Number Theory: Structures, Examples, and Problems

Valutazione media 4,54
( su 28 valutazioni fornite da GoodReads )
 
9780817632458: Number Theory: Structures, Examples, and Problems

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Book Description:

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)

About the Author:

Titu Andreescu received his Ph.D. from the West University of Timisoara, Romania. The topic of his dissertation was "Research on Diophantine Analysis and Applications." Professor Andreescu currently teaches at The University of Texas at Dallas. He is past chairman of the USA Mathematical Olympiad, served as director of the MAA American Mathematics Competitions (1998–2003), coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002), director of the Mathematical Olympiad Summer Program (1995–2002), and leader of the USA IMO Team (1995–2002). In 2002 Titu was elected member of the IMO Advisory Board, the governing body of the world’s most prestigious mathematics competition. Titu co-founded in 2006 and continues as director of the AwesomeMath Summer Program (AMSP). He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a "Certificate of Appreciation" from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 IMO. Titu’s contributions to numerous textbooks and problem books are recognized worldwide.

Dorin Andrica received his Ph.D in 1992 from "Babes¸-Bolyai" University in Cluj-Napoca, Romania; his thesis treated critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at "Babes¸-Bolyai" since 1995. He has written and contributed to numerous mathematics textbooks, problem books, articles and scientific papers at various levels. He is an invited lecturer at university conferences around the world: Austria, Bulgaria, Czech Republic, Egypt, France, Germany, Greece, Italy, the Netherlands, Portugal, Serbia, Turkey, and the USA. Dorin is a member of the Romanian Committee for the Mathematics Olympiad and is a member on the editorial boards of several international journals. Also, he is well known for his conjecture about consecutive primes called "Andrica’s Conjecture." He has been a regular faculty member at the Canada–USA Mathcamps between 2001–2005 and at the AwesomeMath Summer Program (AMSP) since 2006.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Andreescu, Titu; Andrica, Dorin
Editore: BIRKHAUSER BOSTON INC, United States (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Hardback. Condizione libro: New. 239 x 155 mm. Language: English . Brand New Book. 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. Codice libro della libreria LIB9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhauser 2009-04-02|NU-LBR-00647115 (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 3
Da
Chiron Media
(Wallingford, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser 2009-04-02|NU-LBR-00647115, 2009. Hardback. Condizione libro: New. 9780817632458. Codice libro della libreria NU-LBR-00647115

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 50,24
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,53
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhäuser (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
Book Deals
(Lewiston, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Birkhäuser, 2009. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example for readers to solve. By introducing and reinforcing every idea with an exercise, the authors motivate and engage readers. Codice libro della libreria ABE_book_new_081763245X

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,90
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

4.

Andreescu, Titu; Andrica, Dorin
Editore: BIRKHAUSER BOSTON INC, United States (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Hardback. Condizione libro: New. 239 x 155 mm. Language: English . Brand New Book. 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. Codice libro della libreria LIB9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,92
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhauser Boston Inc (2005)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Secaucus, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc, 2005. HRD. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria I1-9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 52,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,72
In U.S.A.
Destinazione, tempi e costi

6.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhäuser (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
English-Book-Service Mannheim
(Mannheim, Germania)
Valutazione libreria
[?]

Descrizione libro Birkhäuser, 2009. Condizione libro: New. Codice libro della libreria L9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 57,20
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

7.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhauser Boston Inc (2005)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc, 2005. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria I1-9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 51,67
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,64
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

Andreescu, Titu; Andrica, Dorin
Editore: BirkhÇÏuser (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BirkhÇÏuser, 2009. Hardback. Condizione libro: NEW. 9780817632458 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0285364

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 54,79
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 9,46
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

9.

Andreescu, Titu; Andrica, Dorin
Editore: Birkhäuser (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Rilegato Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Birkhäuser, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria 081763245X

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 65,28
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

Andreescu, Titu; Andrica, Dorin
Editore: Springer Basel AG Mrz 2009 (2009)
ISBN 10: 081763245X ISBN 13: 9780817632458
Nuovi Quantità: 1
Valutazione libreria
[?]

Descrizione libro Springer Basel AG Mrz 2009, 2009. Buch. Condizione libro: Neu. 241x163x30 mm. Neuware - Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This lively introductory text focuses on a problem-solving approach to the subject. Key features of Number Theory: Structures, Examples, and Problems: - A rigorous exposition starts with the natural numbers and the basics. - Important concepts are presented with an example, which may also emphasize an application. The exposition moves systematically and intuitively to uncover deeper properties. - Topics include divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems are covered. - Unique exercises reinforce and motivate the reader, with selected solutions to some of the problems. - Glossary, bibliography, and comprehensive index round out the text. Written by distinguished research mathematicians and renowned teachers, this text is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles, from advanced high school students to undergraduates, their instructors, and general readers at all levels. 384 pp. Englisch. Codice libro della libreria 9780817632458

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,39
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 12,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro