Purple Comet Math Meet


Purple Comet Math Meet
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Purple Comet Math Meet


Purple Comet Math Meet
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Author : Titu Andreescu
language : en
Publisher:
Release Date : 2013

Purple Comet Math Meet written by Titu Andreescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


This book is a comprehensive compilation of all the problems and solutions from the 2003 to 2012 Purple Comet Math Meet contests for middle and high school students. The problems featured not only employ an extensive range of mathematical concepts from algebra, geometry, number theory, and combinatorics but also encourage team collaboration. Any student interested in mathematics--whether looking to prepare for contests or, even more importantly, to sharpen math problem-solving skills--would cherish and enjoy this unique and pertinent collection of meaningful problems and solutions.



Purple Comet Math Meet


Purple Comet Math Meet
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Author : Titu Andreescu
language : en
Publisher:
Release Date : 2022-03

Purple Comet Math Meet written by Titu Andreescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03 with categories.




Putnam And Beyond


Putnam And Beyond
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Author : Răzvan Gelca
language : en
Publisher: Springer
Release Date : 2017-09-19

Putnam And Beyond written by Răzvan Gelca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.


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 Olympiad Treasures


Mathematical Olympiad Treasures
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-21

Mathematical Olympiad Treasures written by Titu Andreescu 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 2011-09-21 with Mathematics categories.


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.



Mathematical Olympiad Challenges


Mathematical Olympiad Challenges
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-26

Mathematical Olympiad Challenges written by Titu Andreescu 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 2000-04-26 with Mathematics categories.


A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.



Writing Proofs In Analysis


Writing Proofs In Analysis
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Author : Jonathan M. Kane
language : en
Publisher: Springer
Release Date : 2016-05-28

Writing Proofs In Analysis written by Jonathan M. Kane and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-28 with Mathematics categories.


This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand.



Problems From The Book


Problems From The Book
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Author : Titu Andreescu
language : en
Publisher: Xyz Press
Release Date : 2010

Problems From The Book written by Titu Andreescu and has been published by Xyz Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


In this volume they present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths.



Geometric Problems On Maxima And Minima


Geometric Problems On Maxima And Minima
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31

Geometric Problems On Maxima And Minima written by Titu Andreescu 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 2007-12-31 with Mathematics categories.


Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts



Mathematical Bridges


Mathematical Bridges
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Author : Titu Andreescu
language : en
Publisher: Birkhäuser
Release Date : 2017-02-17

Mathematical Bridges written by Titu Andreescu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-17 with Mathematics categories.


Building bridges between classical results and contemporary nonstandard problems, this highly relevant work embraces important topics in analysis and algebra from a problem-solving perspective. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and motivated mathematics students from high school juniors to college seniors will find the work a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students with an interest in mathematics competitions must have this book in their personal libraries.



Topics In Functional Equations


Topics In Functional Equations
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Author : Titu Andreescu
language : en
Publisher:
Release Date : 2020-01-15

Topics In Functional Equations written by Titu Andreescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with categories.