121 NUMBER THEORY PROBLEMS FOR MATHEMATICS COMPETITIONS

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis 121 NUMBER THEORY PROBLEMS FOR MATHEMATICS COMPETITIONS by : TITU. VENTULLO ANDREESCU (ALESSANDRO.)

Download or read book 121 NUMBER THEORY PROBLEMS FOR MATHEMATICS COMPETITIONS written by TITU. VENTULLO ANDREESCU (ALESSANDRO.) and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problems of Number Theory in Mathematical Competitions

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Publisher : World Scientific
ISBN 13 : 9814271144
Total Pages : 115 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Problems of Number Theory in Mathematical Competitions by : Hong-Bing Yu

Download or read book Problems of Number Theory in Mathematical Competitions written by Hong-Bing Yu and published by World Scientific. This book was released on 2010 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.

104 Number Theory Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645616
Total Pages : 214 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 104 Number Theory Problems by : Titu Andreescu

Download or read book 104 Number Theory Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Index to Mathematical Problems, 1980-1984

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Publisher : MathPro Press
ISBN 13 : 9780962640117
Total Pages : 554 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1980-1984 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1980-1984 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1992 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compendium of over 5,000 problems with subject, keyword, author and citation indexes.

Awesome Math

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Publisher : John Wiley & Sons
ISBN 13 : 1119575737
Total Pages : 294 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Awesome Math by : Titu Andreescu

Download or read book Awesome Math written by Titu Andreescu and published by John Wiley & Sons. This book was released on 2019-12-17 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

250 Problems in Elementary Number Theory

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Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis 250 Problems in Elementary Number Theory by : Wacław Sierpiński

Download or read book 250 Problems in Elementary Number Theory written by Wacław Sierpiński and published by Elsevier Publishing Company. This book was released on 1970 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problem-Solving Strategies

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 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 404 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.

Out of the Labyrinth

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Publisher : Bloomsbury Publishing USA
ISBN 13 : 1608198707
Total Pages : 258 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Out of the Labyrinth by : Ellen Kaplan

Download or read book Out of the Labyrinth written by Ellen Kaplan and published by Bloomsbury Publishing USA. This book was released on 2014-02-04 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Out of the Labyrinth" rejoices in the serious play of mathematics and explains how to think about math as a truly common pursuit... full of fun and full of the wisdom of a lifetime of teaching..."-- Barry Mazur, Gerhard Gade University Professory, Harvard University.

Additive Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387683615
Total Pages : 361 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Additive Number Theory by : David Chudnovsky

Download or read book Additive Number Theory written by David Chudnovsky and published by Springer Science & Business Media. This book was released on 2010-08-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646450
Total Pages : 383 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Number Theory by : Titu Andreescu

Download or read book Number Theory written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary

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Publisher : American Mathematical Soc.
ISBN 13 : 1470451247
Total Pages : 337 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary by : Kiran S. Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary written by Kiran S. Kedlaya and published by American Mathematical Soc.. This book was released on 2020-01-16 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

102 Combinatorial Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682228
Total Pages : 125 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 102 Combinatorial Problems by : Titu Andreescu

Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Ramanujan’s Notebooks

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Publisher : Springer Science & Business Media
ISBN 13 : 1461208793
Total Pages : 459 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Ramanujan’s Notebooks by : Bruce C. Berndt

Download or read book Ramanujan’s Notebooks written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in Ramanujan's second notebook as well as a description of his quarterly reports. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks. For those results that are known, references in the literature are provided. Otherwise, complete proofs are given. Over 1/2 of the results in the notebooks are new. Many of them are so startling and different that there are no results akin to them in the literature.

Excursions in Calculus

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Publisher : American Mathematical Soc.
ISBN 13 : 1470457202
Total Pages : 429 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Excursions in Calculus by : Robert M. Young

Download or read book Excursions in Calculus written by Robert M. Young and published by American Mathematical Soc.. This book was released on 1992-10-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.

Bell Laboratories Talks and Papers

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Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bell Laboratories Talks and Papers by : Bell Telephone Laboratories. Libraries and Information Systems Center

Download or read book Bell Laboratories Talks and Papers written by Bell Telephone Laboratories. Libraries and Information Systems Center and published by . This book was released on 1980 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contests in Higher Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207339
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Contests in Higher Mathematics by : Gabor J. Szekely

Download or read book Contests in Higher Mathematics written by Gabor J. Szekely and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continued Fractions: From Analytic Number Theory to Constructive Approximation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821812009
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Continued Fractions: From Analytic Number Theory to Constructive Approximation by : Bruce C. Berndt

Download or read book Continued Fractions: From Analytic Number Theory to Constructive Approximation written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 1999 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields-from pure mathematics to mathematical physics and approximation theory. Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.