Автор: Goodman Roe Название: Introduction to Stochastic Models: Second Edition ISBN: 0486450376 ISBN-13(EAN): 9780486450377 Издательство: Dover Рейтинг: Цена: 3028 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Newly revised by the author, this undergraduate-level text introduces the mathematical theory of probability and stochastic processes. Using both computer simulations and mathematical models of random events, it comprises numerous applications to the physical and biological sciences, engineering, and computer science. Subjects include sample spaces, probabilities distributions and expectations of random variables, conditional expectations, Markov chains, and the Poisson process. Additional topics encompass continuous-time stochastic processes, birth and death processes, steady-state probabilities, general queuing systems, and renewal processes. Each section features worked examples, and exercises appear at the end of each chapter, with numerical solutions at the back of the book. Suggestions for further reading in stochastic processes, simulation, and various applications also appear at the end.
Описание: Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. The final chapters explore several methods of canonical reduction, including those of unitary and orthogonal transformations. 1952 ed. Index. Appendix. Historical notes. Bibliographies. 275 problems.
Автор: Cinlar, Erhan Название: Introduction to Stochastic Processes ISBN: 0486497976 ISBN-13(EAN): 9780486497976 Издательство: Dover Рейтинг: Цена: 3442 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines. Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.
Автор: Schweber Silvan Название: An Introduction to Relativistic Quantum Field Theory ISBN: 0486442284 ISBN-13(EAN): 9780486442280 Издательство: Dover Рейтинг: Цена: 6890 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "Complete, systematic, self-contained...the usefulness and scope of application of such a work is enormous...combines thorough knowledge with a high degree of didactic ability and a delightful style." -- "Mathematical Reviews" In a relatively simple presentation that remains close to familiar concepts, this text for upper-level undergraduates and graduate students introduces the modern developments of quantum field theory. Starting with a review of the one-particle relativistic wave equations, it proceeds to a second-quantized description of a system of n particles, demonstrating the connection of this approach with the quantization of classical field theories. An examination of the restriction that symmetries impose on Lagrangians follows, along with a survey of their conservation laws. An analysis of simple models of field theories establishes the models' content, and the problematic aspects of quantized field theories are explored. Succeeding chapters present the Feynman-Dyson perturbation treatment of relativistic field theories, including an account of renormalization theory, and the formulation of field theory in the Heisenberg picture is discussed at length. The book concludes with an account of the axiomatic formulation of field theory and an introduction to dispersion theoretic methods, in addition to a set of problems designed to acquaint readers with aspects of field theory not covered in the text.
Автор: Crowell Richard Название: Introduction to Knot Theory ISBN: 0486468941 ISBN-13(EAN): 9780486468945 Издательство: Dover Рейтинг: Цена: 2062 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963 edition.
Автор: Helmberg Gilbert Название: Introduction to Spectral Theory in Hilbert Space ISBN: 0486466221 ISBN-13(EAN): 9780486466224 Издательство: Dover Рейтинг: Цена: 3028 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Starting with a definition of Hilbert space and its geometry, this text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Familiarity with analysis and analytic geometry is the only prerequisite. Extensive appendixes complement the text. 1969 edition.
Автор: Gnedenko B. V. Название: An Elementary Introduction to the Theory of Probability ISBN: 0486601552 ISBN-13(EAN): 9780486601557 Издательство: Dover Рейтинг: Цена: 1372 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Explores concept of probability, surveys rules for addition and multiplication of probabilities, conditional probability, total probability, Bayes formula, Bernoulli''s scheme, random variables, the Chebychev inequality, distribution curves, and the means by which an event is declared to be in practice impossible.
Автор: Alexandroff Paul Название: An Introduction to the Theory of Groups ISBN: 0486488136 ISBN-13(EAN): 9780486488134 Издательство: Dover Рейтинг: Цена: 1510 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement. 1959 edition.
Описание: This is a brief, modern introduction to the subject of ordinary differential equations, with an emphasis on stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for the advanced undergraduate or beginning graduate student who has had a first course in ordinary differential equations. The author begins with a general discussion of the linear equation and develops the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. He then introduces the nonhomogeneous linear equation and the important variation of parameters formula, by which, following a consideration of the nth-order linear equation, the solution of the nonhomogeneous nth-order linear equation is obtained. A chapter is then devoted to the linear equation with constant coefficients. The two following chapters are introductory discussions of stability theory for autonomous and nonautonomous systems. Included here are two results for nonlinear systems, Liapunov's direct method, and some results for the second-order linear equation. The final chapter takes up the problems of the existence and uniqueness of solutions and related topics. Two appendixes -- "Series Solutions of Second-Order Linear Equations" and "Linear Systems with Periodic Coefficients" -- are also provided, and there are problems at the end of each chapter.
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