Number Theory: Structures, Examples, and Problems - Hardcover

Andreescu, Titu; Andrica, Dorin

Hardcover

ISBN 10: 081763245X ISBN 13: 9780817632458

Verlag: Birkhäuser, 2009

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From the reviews:

“Number theory is a very important field in mathematics, with many applications in theoretical physics, cryptography and so on. The present book of problems with solutions is a wonderful selection of the basic ideas in this field. ... Both authors are outstanding specialists in this field ... . This textbook contains eleven chapters with problems and solutions. ... This material is very useful for high school students, undergraduate and graduate students, teachers and all lovers of mathematics.” (Carnelia Bejan, IASI Polytechnic Magazine, Vol. 22 (1/4), March-December, 2010)

“This is a collection of elementary number theory problems taken mainly from mathematical olympiads and other contests held in different countries, mainly in recent years. ... This makes the book a useful source of material for tests, homeworks, projects, and classroom discussion. ... The book is a welcome addition to the library of Problem Books, and will undoubtedly prove valuable to coaches and teams involved in mathematical competitions as well as to university instructors and students.” (Mowaffaq Hajja, Zentralblatt MATH, Vol. 1182, 2010)

"The book is a collection of number theory problems chosen from various national and international Mathematical Olympiads. ... Each chapter of this book starts a brief ... review of concepts, with various solved examples, mainly selected from Olympiad exams. ... The book could be used as a text for undergraduates ... . The main audience will consist of Olympiad-level students ... . I recommend this friendly volume for students looking for challenging problems in number theory and teachers of number theory for undergraduates ... ." (Mehdi Hassani, The Mathematical Association of America, June, 2009)

Reseña del editor:

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. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

Über diese Auflage

• Verlag: Birkhäuser
• Erscheinungsdatum: 2009
• ISBN 10: 081763245X
• ISBN 13: 9780817632458
• Einband: Tapa dura
• Anzahl der Seiten: 404