Reciprocity Laws

Reciprocity Laws
Author: Franz Lemmermeyer
Publisher: Springer Science & Business Media
Total Pages: 503
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662128934

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.

The Quadratic Reciprocity Law

The Quadratic Reciprocity Law
Author: Oswald Baumgart
Publisher: Birkhäuser
Total Pages: 178
Release: 2015-05-27
Genre: Mathematics
ISBN: 3319162837

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.

2024 Traveler's Guide to the Firearm Laws of the Fifty States

2024 Traveler's Guide to the Firearm Laws of the Fifty States
Author: Scott Kappas
Publisher:
Total Pages: 0
Release: 2024
Genre:
ISBN:

A state-by-state guide to the gun laws most useful to the traveler. Issues covered include concealed carry reciprocity, vehicle carry, open carry on foot, gun-free zones, state & national park carry, carry while boondocking in an RV, carry on school grounds, constitutional carry and much more. The narrative format makes the book an easy read and an invaluable reference while traveling with a gun. Published every year since 1996, the Traveler's Guide to Firearm Laws is the gun owner's preferred choice for reliable information on the nation's gun laws.

Model Rules of Professional Conduct

Model Rules of Professional Conduct
Author: American Bar Association. House of Delegates
Publisher: American Bar Association
Total Pages: 216
Release: 2007
Genre: Law
ISBN: 9781590318737

The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts.

The 100 Absolutely Unbreakable Laws of Business Success

The 100 Absolutely Unbreakable Laws of Business Success
Author: Brian Tracy
Publisher: Berrett-Koehler Publishers
Total Pages: 341
Release: 2002-01-11
Genre: Business & Economics
ISBN: 1605098981

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.

Combinatorial Reciprocity Theorems

Combinatorial Reciprocity Theorems
Author: Matthias Beck
Publisher: American Mathematical Soc.
Total Pages: 325
Release: 2018-12-12
Genre: Mathematics
ISBN: 147042200X

Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.

Diplomatic Law

Diplomatic Law
Author: Eileen Denza
Publisher: Oxford University Press
Total Pages: 472
Release: 2016
Genre: Law
ISBN: 0198703961

The 1961 Vienna Convention on Diplomatic Relations has for over 50 years been central to diplomacy and applied to all forms of relations among sovereign States. Participation is almost universal. The rules giving special protection to ambassadors are the oldest established in international law and the Convention is respected almost everywhere. But understanding it as a living instrument requires knowledge of its background in customary international law, of the negotiating history which clarifies many of its terms and the subsequent practice of states and decisions of national courts which have resolved other ambiguities. Diplomatic Law provides this in-depth Commentary. The book is an essential guide to changing methods of modern diplomacy and shows how challenges to its regime of special protection for embassies and diplomats have been met and resolved. It is used by ministries of foreign affairs and cited by domestic courts world-wide. The book analyzes the reasons for the widespread observance of the Convention rules and why in the special case of communications - where there is flagrant violation of their special status - these reasons do not apply. It describes how abuse has been controlled and how the immunities in the Convention have survived onslaught by those claiming that they should give way to conflicting entitlements to access to justice and the desire to punish violators of human rights. It describes how the duty of diplomats not to interfere in the internal affairs of the host State is being narrowed in the face of the communal international responsibility to monitor and uphold human rights.