Report On The Theory Of Numbers
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Report On The Theory Of Numbers
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Author : Henry John Stephen Smith
language : en
Publisher: Chelsea Publishing Company, Incorporated
Release Date : 1965
Report On The Theory Of Numbers written by Henry John Stephen Smith and has been published by Chelsea Publishing Company, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Number theory categories.
The Theory Of Numbers
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Author : Andrew Adler
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 1995
The Theory Of Numbers written by Andrew Adler and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Theory Of Numbers
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Author : G B Mathews
language : en
Publisher:
Release Date : 2019-11-18
Theory Of Numbers written by G B Mathews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-18 with categories.
"THIS treatise is intended to provide the English student with an intelligible outline of the Theory of Numbers which may serve as an introduction to the detailed study of the subject at first hand. No single work of reasonable size could possibly do justice to every part of the theory; and in the choice of material it is not easy to adopt any plan which is likely to approve itself to everyone. I have been guided principally by a desire to give a fairly complete account of the theories of congruences and of arithmetical forms, so far as they have been developed hitherto; to this I hope to be able to add a sketch of the different complex and ideal theories. Diophantine analysis proper, and questions of pure "tactic," have been omitted, except in so far as they have been subsidiary to the general scheme. The range of this first volume is sufficiently indicated by the table of contents. It is hardly necessary to say that I have derived continual assistance from the works of Gauss and Dirichlet, and from H. J. S. Smith's invaluable 'Report on the Theory of Numbers'. I am also greatly indebted to Professor Dedekind for permission to make free use of his edition of Dirichlet's 'Vorlesungen über Zahlentheorie'. So far as this present volume is concerned, the accountant of Dirichlet's researches has been taken primarily from his original memoirs; at the same time, I owe much to the study of the 'Vorlesungen', and I hope that I may eventually avail myself of Prof. Dedekind's kindness more directly, by giving some account of his theory of ideals. In the references at the ends of the chapters and elsewhere I have done my best to indicate fully the sources from which I have derived my information. No attempt has been made to give an exhaustive bibliography; even if I had been equal to the task of compiling it, the result would probably be merely embarrassing to the beginner, whose attention should be directed in the first place to the works of the great masters of the science..." - G.B. Mathews (1892)
Guide To Tables In The Theory Of Numbers
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Author : Derrick H. Lehmer
language : en
Publisher:
Release Date : 1961
Guide To Tables In The Theory Of Numbers written by Derrick H. Lehmer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
An Illustrated Theory Of Numbers
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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15
An Illustrated Theory Of Numbers written by Martin H. Weissman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Education categories.
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.
Topics From The Theory Of Numbers
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Author : Emil Grosswald
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-23
Topics From The Theory Of Numbers written by Emil Grosswald and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-23 with Mathematics categories.
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.
Invitation To Number Theory Second Edition
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Author : Oystein Ore
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-29
Invitation To Number Theory Second Edition written by Oystein Ore and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-29 with Number theory categories.
Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive
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Author : William Judson LeVeque
language : en
Publisher:
Release Date : 1974
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive written by William Judson LeVeque and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
The Theory Of Algebraic Numbers Second Edition
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Author : Harry Pollard
language : en
Publisher: American Mathematical Soc.
Release Date : 1975-12-31
The Theory Of Algebraic Numbers Second Edition written by Harry Pollard and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-12-31 with Algebraic number theory categories.
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.
Elements Of The Theory Of Numbers
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Author : Joseph B. Dence
language : en
Publisher: Academic Press
Release Date : 1999-01-20
Elements Of The Theory Of Numbers written by Joseph B. Dence and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-20 with Mathematics categories.
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