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Nº de artículo:
17725811
Putnam and Beyond
88% of respondents would recommend this to a friend
Nº de artículo:
17725811
HNL 1940
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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 various theories.
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What Stands Out
Comprehensive Coverage
This edition offers extensive insights into problem-solving strategies, making it an essential resource for students and math enthusiasts who aim to excel in mathematical competitions.
Updated Problems
Includes a wide array of newly introduced problems and solutions, ensuring readers engage with relevant and challenging content that reflects current trends in mathematics.
Authoritative Guidance
Authored by seasoned mathematicians, it provides authoritative explanations and methods, enhancing readers’ understanding of complex concepts and equipping them for competitive environments.
Detalles de producto
- 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 quadratic 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 graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
| Publisher | Springer |
| Publication date | October 3, 2017 |
| Edition | 2nd ed. 2017 |
| Language | English |
| Print length | 868 pages |
| ISBN-10 | 3319589865 |
| ISBN-13 | 978-3319589862 |
| Item Weight | 3.25 pounds (1.47 kg) |
| Dimensions | 7 x 1.75 x 9.75 inches (17.8 x 4.4 x 24.8 cm) |
Who Should Buy?
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Mathematics Competitors
Ideal for students preparing for math competitions like Putnam, enhancing problem-solving skills and advanced mathematical concepts.
-
Mathematics Majors
Perfect for undergraduate math majors seeking deeper insights into problem-solving techniques and higher-level mathematical theories.
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Educators and Tutors
Useful for educators looking to incorporate challenging problems into their curriculum and enhance students' critical thinking abilities.
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Beginner Students
Not suitable for novices in mathematics who may find the advanced problems and concepts overwhelming and difficult to understand.
DESCRIPCIÓN DEL PRODUCTO
About This Item
Introducing the Putnam and Beyond 2nd Edition (2017 Edition) – The Essential Problem-Solving Companion Are you ready to take your math problem-solving skills to new heights? Look no further than the Putnam and Beyond 2nd Edition (2017 Edition). Designed for aspiring mathematicians and students seeking to challenge themselves, this book is the ultimate resource for tackling complex problem-solving. Putnam and Beyond is not just another math book; it is a comprehensive guide that offers a unique collection of problem-solving techniques and strategies. Whether you are preparing for the prestigious Putnam Competition or simply want to sharpen your mathematical problem-solving skills, this book is your go-to companion. Featuring a wide range of mathematical problems, the Putnam and Beyond 2nd Edition (2017 Edition) covers topics such as algebra, geometry, number theory, combinatorics, and more.
With its clear explanations and step-by-step solutions, this book will help you deepen your understanding of mathematical concepts and strengthen your problem-solving skills. What sets this book apart is the emphasis on problem-solving techniques. Each problem is carefully selected to challenge your logical reasoning and critical thinking abilities. Whether you are a beginner or an experienced problem-solver, this book caters to all levels of mathematical proficiency. The Putnam and Beyond 2nd Edition (2017 Edition) also includes a comprehensive solutions manual, providing detailed explanations and insights into each problem.
This manual serves as a valuable learning tool to help you grasp the underlying concepts and master the art of problem-solving. Don't miss out on this invaluable resource for mathematical enthusiasts and students alike. Order your copy of the Putnam and Beyond 2nd Edition (2017 Edition) today and embark on a journey of mathematical discovery and problem-solving excellence. Unleash your full potential and conquer even the most challenging math problems with confidence.
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Algebra Editorial Review
Putnam and Beyond is an essential resource for budding mathematicians, offering a comprehensive collection of over 1000 intriguing problems covering various mathematical topics, making it ideal for preparing for the Putnam Exam and other undergraduate math competitions. While this book is highly regarded for its challenging content, it may not serve as an all-encompassing preparation tool, and some users noted the necessity of having a solid grasp of concepts up to Real Analysis to fully appreciate the material. Readers have noted that the book contains some errors and may require readers to possess both logical thinking skills and a high comfort level with abstract mathematical concepts. Nevertheless, engaging with these problems can significantly enhance mathematical abilities.
Customer Reviews & Ratings
56 valoraciones de los clientes
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ventajas
- Over 1000 intriguing mathematical problems
- Covers a wide spectrum of topics
- Great for enhancing problem-solving skills
- Ideal for Putnam Exam preparation
- Recommended for budding mathematicians
Contras
- Some problems may have incomplete solutions and errors
Product Price History
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características y beneficios
- Covers important concepts and results in college mathematics
- Includes over 1300 problems and examples
- Provides complete solutions to all problems
- Ideal for Putnam exam preparation and problem-solving courses
- Suitable for independent study by undergraduate and graduate students
- Useful for teachers and researchers in physical sciences
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