Number Theory 1 PDF Download
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| Author | : Kazuya Kato |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 180 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780821808634 |
Download Number Theory 1 Book in PDF, ePub and Kindle
This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.
| Author | : Oystein Ore |
| Publisher | : Courier Corporation |
| Total Pages | : 400 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486136434 |
Download Number Theory and Its History Book in PDF, ePub and Kindle
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
| Author | : Richard Guy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 176 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475717385 |
Download Unsolved Problems in Number Theory Book in PDF, ePub and Kindle
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
| Author | : |
| Publisher | : Academic Press |
| Total Pages | : 449 |
| Release | : 1986-05-05 |
| Genre | : Mathematics |
| ISBN | : 0080873324 |
Download Number Theory Book in PDF, ePub and Kindle
This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.
| Author | : H. E. Rose |
| Publisher | : Oxford University Press |
| Total Pages | : 420 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : 9780198523765 |
Download A Course in Number Theory Book in PDF, ePub and Kindle
This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.
| Author | : Richard Friedberg |
| Publisher | : Courier Corporation |
| Total Pages | : 241 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486152693 |
Download An Adventurer's Guide to Number Theory Book in PDF, ePub and Kindle
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
| Author | : Joe Roberts |
| Publisher | : MIT Press (MA) |
| Total Pages | : 986 |
| Release | : 1925 |
| Genre | : Mathematics |
| ISBN | : |
Download Elementary Number Theory Book in PDF, ePub and Kindle
| Author | : Kazuya Kato |
| Publisher | : |
| Total Pages | : |
| Release | : 2000 |
| Genre | : Number theory |
| ISBN | : |
Download Number Theory: Introduction to class field theory Book in PDF, ePub and Kindle
| Author | : Charles Stanley Ogilvy |
| Publisher | : Courier Corporation |
| Total Pages | : 196 |
| Release | : 1988-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486257785 |
Download Excursions in Number Theory Book in PDF, ePub and Kindle
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
| Author | : Robert B. Ash |
| Publisher | : Courier Corporation |
| Total Pages | : 130 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486477541 |
Download A Course in Algebraic Number Theory Book in PDF, ePub and Kindle
This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
