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A Handbook Of Modular Arithmetic
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Book Synopsis A Handbook of Modular Arithmetic by : N.B. Singh
Download or read book A Handbook of Modular Arithmetic written by N.B. Singh and published by N.B. Singh. This book was released on with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Handbook of Modular Arithmetic" is a beginner-friendly guide that introduces readers to the fascinating realm of modular arithmetic, offering clear explanations, practical examples, and engaging exercises. Designed for those with no mathematical background, the book gently introduces the concepts of modular arithmetic, exploring its applications in computer science, cryptography, and number theory. From understanding basic concepts to unraveling the mysteries of modular arithmetic, this handbook serves as a comprehensive resource for anyone eager to delve into the world of numbers and problem-solving.
Book Synopsis Disquisitiones Arithmeticae by : Carl Friedrich Gauss
Download or read book Disquisitiones Arithmeticae written by Carl Friedrich Gauss and published by Springer. This book was released on 2018-02-07 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .
Book Synopsis A Classical Introduction to Modern Number Theory by : K. Ireland
Download or read book A Classical Introduction to Modern Number Theory written by K. Ireland and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
Download or read book Mechanics 4 written by John Hebborn and published by Heinemann. This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: A syllabus-specific textbook providing worked examples, exam-level questions and many practice exercises, in accordance to the new Edexcel AS and Advanced GCE specification.
Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Irish Mathematical Olympiad Manual by : J. Cruickshank
Download or read book Irish Mathematical Olympiad Manual written by J. Cruickshank and published by Lulu.com. This book was released on 2013-07-29 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Manual was primarily written to assist Irish secondary-school students who are preparing to compete in the Irish Mathematical Olympiad (held in May each year) or the International Mathematical Olympiad (held each July). It has also proved useful in other countries, and is popular among people who simply enjoy mathematics. The Mathematical Olympiads are written examinations, based on what is called "second--level mathematics". There are significant variations between countries in the content of second--level programmes in Mathematics. Thus, Irish competitors find themselves faced with problems that require background knowledge that is not covered in the Senior Cycle programme for Irish schools. In order to have a reasonable chance of success, they need to master this material. The authors are academics who have many years experience as voluntary trainers of Olympiad contestants and in other mathematical enrichment activities for young people. The selection of material is based on this experience.
Download or read book Number Theory written by Kuldeep Singh and published by Oxford University Press. This book was released on 2020-10-08 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is one of the oldest branches of mathematics that is primarily concerned with positive integers. While it has long been studied for its beauty and elegance as a branch of pure mathematics, it has seen a resurgence in recent years with the advent of the digital world for its modern applications in both computer science and cryptography. Number Theory: Step by Step is an undergraduate-level introduction to number theory that assumes no prior knowledge, but works to gradually increase the reader's confidence and ability to tackle more difficult material. The strength of the text is in its large number of examples and the step-by-step explanation of each topic as it is introduced to help aid understanding the abstract mathematics of number theory. It is compiled in such a way that allows self-study, with explicit solutions to all the set of problems freely available online via the companion website. Punctuating the text are short and engaging historical profiles that add context for the topics covered and provide a dynamic background for the subject matter.
Book Synopsis Elementary Number Theory with Programming by : Marty Lewinter
Download or read book Elementary Number Theory with Programming written by Marty Lewinter and published by John Wiley & Sons. This book was released on 2015-06-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.
Book Synopsis Introduction to Number Theory by : Anthony Vazzana
Download or read book Introduction to Number Theory written by Anthony Vazzana and published by CRC Press. This book was released on 2007-10-30 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi
Book Synopsis A Handbook of Algorithms in Number Theory by : N.B. Singh
Download or read book A Handbook of Algorithms in Number Theory written by N.B. Singh and published by N.B. Singh. This book was released on with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Handbook of Algorithms in Number Theory" is designed for absolute beginners, providing a comprehensive introduction to the fundamental concepts of number theory and their applications in computer science. This book explores a range of topics, from cryptographic hash functions and primality testing to random number generation and error detection. Through clear, step-by-step descriptions, readers will gain a solid understanding of how number theory underpins modern algorithms and cryptographic protocols, making complex ideas accessible and engaging for those new to the subject.
Book Synopsis A Handbook of Calculus in Quantum Mechanics by : N.B. Singh
Download or read book A Handbook of Calculus in Quantum Mechanics written by N.B. Singh and published by N.B. Singh. This book was released on with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Handbook of Calculus in Quantum Mechanics" is a comprehensive introductory guide designed specifically for absolute beginners with little to no mathematical background in quantum mechanics. This concise yet thorough handbook navigates readers through the fundamental concepts of calculus within the context of quantum mechanics, offering clear explanations and practical examples to facilitate understanding. From essential differential and integral calculus formulas to their application in solving problems in quantum mechanics, this book provides a solid foundation for readers to grasp the mathematical tools essential for exploring the intriguing world of quantum phenomena. Whether you're a student, researcher, or enthusiast, this accessible handbook equips you with the necessary knowledge to embark on your quantum journey with confidence and clarity.
Book Synopsis Handbook of Digital Resources in Mathematics Education by : Birgit Pepin
Download or read book Handbook of Digital Resources in Mathematics Education written by Birgit Pepin and published by Springer Nature. This book was released on with total page 1405 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Modular Forms by : Christopher L. Douglas
Download or read book Topological Modular Forms written by Christopher L. Douglas and published by American Mathematical Soc.. This book was released on 2014-12-04 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.
Book Synopsis Computer and Information Security Handbook by : John R. Vacca
Download or read book Computer and Information Security Handbook written by John R. Vacca and published by Morgan Kaufmann. This book was released on 2017-05-10 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer and Information Security Handbook, Third Edition, provides the most current and complete reference on computer security available in one volume. The book offers deep coverage of an extremely wide range of issues in computer and cybersecurity theory, applications, and best practices, offering the latest insights into established and emerging technologies and advancements. With new parts devoted to such current topics as Cloud Security, Cyber-Physical Security, and Critical Infrastructure Security, the book now has 100 chapters written by leading experts in their fields, as well as 12 updated appendices and an expanded glossary. It continues its successful format of offering problem-solving techniques that use real-life case studies, checklists, hands-on exercises, question and answers, and summaries. Chapters new to this edition include such timely topics as Cyber Warfare, Endpoint Security, Ethical Hacking, Internet of Things Security, Nanoscale Networking and Communications Security, Social Engineering, System Forensics, Wireless Sensor Network Security, Verifying User and Host Identity, Detecting System Intrusions, Insider Threats, Security Certification and Standards Implementation, Metadata Forensics, Hard Drive Imaging, Context-Aware Multi-Factor Authentication, Cloud Security, Protecting Virtual Infrastructure, Penetration Testing, and much more. Online chapters can also be found on the book companion website: https://www.elsevier.com/books-and-journals/book-companion/9780128038437 - Written by leaders in the field - Comprehensive and up-to-date coverage of the latest security technologies, issues, and best practices - Presents methods for analysis, along with problem-solving techniques for implementing practical solutions
Book Synopsis SIMD Programming Manual for Linux and Windows by : Paul Cockshott
Download or read book SIMD Programming Manual for Linux and Windows written by Paul Cockshott and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of widely used contemporary processors have instruction-set extensions for improved performance in multi-media applications. The aim is to allow operations to proceed on multiple pixels each clock cycle. Such instruction-sets have been incorporated both in specialist DSPchips such as the Texas C62xx (Texas Instruments, 1998) and in general purpose CPU chips like the Intel IA32 (Intel, 2000) or the AMD K6 (Advanced Micro Devices, 1999). These instruction-set extensions are typically based on the Single Instruc tion-stream Multiple Data-stream (SIMD) model in which a single instruction causes the same mathematical operation to be carried out on several operands, or pairs of operands, at the same time. The level or parallelism supported ranges from two floating point operations, at a time on the AMD K6 architecture to 16 byte operations at a time on the Intel P4 architecture. Whereas processor architectures are moving towards greater levels of parallelism, the most widely used programming languages such as C, Java and Delphi are structured around a model of computation in which operations takeplace on a single value at a time. This was appropriate when processors worked this way, but has become an impediment to programmers seeking to make use of the performance offered by multi-media instruction -sets. The introduction of SIMD instruction sets (Peleg et al.
Book Synopsis The Informatics Handbook by : S.A. Fist
Download or read book The Informatics Handbook written by S.A. Fist and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is not a dictionary - and nor is it an encyclopedia. It is a reference and compendium of useful information about the converging worlds of computers, communications, telecommunications and broadcasting. You could refer to it as a guide for the Information Super Highway, but this would be pretentious. It aims to cover most of the more important terms and concepts in the developing discipline of Informatics - which, in my definition, includes the major converging technologies, and the associated social and cultural issues. Unlike a dictionary, this handbook makes no attempt to be 'prescriptive' in its definitions. Many of the words we use today in computing and communications only vaguely reflect their originations. And with such rapid change, older terms are often taken, twisted, inverted, and mangled, to the point where any attempt by me to lay down laws of meaning, would be meaningless. The information here is 'descriptive' - I am concerned with usage only. This book therefore contains keywords and explanations which have been culled from the current literature - from technical magazines, newspapers, the Internet, forums, etc. This is the living language as it is being used today - not a historical artifact of 1950s computer science.
Book Synopsis Handbook of Combinatorics by : Ronald L. Graham
Download or read book Handbook of Combinatorics written by Ronald L. Graham and published by MIT Press. This book was released on 2003-03 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.
