Help | |
Home - Pure And Applied Math - Number Theory (Books) |
1-20 of 100 | Next 20 |
click price to see details click image to enlarge click link to go to the store
1. Elementary Number Theory: Second Edition by Underwood Dudley | |
Paperback: 272
Pages
(2008-09-25)
list price: US$14.95 -- used & new: US$8.60 (price subject to change: see help) Asin: 048646931X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics books, it features nearly 1,000 imaginative exercises and problems. Solutions to many of the problems are included, and a teacher's guide is available. 1978 edition. Customer Reviews (7)
Very informative book but not enough examples worked out
Undergrad math and phys major review
Excellent on Elementary Number Theory
Good overview to basic number theory
It is a book that has aged very well |
2. Number Theory (Dover Books on Advanced Mathematics) by George E. Andrews | |
Paperback: 259
Pages
(1994-10-12)
list price: US$12.95 -- used & new: US$7.22 (price subject to change: see help) Asin: 0486682528 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Written by an distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more. Customer Reviews (9)
Classic Number Theory Text
An incredible text in elementary number theory
Essential Number Theory
best bang for the bucks in number theory books
Good |
3. An Introduction to the Theory of Numbers by G. H. Hardy, Edward M. Wright, Andrew Wiles | |
Paperback: 500
Pages
(2008-09-15)
list price: US$60.00 -- used & new: US$29.67 (price subject to change: see help) Asin: 0199219869 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (16)
There is no such thing as 'number theory'!
Easy read
awesome book on number theory
Number Theory
A Mathematical Classic Reviewed |
4. Elementary Number Theory (6th Edition) by Kenneth H. Rosen | |
Hardcover: 768
Pages
(2010-04-09)
list price: US$132.00 -- used & new: US$92.54 (price subject to change: see help) Asin: 0321500318 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (12)
half truth
So obvious, it's difficult
Moderately Helpful
ODD PROBLEMS ONLY
Omits obvious visual and intuitive ways of looking at concepts. |
5. Elementary Number Theory by Gareth A. Jones, Josephine M. Jones | |
Paperback: 200
Pages
(1998-01-14)
list price: US$49.95 -- used & new: US$28.00 (price subject to change: see help) Asin: 3540761977 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (15)
The knowledge I had expected, but too out of place, and does not help in solving basic questions.
Probably the best maths book I've ever read
Nice book with some flaws
A Satisfactory Text for Elementary Number Theory
An almost perfect square |
6. Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics) by Pierre Samuel | |
Paperback: 112
Pages
(2008-05-19)
list price: US$10.95 -- used & new: US$5.79 (price subject to change: see help) Asin: 0486466663 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Algebraic number theory introduces students to new algebraic notions as well as related concepts: groups, rings, fields, ideals, quotient rings, and quotient fields. This text covers the basics, from divisibility theory in principal ideal domains to the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition. Customer Reviews (4)
Crystal clear
Samuel Knows Numbers
Good service
A gem of a book |
7. Number Theory: A Lively Introduction with Proofs, Applications, and Stories by James Pommersheim, Tim Marks, Erica Flapan | |
Hardcover: 763
Pages
(2010-02-15)
-- used & new: US$49.99 (price subject to change: see help) Asin: 0470424133 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Readable discussions motivate new concepts and theorems before their formal definitions and statements are presented. Many theorems are preceded by Numerical Proof Previews, which are numerical examples that will help give students a concrete understanding of both the statements of the theorems and the ideas behind their proofs, before the statement and proof are formalized in more abstract terms. In addition, many applications of number theory are explained in detail throughout the text, including some that have rarely (if ever) appeared in textbooks. A unique feature of the book is that every chapter includes a math myth, a fictional story that introduces an important number theory topic in a friendly, inviting manner. Many of the exercise sets include in-depth Explorations, in which a series of exercises develop a topic that is related to the material in the section. Customer Reviews (5)
Excelente libro
Genuinely funny!(Not to mention clear and well-written.)
One of the most helpful guides I have read.
monumental work of patience and love
No answers |
8. 104 Number Theory Problems: From the Training of the USA IMO Team by Titu Andreescu, Dorin Andrica, Zuming Feng | |
Paperback: 204
Pages
(2006-12-19)
list price: US$49.95 -- used & new: US$31.00 (price subject to change: see help) Asin: 0817645276 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product 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 research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. Key features: * Contains problems developed for various mathematical contests, including the International Mathematical Olympiad (IMO) * Builds a bridge between ordinary high school examples and exercises in number theory and more sophisticated, intricate and abstract concepts and problems * Begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions * Combines unconventional and essay-type examples, exercises and problems, many presented in an original fashion * Engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom 104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas. Customer Reviews (2)
Great book but some solution can be simpler
Number Theoretic Gem |
9. Elementary Number Theory by David Burton | |
Hardcover: 448
Pages
(2010-02-04)
-- used & new: US$111.75 (price subject to change: see help) Asin: 0073383147 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (13)
Low price, good book
Very clear and interesting
All the starting stuff is here
an excellent introductory book
Rigorous and not too hard |
10. Number Theory and Its History (Dover Classics of Science and Mathematics) by Oystein Ore | |
Paperback: 380
Pages
(1988-04-01)
list price: US$15.95 -- used & new: US$5.00 (price subject to change: see help) Asin: 0486656209 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography. Customer Reviews (5)
From Ore with love: old but instructive introduction to number theory.
A book for practically anyone At the end, for example, Ore talks of how number theory relates to geometry and I wish there were more of that in it. I took this book on a very long trip, worked through many of the problems and simply found it a wonderful companion.If you get it, enjoy.One caution: if you already know some number theory you may find this book too simplistic.Still, it's worth having.
A book for practically anyone At the end, for example, Ore talks of how number theory relates to geometry and I wish there were more of that in it. I took this book on a very long trip, worked through many of the problems and simply found it a wonderful companion.If you get it, enjoy.One caution: if you already know some number theory you may find this book too simplistic.Still, it's worth having.
Hamony? A good book (but not a great book). Very basic. For the more advanced historical approach, Andre Weil's Number Theory: An approach through history" is to be recommended. Or even Guy's book mentioned above.
Excellent theory interspersed with history |
11. Friendly Introduction to Number Theory, A (3rd Edition) by Joseph H. Silverman | |
Hardcover: 448
Pages
(2005-03-31)
list price: US$114.67 -- used & new: US$78.95 (price subject to change: see help) Asin: 0131861379 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems rather than specific results. Includes a new chapter on big-Oh notation and how it is used to describe the growth rate of number theoretic functions and to describe the complexity of algorithms. Provides a new chapter that introduces the theory of continued fractions. Includes a new chapter on “Continued Fractions, Square Roots and Pell’s Equation.” Contains additional historical material, including material on Pell’s equation and the Chinese Remainder Theorem. A useful reference for mathematics teachers. Customer Reviews (14)
Great for mathematicians who have not studied number theory..!
Useless piece of garbage
Great for a casual exploration of the topic
Pretty good!
For its intended audience, this is a gem.... |
12. A Primer of Analytic Number Theory: From Pythagoras to Riemann by Jeffrey Stopple | |
Paperback: 400
Pages
(2003-06-23)
list price: US$50.00 -- used & new: US$27.89 (price subject to change: see help) Asin: 0521012538 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
A Readable Delightful book
One of my favorite math books
For the senior math undergraduate
Do you like primers? ...and number theory? Well here you go! |
13. Elementary Theory of Numbers (Dover books on advanced mathematics) by William J. LeVeque | |
Paperback: 144
Pages
(1990-06-01)
list price: US$9.95 -- used & new: US$5.15 (price subject to change: see help) Asin: 0486663485 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
A good and brief introduction
Readable, clear, but needs an errata page
Very good
Good Introduction to Key Topics and Proofs of Number Theory
Contents of this Book Plus the sample problems and solutions in the above area. ... Read more |
14. Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning by Clifford A. Pickover | |
Paperback: 416
Pages
(2002-06-15)
list price: US$24.99 -- used & new: US$15.09 (price subject to change: see help) Asin: 0195157990 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (18)
Another Great Book on Recreational Mathematics
I love Mathematics
A delightful collection of mathematical puzzles
Mind blowing !!
More unusual mathematics from a master Published in the recreational mathematics e-mail newsletter, reprinted with permission. ... Read more |
15. Algebraic Number Theory (Graduate Texts in Mathematics) by Serge Lang | |
Hardcover: 376
Pages
(1994-06-24)
list price: US$69.95 -- used & new: US$49.00 (price subject to change: see help) Asin: 0387942254 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Classic |
16. Elementary Number Theory by Jie Xiao | |
Paperback: 100
Pages
(2010-03-19)
list price: US$20.00 -- used & new: US$20.00 (price subject to change: see help) Asin: 1571461833 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
17. Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics) by Henri Cohen | |
Paperback: 650
Pages
(2010-11-02)
list price: US$64.95 -- used & new: US$52.25 (price subject to change: see help) Asin: 144192390X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. |
18. An Introduction to the Theory of Numbers by Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery | |
Hardcover: 544
Pages
(1991-01)
-- used & new: US$88.00 (price subject to change: see help) Asin: 0471625469 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
good book However, the author give too much hints spoling the fun of solving the problems. Eg 32-36, 40-3, 59-53, 108-36, 136-17, 312-8, and most of the problems in chapter 8. The author should put these hints at the back of the book. I suggest you look up IMO (imo.math.ca) for problems suitable for chapter 1-7 because IMO is well-knowned for its excellent number theory problems (especially 1990-3). Overall this is an excellent book. I give it a rating of 4.5/5, I don't give it 5 because of the author give too much hints to problems instead of putting hints at back of the book.
Comprehensive Alas, it is pre-FLT. So you'll have to look elsewhere for that.
The best intro to the subject!
I've found a marvellous proof... |
19. Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics) by Tom M. Apostol | |
Paperback: 356
Pages
(2010-11-02)
list price: US$69.95 -- used & new: US$56.20 (price subject to change: see help) Asin: 1441928057 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS Customer Reviews (6)
Introduction to Analytic Number Theory
Amazing
Exceptional readability
Unsurpassed SECOND text on number theory While this book does quickly cover elementary number theory, a reader new to this field will quickly feel lost.Without more exposure and a good prior feel for elementary number theory, the use of analytic techniques will seem ad hoc instead of following a logical pattern.By way of example, three areas covered in this book that are not part of analytic number theory and for which the reader would do better to learn from a less sophisticated text are the Fermat-Euler Theorem, Diophantine equations, and quadratic reciprocity. Excellent texts for a first exposure to number theory are, from simpler to more difficult: 1. Elementary Number Theory by Underwood Dudley 2. An Introduction to the Theory of Numbers by Niven, Zuckerman and Montgomery 3. An Introduction to the Theory of Numbers by Hardy and Wright Apostol's book on analytic number theory is a classic that may never be surpassed.It is a marvelous second book on number theory.
well presented, delightfully written |
20. A Course in Computational Algebraic Number Theory (Graduate Texts in Mathematics) by Henri Cohen | |
Paperback: 550
Pages
(2010-11-02)
list price: US$89.95 -- used & new: US$71.97 (price subject to change: see help) Asin: 3642081428 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Great book for computational aspects
Definitely belongs on the shelf of all number theory lovers 1. Most of the algorithms on elliptic curves. The author reminds the reader that number-theoretical experiments resulted in the famous Swinnerton-Dyer Conjecture and the Birch Conjecture. (a) the reduction algorithm, which for a given point in the upper half plane, gives the unique point in the half plane equivalent to this point under the action of the special linear group along with the matrix that maps these two points to each other. (b) The computation of the coefficient g2 and g3 of the Weierstrass equation of an elliptic curve. (c) The computation of the Weierstrass function and its derivative. (d) Determination of the periods of an elliptic curve over the real numbers. (e) The determination of the elliptic logarithm. (f) The reduction of a general cubic (f) The Shanks-Mestre algorithm for computing the order of an elliptic curve over a finite field F(p), where p is prime and greater than 457. (g) The reduction of an elliptic curve modulo p for p > 3. (h) The reduction of an elliptic curve modulo 2 or 3. (i) Reduction of an elliptic curve over the rational numbers. (j) Determination of the rational torsion points of an elliptic curve. (k) Computation of the Hilbert class polynomials and thus a determination of the j-function of an elliptic curve. 2. A few of the algorithms on factoring. (a) The Pollard algorithm for finding non-trivial factors of composites. (The author does not give the improved algorithm due to P. Montgomery, but does give references) (b) Shanks Square Form Factorization algorithm for finding a non-trivial factor of an odd integer. (c) Lenstra's Elliptic Curve test for compositeness. 3. Primality tests (a) The Jacobi Sum Primality Test for a positive integer. (b) Goldwasser-Killian elliptic curve test for a positive integer not equal to 1 and coprime to 6. The author gives an overview of the computer packages used for number theory, including Pari, which was written by him and his collaborators. I have not used this package, but instead use Lydia and Mathematica for most of the number theoretic computations I need to do.
Excellent! Of course, CAS information from 1993, won't bethat helpful (look in his newest, Advanced Topics inC.A.N.T.). Excellent. Also try Knuth's "Semi-numericalAlgorithms" for a more computer oriented approach. ... Read more |
1-20 of 100 | Next 20 |