A First Course In Dynamics

Author : Boris Hasselblatt,Anatole Katok
Publisher : Cambridge University Press
Page : 436 pages
File Size : 54,7 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521583047

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A First Course in Dynamics by Boris Hasselblatt,Anatole Katok Pdf

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 : Jonathan E. Martin
Publisher : John Wiley & Sons
Page : 345 pages
File Size : 48,5 Mb
Release : 2013-05-23
Category : Science
ISBN : 9781118687895

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Mid-Latitude Atmospheric Dynamics by Jonathan E. Martin Pdf

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
Page : 544 pages
File Size : 52,6 Mb
Release : 1983-11-10
Category : Mathematics
ISBN : 0521274249

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A First Course in Fluid Dynamics by A. R. Paterson Pdf

This book introduces the subject of fluid dynamics from the first principles.

Author : Richard A. Holmgren
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 52,9 Mb
Release : 2012-09-05
Category : Mathematics
ISBN : 9781441987327

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A First Course in Discrete Dynamical Systems by Richard A. Holmgren Pdf

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 : Boris Hasselblatt,A. B. Katok
Publisher : Unknown
Page : 424 pages
File Size : 41,5 Mb
Release : 2003
Category : Mathematics
ISBN : 0521583047

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A First Course in Dynamics by Boris Hasselblatt,A. B. Katok Pdf

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 : H. Aref,S. Balachandar
Publisher : Cambridge University Press
Page : 405 pages
File Size : 45,7 Mb
Release : 2017-10-12
Category : Science
ISBN : 9781107178519

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A First Course in Computational Fluid Dynamics by H. Aref,S. Balachandar Pdf

This book provides a broad coverage of computational fluid dynamics that will interest engineers, astrophysicists, mathematicians, oceanographers and ecologists.

Author : Anatole Katok,A. B. Katok,Boris Hasselblatt
Publisher : Cambridge University Press
Page : 828 pages
File Size : 55,6 Mb
Release : 1995
Category : Mathematics
ISBN : 0521575575

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Introduction to the Modern Theory of Dynamical Systems by Anatole Katok,A. B. Katok,Boris Hasselblatt Pdf

A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.

Author : Robert L. Devaney
Publisher : Hachette UK
Page : 266 pages
File Size : 55,7 Mb
Release : 1992-10-21
Category : Science
ISBN : 9780813345475

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A First Course In Chaotic Dynamical Systems by Robert L. Devaney Pdf

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 : Marcelo R. M. Crespo da Silva
Publisher : Courier Dover Publications
Page : 722 pages
File Size : 50,5 Mb
Release : 2016-04-21
Category : Technology & Engineering
ISBN : 9780486797373

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Fundamentals of Dynamics and Analysis of Motion by Marcelo R. M. Crespo da Silva Pdf

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.

Author : Robert L. Devaney
Publisher : CRC Press
Page : 394 pages
File Size : 47,5 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429983115

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A First Course In Chaotic Dynamical Systems by Robert L. Devaney Pdf

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 labouratory 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 : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 43,6 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780521886802

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A First Course in Continuum Mechanics by Oscar Gonzalez,Andrew M. Stuart Pdf

The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.

Author : Oliver M. O'Reilly
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 48,7 Mb
Release : 2010-05-25
Category : Mathematics
ISBN : 9781441963604

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Engineering Dynamics by Oliver M. O'Reilly Pdf

This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.

Author : Suman Kumar Tumuluri
Publisher : CRC Press
Page : 338 pages
File Size : 46,6 Mb
Release : 2021-03-24
Category : Mathematics
ISBN : 9781000356717

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A First Course in Ordinary Differential Equations by Suman Kumar Tumuluri Pdf

A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover, sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2✕2 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 54,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Author : Donald D. Gray
Publisher : Water Resources Publication
Page : 518 pages
File Size : 46,9 Mb
Release : 2000
Category : Science
ISBN : 1887201114

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A First Course in Fluid Mechanics for Civil Engineers by Donald D. Gray Pdf