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Foundations of Logic and Mathematics

Foundations of Logic and Mathematics Author Yves Nievergelt
ISBN-10 9781461201250
Release 2012-12-06
Pages 415
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This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.



Logic Mathematics and Computer Science

Logic  Mathematics  and Computer Science Author Yves Nievergelt
ISBN-10 9781493932238
Release 2015-10-13
Pages 391
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This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still remain unresolved? And the perennial question: In what ways are we going to use this material? Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition: "...All the results are proved in full detail from first principles...remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!...This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory." —MATHEMATICAL REVIEWS "Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences." —Zentralblatt MATH



Cryptographic Applications of Analytic Number Theory

Cryptographic Applications of Analytic Number Theory Author Igor Shparlinski
ISBN-10 3764366540
Release 2003-02-12
Pages 411
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The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.



Tatracrypt 01

Tatracrypt  01 Author Otokar Grošek
ISBN-10 UOM:39015056902300
Release 2002
Pages 139
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Tatracrypt 01 has been writing in one form or another for most of life. You can find so many inspiration from Tatracrypt 01 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Tatracrypt 01 book for free.



Introduction to Cryptography with Mathematical Foundations and Computer Implementations

Introduction to Cryptography with Mathematical Foundations and Computer Implementations Author Alexander Stanoyevitch
ISBN-10 9781439817636
Release 2010-08-09
Pages 669
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From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed. Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms. As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.



Mathematical Foundations of Computer Science 1988

Mathematical Foundations of Computer Science 1988 Author Michal P. Chytil
ISBN-10 354050110X
Release 1988-08-10
Pages 562
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This volume contains 11 invited lectures and 42 communications presented at the 13th Conference on Mathematical Foundations of Computer Science, MFCS '88, held at Carlsbad, Czechoslovakia, August 29 - September 2, 1988. Most of the papers present material from the following four fields: - complexity theory, in particular structural complexity, - concurrency and parellelism, - formal language theory, - semantics. Other areas treated in the proceedings include functional programming, inductive syntactical synthesis, unification algorithms, relational databases and incremental attribute evaluation.



Discrete Mathematics

Discrete Mathematics Author Rowan Garnier
ISBN-10 9781439812808
Release 2009-11-09
Pages 843
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Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 STANFORD:36105025888517
Release 2003
Pages
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Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.



Mathematical Foundations of Public Key Cryptography

Mathematical Foundations of Public Key Cryptography Author Xiaoyun Wang
ISBN-10 9781498702249
Release 2015-10-22
Pages 220
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In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and algebra knowledge supporting public-key cryptography. Rather than simply combining number theory and modern algebra, this textbook features the interdisciplinary characteristics of cryptography—revealing the integrations of mathematical theories and public-key cryptographic applications. Incorporating the complexity theory of algorithms throughout, it introduces the basic number theoretic and algebraic algorithms and their complexities to provide a preliminary understanding of the applications of mathematical theories in cryptographic algorithms. Supplying a seamless integration of cryptography and mathematics, the book includes coverage of elementary number theory; algebraic structure and attributes of group, ring, and field; cryptography-related computing complexity and basic algorithms, as well as lattice and fundamental methods of lattice cryptanalysis. The text consists of 11 chapters. Basic theory and tools of elementary number theory, such as congruences, primitive roots, residue classes, and continued fractions, are covered in Chapters 1-6. The basic concepts of abstract algebra are introduced in Chapters 7-9, where three basic algebraic structures of groups, rings, and fields and their properties are explained. Chapter 10 is about computational complexities of several related mathematical algorithms, and hard problems such as integer factorization and discrete logarithm. Chapter 11 presents the basics of lattice theory and the lattice basis reduction algorithm—the LLL algorithm and its application in the cryptanalysis of the RSA algorithm. Containing a number of exercises on key algorithms, the book is suitable for use as a textbook for undergraduate students and first-year graduate students in information security programs. It is also an ideal reference book for cryptography professionals looking to master public-key cryptography.



Language and Automata Theory and Applications

Language and Automata Theory and Applications Author Shmuel Tomi Klein
ISBN-10 9783319773131
Release 2018-04-06
Pages 321
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This book constitutes the refereed proceedings of the 12th International Conference on Language and Automata Theory and Applications, LATA 2018, held in Ramat Gan, Israel, in April 2018.The 20 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 58 submissions. The papers cover fields like algebraic language theory, algorithms for semi-structured data mining, algorithms on automata and words, automata and logic, automata for system analysis and programme verification, automata networks, automatic structures, codes, combinatorics on words, computational complexity, concurrency and Petri nets, data and image compression, descriptional complexity, foundations of finite state technology, foundations of XML, grammars (Chomsky hierarchy, contextual, unification, categorial, etc.), grammatical inference and algorithmic learning, graphs and graph transformation, language varieties and semigroups, language-based cryptography, mathematical and logical foundations of programming methodologies, parallel and regulated rewriting, parsing, patterns, power series, string processing algorithms, symbolic dynamics, term rewriting, transducers, trees, tree languages and tree automata, and weighted automata.



Discrete Mathematics with Applications

Discrete Mathematics with Applications Author Susanna Epp
ISBN-10 9780495391326
Release 2010-08-04
Pages 984
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Susanna Epp’s DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp’s emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.



Enigma

Enigma Author Władysław Kozaczuk
ISBN-10 UOM:39015054063360
Release 1984-04-01
Pages 348
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Enigma has been writing in one form or another for most of life. You can find so many inspiration from Enigma also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Enigma book for free.



The Psalms in Haiku Form

The Psalms in Haiku Form Author Richard Gwyn
ISBN-10 0852443536
Release 1997
Pages 176
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Presented in the ancient Japanese form of Haiku poetry, this vivid and deeply moving new translation of the Psalms is vivid and deeply moving. The rhythm of the 17-syllable verse, with its carefully structured pattern, introduces a meditative element to the ageless Psalms, reflecting the life of silent prayer and contemplation of a monk on the island monastery of Caldey. Here are praises to spiritual power presented in a stark and clear fashion. They will challenge those familiar with the Psalms to new insight, while introducing these ancient prayers to a whole new audience. Father Richard Gwyn was born in Pembroke Dock, Dyfed in 1918 and was a Brother of the Christian Schools for forty years, working in London and overseas - firstly in Rome, and then Canada, India, Jamaica and Nigeria. He transferred to the Cistercian Abbey on Caldey Island off the Welsh coast, where he was ordained priest.



Mathematical Foundations of Computer Science 2007

Mathematical Foundations of Computer Science 2007 Author Ludek Kucera
ISBN-10 9783540744559
Release 2007-08-15
Pages 764
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Annotation This book constitutes the refereed proceedings of the 32nd International Symposium on Mathematical Foundations of Computer Science, MFCS 2007, held in Cesk?? Krumlov, Czech Republic, August 26-31, 2007. The 61 revised full papers presented together with the full papers or abstracts of 5 invited talks were carefully reviewed and selected from 167 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, ranging from algorithms and data structures, to complexity, automata, semantics, logic, formal specifications, models of computation, concurrency theory, computational geometry, parallel and distributed computing, networks, bioinformatics, quantum computing, cryptography, knowledge-based systems, and artificial intelligence



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UVA:X006195256
Release 2005
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Foundations of Computer Science

Foundations of Computer Science Author IEEE Computer Society. Technical Committee on Mathematical Foundations of Computing
ISBN-10 0769518222
Release 2002
Pages 813
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Collects the 77 papers presented during the November 2002 symposium on the mathematical foundations of computing. Among the topics are abstract combinatorial programs and efficient property testers, a lower bound for testing 3-colorability in bounded degree graphs, a spectral algorithm for learning



Handbook of Applied Cryptography

Handbook of Applied Cryptography Author Alfred J. Menezes
ISBN-10 9781439821916
Release 1996-10-16
Pages 810
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Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptography It is a valuable source of the latest techniques and algorithms for the serious practitioner It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit It provides a mathematical treatment to accompany practical discussions It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.