Showing posts with label Chaos Theory. Show all posts
Showing posts with label Chaos Theory. Show all posts
Thursday, May 2, 2013
Pattern Recognition and Classification: An Introduction
Pattern Recognition and Classification: An Introduction PDF Download Ebook. Geoff Dougherty offers complete subjects, fundamental to many of the automated electronic systems in use today. Pattern recognition techniques are concerned with the theory and algorithms of putting abstract objects, e.g., measurements made on physical objects, into categories.
Typically the categories are assumed to be known in advance, although there are techniques to learn the categories (clustering). Methods of pattern recognition are useful in many applications such as information retrieval, data mining, document image analysis and recognition, computational linguistics, forensics, biometrics and bioinformatics.
This text presents a comprehensive introduction to the core concepts involved in automated pattern recognition. It is designed to be accessible to newcomers from varied backgrounds, but it will also be useful to researchers and professionals in image and signal processing and analysis, and in computer vision.
It starts with a short introduction, where the nomenclature is defined. Analog to digital conversion is briefly discussed with a focus on how it impacts further signal analysis. Commonly used preprocessing methods are then described. Fundamental concepts of supervised and unsupervised classification are presented in an informal, rather than axiomatic, treatment so that the reader can quickly acquire the necessary background for applying the concepts to real problems.
More advanced topics, such as semi-supervised classification, combining clustering algorithms and relevance feedback are addressed in the later chapters. This book is suitable for undergraduates and graduates studying pattern recognition and machine learning.
A comprehensive yet accessible introduction to the core concepts behind pattern recognition, this book presents the fundamental concepts of supervised and unsupervised classification in an informal treatment, allowing the reader to quickly apply these concepts. It contains exercises at the end of each chapter, with solutions available to instructors online.
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Wednesday, May 1, 2013
A First Course In Chaotic Dynamical Systems, Devaney
A First Course In Chaotic Dynamical Systems: Theory And Experiment PDF Download Ebook. Robert L. Devaney introduces modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics.
It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton’s method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.
Chaotic Dynamical Systems Software, Labs 1–6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with this book, it leads to a rich understanding of this emerging field.
Professor Robert L. Devaney received his A.B. from Holy Cross College and his Ph.D. from the University of California at Berkeley in 1973. He taught at Northwestern University, Tufts University, and the University of Maryland before coming to Boston University in 1980. He served there as chairman of the Department of Mathematics from 1983 to 1986. His main area of research is dynamical systems, including Hamiltonian systems, complex analytic dynamics, and computer experiments in dynamics.
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Invitation to Dynamical Systems, Edward R. Scheinerman
Invitation to Dynamical Systems PDF Download Ebook. Prof. Edward R. Scheinerman enables readers from a wide range of backgrounds and with limited technical prerequisites to explore the dynamical systems and mathematics in general. The book is designed for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.
Rather than a theorem-proof-corollary-remark style of exposition, it stresses geometry, intuition, and dynamical systems. An appendix explains how to write MATLAB, Mathematica, and C programs to compute dynamical systems. Scheinerman is a very energetic instructor in person, and he engages the class with a lot of interesting examples and demonstrations. So this book reads like a casual lecture, and it is informal. But his energy does not always translate well to text.
The structure of the book is similar to any intro textbooks whereas he lays a foundation and then builds. There are sanity checks as he adds more difficult concepts. And he uses the same basic example to contrast new material with what you have learned. And he does a great job of teaching Discrete and Continous systems at the same time.
There is also a more subtle idea illustrated here. In the picture there are a variety of fractal textures: the water, the clouds, the grass, and the trees. To compute the fractal dimension of a set, one overlays the set with grids of varying degrees of coarseness. The tiles surround the pool are therefore reminiscent of the box-counting definition of fractal dimension.
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Tuesday, April 30, 2013
Introduction to Applied Nonlinear Dynamical Systems and Chaos 2e
Introduction to Applied Nonlinear Dynamical Systems and Chaos 2nd Edition PDF Download Ebook. Stephen Wiggins places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.
This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. Author has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics.
This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps.
The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view. Each chapter starts with a narrative and ends with a large collection of excellent exercises. Overall, the book provides a very accessible, up-to-date and comprehensive introduction to applied dynamical systems.
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Systems Thinking: Managing Chaos and Complexity 3e
Systems Thinking: Managing Chaos and Complexity 3rd Edition: A Platform for Designing Business Architecture PDF Download Ebook. Jamshid Gharajedaghi synthesizes systems theory and interactive design, providing an operational methodology for defining problems and designing solutions in an environment increasingly characterized by chaos and complexity.
The current edition has been updated to include all new chapters on self-organizing systems, Holistic, Operational, and Design thinking. Gharajedaghi covers recent crises in financial systems and job markets, the housing bubble, and environment, assessing their impact on systems thinking. There are four new chapters on self-organizing systems, holistic thinking, operational thinking, and design thinking.
This text covers the recent crises in financial systems and job markets globally, the housing bubble, and the environment, assessing their impact on systems thinking. Companion website to accompany the book is available at interactdesign.com. It explores the development of complex systems and advocates for iterative design principles as a foundational philosophy for dealing with complex, chaotic systems.
The volume discusses system theory and changes to traditional paradigms in light of emerging technologies and business methodologies and explores case studies from industry leaders that showcase these systems philosophies.
Author challenged us to think backwards from an ideal competitive position instead of forwards from our existing position with all its constraints. The result was bolder thinking about change. Jamshid forces a realistic assessment of a company's strengths and weaknesses, an idealistic view of what it could be, and creates the path from point A to point B.
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Differential Equations, Dynamical Systems and an Introduction to Chaos 3e
Differential Equations, Dynamical Systems, and an Introduction to Chaos 3rd Edition PDF Download Ebook. Morris W. Hirsch, Stephen Smale and Robert L. Devaney offer theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering.
Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations.
Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems. Classic text by three of the world's most prominent mathematicians, this text continues the tradition of expository excellence by containing updated material and expanded applications for use in applied studies.
This book covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.
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