From Newton to Mandelbrot

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Publisher : Springer Science & Business Media
ISBN 13 : 3642972624
Total Pages : 212 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis From Newton to Mandelbrot by : Dietrich Stauffer

Download or read book From Newton to Mandelbrot written by Dietrich Stauffer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Newton to Mandelbrot takes the student on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, and, the most modern and exciting of all, the physics of fractals. The treatment is confined to the essentials of each area, and short computer programs, numerous problems, and beautiful colour illustrations round off this unusual textbook. Ideally suited for a one-year course in theoretical physics it will prove indispensable in preparing and revising for exams.

From Newton to Mandelbrot

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Author :
Publisher : Springer
ISBN 13 : 3642867804
Total Pages : 233 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis From Newton to Mandelbrot by : Dietrich Stauffer

Download or read book From Newton to Mandelbrot written by Dietrich Stauffer and published by Springer. This book was released on 2013-11-11 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Newton to Mandelbrot takes the student on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, and, the most modern and exciting of all, the physics of fractals. The treatment is confined to the essentials of each area, and short computer programs, numerous problems, and beautiful color illustrations round off this unusual textbook. Ideally suited for a one-year course in theoretical physics it will also prove useful in preparing and revising for exams. This edition is corrected and includes a new appendix on elementary particle physics, answers to all short questions, and a diskette where a selection of executable programs exploring the fractal concept can be found.

From Newton to Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 1489910859
Total Pages : 573 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis From Newton to Chaos by : Archie E. Roy

Download or read book From Newton to Chaos written by Archie E. Roy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Newton’s Method and Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400922817
Total Pages : 227 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Newton’s Method and Dynamical Systems by : H.-O. Peitgen

Download or read book Newton’s Method and Dynamical Systems written by H.-O. Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thinking in Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 3662030144
Total Pages : 329 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Thinking in Complexity by : Klaus Mainzer

Download or read book Thinking in Complexity written by Klaus Mainzer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity and nonlinearity are prominent features in the evolution of matter, life, and human society. Even our mind seems to be governed by the nonlinear dynamics of the complex networks in our brain. This book considers complex systems in the physical and biological sciences, cognitive and computer sciences, social and economic sciences, and philosophy and history of science. An in terdisciplinary methodology is introduced to explain the emergence of order in nature and mind and in the econ omy and society by common principles. These methods are sometimes said to foreshadow the new sciences of complexity characterizing the scientific deve10pment of the 21 st century. The book critically an alyzes the successes and limits of this approach, its sys tematic foundations, and its historical and philosophical background. An epilogue discusses new standards of eth ical behavior which are demanded by the complex prob lems of nature and mind, economy and society.

Fractal Analysis: Basic Concepts And Applications

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Publisher : World Scientific
ISBN 13 : 9811239452
Total Pages : 244 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fractal Analysis: Basic Concepts And Applications by : Carlo Cattani

Download or read book Fractal Analysis: Basic Concepts And Applications written by Carlo Cattani and published by World Scientific. This book was released on 2022-02-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.

The Mandelbrot Set, Theme and Variations

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Publisher : Cambridge University Press
ISBN 13 : 9780521774765
Total Pages : 88 pages
Book Rating : 4.7/5 (747 download)

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Book Synopsis The Mandelbrot Set, Theme and Variations by : Tan Lei

Download or read book The Mandelbrot Set, Theme and Variations written by Tan Lei and published by Cambridge University Press. This book was released on 2000-04-13 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has a remarkably rich geometric and combinatorial structure. This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as researchers in dynamical systems and Kleinian groups.

Fractal Concepts in Condensed Matter Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540050445
Total Pages : 228 pages
Book Rating : 4.0/5 (54 download)

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Book Synopsis Fractal Concepts in Condensed Matter Physics by : Tsuneyoshi Nakayama

Download or read book Fractal Concepts in Condensed Matter Physics written by Tsuneyoshi Nakayama and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

On Clusters and Clustering

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Publisher : Elsevier
ISBN 13 : 1483297527
Total Pages : 422 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis On Clusters and Clustering by : P.J. Reynolds

Download or read book On Clusters and Clustering written by P.J. Reynolds and published by Elsevier. This book was released on 2014-06-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to answer why there is so much interest in clusters. Clusters occur on all length scales, and as a result occur in a variety of fields. Clusters are interesting scientifically, but they also have important consequences technologically. The division of the book into three parts roughly separates the field into small, intermediate, and large-scale clusters. Small clusters are the regime of atomic and molecular physics and chemistry. The intermediate regime is the transitional regime, with its characteristics including the onset of bulk-like behavior, growth and aggregation, and the beginning of materials properties. Large-scale clusters reflect more condensed-matter and materials science aspects and it is in this regime that fractals make their most dramatic appearance. This well-integrated and pedagogical overview of the wide field of clusters in which both theoretical and experimental work is covered, will be of interest not only to students, advanced undergraduates and graduate students, but also to researchers in the various subfields surveyed.

Chaos and Fractals

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218238
Total Pages : 894 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2006-05-05 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Heaven's Fractal Net

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Publisher : Indiana University Press
ISBN 13 : 9780253216205
Total Pages : 346 pages
Book Rating : 4.2/5 (162 download)

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Book Synopsis Heaven's Fractal Net by : William Joseph Jackson

Download or read book Heaven's Fractal Net written by William Joseph Jackson and published by Indiana University Press. This book was released on 2004 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD contains ... "Two hours of Supercomputed frame-by-frame fractal animation. Includes Mandelbrot Zooms, Julia Promenades, Cascade maps and the Lorenz Attractor. Forty six scenes with original music."--[container of 1990 VHS release].

Fractals and Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642514359
Total Pages : 363 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fractals and Disordered Systems by : Armin Bunde

Download or read book Fractals and Disordered Systems written by Armin Bunde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference

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Publisher : World Scientific
ISBN 13 : 9814548669
Total Pages : 334 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference by : Manuel G Velarde

Download or read book Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference written by Manuel G Velarde and published by World Scientific. This book was released on 1995-10-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise the invited lectures and an edited sampling of few other contributions to the 4th Teaching Modern Physics Conference held in Badajoz (Spain) on July 1992, devoted to THERMODYNAMICS AND STATISTICAL PHYSICS: CRITICAL PHENOMENA, PHASE TRANSITIONS, NONLINEAR EVOLUTION, FRACTALS, COMPLEXITY,… COMPUTER SIMULATIONS forms the core of the contents.

Physiological Signal Processing, Modelling and System Implementation in Cardiography, Speech and Hearing

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Publisher : CRC Press
ISBN 13 : 9782881249914
Total Pages : 214 pages
Book Rating : 4.2/5 (499 download)

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Book Synopsis Physiological Signal Processing, Modelling and System Implementation in Cardiography, Speech and Hearing by : R. H. Mitchell

Download or read book Physiological Signal Processing, Modelling and System Implementation in Cardiography, Speech and Hearing written by R. H. Mitchell and published by CRC Press. This book was released on 1994 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractals for the Classroom

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Publisher : Springer Science & Business Media
ISBN 13 : 1475721722
Total Pages : 468 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fractals for the Classroom by : Heinz-Otto Peitgen

Download or read book Fractals for the Classroom written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

The Beauty of Fractals

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540158516
Total Pages : 226 pages
Book Rating : 4.1/5 (585 download)

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Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance

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Author :
Publisher : World Scientific
ISBN 13 : 9811217173
Total Pages : 329 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance by : Alberto Strumia

Download or read book From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance written by Alberto Strumia and published by World Scientific. This book was released on 2020-07-02 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.