Foundations of Logic and Mathematics

Author: Yves Nievergelt
Publisher: Springer Science & Business Media
ISBN: 146120125X
Format: PDF, Kindle
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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

Author: Yves Nievergelt
Publisher: Springer
ISBN: 1493932233
Format: PDF, ePub
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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

Author: Igor Shparlinski
Publisher: Springer Science & Business Media
ISBN: 9783764366544
Format: PDF
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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.

Mathematical Foundations of Computer Science 1988

Author: Michal P. Chytil
Publisher: Springer Science & Business Media
ISBN: 9783540501107
Format: PDF, Docs
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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.

Introduction to Cryptography with Mathematical Foundations and Computer Implementations

Author: Alexander Stanoyevitch
Publisher: CRC Press
ISBN: 1439817634
Format: PDF, ePub
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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.

Books in Print

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Format: PDF, Mobi
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Mathematical Foundations of Computer Science 2012

Author: Branislav Rovan
Publisher: Springer
ISBN: 3642325890
Format: PDF
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This volume constitutes the refereed proceedings of the 37th International Symposium on Mathematical Foundations of Computer Science, MFCS 2012, held in Bratislava, Slovakia, in August 2012. The 63 revised full papers presented together with 8 invited talks were carefully reviewed and selected from 162 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.

The Psalms in Haiku Form

Author: Richard Gwyn
Publisher: Gracewing Publishing
ISBN: 9780852443538
Format: PDF, Kindle
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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.