Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory, Cenzer Douglas, Larson Jean, Porter Christopher, Zapletal Jindrich
Автор: Mendelson Elliott Название: Introduction to Mathematical Logic ISBN: 1482237725 ISBN-13(EAN): 9781482237726 Издательство: Taylor&Francis Рейтинг: Цена: 8184.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of G del, Church, Kleene, Rosser, and Turing.
The sixth edition incorporates recent work on G del's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.
Автор: Allday Название: Quarks, Leptons and the Big Bang, Third Edition ISBN: 1498773117 ISBN-13(EAN): 9781498773119 Издательство: Taylor&Francis Рейтинг: Цена: 7348.00 р. Наличие на складе: Ожидается поступление.
Описание:
CHOICE: Highly Recommended
Quarks, Leptons and The Big Bang, Third Edition, is a clear, readable and self-contained introduction to particle physics and related areas of cosmology. It bridges the gap between non-technical popular accounts and textbooks for advanced students. The book concentrates on presenting the subject from the modern perspective of quarks, leptons and the forces between them. This book will appeal to students, teachers and general science readers interested in fundamental ideas of modern physics. This edition brings the book completely up to date by including advances in particle physics and cosmology, such as the discovery of the Higgs boson, the LIGO gravitational wave discovery and the WMAP and PLANCK results.
Автор: Petr Hajek Название: Metamathematics of First-Order Arithmetic ISBN: 1107168414 ISBN-13(EAN): 9781107168411 Издательство: Cambridge Academ Рейтинг: Цена: 16743.00 р. 23918.00-30% Наличие на складе: Есть (1 шт.) Описание: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.
Автор: Hinman Название: Recursion-Theoretic Hierarchies ISBN: 1107168244 ISBN-13(EAN): 9781107168244 Издательство: Cambridge Academ Рейтинг: Цена: 23918.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory set out in this volume is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. The author develops a general theory from which the results of both areas can be derived, making the common themes clear.
Описание: Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.
Автор: Lamothe Gilles, Khoury Joseph Название: The Mathematics That Power Our World, The: How Is It Made? ISBN: 9813144084 ISBN-13(EAN): 9789813144088 Издательство: World Scientific Publishing Рейтинг: Цена: 3643.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition.
This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons.
Автор: Vasco Brattka, Hannes Diener, Dieter Spreen Название: Logic, Computation, Hierarchies ISBN: 1614517835 ISBN-13(EAN): 9781614517832 Издательство: Walter de Gruyter Цена: 23049.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
Автор: Chi Tat Chong, Liang Yu Название: Recursion Theory: Computational Aspects of Definability ISBN: 3110275554 ISBN-13(EAN): 9783110275551 Издательство: Walter de Gruyter Цена: 20712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory.The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Автор: Cunningham Название: Set Theory ISBN: 1107120322 ISBN-13(EAN): 9781107120327 Издательство: Cambridge Academ Рейтинг: Цена: 7602.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematicians have shown that virtually all mathematical concepts and results can be formalized within set theory. This textbook covers the fundamentals of abstract sets and develops these theories within the framework of axiomatic set theory. The proofs presented are rigorous, clear, and suitable for undergraduate and graduate students.
Can you really keep your eye on the ball? How is massive data collection changing sports?
Sports science courses are growing in popularity. The author's course at Roanoke College is a mix of physics, physiology, mathematics, and statistics. Many students of both genders find it exciting to think about sports. Sports problems are easy to create and state, even for students who do not live sports 24/7. Sports are part of their culture and knowledge base, and the opportunity to be an expert on some area of sports is invigorating. This should be the primary reason for the growth of mathematics of sports courses: the topic provides intrinsic motivation for students to do their best work.
From the Author:
The topics covered in Sports Science and Sports Analytics courses vary widely. To use a golfing analogy, writing a book like this is like hitting a drive at a driving range; there are many directions you can go without going out of bounds. At the driving range, I pick out a small target to focus on, and that is what I have done here. I have chosen a sample of topics I find very interesting. Ideally, users of this book will have enough to choose from to suit whichever version of a sports course is being run.
The book is very appealing to teach from as well as to learn from. Students seem to have a growing interest in ways to apply traditionally different areas to solve problems. This, coupled with an enthusiasm for sports, makes Dr. Minton's book appealing to me.--Kevin Hutson, Furman University
Автор: Katz Название: Introduction to Modern Cryptography, Second Edition ISBN: 1466570261 ISBN-13(EAN): 9781466570269 Издательство: Taylor&Francis Рейтинг: Цена: 15310.00 р. Наличие на складе: Нет в наличии.
Описание:
Cryptography is ubiquitous and plays a key role in ensuring data secrecy and integrity as well as in securing computer systems more broadly. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject.
The authors introduce the core principles of modern cryptography, with an emphasis on formal definitions, clear assumptions, and rigorous proofs of security. The book begins by focusing on private-key cryptography, including an extensive treatment of private-key encryption, message authentication codes, and hash functions. The authors also present design principles for widely used stream ciphers and block ciphers including RC4, DES, and AES, plus provide provable constructions of stream ciphers and block ciphers from lower-level primitives. The second half of the book covers public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, and El Gamal cryptosystems (and others), followed by a thorough treatment of several standardized public-key encryption and digital signature schemes.
Integrating a more practical perspective without sacrificing rigor, this widely anticipated Second Edition offers improved treatment of:
Stream ciphers and block ciphers, including modes of operation and design principles
Authenticated encryption and secure communication sessions
Hash functions, including hash-function applications and design principles
Attacks on poorly implemented cryptography, including attacks on chained-CBC encryption, padding-oracle attacks, and timing attacks
The random-oracle model and its application to several standardized, widely used public-key encryption and signature schemes
Elliptic-curve cryptography and associated standards such as DSA/ECDSA and DHIES/ECIES
Containing updated exercises and worked examples, Introduction to Modern Cryptography, Second Edition can serve as a textbook for undergraduate- or graduate-level courses in cryptography, a valuable reference for researchers and practitioners, or a general introduction suitable for self-study.
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