The IMO Compendium

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Publisher : Springer Science & Business Media
ISBN 13 : 1441998543
Total Pages : 809 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis The IMO Compendium by : Dušan Djukić

Download or read book The IMO Compendium written by Dušan Djukić and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

The IMO Compendium

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Author :
Publisher : Springer
ISBN 13 : 9781441920270
Total Pages : 0 pages
Book Rating : 4.9/5 (22 download)

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Book Synopsis The IMO Compendium by : Dušan Djukić

Download or read book The IMO Compendium written by Dušan Djukić and published by Springer. This book was released on 2010-11-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the ultimate collection of challenging high-school-level mathematics problems. It is the result of a two year long collaboration to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems in book form for the first time. This book attempts to gather all the problems and solutions appearing on the IMO and contains a grand total of 1900 problems. It is an invaluable resource for high-school students preparing for mathematics competitions, and for anyone who loves math.

50th IMO - 50 Years of International Mathematical Olympiads

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Publisher : Springer Science & Business Media
ISBN 13 : 3642145655
Total Pages : 297 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis 50th IMO - 50 Years of International Mathematical Olympiads by : Hans-Dietrich Gronau

Download or read book 50th IMO - 50 Years of International Mathematical Olympiads written by Hans-Dietrich Gronau and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides an ideal opportunity to look back over the past five decades and to review its development to become a worldwide event. This book is a report about the 50th IMO as well as the IMO history. A lot of data about all the 50 IMOs are included. We list the most successful contestants, the results of the 50 Olympiads and the 112 countries that have ever taken part. It is impressive to see that many of the world’s leading research mathematicians were among the most successful IMO participants in their youth. Six of them gave presentations at a special celebration: Bollobás, Gowers, Lovász, Smirnov, Tao and Yoccoz. This book is aimed at students in the IMO age group and all those who have interest in this worldwide leading competition for highschool students.

IMO Compendium on Facilitation and Electronic Business

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Publisher : IMO Publishing
ISBN 13 : 9789280151121
Total Pages : 58 pages
Book Rating : 4.1/5 (511 download)

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Book Synopsis IMO Compendium on Facilitation and Electronic Business by : International Maritime Organization

Download or read book IMO Compendium on Facilitation and Electronic Business written by International Maritime Organization and published by IMO Publishing. This book was released on 2001 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Olympiad Treasures

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682538
Total Pages : 256 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Olympiad Treasures by : Titu Andreescu

Download or read book Mathematical Olympiad Treasures written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

Pell’s Equation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226028
Total Pages : 220 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Pell’s Equation by : Edward J. Barbeau

Download or read book Pell’s Equation written by Edward J. Barbeau and published by Springer Science & Business Media. This book was released on 2006-05-04 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject.

Euclidean Geometry in Mathematical Olympiads

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Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Books IV to VII of Diophantus’ Arithmetica

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Publisher : Springer Science & Business Media
ISBN 13 : 1461381746
Total Pages : 507 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Books IV to VII of Diophantus’ Arithmetica by : Jacques Sesiano

Download or read book Books IV to VII of Diophantus’ Arithmetica written by Jacques Sesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.

Problem-Solving Strategies

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 403 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

The Pedagogy of Images

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Publisher : University of Toronto Press
ISBN 13 : 1487534663
Total Pages : 569 pages
Book Rating : 4.4/5 (875 download)

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Book Synopsis The Pedagogy of Images by : Marina Balina

Download or read book The Pedagogy of Images written by Marina Balina and published by University of Toronto Press. This book was released on 2021-06-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1920s, with the end of the revolution, the Soviet government began investing resources and energy into creating a new type of book for the first generation of young Soviet readers. In a sense, these early books for children were the ABCs of Soviet modernity; creatively illustrated and intricately designed, they were manuals and primers that helped the young reader enter the field of politics through literature. Children’s books provided the basic vocabulary and grammar for understanding new, post-revolutionary realities, but they also taught young readers how to perceive modern events and communist practices. Relying on a process of dual-media rendering, illustrated books presented propaganda as a simple, repeatable narrative or verse, while also casting it in easily recognizable graphic images. A vehicle of ideology, object of affection, and product of labour all in one, the illustrated book for the young Soviet reader emerged as an important cultural phenomenon. Communist in its content, it was often avant-gardist in its form. Spotlighting three thematic threads – communist goals, pedagogy, and propaganda – The Pedagogy of Images traces the formation of a mass-modern readership through the creation of the communist-inflected visual and narrative conventions that these early readers were meant to appropriate.

Compendium of Maritime Labour Instruments

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Publisher :
ISBN 13 : 9789220320150
Total Pages : 0 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Compendium of Maritime Labour Instruments by :

Download or read book Compendium of Maritime Labour Instruments written by and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The IMO Compendium

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387334300
Total Pages : 749 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis The IMO Compendium by : Dušan Djukić

Download or read book The IMO Compendium written by Dušan Djukić and published by Springer Science & Business Media. This book was released on 2006-06-07 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the ultimate collection of challenging high-school-level mathematics problems. It is the result of a two year long collaboration to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems in book form for the first time. This book attempts to gather all the problems and solutions appearing on the IMO and contains a grand total of 1900 problems. It is an invaluable resource for high-school students preparing for mathematics competitions, and for anyone who loves math.

A Primer for Mathematics Competitions

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Publisher : OUP Oxford
ISBN 13 : 0191561703
Total Pages : 368 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis A Primer for Mathematics Competitions by : Alexander Zawaira

Download or read book A Primer for Mathematics Competitions written by Alexander Zawaira and published by OUP Oxford. This book was released on 2008-10-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum.

Inquiry-Based Enumerative Combinatorics

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Publisher : Springer
ISBN 13 : 3030183084
Total Pages : 238 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Inquiry-Based Enumerative Combinatorics by : T. Kyle Petersen

Download or read book Inquiry-Based Enumerative Combinatorics written by T. Kyle Petersen and published by Springer. This book was released on 2019-06-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function techniques. Beginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. These tools underpin the in-depth study of Eulerian, Catalan, and Narayana numbers that follows, and a selection of advanced topics that includes applications to probability and number theory. Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many of which connect to state-of-the-art research. Inquiry-Based Enumerative Combinatorics is ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites. Because it includes many connections to recent research, students of any level who are interested in combinatorics will also find this a valuable resource.

Magic Squares

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Publisher : Springer
ISBN 13 : 3030179931
Total Pages : 313 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Magic Squares by : Jacques Sesiano

Download or read book Magic Squares written by Jacques Sesiano and published by Springer. This book was released on 2019-05-21 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.

Graph Theory

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Publisher : Springer
ISBN 13 : 331931940X
Total Pages : 291 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Graph Theory by : Ralucca Gera

Download or read book Graph Theory written by Ralucca Gera and published by Springer. This book was released on 2016-10-19 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm. The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.

Putnam and Beyond

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Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.