Old And New Unsolved Problems In Plane Geometry And Number Theory

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Old And New Unsolved Problems In Plane Geometry And Number Theory
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Author : Victor Klee
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-31
Old And New Unsolved Problems In Plane Geometry And Number Theory written by Victor Klee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Education categories.
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Old And New Unsolved Problems In Plane Geometry And Number Theory
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Author : Victor Klee
language : en
Publisher:
Release Date : 1991
Old And New Unsolved Problems In Plane Geometry And Number Theory written by Victor Klee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Basic Analysis
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Author : Kunihiko Kodaira
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Basic Analysis written by Kunihiko Kodaira and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
See blurb for Japanese Grade 10
Unsolved Problems In Number Theory
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Author : Richard Guy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Unsolved Problems In Number Theory written by Richard Guy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ouselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics itself and from the increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution of a problem may stifte interest in the area around it. But "Fermat 's Last Theorem", because it is not yet a theorem, has generated a great deal of "good" mathematics, whether goodness is judged by beauty, by depth or by applicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even if we don't live long enough to learn the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, "unsolved" problems may not be unsolved at all, or than was at first thought.
Philosophy Of Mathematics
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Author : James Robert Brown
language : en
Publisher: Routledge
Release Date : 2005-08-09
Philosophy Of Mathematics written by James Robert Brown and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-09 with Philosophy categories.
Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs and Wittgenstein * computation, proof and conjecture. The book is ideal for courses on philosophy of mathematics and logic.
Combinatorial Image Analysis
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Author : Petra Wiederhold
language : en
Publisher: Springer
Release Date : 2009-11-18
Combinatorial Image Analysis written by Petra Wiederhold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-18 with Computers categories.
This volume constitutes the refereed proceedings of the 13th International Workshop on Combinatorial Image Analysis, IWCIA 2009, held in Playa del Carmen, Mexico, in November 2009. The 32 revised full papers and one invited paper presented were carefully reviewed and selected from 70 initial submissions. The papers are organized in topical sections on digital geometry: curves, straightness, convexity, geometric transformations, metrics, distance transforms and skeletons, segmentation, thinning, skeletonization, image representation, processing, analysis, reconstruction and recognition, digital tomography, image models based on geometry, combinatorics, arithmetics, algebra, mathematical morphology, topology and grammars, as well as digital topology and its applications to image modeling and analysis.
Professor Stewart S Incredible Numbers
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Author : Ian Stewart
language : en
Publisher: Profile Books
Release Date : 2015-03-19
Professor Stewart S Incredible Numbers written by Ian Stewart and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-19 with Mathematics categories.
Ian Stewart explores the astonishing properties of numbers from 1 to 10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's Cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.
The Colorado Mathematical Olympiad And Further Explorations
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Author : Alexander Soifer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-11
The Colorado Mathematical Olympiad And Further Explorations written by Alexander Soifer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with Mathematics categories.
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.
Usa And International Mathematical Olympiads 2004
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Author : Titu Andreescu
language : en
Publisher: MAA
Release Date : 2005
Usa And International Mathematical Olympiads 2004 written by Titu Andreescu and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olypiad (IMO), have been published annually since 1976. The IMO is the world mathematics championship for high school students. It takes place every year in a different country. The IMO competitions help to discover, challenge, and encourage mathematically gifted young people all over the world. In addition to presenting their own carefully written solutions to the problems presented here, the editors have provided remarkable solutions developed by the examination committees, contestants, and experts, during and after the contests. They also provide a comprehensive guide to other materials on advances problem-solving. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics outside the school curriculum and to deepen their knowledge of mathematics.
Problem Solving Strategies For Efficient And Elegant Solutions Grades 6 12
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Author : Alfred S. Posamentier
language : en
Publisher: Corwin Press
Release Date : 2008-03-20
Problem Solving Strategies For Efficient And Elegant Solutions Grades 6 12 written by Alfred S. Posamentier and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-20 with Education categories.
This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.