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Number Theory: Structures, Examples, and Problems
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This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving.
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Produktdetaljer
- Problem-solving approach to number theory
- Covers essentials such as divisibility and unique factorization
- Includes topics like modular arithmetic, Diophantine equations, and special numbers
- Emphasizes examples and applications to engage readers
- Discusses mathematical induction and the pigeonhole principle
- Provides a framework of examples and problems for solving
| Publisher | Birkhu00e4user |
| Publication date | March 11, 2009 |
| Edition | 2009th |
| Language | English |
| ISBN-10 | 081763245X |
| ISBN-13 | 978-0817632458 |
| Item Weight | 1.54 pounds (700 grams) |
| Dimensions | 6.25 x 1 x 9.5 inches (15.9 x 2.5 x 24.1 cm) |
Hvem bør købe?
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University Students
Ideal for undergraduate students studying mathematics, particularly those focused on number theory and its applications.
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Math Enthusiasts
Great for individuals who have a strong interest in mathematics and wish to deepen their understanding of number theory.
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Educators
Useful resource for teachers looking for structured examples and problems to enhance their number theory curriculum.
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Beginners
Not suitable for those with no prior knowledge of mathematics, as concepts may be too advanced without a foundation.
Produktbeskrivelse
Number Theory: Structures, Examples, and Problems
About This Item
Are you a math enthusiast interested in exploring the fascinating field of number theory? Look no further than "Number Theory: Structures, Examples, and Problems 2009th Edition." This comprehensive textbook is designed to introduce you to the fundamental concepts of number theory and provide you with a range of challenging problems to solve. Written by renowned specialists in the field, this book is a valuable resource for high school students, undergraduate and graduate students, teachers, and anyone with a love for mathematics. It covers eleven chapters with a wide variety of problems and their solutions. Each chapter begins with a concise review of essential concepts, followed by carefully selected examples, many of which are taken from Olympiad exams. This helps you gain a solid understanding of the topic and its applications. The book covers important topics such as divisibility, unique factorization, modular arithmetic, Diophantine equations, quadratic residues, binomial coefficients, and special sequences.
It also delves into mathematical induction, the pigeonhole principle, and other number systems. With its problem-solving approach, "Number Theory: Structures, Examples, and Problems" will challenge and stimulate your mathematical thinking. It can be used as a textbook for undergraduates studying number theory or as a source of material for tests, homework, and classroom discussions. Whether you are a seasoned Olympiad-level student or a beginner eager to explore number theory, this book is an essential addition to your mathematics library. Embark on a journey through the captivating world of number theory with this friendly and engaging volume.
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Algebra Editorial Review
Number Theory: Structures, Examples, and Problems is a well-crafted academic resource published by Birkhäuser on March 11, 2009. This book, in its 2009 edition, delves into the intricacies of number theory, offering structures, examples, and numerous problems to enhance comprehension. It weighs about 1.54 pounds and features convenient dimensions of 6.25 x 1 x 9.5 inches, making it suitable for both study and reference. Though reviews are not present, this text has been recognized for its clarity and thorough explanations, solidifying its place in the field of mathematics education.
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Fordele
- Comprehensive coverage of number theory concepts
- Well-structured with examples and problems
- High-quality publication by a reputable publisher
- User-friendly dimensions for easy handling
- Suitable for both students and educators
Ulemper
- Occasional complex topics may require additional resources
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Egenskaber og fordele
- Problem-solving approach taken to number theory
- Each concept situated within an example or problem
- Covers essentials such as unique factorization and modular arithmetic
- Sections on mathematical induction and other number systems
- Emphasizes examples and applications to motivate readers
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