Primes Of The Form X2 Ny2

Author: David A. Cox
Publisher: Wiley
ISBN: 9781118390184
Size: 63.63 MB
Format: PDF, ePub
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Primes Of The Form X2 Ny2 from the Author: David A. Cox. An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat’s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: • A well-motivated introduction to the classical formulation of class field theory • Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations • An elementary treatment of quadratic forms and genus theory • Simultaneous treatment of elementary and advanced aspects of number theory • New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.

Harmony Book

Author: Elliott Carter
Publisher: Carl Fischer, L.L.C.
ISBN: 9780825845949
Size: 69.28 MB
Format: PDF, ePub, Mobi
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Harmony Book from the Author: Elliott Carter. This comprehensive resource features more than 400 projections and colour illustrations augmented by MRI images for added detail to enhance the anatomy and positioning presentations.

Tata Lectures On Theta Iii

Author: David Mumford
Publisher: Springer Science & Business Media
ISBN: 0817645705
Size: 28.86 MB
Format: PDF, Mobi
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Tata Lectures On Theta Iii from the Author: David Mumford. This volume is the third of three in a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III). Researchers and graduate students in mathematics and physics will find these volumes to be valuable additions to their libraries.

Schaum S Outline Of Discrete Mathematics Revised Third Edition

Author: Seymour Lipschutz
Publisher: McGraw Hill Professional
ISBN: 0071615873
Size: 31.86 MB
Format: PDF, Docs
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Schaum S Outline Of Discrete Mathematics Revised Third Edition from the Author: Seymour Lipschutz. Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.


Author: Arnold Whittall
Publisher: Cambridge University Press
ISBN: 0521863414
Size: 75.99 MB
Format: PDF, ePub
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Serialism from the Author: Arnold Whittall. A clear, non-technical introduction to serialism - a key topic in music studies for both undergraduate and graduate students.

Prime Numbers

Author: Richard Crandall
Publisher: Springer Science & Business Media
ISBN: 0387289798
Size: 35.17 MB
Format: PDF, ePub
View: 4645
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Prime Numbers from the Author: Richard Crandall. Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Languages And Machines

Author: Thomas A. Sudkamp
Publisher: Addison-Wesley Longman
ISBN: 9780321322210
Size: 68.69 MB
Format: PDF, ePub, Docs
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Languages And Machines from the Author: Thomas A. Sudkamp. Providing a mathematically sound presentation of the theory of computer science this work is suitable for junior and senior level computer science majors. It develops an intuitive understanding of the theoretical concepts and associated mathematics through examples and illustrations and gives instructors an ability to design their courses.