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Introduction to Nonlinear Physics

2003-11-14 Science
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Release : 2003-11-14
Genre : Science
Kind : eBook
Book Rating : 145/5 ( reviews)

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Book Synopsis Introduction to Nonlinear Physics by : Lui Lam

Download or read book Introduction to Nonlinear Physics written by Lui Lam. This book was released on 2003-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.

Introduction To Nonlinear Dynamics For Physicists

1993-06-23 Science
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Release : 1993-06-23
Genre : Science
Kind : eBook
Book Rating : 122/5 ( reviews)

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Book Synopsis Introduction To Nonlinear Dynamics For Physicists by : Henry D I Abarbanel

Download or read book Introduction To Nonlinear Dynamics For Physicists written by Henry D I Abarbanel. This book was released on 1993-06-23. Available in PDF, EPUB and Kindle. Book excerpt: This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.

Nonlinear Dynamics

2022-03-13 Science
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Release : 2022-03-13
Genre : Science
Kind : eBook
Book Rating : 326/5 ( reviews)

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Book Synopsis Nonlinear Dynamics by : George Datseris

Download or read book Nonlinear Dynamics written by George Datseris. This book was released on 2022-03-13. Available in PDF, EPUB and Kindle. Book excerpt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.

Nonlinear Physics with Mathematica for Scientists and Engineers

2001-06-26 Mathematics
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Release : 2001-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 235/5 ( reviews)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns. This book was released on 2001-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems

1998-03-31 Science
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Release : 1998-03-31
Genre : Science
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems by : Lui Lam

Download or read book Nonlinear Physics For Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata And Complex Systems written by Lui Lam. This book was released on 1998-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.

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