An Illustrated Theory Of Numbers

An Illustrated Theory of Numbers PDF
Author: Martin H. Weissman
Publisher: American Mathematical Soc.
ISBN: 1470463717
Size: 55.18 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 323
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An Illustrated Theory Of Numbers

by Martin H. Weissman, An Illustrated Theory Of Numbers Books available in PDF, EPUB, Mobi Format. Download An Illustrated Theory Of Numbers books, 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.


An Introduction To The Theory Of Numbers

An Introduction to the Theory of Numbers PDF
Author: Godfrey Harold Hardy
Publisher: Oxford University Press
ISBN: 9780198531715
Size: 15.19 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 426
View: 1787

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An Introduction To The Theory Of Numbers

by Godfrey Harold Hardy, An Introduction To The Theory Of Numbers Books available in PDF, EPUB, Mobi Format. Download An Introduction To The Theory Of Numbers books, This is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory ofnumbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it is written for mathematicians, the range of mathematical knowledge presupposed is not greater thanthat of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, areasonably accurate account of the present state of knowledge.


Number Theory

Number Theory PDF
Author: S. Shirali
Publisher: Universities Press
ISBN: 9788173714542
Size: 47.82 MB
Format: PDF, Mobi
Category : Number theory
Languages : en
Pages : 108
View: 5092

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Number Theory

by S. Shirali, Number Theory Books available in PDF, EPUB, Mobi Format. Download Number Theory books, Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone from puzzle enthusiasts, problem solvers and amatcur mathematicians to professional scientists and technologists.


Number Theory A Very Short Introduction

Number Theory  A Very Short Introduction PDF
Author: Robin Wilson
Publisher: Oxford University Press
ISBN: 0192519077
Size: 80.63 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 144
View: 1436

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Number Theory A Very Short Introduction

by Robin Wilson, Number Theory A Very Short Introduction Books available in PDF, EPUB, Mobi Format. Download Number Theory A Very Short Introduction books, Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their historical context. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


The Illustrated Theory Of Everything

The Illustrated Theory of Everything PDF
Author: Stephen W. Hawking
Publisher: Phoenix Books
ISBN: 1614670323
Size: 23.92 MB
Format: PDF
Category : Science
Languages : en
Pages : 192
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The Illustrated Theory Of Everything

by Stephen W. Hawking, The Illustrated Theory Of Everything Books available in PDF, EPUB, Mobi Format. Download The Illustrated Theory Of Everything books, Stephen W. Hawking, widely believed to have been one of be one of the world’s greatest minds, presents a series of seven lectures— covering everything from big bang to black holes to string theory—. These lectures not only capture the brilliance of Hawking’'s mind, but his characteristic wit as well. In The Illustrated Theory of Everything, Hawking begins with a history of ideas about the universe, from Aristotle’s determination that the Earth is round to Hubble’s discovery, more than 2,000 years later, that the universe is expanding. Using that as a launching pad, he explores the reaches of modern physics, including theories on the origin of the universe (e.g., the Big Bang), the nature of black holes, and space-time. Finally, he poses the questions left unanswered by modern physics, especially how to combine all the partial theories into a “unified theory of everything.” “If we find the answer to that,” he claims, “it would be the ultimate triumph of human reason.” A great popularizer of science as well as a brilliant scientist, Hawking believes that advances in theoretical science should be “understandable in broad principle by everyone, not just a few scientists.” In this book, he offers a fascinating voyage of discovery about the cosmos and our place in it. It is a book for anyone who has ever gazed at the night sky and wondered what was up there and how it came to be.


The Higher Arithmetic

The Higher Arithmetic PDF
Author: H. Davenport
Publisher: Cambridge University Press
ISBN: 9780521634465
Size: 47.90 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 241
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The Higher Arithmetic

by H. Davenport, The Higher Arithmetic Books available in PDF, EPUB, Mobi Format. Download The Higher Arithmetic books, Seventh edition of a classic elementary number theory book.


                                      PDF
Author: كارول، لويس،
Publisher:
ISBN: 9789953196381
Size: 49.19 MB
Format: PDF, ePub
Category :
Languages : ar
Pages : 100
View: 419

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by كارول، لويس،, Books available in PDF, EPUB, Mobi Format. Download books,


The Popular History Of England An Illustrated History Of Society And Government From The Earliest Period To Our Own Time

The Popular History of England  an Illustrated History of Society and Government from the Earliest Period to Our Own Time PDF
Author: Charles Knight
Publisher:
ISBN:
Size: 29.52 MB
Format: PDF, Mobi
Category :
Languages : en
Pages :
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The Popular History Of England An Illustrated History Of Society And Government From The Earliest Period To Our Own Time

by Charles Knight, The Popular History Of England An Illustrated History Of Society And Government From The Earliest Period To Our Own Time Books available in PDF, EPUB, Mobi Format. Download The Popular History Of England An Illustrated History Of Society And Government From The Earliest Period To Our Own Time books,


Number Theory

Number Theory PDF
Author: George E. Andrews
Publisher: Courier Corporation
ISBN: 9780486682525
Size: 18.14 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 259
View: 3051

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Number Theory

by George E. Andrews, Number Theory Books available in PDF, EPUB, Mobi Format. Download Number Theory books, Written by a 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.