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Discrete Dynamical Systems, Bifurcations and Chaos in Economics, Volume 204 (Mathematics in Science and Engineering)
Wei-Bin Zhang
Manufacturer: Elsevier Science
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ASIN: 0444521976 |
Book Description
This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics.
Key Features:
· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics.
· Mathematical definitions and theorems are introduced in a systematic and easily accessible way.
· Examples are from almost all fields of economics; technically proceeding from basic to advanced topics.
· Lively illustrations with numerous figures.
· Numerous simulation to see paths of economic dynamics.
· Comprehensive treatment of the subject with a comprehensive and easily accessible approach.
Key Features:
· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics.
· Mathematical definitions and theorems are introduced in a systematic and easily accessible way.
· Examples are from almost all fields of economics; technically proceeding from basic to advanced topics.
· Lively illustrations with numerous figures.
· Numerous simulation to see paths of economic dynamics.
· Comprehensive treatment of the subject with a comprehensive and easily accessible approach.
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Applications of Nonstandard Finite Difference Schemes
Manufacturer: World Scientific Publishing Company
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ASIN: 981024133X |
Customer Reviews:
Potentially great.......2001-09-21
I have only had a borrowed copy for a few days, but this could be the biggest break through since the PC.
Everyone who models ODEs & PDEs with finite differences
should have this book.
Well written, but the math is dense.
Book Description
Covers major types of classical equations: operator equations, functional equations, difference equations, integro-differential equations and more. Clear organization and copious references make it suitable for graduate students as well as scientists, technologists and mathematicians.
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Advances in Difference Equations
Manufacturer: CRC
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ASIN: 9056995219 |
Book Description
The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.
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Analytic theory of the Harish-Chandra C-function (Lecture notes in mathematics ; 429)
Leslie Cohn
Manufacturer: Springer-Verlag
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Binding: Unknown Binding
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ASIN: 0387070176 |
Book Description
This extensively revised and expanded third edition of the Artech House bestseller, Computational Electrodynamics: The Finite-Difference Time-Domain Method, offers you the most up-to-date and definitive resource on this critical method for solving Maxwell's equations. There has been considerable advancement in FDTD computational technology over the past few years, and this new edition brings you the very latest details with four new invited chapters on advanced techniques for PSTD, unconditional stability, provably stable FDTD-FETD hybrids, and hardware acceleration. Moreover, you find many completely new sections throughout the book, including major updates on convolutional PML ABCs; dispersive, nonlinear, classical-gain, and quantum-gain materials; and micro-, nano-, and bio- photonics.
This single resource provides complete guidance on FDTD techniques and applications, from basic concepts, to the current state-of-the-art. It enables you to more efficiently and effectively design and analyze key electronics and photonics technologies, including wireless communications devices, high-speed digital and microwave circuits, and integrated optics. You find sample FDTD codes written in Matlab® that serve as a self-guided refresher, and examples of how to use the FDTD method on a wide range of projects in the field. What's more, to supplement the third edition, the authors and publisher have created a Website where you can find solutions to the problems, sample FDTD PML codes, text updates/errata, and downloadable color graphics and videos. Consequently, this new edition is the ideal textbook for both a senior-year undergraduate elective course and a graduate course in computational electrodynamics.
Customer Reviews:
Brilliant textbook on computational EM.......2007-02-04
This is THE STANDARD reference on FDTD methods in computational electrodynamics. Moreover, even if time-domain is not your main thing but you still work with computational EM, add this to your library. It is wonderfully written, simultaneously easy to read and deeply comprehensive. You can get your own codes going by reading this book. After applying the things you learn here you will have a renewed inspiration in Maxwell's equations and E&M.
The book for FDTD.......2005-11-09
This book is an excellent and thoroughly enjoyable reference/tutorial. The book is suitable for use in an advanced undergraduate/first-year graduate class with a prerequisite of one semester of undergraduate E&M. (The authors' preface indicates that this prerequisite is not entirely necessary, but I don't see how you could understand what is going on without it.)
The book can also be used for self-study. In this vein, the book's website contains 1d-, 2d-, and 3d-matlab scripts that are excellent for learning how to actually implement all of this stuff. The third edition weighs in at just over 1000 pages with a price tag of $139, which is $10 cheaper than the 2nd edition was when it came out.
Allen Taflove is, perhaps, the leader in the development and use of this technique. Allen is now at Northwestern. Susan Hagness was a recent PhD student of his (1998) and is now an associate professor in the Electrical and Computer Engineering department at the University of Wisconsin. The authors are at the forefront in the development of applications.
The third edition is significantly larger than the 2nd edition and includes several applications chapters that were cowritten with the major researchers in the field. The extraordinary explosion of application areas for FDTD is captured in the later chapters, and these chapters give students and new researchers a clear flavor of the vitality and interest in the field which extends from the detection of breast cancer to ELF pulses produced by earthquakes. It is refreshing to find authors who so readily give credit to others in their field. Taflove and Hagness have been very gracious in this regard, and as a consequence have a much better book and a very detailed and useful bibliography.
I very heartily recommend this book to anyone who wishes to use FDTD techniques.
Agree with Prior Reviewer.......2002-09-21
I cannot quite honestly give this book (*first* edition, not second) a full five-point-zero stars because it somewhat comes apart the closer one gets to the final chapters. I read this book a few years ago, so I apologize for lack of specificity. However, I completely agree with the prior reviewer who stated that this book is better than Kunz's and Luebbers' book, which I appears to be a slightly edited compilation of previous publications --- even if that is completely untrue. In fact, in my opinion, Taflove's book (again, first edition) is a *much* better textbook than Kunz and Luebbers.
The Book News review is somewhat misleading. Taflove derives the difference equations in full, painstaking detail. (Perhaps the Book News reviewer fell asleep during that portion.) For me, this was the most valuable and educational portion of the book. Example applications have their place, but only after understanding the basic principles. Taflove did an excellent job in describing these principles, which go far beyond the basic Yee algorithm (e.g. extrapolation techniques and incorporation of BC's). Those readers familiar with other FD books should understand what I'm saying here: Anyone who reads this book and understands it will not only be conversant about FDTD but should also be able to write solid working codes. With the K&L book, this is very questionable.
A good overview of FD-TD method.......2000-05-25
A good intro book for the FD-TD method with many applications. The list of references at the end of each chapter is also very useful. Some of the material is now outdated and needs corrections, but otherwise a great reference for CEM. I would recommend this book over the Kunz & Luebbers FD-TD book.
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Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics)
Ravi P. Agarwal
Manufacturer: CRC
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ASIN: 0824790073 |
Book Description
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations.
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Difference Equations with Applications to Queues (Pure and Applied Mathematics)
David L. Jagerman
Manufacturer: CRC
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ASIN: 082470388X |
Book Description
"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"
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Difference Methods and Their Extrapolations (Applications of Mathematics)
G. I. Marchuk , and
V. V. Shaidurov
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 0387907947 |
Customer Reviews:
An excellent selection of the young Augustine's philosophy........1999-03-05
This edition of Augustine's early writings is an excellent text for undergraduates as well as a fine collection for specialists. One can see the formative years of Augustine's Christian thought on a variety of topics in nice translations with useful a useful synopsis of each work included. Well worth the money and essential reading for those who wish to know this greatest of saints better. You may also want to read his Confessions before or during your reading of these texts for a fuller picture of his life.
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- Dynamical Systems with Applications using Maple
- Elektrodynamische Maassbestimmungen insbesondre über elektrische schwingungen
- Error-Correcting Codes and Finite Fields (Oxford Applied Mathematics and Computing Science Series)
- Essentials of Engineering Mathematics: Worked Examples and Problems, 2nd Edition
- Finite-Elemente-Methode: Rechnergestützte Einführung
- Frontiers of Numerical Analysis: Durham 2004 (Universitext)
- Fundamental Mathematics through Applications (3rd Edition) (Akst & Bragg Developmental Mathematics Series)
- Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics (3rd Edition)
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