Reciprocity Laws


Reciprocity Laws
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Reciprocity Laws


Reciprocity Laws
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Author : Franz Lemmermeyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Reciprocity Laws written by Franz Lemmermeyer 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 2013-03-14 with Mathematics categories.


This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.



Reciprocity Laws


Reciprocity Laws
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Author : Franz Lemmermeyer
language : en
Publisher:
Release Date : 2014-01-15

Reciprocity Laws written by Franz Lemmermeyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




The Quadratic Reciprocity Law


The Quadratic Reciprocity Law
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Author : Oswald Baumgart
language : en
Publisher: Birkhäuser
Release Date : 2015-05-27

The Quadratic Reciprocity Law written by Oswald Baumgart and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-27 with Mathematics categories.


This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix. This book will appeal to all readers interested in elementary number theory and the history of number theory.



Quadratic Number Fields


Quadratic Number Fields
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Author : Franz Lemmermeyer
language : en
Publisher: Springer Nature
Release Date : 2021-09-18

Quadratic Number Fields written by Franz Lemmermeyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-18 with Mathematics categories.


This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.



Gun Laws By State


Gun Laws By State
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Author : Bryan Lee Ciyou
language : en
Publisher:
Release Date : 2017

Gun Laws By State written by Bryan Lee Ciyou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Firearms categories.




Turning Points In The History Of Mathematics


Turning Points In The History Of Mathematics
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Author : Hardy Grant
language : en
Publisher: Birkhäuser
Release Date : 2016-04-15

Turning Points In The History Of Mathematics written by Hardy Grant and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-15 with Mathematics categories.


This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development.



The 100 Absolutely Unbreakable Laws Of Business Success


The 100 Absolutely Unbreakable Laws Of Business Success
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Author : Brian Tracy
language : en
Publisher: Berrett-Koehler Publishers
Release Date : 2002-01-11

The 100 Absolutely Unbreakable Laws Of Business Success written by Brian Tracy and has been published by Berrett-Koehler Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-11 with Business & Economics categories.


Why are some people more successful in business? Why do some businesses flourish where others fail? Renowned business speaker and author, Brian Tracy, tackles these puzzling questions through a set of principles or universal laws one needs to follow to become successful in the world of business. In The 100 Absolutely Unbreakable Laws of Business Success, Tracy draws on his thirty years of experience and knowledge to present a set of principles or "universal laws" that lie behind the success of business people everywhere, in every kind of enterprise, large and small. These are natural laws, he says, and they work everywhere and for everyone, virtually without exception. Every year, thousands of companies underperform or even fail and millions of individuals underachieve, frustrated by thwarted ambition and dreams-all because they either attempted to violate or did not know these universal laws. But ignorance of the law is no excuse! Tracy breaks the 100 laws down into nine major categories: Life, Success, Business, Leadership, Money, Economics, Selling, Negotiating, and Time Management. Drawing on a lifetime of observation, investigation, and experience, Tracy not only identifies and defines each law, he also reveals its source and foundation, whether in science, nature, philosophy, experience, or common sense. He illustrates how it functions in the world using real-life anecdotes and examples shows how to apply it to your life and work through specific questions and practical steps and exercises that everyone can use-sometimes in just minutes-to begin the journey toward greater business success.



American Law Register And Review


American Law Register And Review
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Author :
language : en
Publisher:
Release Date : 1892

American Law Register And Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with Law categories.




The American Law Register And Review


The American Law Register And Review
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Author :
language : en
Publisher:
Release Date : 1892

The American Law Register And Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with Electronic journals categories.




Geometric Aspects Of Dwork Theory


Geometric Aspects Of Dwork Theory
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Author : Alan Adolphson
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22

Geometric Aspects Of Dwork Theory written by Alan Adolphson and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.


This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of the p-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.