Libros de Matemática aplicada, página 2 de 20

It has been over a decade since the release first edition of the now classic original edition of Murray''s Mathematical Biology. Since then mathematical biology and medicine has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modelling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biomedical sciences and gives some indication of the wide spectrum of questions that modelling can address. Due to the tremendous development in recent years, this new edition is being published in two volumes. This second volume covers spatial models and biomedical applications. For this new edition, Murray covers certain items in depth, introducing new applications such as modelling growth and control of brain tumours, bacterial patterns, wound healing and wolf territoriality. In other areas, he discusses basic modelling concepts and provides further references as needed.He also provides even closer links between models and experimental data throughout the text. Graduate students and researchers will find this book invaluable as it gives an excellent background from which to begin genuinely practical interdisciplinary research in the biomedical sciences.

In recent years, interest-rate modeling has developed rapidly in terms of both practice and theory. The academic and practitioners'' communities, however, have not always communicated as productively as would have been desirable. As a result, their research programs have often developed with little constructive interference. In this book, Riccardo Rebonato draws on his academic and professional experience, straddling both sides of the divide to bring together and build on what theory and trading have to offer. Rebonato begins by presenting the conceptual foundations for the application of the LIBOR market model to the pricing of interest-rate derivatives. Next he treats in great detail the calibration of this model to market prices, asking how possible and advisable it is to enforce a simultaneous fitting to several market observables. He does so with an eye not only to mathematical feasibility but also to financial justification, while devoting special scrutiny to the implications of market incompleteness. Much of the book concerns an original extension of the LIBOR market model, devised to account for implied volatility smiles. This is done by introducing a stochastic-volatility, displaced-diffusion version of the model. The emphasis again is on the financial justification and on the computational feasibility of the proposed solution to the smile problem. This book is must reading for quantitative researchers in financial houses, sophisticated practitioners in the derivatives area, and students of finance.

Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work. This book will be of interest to researchers in numerical linear algebra and their students.

An update of the most accessible introductory number theory text available, this edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage. New to the Second Edition - Removal of all advanced material to be even more accessible in scope - New fundamental material, including partition theory, generating functions, and combinatorial number theory - Expanded coverage of random number generation, Diophantine analysis, and additive number theory - More applications to cryptography, primality testing, and factoring - An appendix on the recently discovered unconditional deterministic polynomial-time algorithm for primality testing Taking a truly elementary approach to number theory, this text supplies the essential material for a first course on the subject. Placed in highlighted boxes to reduce distraction from the main text, nearly 70 biographies focus on major contributors to the field. The presentation of over 1,300 entries in the index maximizes cross-referencing so students can find data with ease.

From a mathematical point of view physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems We have called attention to four aspects i A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions and subsequently uses as a starting point for a rigorous mathematical analysis Though differential equations are easy to formulate different mechanisms don t interact in infinites imal time intervals and so end up as separate terms in the equations they may be hard to interpret rigorously as infinitesimal generators Integral equations constitute an attractive alternative ii The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i level and phenomena at the p level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models iii Physiologically structured population models are ideally suited for the for mulation of evolutionary questions Apart from the special case of age see Charlesworth 1980 Yodzis 1989 Caswell 1989 and the references given there hardly any theory exists at th

The Wiley Trader's Advantage is a series of concise, highly focused books designed to keep savvy futures, options, bonds, and commodities traders abreast of the latest, most successful strategies and techniques used by the keenest minds in the business. Each title delivers timely, cutting-edge guidance on a key aspect of trading, including trading systems, portfolio management methods, computerized forecasting, and systems optimization. Focusing on the Fibonacci summation series - one of the most important mathematical presentations of natural phenomena ever discovered - Fibonacci Applications and Strategies for Traders is a complete, hands-on resource that shows how to measure price and time signals quickly and with unmatched accuracy using the logarithmic spiral and how to act on these analyses. This breakthrough trading guide first takes a fresh look at the classic principles and applications of Elliott Wave, then introduces the Fibonacci summation series, exploring its crucial role in architecture, engineering, nuclear science, and now, in stock and commodity trading. From here, Fibonacci expert Robert Fischer explains how the series is used to precisely measure equity and commodity price swings and to forecast short- and long-term correction targets. You'll learn how to accurately analyze price targets on market extensions, and how, by using the author's logarithmic spirals, you can easily develop price and time analyses with unheard of precision. No matter what your level of trading expertise, you'll easily follow the groundbreaking principles set forth in this guide to quickly calculate and predict key turning points in the commodity markets, analyze business and economic cycles, and discover entry and exit rules that make disciplined trading possible and profitable. Featuring an optimum mix of practical instruction and guidance, Fibonacci Applications and Strategies for Traders shows how to integrate the mathematical power and precision of Elliott Wave and Fibonacci numbers into your current trading system and boost your day-to-day portfolio management performance. Fischer shows how traders of stocks and futures can use Fibonacci numbers and relationships in a day-to-day trading decisions to dramatically improve the trading results. Teaches you methods to predict its length, and how to use a variety of strategies to predict how far a price will extend when the trend i

Since its original publication in 1990, Kenneth Falconer''s Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition. * Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals. * Each topic is carefully explained and illustrated by examples and figures. * Includes all necessary mathematical background material. * Includes notes and references to enable the reader to pursue individual topics. * Features a wide selection of exercises, enabling the reader to develop their understanding of the theory. * Supported by a Web site featuring solutions to exercises, and additional material for students and lecturers. Fractal Geometry: Mathematical Foundations and Applications is aimed at undergraduate and graduate students studying courses in fractal geometry. The book also provides an excellent source of reference for researchers who encounter fractals in mathematics, physics, engineering, and the applied sciences. Also by Kenneth Falconer and available from Wiley: Techniques in Fractal Geometry ISBN 0-471-95724-0 Please click here to download solutions to exercises found within this title: http: //www.wileyeurope.com/fractal

Mathematica is today''s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility."The Mathematica Guidebook for Graphics" provides a comprehensive step-by-step development of how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. Two-dimensional graphics, contour plots, plots of surfaces, free-form three-dimensional surfaces, and animations are the core topics. Hundreds of detailed examples and programs show a large variety of visualization techniques, algorithms, methods, and tricks. These tools allow the reader to create virtually any possible graphic, from simple curves to scientific visualizations and artistic images and logos.Mathematica graphics functions are discussed in detail, explained in numerous examples, and put to work in programs that are all contained on the accompanying DVD.Features of the book are: step-by-step introductions to all of Mathematica graphics capabilities; comprehensive presentation of two-and three-dimensional graphics primitives and directives, as well as plotting capabilities for functions and data; hundreds of unique and innovative scientific visualizations and artistic images; website for book with additional materials and updates; accompanying DVD contains all material as an electronic book with complete, executable Mathematica versions 4 and 5 compatible code and programs, rendered color graphics, and animations. Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site, which currently features more that 80,000 formulas and identities, and thousands of visualizations.

Arfken (Miami U., Oxford, Ohio) and Weber (U. of Virginia) offer a textbook with more than enough material for a two-semester undergraduate or graduate course. They include proofs as well as examples of almost all the mathematical relations, though in some cases mathematicians would scoff at the level of rigor. Some of the theorems they incorporate are usually not cited under the most general assumptions, but are tailored to the more restricted applications required by physics. Earlier editions appeared between 1966 and 1995; the fifth is revised to account for changes not so much in the field as in the content of standard courses.