The Colorado Mathematical Olympiad and Further Explorations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387754717
Total Pages : 418 pages
Book Rating : 4.10/5 ( download)

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Book Synopsis The Colorado Mathematical Olympiad and Further Explorations by : Alexander Soifer

Download or read book The Colorado Mathematical Olympiad and Further Explorations written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2011-04-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorations gives the interesting history of the competition as well as an outline of all the problems and solutions that have been created for the contest over the years. Many of the essay problems were inspired by Russian mathematical folklore and written to suit the young audience; for example, the 1989 Sugar problem was written in a pleasant Lewis Carroll-like story. Some other entertaining problems involve olde Victorian map colourings, King Authur and the knights of the round table, rooks in space, Santa Claus and his elves painting planes, football for 23, and even the Colorado Springs subway system.

The Colorado Mathematical Olympiad: The Third Decade and Further Explorations

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Author :
Publisher : Springer
ISBN 13 : 3319528610
Total Pages : 259 pages
Book Rating : 4.18/5 ( download)

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Book Synopsis The Colorado Mathematical Olympiad: The Third Decade and Further Explorations by : Alexander Soifer

Download or read book The Colorado Mathematical Olympiad: The Third Decade and Further Explorations written by Alexander Soifer and published by Springer. This book was released on 2017-04-27 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year. This book presents a year-by-year history of the CMO from 2004–2013 with all the problems from the competitions and their solutions. Additionally, the book includes 10 further explorations, bridges from solved Olympiad problems to ‘real’ mathematics, bringing young readers to the forefront of various fields of mathematics. This book contains more than just problems, solutions, and event statistics — it tells a compelling story involving the lives of those who have been part of the Olympiad, their reminiscences of the past and successes of the present. I am almost speechless facing the ingenuity and inventiveness demonstrated in the problems proposed in the third decade of these Olympics. However, equally impressive is the drive and persistence of the originator and living soul of them. It is hard for me to imagine the enthusiasm and commitment needed to work singlehandedly on such an endeavor over several decades. —Branko Grünbaum, University of Washingtonp/ppiAfter decades of hunting for Olympiad problems, and struggling to create Olympiad problems, he has become an extraordinary connoisseur and creator of Olympiad problems. The Olympiad problems were very good, from the beginning, but in the third decade the problems have become extraordinarily good. Every brace of 5 problems is a work of art. The harder individual problems range in quality from brilliant to work-of-genius... The same goes for the “Further Explorations” part of the book. Great mathematics and mathematical questions are immersed in a sauce of fascinating anecdote and reminiscence. If you could have only one book to enjoy while stranded on a desert island, this would be a good choice. /ii/i/psup/supp/ppiLike Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph./ii/i/pp— Cecil Rousseau Chair, USA Mathematical Olympiad Committee/ppiA delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved./ii/i/pp—Paul Erdős/ppiThe book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise./i/p —Martin Gardner

Colorado Mathematical Olympiad

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Author :
Publisher : Center for Excellence in Education
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.60/5 ( download)

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Book Synopsis Colorado Mathematical Olympiad by : Alexander Soifer

Download or read book Colorado Mathematical Olympiad written by Alexander Soifer and published by Center for Excellence in Education. This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Coloring Book

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Publisher : Springer Science & Business Media
ISBN 13 : 0387746420
Total Pages : 619 pages
Book Rating : 4.25/5 ( download)

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Book Synopsis The Mathematical Coloring Book by : Alexander Soifer

Download or read book The Mathematical Coloring Book written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2008-10-13 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.

Mathematics as Problem Solving

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Publisher : Springer Science & Business Media
ISBN 13 : 0387746463
Total Pages : 120 pages
Book Rating : 4.63/5 ( download)

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Book Synopsis Mathematics as Problem Solving by : Alexander Soifer

Download or read book Mathematics as Problem Solving written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Ramsey Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817680926
Total Pages : 199 pages
Book Rating : 4.23/5 ( download)

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Book Synopsis Ramsey Theory by : Alexander Soifer

Download or read book Ramsey Theory written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.

A Decade of the Berkeley Math Circle

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846833
Total Pages : 346 pages
Book Rating : 4.34/5 ( download)

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Book Synopsis A Decade of the Berkeley Math Circle by : Zvezdelina Stankova

Download or read book A Decade of the Berkeley Math Circle written by Zvezdelina Stankova and published by American Mathematical Soc.. This book was released on 2008-11-26 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Leningrad Mathematical Olympiads 1987-1991

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Author :
Publisher : MathPro Press
ISBN 13 : 9780962640148
Total Pages : 228 pages
Book Rating : 4.4X/5 ( download)

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Book Synopsis Leningrad Mathematical Olympiads 1987-1991 by : Dmitriĭ Vladimirovich Fomin

Download or read book Leningrad Mathematical Olympiads 1987-1991 written by Dmitriĭ Vladimirovich Fomin and published by MathPro Press. This book was released on 1994 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How Does One Cut a Triangle?

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Publisher : Springer Science & Business Media
ISBN 13 : 0387746528
Total Pages : 189 pages
Book Rating : 4.24/5 ( download)

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Book Synopsis How Does One Cut a Triangle? by : Alexander Soifer

Download or read book How Does One Cut a Triangle? written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2009-08-25 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Alexander Soifer’s How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. The author employs geometry, algebra, trigonometry, linear algebra, and rings to develop a miniature model of mathematical research.

Research Problems in Discrete Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387238158
Total Pages : 507 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis Research Problems in Discrete Geometry by : Peter Brass

Download or read book Research Problems in Discrete Geometry written by Peter Brass and published by Springer Science & Business Media. This book was released on 2006-06-19 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.