving to the next generation".The American Mathematical Monthly Originally self-published by Alexander Soifer, 1987 at the Center for Excellence in Mathematical Education, Colorado Springs, CO.

Table of Contents:
Language and Some Celebrated Ideas.- Numbers.- Algebra.- Geometry.- Combinatorial Problems.- Chess 7 × 7.- Farewell to the Reader.

Review :
From the reviews: “How does one describe a mathematician? I know no better way than to read this delightful book. For Alexander Soifer has not just written another book about mathematics. He has opened up his heart---and in the process his great love for mathematics, his creative ability, his respect for and skill in teaching, his joy in living all shine through. I invite you to come meet a dear friend and share his exhilaration and insight.”  --- PHILIP L. ENGEL From the reviews of the second edition: “...this book can be the portal that leads the reader into the world of mathematics.”   --- Cristinel Mortici (Targoviste)ür Mathematik, Zentralblatt f  “This is a very readable collection of interesting problems of varying levels of difficulty. … It is so delightfully written that anyone who simply likes working on challenging problems could read it independently. … More than 150 problems are included in this collection. … helpful for an instructor who is looking for ways of integrating problem solving into a particular course, and might be useful for coaching a mathematics competition team. This … book would be a good resource for an instructor or coach." ---Sr. Barbara E. Reynolds, The Mathematical Association of America “The author grew up in the problem solving atmosphere in Moscow and collected about 200 problems from his experience in mathematical clubs, schools, and Olympiads. … Many problems … are discussed in detail and in a way that can be followed easily. So the book can also be recommended to young students.” (H. Humenberger, Monatshefte für Mathematik, Vol. 159 (1-2), January, 2010) “Clearly attractiveness of problems and beauty of solution have been major criteria in the selection for this book. The author devised many of the problems, and his enthusiasm is evident. … I am confident that readers will find this bookto be a valuable showcase for ‘what (pure) mathematics is really like’.” (John Baylis, The Mathematical Gazette, Vol. 95 (532), March, 2011)


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Product Details
  • ISBN-13: 9780387746463
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Edition: Revised edition
  • Language: English
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 0387746463
  • Publisher Date: 28 Apr 2009
  • Binding: Paperback
  • Height: 235 mm
  • No of Pages: 106
  • Returnable: Y


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