A First Course In Dynamics PDF Download
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Author | : Boris Hasselblatt |
Publisher | : Cambridge University Press |
Total Pages | : 436 |
Release | : 2003-06-23 |
Genre | : Mathematics |
ISBN | : 9780521583046 |
Download A First Course in Dynamics Book in PDF, ePub and Kindle
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
Author | : Boris Hasselblatt |
Publisher | : Cambridge University Press |
Total Pages | : 436 |
Release | : 2003-06-23 |
Genre | : Mathematics |
ISBN | : 1316582655 |
Download A First Course in Dynamics Book in PDF, ePub and Kindle
The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course. The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
Author | : Richard A. Holmgren |
Publisher | : Springer Science & Business Media |
Total Pages | : 231 |
Release | : 2012-09-05 |
Genre | : Mathematics |
ISBN | : 1441987320 |
Download A First Course in Discrete Dynamical Systems Book in PDF, ePub and Kindle
Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Mathematica programs that illustrate the dynamics are included in an appendix.
Author | : Robert L. Devaney |
Publisher | : Hachette UK |
Total Pages | : 231 |
Release | : 1992-10-21 |
Genre | : Science |
ISBN | : 0813345472 |
Download A First Course In Chaotic Dynamical Systems Book in PDF, ePub and Kindle
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce 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 A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.
Author | : Jonathan E. Martin |
Publisher | : John Wiley & Sons |
Total Pages | : 345 |
Release | : 2013-05-23 |
Genre | : Science |
ISBN | : 1118687892 |
Download Mid-Latitude Atmospheric Dynamics Book in PDF, ePub and Kindle
This exciting text provides a mathematically rigorous yet accessible textbook that is primarily aimed at atmospheric science majors. Its accessibility is due to the texts emphasis on conceptual understanding. The first five chapters constitute a companion text to introductory courses covering the dynamics of the mid-latitude atmosphere. The final four chapters constitute a more advanced course, and provide insights into the diagnostic power of the quasi-geostrophic approximation of the equations outlined in the previous chapters, the meso-scale dynamics of thefrontal zone, the alternative PV perspective for cyclone interpretation, and the dynamics of the life-cycle of mid-latitude cyclones. Written in a clear and accessible style Features real weather examples and global case studies Each chapter sets out clear learning objectives and tests students’ knowledge with concluding questions and answers A Solutions Manual is also available for this textbook on the Instructor Companion Site www.wileyeurope.com/college/martin. “...a student-friendly yet rigorous textbook that accomplishes what no other textbook has done before... I highly recommend this textbook. For instructors, this is a great book if they don’t have their own class notes – one can teach straight from the book. And for students, this is a great book if they don’t take good class notes – one can learn straight from the book. This is a rare attribute of advanced textbooks.” Bulletin of the American Meteorological Society (BAMS), 2008
Author | : A. R. Paterson |
Publisher | : Cambridge University Press |
Total Pages | : 544 |
Release | : 1983-11-10 |
Genre | : Mathematics |
ISBN | : 9780521274241 |
Download A First Course in Fluid Dynamics Book in PDF, ePub and Kindle
This book introduces the subject of fluid dynamics from the first principles.
Author | : Anatole Katok |
Publisher | : Cambridge University Press |
Total Pages | : 828 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9780521575577 |
Download Introduction to the Modern Theory of Dynamical Systems Book in PDF, ePub and Kindle
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Author | : Robert Devaney |
Publisher | : CRC Press |
Total Pages | : 280 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 0429981937 |
Download An Introduction To Chaotic Dynamical Systems Book in PDF, ePub and Kindle
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
Author | : H. Aref |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2018 |
Genre | : Science |
ISBN | : 1107178517 |
Download A First Course in Computational Fluid Dynamics Book in PDF, ePub and Kindle
This book provides a broad coverage of computational fluid dynamics that will interest engineers, astrophysicists, mathematicians, oceanographers and ecologists.
Author | : Marcelo R. M. Crespo da Silva |
Publisher | : Courier Dover Publications |
Total Pages | : 722 |
Release | : 2016-04-21 |
Genre | : Technology & Engineering |
ISBN | : 0486797376 |
Download Fundamentals of Dynamics and Analysis of Motion Book in PDF, ePub and Kindle
Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.