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Hungarian Problem Book Iii


Hungarian Problem Book Iii
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Hungarian Problem Book Iii


Hungarian Problem Book Iii
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Author : György Hajós
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-09

Hungarian Problem Book Iii written by György Hajós and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-09 with Education categories.


This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students, from 1929 to 1943. The competition is the oldest in the world, and started in 1894. Two earlier volumes in this series contain the papers up to 1928, and further volumes are planned. The current edition adds a lot of background material which is helpful for solving the problems therein and beyond. Multiple solutions to each problem are exhibited, often with discussions of necessary background material or further remarks. This feature will increase the appeal of the book to experienced mathematicians as well as the beginners for whom it is primarily intended.



Hungarian Problem


Hungarian Problem
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Author : Chiang-Fung Andrew Liu
language : en
Publisher:
Release Date : 2001

Hungarian Problem written by Chiang-Fung Andrew Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




Hungarian Problem Book Iii


Hungarian Problem Book Iii
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Author : Andrew Chiang-Fung Liu
language : en
Publisher:
Release Date : 2001

Hungarian Problem Book Iii written by Andrew Chiang-Fung Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students, from 1929 to 1943. The competition is the oldest in the world, and started in 1894. Two earlier volumes in this series contain the papers up to 1928, and further volumes are planned. The current edition adds a lot of background material which is helpful for solving the problems therein and beyond. Multiple solutions to each problem are exhibited, often with discussions of necessary background material or further remarks. This feature will increase the appeal of the book to experienced mathematicians as well as the beginners for whom it is primarily intended.



Hungarian Problem Book Iv


Hungarian Problem Book Iv
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Author : Robert Barrington Leigh
language : en
Publisher: MAA
Release Date : 2011

Hungarian Problem Book Iv written by Robert Barrington Leigh and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Education categories.


Forty-eight challenging problems from the oldest high school mathematics competition in the world. This book is a continuation of Hungarian Problem Book III and takes the contest from 1944 through to 1963. This book is intended for beginners, although the experienced student will find much here.



The Contest Problem Book Iii


The Contest Problem Book Iii
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Author : Charles T. Salkind
language : en
Publisher: MAA Press
Release Date : 1973

The Contest Problem Book Iii written by Charles T. Salkind and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.


The annual high school contests have been sponsored since 1950 by the Mathematical association of America and the Society of Actuaries, and more recently by Mu Alpha Theta (1965), the National Council of Teachers of Mathematics (1967) and the Casualty Actuarial Society (1971). Problems from the contests during the period 1950-1960 are published in Volume 5 of the New Mathematical Library, and those for 1961-1965 are published in Volume 17. The New Mathematical Library will continue to publish these contest problems from time-to-time; the present volume contains those from the period 1966-1972. The questions were compiled by Professor C.T. Salkind until his death, and since 1968 by Professor J.M. Earl, who died on November 25, 1972 after submitting problems for the 1973 contest. Professors Earl and Salkind also prepared the solutions for the contest problems. In preparing this and the earlier Contest Problem Books the editors of the NML have expanded these solutions and added alternative solutions.



Contests In Higher Mathematics


Contests In Higher Mathematics
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Author : Gabor J. Szekely
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Contests In Higher Mathematics written by Gabor J. Szekely 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 2012-12-06 with Mathematics categories.


One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.



Portal Through Mathematics Journey To Advanced Thinking


Portal Through Mathematics Journey To Advanced Thinking
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Author : O. A. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-10-09

Portal Through Mathematics Journey To Advanced Thinking written by O. A. Ivanov 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 2019-10-09 with Education categories.


Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. Portal through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.



Geometric Transformations Iv


Geometric Transformations Iv
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Author : I. M. Yaglom
language : en
Publisher: MAA
Release Date : 2009-10-15

Geometric Transformations Iv written by I. M. Yaglom and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-15 with Mathematics categories.


The familiar plane geometry of high school figures composed of lines and circles takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. This book is the concluding Part IV of Geometric Transformations, but it can be studied independently of Parts I, II, and III, which appeared in this series as Volumes 8, 21, and 24. Part I treats the geometry of rigid motions of the plane (isometries); Part II treats the geometry of shape-preserving transformations of the plane (similarities); Part III treats the geometry of transformations of the plane that map lines to lines (affine and projective transformations) and introduces the Klein model of non-Euclidean geometry. The present Part IV develops the geometry of transformations of the plane that map circles to circles (conformal or anallagmatic geometry). The notion of inversion, or reflection in a circle, is the key tool employed. Applications include ruler-and-compass constructions and the Poincar model of hyperbolic geometry. The straightforward, direct presentation assumes only some background in high-school geometry and trigonometry. Numerous exercises lead the reader to a mastery of the methods and concepts. The second half of the book contains detailed solutions of all the problems.



The Mathematics Of Games And Gambling


The Mathematics Of Games And Gambling
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Author : Edward Packel
language : en
Publisher: American Mathematical Society
Release Date : 2022-01-19

The Mathematics Of Games And Gambling written by Edward Packel and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-19 with Mathematics categories.


The first edition of this book was reprinted eight times. This book introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing, etc.) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: sports betting and the mathematics behind it; Game theory applied to bluffing in poker and related to the Texas Holdem phenomenon; The Nash equilibrium concept and its emergence in the popular culture; Internet links to games and to Java applets for practice and classroom use. The only formal mathematics background the reader needs is some facility with high school algebra. Game-related exercises are included at the end of most chapters for readers interested in working with and expanding ideas treated in the text. Solutions to some of the exercises appear at the end of the book.



Exercises In Mathematical Style


Exercises In Mathematical Style
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Author : John McCleary
language : en
Publisher: The Mathematical Association of America
Release Date : 2017-05-17

Exercises In Mathematical Style written by John McCleary and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Mathematics categories.


Hover over the image to zoom. Click the image for a popup.Email a Friend About This ItemLogin to Submit a Review inShare John McCleary In Exercises in (Mathematical) Style, the author investigates the world of that familiar set of numbers, the binomial coefficients. While the reader learns some of the properties, relations, and generalizations of the numbers of Pascal's triangle, each story explores a different mode of discourse - from arguing algebraically, combinatorially, geometrically, or by induction, contradiction, or recursion to discovering mathematical facts in poems, music, letters, and various styles of stories. The author follows the example of Raymond Queneau's Exercises in Style, giving the reader 99 stories in various styles. The ubiquitous nature of binomial coefficients leads the tour through combinatorics, number theory, algebra, analysis, and even topology. The book celebrates the joy of writing and the joy of mathematics, found by engaging the rich properties of this simple set of numbers.