Devaney, Robert L. 1948
Overview
Works:  75 works in 439 publications in 6 languages and 10,139 library holdings 

Genres:  Conference papers and proceedings Nonfiction television programs Educational television programs Textbooks Science television programs Educational films Filmed lectures 
Roles:  Author, Editor, Interviewee, Actor, Other 
Classifications:  QA614.86, 515.352 
Publication Timeline
.
Most widely held works by
Robert L Devaney
An introduction to chaotic dynamical systems by
Robert L Devaney(
Book
)
73 editions published between 1985 and 2003 in 4 languages and held by 1,597 WorldCat member libraries worldwide
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 bestselling text, Devaney includes new material on the orbit diagram from 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. Publisher description
73 editions published between 1985 and 2003 in 4 languages and held by 1,597 WorldCat member libraries worldwide
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 bestselling text, Devaney includes new material on the orbit diagram from 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. Publisher description
Chaos and fractals : the mathematics behind the computer graphics by
Robert L Devaney(
Book
)
20 editions published between 1989 and 2014 in English and held by 905 WorldCat member libraries worldwide
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 67, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z > z² + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications.  from dust jacket
20 editions published between 1989 and 2014 in English and held by 905 WorldCat member libraries worldwide
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 67, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z > z² + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications.  from dust jacket
Chaos, fractals, and dynamics : computer experiments in mathematics by
Robert L Devaney(
Book
)
22 editions published between 1989 and 2000 in 3 languages and held by 723 WorldCat member libraries worldwide
Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of handson computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamicschaos, iteration, and stabilityare illustrated via computer projects
22 editions published between 1989 and 2000 in 3 languages and held by 723 WorldCat member libraries worldwide
Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of handson computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamicschaos, iteration, and stabilityare illustrated via computer projects
Differential equations by
Paul Blanchard(
Book
)
53 editions published between 1996 and 2012 in English and Undetermined and held by 665 WorldCat member libraries worldwide
"Incorporating an innovative modeling approach, this text for a onesemester differential equations course emphasizes conceptual understanding to help students relate information taught in the classroom to realworld experiences. Going beyond a traditional emphasis on technique, the authors focus on understanding how differential equations are formulated and interpreting their meaning to applied models from a variety of disciplines. A threepronged qualitative, numeric, and analytic approach stresses visualizing differential equations geometrically, utilizing the latest computational technology to investigate the behavior of solutions, and predicting the behavior of solutions as they apply to models. The presentation weaves various points of view together so students become adept at moving between different representations to solve nonlinear differential equations equally well as traditional linear equations. Certain models reappear throughout the text as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the longterm behavior of these recurring models. Students will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom."
53 editions published between 1996 and 2012 in English and Undetermined and held by 665 WorldCat member libraries worldwide
"Incorporating an innovative modeling approach, this text for a onesemester differential equations course emphasizes conceptual understanding to help students relate information taught in the classroom to realworld experiences. Going beyond a traditional emphasis on technique, the authors focus on understanding how differential equations are formulated and interpreting their meaning to applied models from a variety of disciplines. A threepronged qualitative, numeric, and analytic approach stresses visualizing differential equations geometrically, utilizing the latest computational technology to investigate the behavior of solutions, and predicting the behavior of solutions as they apply to models. The presentation weaves various points of view together so students become adept at moving between different representations to solve nonlinear differential equations equally well as traditional linear equations. Certain models reappear throughout the text as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the longterm behavior of these recurring models. Students will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom."
A first course in chaotic dynamical systems : theory and experiment by
Robert L Devaney(
Book
)
33 editions published between 1992 and 1999 in English and held by 553 WorldCat member libraries worldwide
This 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 integrate
33 editions published between 1992 and 1999 in English and held by 553 WorldCat member libraries worldwide
This 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 integrate
Differential equations, dynamical systems, and an introduction to chaos by
Morris W Hirsch(
Book
)
24 editions published between 2003 and 2009 in English and held by 481 WorldCat member libraries worldwide
This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout
24 editions published between 2003 and 2009 in English and held by 481 WorldCat member libraries worldwide
This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout
Complex dynamical systems : the mathematics behind the Mandelbrot and Julia sets by
Robert L Devaney(
Book
)
16 editions published between 1994 and 1996 in English and held by 412 WorldCat member libraries worldwide
16 editions published between 1994 and 1996 in English and held by 412 WorldCat member libraries worldwide
Chaos, fractals and dynamics : computer experiments in mathematics by
Robert L Devaney(
Visual
)
15 editions published between 1989 and 2001 in English and Undetermined and held by 230 WorldCat member libraries worldwide
"Robert Devaney communicates his deep understanding as well as his enthusiasm for chaos, fractals, and dynamical systems. Starting at a level suitable for wellprepared high school students, he tells the mathematical story behind these fascinating topics. Equations and graphs are clearly shown with computergenerated characters, and Devaney's explanations are lucid and instructive. Illustrating the mathematics are forays into the colorful, unpredictable world of fractals and Julia sets. Devaney explains how the computer is used to generate the pictures and shows how the various colors are chosen for graphical representations ... Though the mathematical background required is elementary, those at the collegiate level and beyond will appreciate ... the clarity of exposition and the sheer beauty of the graphics."Container
15 editions published between 1989 and 2001 in English and Undetermined and held by 230 WorldCat member libraries worldwide
"Robert Devaney communicates his deep understanding as well as his enthusiasm for chaos, fractals, and dynamical systems. Starting at a level suitable for wellprepared high school students, he tells the mathematical story behind these fascinating topics. Equations and graphs are clearly shown with computergenerated characters, and Devaney's explanations are lucid and instructive. Illustrating the mathematics are forays into the colorful, unpredictable world of fractals and Julia sets. Devaney explains how the computer is used to generate the pictures and shows how the various colors are chosen for graphical representations ... Though the mathematical background required is elementary, those at the collegiate level and beyond will appreciate ... the clarity of exposition and the sheer beauty of the graphics."Container
Complex dynamics : twentyfive years after the appearance of the Mandelbrot set : proceedings of an AMSIMSSIAM Joint Summer
Research Conference on Complex DynamicsTwentyfive Years after the Appearance of the Mandelbrot Set, June 1317, 2004, Snowbird,
Utah by AMSIMSSIAM Joint Summer Research Conference on Complex Dynamics: Twentyfive Years after the Appearance of the Mandelbrot
Set(
Book
)
12 editions published in 2006 in English and held by 221 WorldCat member libraries worldwide
12 editions published in 2006 in English and held by 221 WorldCat member libraries worldwide
Mastering differential equations : the visual method by
Robert L Devaney(
Visual
)
3 editions published in 2011 in English and held by 115 WorldCat member libraries worldwide
Twentyfour lectures (30 minutes per lecture) taught by Boston University Professor Robert L. Devaney
3 editions published in 2011 in English and held by 115 WorldCat member libraries worldwide
Twentyfour lectures (30 minutes per lecture) taught by Boston University Professor Robert L. Devaney
Transition to chaos : the orbit diagram and the Mandelbrot Set by
Robert L Devaney(
Visual
)
11 editions published between 1990 and 2008 in English and held by 113 WorldCat member libraries worldwide
Dr. Devaney explores and explains two of the images that arise in the study of dynamical systems, the orbit diagram and the Mandelbrot Set. The main goal of the lecture is to describe the relationship between these two images: how they are generated as well as what they mean mathematically
11 editions published between 1990 and 2008 in English and held by 113 WorldCat member libraries worldwide
Dr. Devaney explores and explains two of the images that arise in the study of dynamical systems, the orbit diagram and the Mandelbrot Set. The main goal of the lecture is to describe the relationship between these two images: how they are generated as well as what they mean mathematically
Fractals : a tool kit of dynamics activities by
Jonathan Choate(
Book
)
2 editions published in 1999 in English and held by 98 WorldCat member libraries worldwide
Reveals the complicated and rich geometry of natural objects and how these objects can often be modeled with fractals
2 editions published in 1999 in English and held by 98 WorldCat member libraries worldwide
Reveals the complicated and rich geometry of natural objects and how these objects can often be modeled with fractals
Iteration : a tool kit of dynamics activities by
Jonathan Choate(
Book
)
2 editions published in 1999 in English and held by 71 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 71 WorldCat member libraries worldwide
Chaos : a tool kit of dynamics activities by
Robert L Devaney(
Book
)
4 editions published between 1999 and 2000 in English and held by 67 WorldCat member libraries worldwide
4 editions published between 1999 and 2000 in English and held by 67 WorldCat member libraries worldwide
The Mandelbrot and Julia sets : a tool kit of dynamics activities by
Robert L Devaney(
Book
)
2 editions published in 2000 in English and held by 62 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 62 WorldCat member libraries worldwide
Fractal geometry of the Mandelbrot set(
Visual
)
1 edition published in 1996 in English and held by 52 WorldCat member libraries worldwide
Devaney shows how the swirling Mandelbrot set is generated from a simple quadratic equation. Explores various patterns and order within the chaos. Using supercomputer animation, explores exploding Julia sets
1 edition published in 1996 in English and held by 52 WorldCat member libraries worldwide
Devaney shows how the swirling Mandelbrot set is generated from a simple quadratic equation. Explores various patterns and order within the chaos. Using supercomputer animation, explores exploding Julia sets
Ecuaciones diferenciales by
Paul Blanchard(
Book
)
3 editions published in 1999 in Spanish and held by 32 WorldCat member libraries worldwide
3 editions published in 1999 in Spanish and held by 32 WorldCat member libraries worldwide
Student solutions manual for Differential equations by
Paul Blanchard(
Book
)
4 editions published between 1998 and 2002 in English and held by 22 WorldCat member libraries worldwide
4 editions published between 1998 and 2002 in English and held by 22 WorldCat member libraries worldwide
The Science of fractal images by
M. F Barnsley(
Book
)
4 editions published in 1988 in English and Undetermined and held by 2 WorldCat member libraries worldwide
This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, HeinzOtto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by HeinzOtto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudocode or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics
4 editions published in 1988 in English and Undetermined and held by 2 WorldCat member libraries worldwide
This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, HeinzOtto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by HeinzOtto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudocode or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics
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Related Identities
 Hirsch, Morris W. 1933 Author
 Smale, Stephen 1930 Author
 Keen, Linda Other Honoree Editor
 Alligood, Kathleen T.
 Blanchard, Paul 1951 Author
 Hall, Glen R.
 Branner, Bodil
 Nitecki, Zbigniew Editor
 Key Curriculum Press
 Conference Board of the Mathematical Sciences
Useful Links
Associated Subjects
Algebras, Linear Bifurcation theory Chaotic behavior in systems Computer graphics Computer graphicsMathematics Devaney, Robert L., Differentiable dynamical systems Differential equations Domains of holomorphy Douady, Adrien Dynamics Engineering mathematics Equations, Quadratic Fractals Julia sets Laplace transformation Linear systems Mandelbrot, Benoit B Mandelbrot sets Mappings (Mathematics) Mathematical models Mathematics MathematicsData processing Nonlinear theories Numbers, Complex Polynomials Quantum chaos System theory
Alternative Names
Devaney
Devaney, Bob 1948
Devaney, R. L.
Devaney, Robert
Devaney, Robert 1948
Devaney, Robert L.
Devaney, Robert Luke 1948
Robert Devaney American mathematician
Robert Devaney Amerikaans wiskundige
Robert Devaney matematico statunitense
Robert Devaney USamerikanischer Mathematiker
デバニー, ロバート・L
デバネー, R. L.
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