Modular Arithmetic
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A Handbook Of Modular Arithmetic
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
A Handbook Of Modular Arithmetic written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"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.
Modular Arithmetic
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Modular Arithmetic written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"Modular Arithmetic" is a concise and accessible guide that demystifies the fundamental concepts of modular arithmetic, a mathematical framework essential for various applications. Tailored for students and enthusiasts of mathematics, the book explores the properties and operations within modular systems, shedding light on topics such as modular addition, subtraction, multiplication, and exponentiation. With clear explanations and illustrative examples, it equips readers with the foundational knowledge to solve problems in cryptography, computer science, and other mathematical disciplines. This handbook serves as an indispensable resource for understanding and applying modular arithmetic, making it an ideal companion for those looking to navigate this important mathematical concept.
A Beginner S Guide To Discrete Mathematics
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Author : W. D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
A Beginner S Guide To Discrete Mathematics written by W. D. Wallis 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 2003 with Computers categories.
This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. Lists are presented as an example of data structures. An introduction to counting includes the Binomial Theorem and mathematical induction, which serves as a starting point for a brief study of recursion. The basics of probability theory are then covered.Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, e.g., Euclidean algorithm, Fermat's Little Theorem.Good examples occur throughout. At the end of every section there are two problem sets of equal difficulty. However, solutions are only given to the first set. References and index conclude the work.A math course at the college level is required to handle this text. College algebra would be the most helpful.
Understanding Cryptography
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Author : Christof Paar
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-27
Understanding Cryptography written by Christof Paar 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 2009-11-27 with Computers categories.
Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography. After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations. The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.
The Web Of Modularity Arithmetic Of The Coefficients Of Modular Forms And Q Series
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Author : Ken Ono
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Web Of Modularity Arithmetic Of The Coefficients Of Modular Forms And Q Series written by Ken Ono and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Chapter 1.
Number Theory Modular Arithmetic
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Author : Xing Zhou
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-03
Number Theory Modular Arithmetic written by Xing Zhou and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03 with categories.
Remainder does not seem to be a big topic in school math. However, in competition math, it is. Almost every contest at middle school and high school level has remainder related problems. For example, in 2017 AMC 10B, out of total 25 problems, at least 3 are related to this topic: the 14th, 23rd, and 25th. Modular arithmetic is a branch in mathematics which studies remainders and tackles related problems. However, this important subject is not taught in schools. Consequently, many students rely on their intuition when attempting to solve such problems. This is clearly not the best situation. This book aims to provide a complete coverage of this topic at the level which is suitable for middle school and high school students. Contents will include both theoretical knowledge and practical techniques. Therefore, upon completion, students will have a solid skill base to solve related problems in math competitions. More information, including table of contents, pre-assessment etc, can be found at http: //www.mathallstar.org/
Mastering Discrete Mathematics
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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Mastering Discrete Mathematics written by Gautami Devar and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Mastering Discrete Mathematics" is a comprehensive and accessible resource designed to provide readers with a thorough understanding of the fundamental concepts, techniques, and applications of discrete mathematics. Written for students, educators, researchers, and practitioners, we offer a detailed overview of discrete mathematics, a field that deals with countable, distinct objects and structures. We cover a wide range of topics, including sets, logic, proof techniques, combinatorics, graph theory, recurrence relations, and generating functions. Our clear and concise language makes complex mathematical concepts accessible to readers with varying levels of mathematical background. Each concept is illustrated with examples and applications to demonstrate its relevance and practical significance in various domains. Emphasizing the practical applications of discrete mathematics, we explore its use in computer science, cryptography, optimization, network theory, and other scientific disciplines. Each chapter includes exercises and problems to reinforce learning, test understanding, and encourage further exploration of the material. Additional resources, including supplementary materials, interactive exercises, and solutions to selected problems, are available online to complement the book and facilitate self-study and review. Whether you are a student looking to gain a solid foundation in discrete mathematics, an educator seeking to enhance your teaching materials, or a practitioner interested in applying discrete mathematics techniques to real-world problems, "Mastering Discrete Mathematics" offers valuable insights and resources to support your learning and exploration of this fascinating field.
Maple And Mathematica
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Author : Inna K. Shingareva
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-29
Maple And Mathematica written by Inna K. Shingareva 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 2010-04-29 with Computers categories.
In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number ? began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated ? (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The ?rst formula for computing decimal digits of ? was disc- ered by J. Machin (in 1706), who was the ?rst to correctly compute 100 digits of ?. Then many people used his method, e. g. , W. Shanks calculated ? with 707 digits (within 15 years), although due to mistakes only the ?rst 527 were correct. For the next examples, we can mention the history of computing the ?ne-structure constant ? (that was ?rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri?ed rigorously [25]. These errors could have a large e?ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing?, we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.
Mathematics Unveiled Exploring The Wonders Of The World Through Numbers
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-26
Mathematics Unveiled Exploring The Wonders Of The World Through Numbers written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-26 with Mathematics categories.
Prepare to embark on an intellectual odyssey that will transform your perception of the world through the lens of mathematics. Discover the captivating secrets of numbers, unravel the elegance of geometry, and delve into the enigmatic realm of statistics. Witness the power of calculus as it unlocks the language of change and explore the enchanting world of topology, where surfaces and knots reveal hidden connections. Within these pages, you will embark on a journey of exploration and discovery, unearthing the profound impact of mathematics on our lives. Unveil the mysteries of prime numbers and Fibonacci sequences, uncovering the patterns that permeate nature and art. Explore the captivating world of geometry, where shapes and solids reveal their hidden symmetries and relationships. Delve into the realm of algebra, where equations hold the keys to solving complex problems and unlocking the secrets of variables and operations. Discover the power of polynomials, exponents, and logarithms, witnessing the elegance and simplicity that lies beneath complex mathematical expressions. Navigate the uncharted waters of statistics, where probability unveils the secrets of chance and uncertainty. Explore the concepts of central tendency, correlation, and regression, gaining insights into the patterns and trends that shape our world. Unravel the complexities of calculus, revealing the language of change and its applications in physics, engineering, and optimization. Venture into the enchanting world of topology, where surfaces and knots reveal hidden connections and properties. Discover the profound impact of mathematics on shaping our technological world, from computer graphics and robotics to physics and cosmology. This book is an invitation to explore the wonders of mathematics, to appreciate its beauty and elegance, and to unlock its transformative power. Prepare to be amazed by the intricate patterns and hidden symmetries that govern our universe, and to gain a deeper understanding of the world around you. If you like this book, write a review!
Cryptology
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Author : Richard Klima
language : en
Publisher: CRC Press
Release Date : 2018-12-07
Cryptology written by Richard Klima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Computers categories.
Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Playfair, ADFGVX, Alberti, Vigene re, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book.