Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation "of "the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over""100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication.
Автор: Carroll Lewis Название: The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale ISBN: 0486204936 ISBN-13(EAN): 9780486204932 Издательство: Dover Рейтинг: Цена: 14020.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Whimsically and delightfully presented mathematical recreations by the author of Alice in Wonderland are solved by arithmetic, algebra, geometry, trigonometry, differential calculus and transcendental properties. 6 illustrations. Two books bound as one.
Название: First Spanish Reader : A Beginner`s Dual-Language Book ISBN: 0486258106 ISBN-13(EAN): 9780486258102 Издательство: Dover Рейтинг: Цена: 9890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Especially designed for the beginning student, this handy volume helps students learn Spanish by presenting simple, easy-to-read adaptations of classic Spanish stories and other material -- with complete faithful English translations on the facing pages. The selections, by significant writers of the past and present (Don Juan Manuel, Luis Taboada, Juan Jos Milla, Eufronio Viscarra, Ricardo Palma, Lope de Rueda, Enrique Amorim, Juan Jos Arreola, and other noted writers), derive from the best and most genuine Hispanic tradition, and are revealing of the life and psychology of the Spanish-speaking peoples. The dual-language book will enable those readers with the most limited knowledge of the language to enjoy reading in the original Spanish from the very first day of instruction. Vocabularies and exercises are included as special aids for the student.
Автор: Curry Haskell B. Название: Foundations of Mathematical Logic ISBN: 0486634620 ISBN-13(EAN): 9780486634623 Издательство: Dover Рейтинг: Цена: 24780.00 T Наличие на складе: Невозможна поставка. Описание: This book is a thoroughly documented and comprehensive account of the constructive theory of the first-order predicate calculus. This is a calculus that is central to modern mathematical logic and important for mathematicians, philosophers, and scientists whose work impinges upon logic. Professor Curry begins by asking a simple question: What is mathematical logic? If we can define logic as "the analysis and criticism of thought" (W. E. Johnson), then mathematical logic is, according to Curry, "a branch of mathematics which has much the same relation to the analysis and criticism of thought as geometry does to the science of space." The first half of the book gives the basic principles and outlines of the field. After a general introduction to the subject, the author discusses formal methods including algorithms and epitheory. A brief treatment of the Markov treatment of algorithms is included here. The elementary facts about lattices and similar algebraic systems are then covered. In the second half of the book Curry investigates the possibility for a formulation that expresses the meaning to be attached to the logical connectives and to develop the properties that follow from the assumptions so motivated. The author covers positive connectives: implication, conjunction, and alternation. He then goes on to negation and quantification, and concludes with modal operations. Extensive use is made in these latter chapters of the work of Gentzen. Lists of exercises are included. Haskell B. Curry, Evan Pugh Research Professor, Emeritus, at Pennsylvania State University, was a member of the Institute for Advanced Study, Princeton; a former Director of the Institute for Foundational Research, the University of Amsterdam; and President of the Association for Symbolic Logic. His book avoids a doctrinaire stance, presenting various interpretations of logical systems, and offers philosophical and reflective as well as mathematical perspectives.
Автор: Hodel, Richard Название: An Introduction to Mathematical Logic ISBN: 0486497852 ISBN-13(EAN): 9780486497853 Издательство: Dover Рейтинг: Цена: 37230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy. An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of Godel, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.
Автор: DeLong Howard Название: A Profile of Mathematical Logic ISBN: 0486434753 ISBN-13(EAN): 9780486434759 Издательство: Dover Рейтинг: Цена: 20640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding, rather than technique, and focuses on such topics as the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic after more than 2,000 years of traditional logic, the nature of the formal axiomatic method and the reasons for its use, and the main results of metatheory and their philosophic import. The treatment of the Godel metatheorems is especially detailed and clear, and answers to the problems appear at the end.
Автор: Gardner, Martin Название: My Best Mathematical and Logic Puzzles ISBN: 0486281523 ISBN-13(EAN): 9780486281520 Издательство: Dover Рейтинг: Цена: 5750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Craig Larman again delivers a clear path for students to learn object-oriented analysis and design through his clear and precise writing style. Larman teaches newcomers to OOA/D learn how to "think in objects" by presenting three iterations of a single, cohesive case study, incrementally introducing the requirements and OOA/D activities, principles, and patterns that are most critical to success.
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