Download or read book Proofs in Competition Math Volume 2 written by Alexander Toller and published by Lulu.com. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proofs in Competition Math Volume 1 written by Alexander Toller and published by Lulu.com. This book was released on with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Concepts in Competitive Mathematics written by Zachary M. Boazman and published by Zachary Boazman. This book was released on 2010-05-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Index.
Download or read book Introduction to Mathematical Structures and Proofs written by Larry Gerstein and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.
Download or read book Competition Math for Elementary School written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2015-11-04 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be used by students in grades 3-5: (1) who seek material more challenging than they typically encounter in their math classroom, and (2) who would like to build a solid problem solving foundation for future math competitions such as AMC 8, Mathcounts, and other math competitions. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) exercise problems, and (3) detailed solutions to all exercise problems.
Download or read book Math Leads for Mathletes written by Titu Andreescu and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics contained in this book are best suited for advanced fourth and fifth graders as well as for extremely talented third graders or for anyone preparing for AMC 8 or similar mathematics contests. The concepts and problems presented could be used as an enrichment material by teachers, parents, math coaches, or in math clubs and circles.
Download or read book The Art of Problem Solving pt 2 And beyond solutions manual written by Sandor Lehoczky and published by Mitchell Beazley. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
Download or read book Competition Math for Elementary School written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2016-01-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be used by students in grades 3-5: (1) who seek material more challenging than they typically encounter in their math classroom, and (2) who would like to build a solid problem solving foundation for future math competitions such as AMC 8, Mathcounts, and other math competitions. Each chapter consists of (1) basic skill and knowledge with plenty of examples, (2) exercise problems, and (3) detailed solutions to all exercise problems.
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:
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
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.
Download or read book The Stanford Mathematics Problem Book written by George Polya and published by Courier Corporation. This book was released on 2013-04-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Download or read book Math Competition Questions 2 written by Joel Lopez and published by Createspace Independent Publishing Platform. This book was released on 2018-07-09 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math competition book level-2 is a developmental practice question textfor all students who which to prepare for math contest. There are 1000practice questions. Which book to develop and improve students practiceskills.Math Competition Questions are challenge student in grade 4 and 5. Thisbook level is two. Variety of challenge problems that include easy, mediumand hard math problems cover. In this book you see different questions.However math competition question book are great starting point to trainstudents for math competition. This book is good for elementary schoolstudents who wants extra practice prepare for math contest. This bookinclude 1000 is very much interested in doing the questions.I hope you have been enjoyed these book.
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.
Download or read book Geometry The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Download or read book Engaging Young Students In Mathematics Through Competitions World Perspectives And Practices Volume Ii Mathematics Competitions And How They Relate To Research Teaching And Motivation written by Geretschlager Robert and published by World Scientific. This book was released on 2020-04-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Substitution Method written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2017-07-18 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth book of Math Contest Books Series. The book introduces the substitution method. The book can be used by students preparing for math competitions such as Mathcounts, AMC 8/10/12, and AIME. Each chapter consists of (1) basic skill and knowledge section with examples, (2) exercise problems, and (3) detailed solutions to all problems. 9th book: Problem Solving Using Auxiliary Lines https: //www.amazon.com/dp/1975681754 10th book: https: //www.amazon.com/Problem-Solving-Using-Vietas-Theorem/dp/1542800056
