Автор: Smullyan, Raymond Название: A Beginner`s Guide to Mathematical Logic ISBN: 0486492370 ISBN-13(EAN): 9780486492377 Издательство: Dover Рейтинг: Цена: 2293 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. 2014 edition.
Описание: This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs. The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.
Описание: One of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, this classic offers a basic but thorough treatment of material that is assumed in many other studies but rarely available in concise form. Includes 190 problems, approximately half with answers. 1893 edition.
Описание: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Its central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. 1982 edition.
Описание: This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Holder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. 1992 edition.
Описание: Rigorous but not abstract, this intensive introductory treatment provides many of the advanced mathematical tools used in applications. It also supplies the theoretical background that makes most other parts of modern mathematical analysis accessible. Geared toward advanced undergraduates and graduate students in the physical sciences and applied mathematics. 1968 edition.
Описание: Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. This easy-to-read treatment employs simple notation and clear, complete proofs. From motivation to definition, it features concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. 1979 edition.
Автор: Nearing James Название: Mathematical Tools for Physics ISBN: 048647772X ISBN-13(EAN): 9780486477725 Издательство: Dover Рейтинг: Цена: 2293 р. Наличие на складе: Поставка под заказ.
Описание: Typical mathematical techniques of operations research and systems engineering are developed in this text, which applies these methods to the design and operation of civil engineering systems. Topics include optimization and design, plus basic and applied probability. Solutions to selected problems; solution guide available upon request. 1972 edition.
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