Fifty Lectures For American Mathematics Competitions Problems

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Fifty Lectures for American Mathematics Competitions

Author : Jane Chen
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781470194086
Total Pages : 0 pages
Book Rating : 4.1/5 (94 download)

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Book Synopsis Fifty Lectures for American Mathematics Competitions by : Jane Chen

Download or read book Fifty Lectures for American Mathematics Competitions written by Jane Chen and published by Createspace Independent Publishing Platform. This book was released on 2013-01-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the books in this series are primarily designed for AMC competitors, they contain the most essential and indispensable concepts used throughout middle and high school mathematics. Some featured topics include key concepts such as equations, polynomials, exponential and logarithmic functions in Algebra, various synthetic and analytic methods used in Geometry, and important facts in Number Theory. The topics are grouped in lessons focusing on fundamental concepts. Each lesson starts with a few solved examples followed by a problem set meant to illustrate the content presented. At the end, the solutions to the problems are discussed with many containing multiple methods of approach. I recommend these books to not only contest participants, but also to young, aspiring mathletes in middle school who wish to consolidate their mathematical knowledge. I have personally used a few of the books in this collection to prepare some of my students for the AMC contests or to form a foundation for others. By Dr. Titu Andreescu US IMO Team Leader (1995 - 2002) Director, MAA American Mathematics Competitions (1998 - 2003) Director, Mathematical Olympiad Summer Program (1995 - 2002) Coach of the US IMO Team (1993 - 2006) Member of the IMO Advisory Board (2002 - 2006) Chair of the USAMO Committee (1996 - 2004) I love this book! I love the style, the selection of topics and the choice of problems to illustrate the ideas discussed. The topics are typical contest problem topics: divisors, absolute value, radical expressions, Veita's Theorem, squares, divisibility, lots of geometry, and some trigonometry. And the problems are delicious. Although the book is intended for high school students aiming to do well in national and state math contests like the American Mathematics Competitions, the problems are accessible to very strong middle school students. The book is well-suited for the teacher-coach interested in sets of problems on a given topic. Each section begins with several substantial solved examples followed by a varied list of problems ranging from easily accessible to very challenging. Solutions are provided for all the problems. In many cases, several solutions are provided. By Professor Harold Reiter Chair of MATHCOUNTS Question Writing Committee. Chair of SAT II Mathematics committee of the Educational Testing Service Chair of the AMC 12 Committee (and AMC 10) 1993 to 2000.

Fifty Lectures for American Invitational Mathematics Examination (Aime)

Author : Yongcheng Chen
Publisher : CreateSpace
ISBN 13 : 9781499298536
Total Pages : 262 pages
Book Rating : 4.2/5 (985 download)

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Book Synopsis Fifty Lectures for American Invitational Mathematics Examination (Aime) by : Yongcheng Chen

Download or read book Fifty Lectures for American Invitational Mathematics Examination (Aime) written by Yongcheng Chen and published by CreateSpace. This book was released on 2014-10-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions. Topics include: Solid Geometry - Cube and Prism Solid Geometry - Tetrahedron Counting with Solid Geometry Plane Geometry Similar Triangles Plane Geometry Area and Area Method Plane Geometry Menelaus and Ceva Algebraic Manipulations Logarithms Solving Equations Cauchy Inequalities

50th IMO - 50 Years of International Mathematical Olympiads

Author : Hans-Dietrich Gronau
Publisher : Springer Science & Business Media
ISBN 13 : 3642145655
Total Pages : 298 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 298 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.

Fifty Challenging Problems in Probability with Solutions

Author : Frederick Mosteller
Publisher : Courier Corporation
ISBN 13 : 0486134962
Total Pages : 100 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Fifty Challenging Problems in Probability with Solutions by : Frederick Mosteller

Download or read book Fifty Challenging Problems in Probability with Solutions written by Frederick Mosteller and published by Courier Corporation. This book was released on 2012-04-26 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Competition Math for Middle School

Author : Jason Batteron
Publisher :
ISBN 13 : 9781934124208
Total Pages : pages
Book Rating : 4.1/5 (242 download)

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Book Synopsis Competition Math for Middle School by : Jason Batteron

Download or read book Competition Math for Middle School written by Jason Batteron and published by . This book was released on 2011-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The William Lowell Putnam Mathematical Competition 1985-2000

Author : Kiran Sridhara Kedlaya
Publisher : MAA
ISBN 13 : 9780883858073
Total Pages : 360 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 1985-2000 by : Kiran Sridhara Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 1985-2000 written by Kiran Sridhara Kedlaya and published by MAA. This book was released on 2002 with total page 360 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.

American Invitational Mathematics Examination (Aime) Preparation

Author : Yongcheng Chen
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781534980969
Total Pages : 148 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis American Invitational Mathematics Examination (Aime) Preparation by : Yongcheng Chen

Download or read book American Invitational Mathematics Examination (Aime) Preparation written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2014-10-25 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions. In the book, each chapter has three parts: (1) knowledge part talking about theorems, formulas, and skills with examples, (2) problems, (3) solutions to the problems. Topics include: Solid Geometry - Cube and Prism Plane Geometry Similar Triangles Algebraic Manipulations Solving Equations Cauchy Inequalities

Putnam and Beyond

Author : Răzvan Gelca
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.

Mathematical Problems and Puzzles

Author : S. Straszewicz
Publisher : Elsevier
ISBN 13 : 1483280314
Total Pages : 376 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problems and Puzzles by : S. Straszewicz

Download or read book Mathematical Problems and Puzzles written by S. Straszewicz and published by Elsevier. This book was released on 2014-06-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular Lectures in Mathematics, Volume 12: Mathematical Problems and Puzzles: From the Polish Mathematical Olympiads contains sample problems from various fields of mathematics, including arithmetic, algebra, geometry, and trigonometry. The contest for secondary school pupils known as the Mathematical Olympiad has been held in Poland every year since 1949/50. This book is composed of two main parts. Part I considers the problems and solutions about integers, polynomials, algebraic fractions and irrational experience. Part II focuses on the problems of geometry and trigonometric transformation, along with their solutions. The provided solutions aim to extend the student's knowledge of mathematics and train them in mathematical thinking. This book will prove useful to secondary school mathematics teachers and students.

The Banach–Tarski Paradox

Author : Grzegorz Tomkowicz
Publisher : Cambridge University Press
ISBN 13 : 1107042593
Total Pages : 367 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Banach–Tarski Paradox by : Grzegorz Tomkowicz

Download or read book The Banach–Tarski Paradox written by Grzegorz Tomkowicz and published by Cambridge University Press. This book was released on 2016-06-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.

The Last Lecture

Author : Randy Pausch
Publisher :
ISBN 13 : 9780340978504
Total Pages : 0 pages
Book Rating : 4.9/5 (785 download)

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Book Synopsis The Last Lecture by : Randy Pausch

Download or read book The Last Lecture written by Randy Pausch and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, a computer science professor diagnosed with terminal cancer, explores his life, the lessons that he has learned, how he has worked to achieve his childhood dreams, and the effect of his diagnosis on him and his family.

Structure and Randomness

Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886281
Total Pages : 316 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Structure and Randomness by : Terence Tao

Download or read book Structure and Randomness written by Terence Tao and published by American Mathematical Soc.. This book was released on with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article.

What's Happening in the Mathematical Sciences

Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Mathematical Omnibus

Author : D. B. Fuks
Publisher : American Mathematical Soc.
ISBN 13 : 0821843168
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Omnibus by : D. B. Fuks

Download or read book Mathematical Omnibus written by D. B. Fuks and published by American Mathematical Soc.. This book was released on 2007 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

Mathematical Circle Diaries, Year 1

Author : Anna Burago
Publisher : American Mathematical Soc.
ISBN 13 : 0821887459
Total Pages : 355 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Circle Diaries, Year 1 by : Anna Burago

Download or read book Mathematical Circle Diaries, Year 1 written by Anna Burago and published by American Mathematical Soc.. This book was released on 2013 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early middle school is a great time for children to start their mathematical circle education. This time is a period of curiosity and openness to learning. The thinking habits and study skills acquired by children at this age stay with them for a lifetime. Mathematical circles, with their question-driven approach and emphasis on creative problem-solving, have been rapidly gaining popularity in the United States. The circles expose children to the type of mathematics that stimulates development of logical thinking, creativity, analytical abilities and mathematical reasoning. These skills, while scarcely touched upon at school, are in high demand in the modern world. This book contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The curriculum, which is based on the rich and long-standing Russian math circle tradition, has been modified and adapted for teaching in the United States. For the past decade, the author has been actively involved in teaching a number of mathematical circles in the Seattle area. This book is based on her experience and on the compilation of materials from these circles. The material is intended for students in grades 5 to 7. It can be used by teachers and parents with various levels of expertise who are interested in teaching mathematics with the emphasis on critical thinking. Also, this book will be of interest to mathematically motivated children. 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.

A Decade of the Berkeley Math Circle

Author : Zvezdelina Stankova
Publisher : American Mathematical Soc.
ISBN 13 : 0821846833
Total Pages : 346 pages
Book Rating : 4.8/5 (218 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.