Theory Of Numbers PDF Download
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| Author | : Martin H. Weissman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 341 |
| Release | : 2020-09-15 |
| Genre | : Education |
| ISBN | : 1470463717 |
Download An Illustrated Theory of Numbers Book in PDF, ePub and Kindle
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
| Author | : |
| Publisher | : |
| Total Pages | : 435 |
| Release | : 2007 |
| Genre | : Number theory |
| ISBN | : 9787115156112 |
Download 数论导引 Book in PDF, ePub and Kindle
本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。
| Author | : Andrew Adler |
| Publisher | : Jones & Bartlett Publishers |
| Total Pages | : 424 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : |
Download The Theory of Numbers Book in PDF, ePub and Kindle
| Author | : Harry Pollard |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 162 |
| Release | : 1975-12-31 |
| Genre | : Algebraic number theory |
| ISBN | : 1614440093 |
Download The Theory of Algebraic Numbers: Second Edition Book in PDF, ePub and Kindle
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.
| Author | : Albert H. Beiler |
| Publisher | : Courier Corporation |
| Total Pages | : 383 |
| Release | : 1964-01-01 |
| Genre | : Games & Activities |
| ISBN | : 0486210960 |
Download Recreations in the Theory of Numbers Book in PDF, ePub and Kindle
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
| Author | : Emil Grosswald |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2010-02-23 |
| Genre | : Mathematics |
| ISBN | : 0817648380 |
Download Topics from the Theory of Numbers Book in PDF, ePub and Kindle
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.
| Author | : Hermann Weyl |
| Publisher | : Princeton University Press |
| Total Pages | : 240 |
| Release | : 2016-04-21 |
| Genre | : Mathematics |
| ISBN | : 140088280X |
Download Algebraic Theory of Numbers. (AM-1), Volume 1 Book in PDF, ePub and Kindle
In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.
| Author | : W. Sierpinski |
| Publisher | : Elsevier |
| Total Pages | : 527 |
| Release | : 1988-02-01 |
| Genre | : Mathematics |
| ISBN | : 0080960197 |
Download Elementary Theory of Numbers Book in PDF, ePub and Kindle
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.
| Author | : E. T. Hecke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 251 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475740921 |
Download Lectures on the Theory of Algebraic Numbers Book in PDF, ePub and Kindle
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
| Author | : Luogeng Hua |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 206 |
| Release | : 2009-12-04 |
| Genre | : Mathematics |
| ISBN | : 0821849425 |
Download Additive Theory of Prime Numbers Book in PDF, ePub and Kindle
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial $x^k$ is replaced by an arbitrary polynomial of degree $k$. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject.
