Reciprocity Laws PDF Download
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Author: Franz Lemmermeyer
Publisher: Springer Science & Business Media
ISBN: 3662128934
Category : Mathematics
Languages : en
Pages : 503
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Book Description
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.
Author: Franz Lemmermeyer
Publisher: Springer Science & Business Media
ISBN: 3662128934
Category : Mathematics
Languages : en
Pages : 503
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Book Description
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.
Author: Oswald Baumgart
Publisher: Birkhäuser
ISBN: 3319162837
Category : Mathematics
Languages : en
Pages : 172
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Book Description
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.
Author: Bryan Lee Ciyou
Publisher: Peritus Holdings Incorporated
ISBN: 9780985498429
Category : Firearms
Languages : en
Pages : 280
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Book Description
Author: Brian Tracy
Publisher: Berrett-Koehler Publishers
ISBN: 1605098981
Category : Business & Economics
Languages : en
Pages : 341
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Book Description
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.
Author: Bryan Peeler
Publisher: Cambridge University Press
ISBN: 110877587X
Category : Law
Languages : en
Pages : 227
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Book Description
The expectation of reciprocity continues to be an important factor when states' consider their legal obligations in armed conflicts. In this monograph, Peeler looks at the text and negotiations around the 1949 Geneva Conventions and the Protocols Additional to the Geneva Conventions from 1977 to demonstrate the many places where international humanitarian law maintains expectations of reciprocity. This complements an examination of US policy regarding its Prisoner of War obligations in both the Vietnam War and the Global War on Terror, demonstrating how states make use of the expectation of reciprocity found in international humanitarian law to respond to continued non-compliance by an enemy.
Author: Franz Lemmermeyer
Publisher: Springer Nature
ISBN: 3030786528
Category : Mathematics
Languages : en
Pages : 348
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Book Description
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.
Author: Bryan Ciyou
Publisher:
ISBN: 9780985498450
Category :
Languages : en
Pages :
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Book Description
Author:
Publisher:
ISBN:
Category : Firearms
Languages : en
Pages : 52
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Book Description
Author: Bryan L Ciyou Esq
Publisher: Vervante
ISBN: 9781946208767
Category :
Languages : en
Pages :
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Book Description
Preparing you for the time when "what if" becomes "what is." Written by a prominent gun law author, and nationally recognized gun law attorney. 490 pages. Covers Reciprocal Carry of 50 states, Constitutional & Federal Law, Use of Force, Criminal Provisions, Civil & Criminal Liability, Preemption, Federal Property & Interstate Transportation & HR 218.
Author: Hardy Grant
Publisher: Birkhäuser
ISBN: 1493932640
Category : Mathematics
Languages : en
Pages : 109
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Book Description
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.
