Описание: Biology could well be the new frontier for applied mathematicians. This book demonstrates the major role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and bioscientists to mathematical modelling.
Автор: John Banks Название: Chaos: A Mathematical Introduction ISBN: 0521531047 ISBN-13(EAN): 9780521531047 Издательство: Cambridge Academ Рейтинг: Цена: 5411 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
Автор: J. N. Islam Название: An Introduction to Mathematical Cosmology ISBN: 0521496500 ISBN-13(EAN): 9780521496506 Издательство: Cambridge Academ Рейтинг: Цена: 13427 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction to general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This new edition contains a rigorous derivation of the Robertson-Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.
Описание: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It
systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions.
The uniqueness of two-dimensional problems is also examined from the variational viewpoint.
The accuracy of the two-dimensional equations is judged by comparing the
dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it
is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
Описание: Introducing the reader to the area of inverse problems, this work has two aims. The first is to outline the basic notions and difficulties encountered with ill-posed problems. The second is to present two nonlinear inverse problems - the inverse spectral problem and the inverse scattering problem.
Описание: Contains solved economics problems that familiarize students with the methods and topics of mathematics as applied in a mathematical economics course. This work has chapters on: comparative statics and concave programming; phase diagrams; simultaneous differential equations and simultaneous difference equations; and optimal control theory.
Описание: The book is based on the author's modeling and simulation experience in science and engineering and as a consultant. It is intended as a first introduction to the subject, which may be easily read by scientists, engineers and students at the undergraduate level. The only mathematical prerequisites needed are some calculus and linear algebra - other ideas will be developed in the course of the book. The reader will find answers to basic questions such as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? How does one set up a mathematical model? What is simulation, parameter estimation, validation? The book aims to be a practical guide, enabling the reader to set up simple mathematical models on his own and to interpret his own and other people's results critically. To achieve this, many examples from various fields such as biology, ecology, medicine, mechanical, electrical, chemical and process engineering are discussed in detail. Appropriate software to solve the mathematical problems is suggested, with an emphasis on open source software. While software is used to solve most of the mathematical problems, it is nevertheless tried to put the reader mathematically on firm ground. Trap-doors and problems that may arise in the modeling process, in the numerical treatment of the models or in their interpretation are indicated, and the reader is referred to the literature where necessary.
Описание: This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.
Автор: Oden, J. Tinsley Название: Introduction to mathematical modeling ISBN: 1118019032 ISBN-13(EAN): 9781118019030 Издательство: Wiley Рейтинг: Цена: 10868 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An important resource, this book provides a short-course in nonlinear continuum mechanics, contains a brief account of electromagnetic wave theory and Maxwell`s equations as well as an introductory account of quantum mechanics, and presents a brief introduction to statistical mechanics of systems in thermodynamic equilibrium.
Автор: Wong, Chun Wa Название: Introduction to Mathematical Physics ISBN: 0199641390 ISBN-13(EAN): 9780199641390 Издательство: Oxford Academ Рейтинг: Цена: 5725 р. Наличие на складе: Поставка под заказ.
Описание: Introduction to Mathematical Physics explains why and how mathematics is needed in describing physical events in space. It helps physics undergraduates master the mathematical tools needed in physics core courses. It contains advanced topics for graduate students, short tutorials on basic mathematics, and an appendix on Mathematica.
Описание: This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.
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