Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and mo
Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL
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
Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.
Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to cryptography factoring primality testing complexity analysis computer arithmetic computational number theory Fundamental Number Theory with Applications also covers: Carmichael numbers Dirichlet products Jacobsthal sums Mersenne primes perfect numbers powerful numbers self-contained numbers Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material. Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.
This account of the ancient healing dances practiced by the Kung people of southern Africa's Kalahari dessert includes vivid eyewitness descriptions of night-long healing dances and interviews with Kung healers.
Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups. The text includes convenient cross-referencing, a comprehensive index, and numerous exercises and applications.
This long-standing series provides the guild of religion scholars a venue for publishing aimed primarily at colleagues. It includes scholarly monographs, revised dissertations, Festschriften, conference papers, and translations of ancient and medieval documents. Works cover the sub-disciplines of biblical studies, history of Christianity, history of religion, theology, and ethics. Festschriften for Karl Barth, Donald W. Dayton, James Luther Mays, Margaret R. Miles, and Walter Wink are among the seventy-five volumes that have been published. Contributors include: C. K. Barrett, Francois Bovon, Paul S. Chung, Marie-Helene Davies, Frederick Herzog, Ben F. Meyer, Pamela Ann Moeller, Rudolf Pesch, D. Z. Phillips, Rudolf Schnackenburgm Eduard Schweizer, John Vissers
Offers a "safety profile" of 5000 of the most important hazardous chemicals. Features unique Chemical Safety Profiles that provide a quick overview of the hazards, synonyms, and physical properties of a variety of chemicals. Details government agency standards and recommendations on the handling of each chemical. Includes three cross-indices to permit rapid location of a material by its Chemical Abstract Service (CAS) number, a synonym for the material, or the DOT Guide Number. Features new chemical entries unavailable in previous versions.
The Sixth Edition of this best-selling text includes updates to account for new legal, regulatory and policy developments. Pharmacy Practice and the Law, Sixth Edition provides background, history and discussion of the law so as to enable the student to not only learn the facts, but to help them understand, apply and critically evaluate the information. The issues covered in this text are discussed in non-legal, easy to understand language. Challenging open-ended discussion questions and edited cases are included in every chapter to facilitate discussion and critical thinking. Citations to all laws, court cases, regulations and other documents are provided. An online instructor’s manual is available. Pharmacy Practice and the Law, Sixth Edition, is a useful resource both for teaching the facts of pharmacy law and for stimulating critical thinking issues in pharmacy law.
The ultimate guide to restoring the most popular and collectible Corvettes, the Sting Rays built from 1963-67. Correctly finish your Sting Ray to its original factory specs! Hundreds of photographs aid in parts identification and correct assembly of the engine, chassis, body sheet metal, interior, exterior colors, trim, electrical, wheels & tires and more.
Foundations of Algorithms Using C++ Pseudocode, Third Edition offers a well-balanced presentation on designing algorithms, complexity analysis of algorithms, and computational complexity. The volume is accessible to mainstream computer science students who have a background in college algebra and discrete structures. To support their approach, the authors present mathematical concepts using standard English and a simpler notation than is found in most texts. A review of essential mathematical concepts is presented in three appendices. The authors also reinforce the explanations with numerous concrete examples to help students grasp theoretical concepts.
Most of the seven major industrial countries are now experiencing significant changes in their demographic structure. A persistent pattern of declining fertility and improving life expectancy has created major segments of the population that are already relatively aged or will become so in the near future. This paper examines the impact of prospective demographic trends on the level and structure of social expenditure by the governments of the seven major industrial countries (the Group of Seven) through the year 2025.
The HazMat Data, 2nd Edition provides a detailed reference for emergency responders and people who transport chemicals. Considering the events of September 11, the book is especially oriented toward first responder and emergency management personnel. Additions to this new Second Edition include Spanish language synonyms for all entries, and an increased overall number of synonyms. New to this edition is information on chemical warfare (CW) agents and Weapons of Mass Destruction (WMD)-nerve gasses, blister agents/vesicants, "blood agents," choking/pulmonary agents, and crowd-control agents (tear gasses, pepper sprays, etc.)-that might be used as weapons of terrorism. It clearly explains symptoms of exposure and appropriate treatment for the exposure when available, and describes what to do in an emergency situation. The book also gives the NFPA hazard classifications, as well as chemical hazard class information. Newly updated, The HazMat Data, 2nd Editio provides a comprehensive, up-to-date summary of this vital information.
Leading-edge VoIP technologies, tools, and standards Efficiently deliver voice, data, and multimedia content over today's always-on broadband networks with guidance from this fully updated resource. Carrier-Grade VoIP, Third Edition, shows how to set up and administer a highly reliable unified communications platform using the latest tools. Find out how to choose from the complete spectrum of codecs, enable new HD voice and video services, handle security, and maintain optimal QoS. This comprehensive guide offers start-to-finish details on carrier-grade VoIP network design, troubleshooting, and interconnection. Coverage includes: HD voice services Internet, IP, and VoIP standards Speech-coding techniques H.323 and multimedia conferencing SIP messages and architecture The SS7 protocol suite Interconnecting VoIP networks QoS policies and enforcement Security and privacy issues VoIP network design
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