A New Theory Of Numbers PDF Download
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Author | : Adrian de Groot |
Publisher | : |
Total Pages | : 402 |
Release | : 2020-07-20 |
Genre | : |
ISBN | : 9781716714870 |
Download A New Theory of Numbers Book in PDF, ePub and Kindle
This book represents a breakthrough in number theory, by showing the inner, hidden structure of numbers, such as two types of dual characteristics; the surprising inner structure of prime number reciprocals; hidden multiplication and division tables; the many different ways to "construct" a prime number reciprocal; palindromes; perfect balances of evens and odds; plus and minus differences; a predictable and perfect 12/24-based prime number structure; inner secrets hiding in the Fibonacci series and the Pascal Triangle; ratios related to the square roots of numbers; the special roles of the numbers 1, 2 and 3, as well as 3, 6 and 9; the amazing number 7; the fundamental roles of 81 and 19; the mediating roles of 2 and 5, etc. A bonus chapter has been added about the numbers operating in our solar system. One question will baffle any reader: how is it possible that so many phenomena are happening all at the same time? One question cannot be escaped; Is there an inherent intelligent logic hiding in the world of numbers?
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 | : 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 | : Ivan Niven |
Publisher | : |
Total Pages | : 280 |
Release | : 1968 |
Genre | : Number theory |
ISBN | : |
Download An Introduction to the Theory of Numbers Book in PDF, ePub and Kindle
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 | : 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 | : Bowen Kerins |
Publisher | : American Mathematical Soc. |
Total Pages | : 203 |
Release | : 2015-10-15 |
Genre | : Education |
ISBN | : 147042195X |
Download Famous Functions in Number Theory Book in PDF, ePub and Kindle
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
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 | : |
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 | : Joseph B. Dence |
Publisher | : Academic Press |
Total Pages | : 542 |
Release | : 1999-01-20 |
Genre | : Mathematics |
ISBN | : 9780122091308 |
Download Elements of the Theory of Numbers Book in PDF, ePub and Kindle
Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory. * In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings * Includes application of Taylor polynomials * Contains more advanced material than other texts * Illustrates the results of a theorem with an example * Excellent presentation of the standard computational exercises * Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations * Clear and well-motivated presentation * Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few * Annotated bibliographies appear at the end of all of the chapters