117 Polynomial Problems from the Awesomemath Summer Program PDF Download
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Author: Titu Andreescu
Publisher:
ISBN: 9780999342848
Category :
Languages : en
Pages : 234
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Book Description
Author: Titu Andreescu
Publisher:
ISBN: 9780999342848
Category :
Languages : en
Pages : 234
Get Book Here
Book Description
Author: Titu Andreescu
Publisher:
ISBN: 9781735831510
Category :
Languages : en
Pages :
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Book Description
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682228
Category : Mathematics
Languages : en
Pages : 125
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Book Description
"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.
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644326
Category : Mathematics
Languages : en
Pages : 222
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Book Description
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644490
Category : Mathematics
Languages : en
Pages : 336
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Book Description
* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
Author: Titu Andreescu
Publisher: Xyz Press
ISBN: 9780979926907
Category : Mathematics
Languages : en
Pages : 0
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Book Description
In this volume they present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths.
Author: Titu Andreescu
Publisher:
ISBN: 9780999342831
Category : Geometry, Algebraic
Languages : en
Pages : 0
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Book Description
As a sequel to 113 Geometric Inequalities from the AwesomeMath Summer Program, this book extends the themes discussed in the former book and broadens a problem-solver's competitive arsenal. Strategies from multiple fields, such as Algebra, Calculus, and pure Geometry provide the reader with varied methods useful in mathematics competitions. Starting with the fundamentals such as the triangle inequality and ""broken lines'', the book progresses increasingly to more sophisticated machinery such as the Averaging Method, Quadratic Forms, Finite Fourier Transforms, Level Curves, the Erdös-Mordell and Brunn-Minkowski Inequalities, as well as the Isoperimetric Theorem, to name a few. Rich theory and generalizations accompany the aforementioned topics to supply the reader with a rigorous exploration of fields associated with geometric inequalities.
Author: Titu Andreescu
Publisher:
ISBN: 9780988562202
Category : Number theory
Languages : en
Pages : 686
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Book Description
Challenge your problem-solving aptitude in number theory with powerful problems that have concrete examples which reflect the potential and impact of theoretical results. Each chapter focuses on a fundamental concept or result, reinforced by each of the subsections, with scores of challenging problems that allow you to comprehend number theory like never before. All students and coaches wishing to excel in math competitions will benefit from this book as will mathematicians and adults who enjoy interesting mathematics.
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817645616
Category : Mathematics
Languages : en
Pages : 214
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Book Description
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.
Author: Titu Andreescu
Publisher:
ISBN: 9780979926938
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This book is a compilation of many suggestions, much advice, and even more hard work. Its main objective is to provide solutions to the problems which were originally proposed in the first 12 chapters of Problems from the Book. The volume is far more than a collection of solutions. The solutions are used as motivation for the introduction of some very clear mathematical expositions. This is absolutely state-of-the-art material. Everyone who loves mathematics and mathematical thinking should acquire this book.
