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SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Book Synopsis SuperFractals by : Michael Fielding Barnsley
Download or read book SuperFractals written by Michael Fielding Barnsley and published by Cambridge University Press. This book was released on 2006-09-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
Book Synopsis SuperFractals by : Michael Fielding Barnsley
Download or read book SuperFractals written by Michael Fielding Barnsley and published by Cambridge University Press. This book was released on 2006-09-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
This book offers a comprehensive explanation of iterated function systems and how to use them in generation of complex objects. Discussion covers the most popular fractal models applied in the field of image synthesis; surveys iterated function system models; explores algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms, and more. The book includes both descriptive text and pseudo-code samples for the convenience of graphics application programmers.
Book Synopsis Iterated Function Systems for Real-Time Image Synthesis by : Slawomir Nikiel
Download or read book Iterated Function Systems for Real-Time Image Synthesis written by Slawomir Nikiel and published by Springer Science & Business Media. This book was released on 2007-05-28 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive explanation of iterated function systems and how to use them in generation of complex objects. Discussion covers the most popular fractal models applied in the field of image synthesis; surveys iterated function system models; explores algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms, and more. The book includes both descriptive text and pseudo-code samples for the convenience of graphics application programmers.
Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
Book Synopsis Fractals Everywhere by : Michael F. Barnsley
Download or read book Fractals Everywhere written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
Book Synopsis Hadron models and related New Energy issues by : Florentin Smarandache
Download or read book Hadron models and related New Energy issues written by Florentin Smarandache and published by Infinite Study. This book was released on 2007-01-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.
Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald Edgar
Download or read book Measure, Topology, and Fractal Geometry written by Gerald Edgar and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Book Synopsis Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff's Ideas by : Janusz Czyz
Download or read book Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff's Ideas written by Janusz Czyz and published by World Scientific. This book was released on 1994-01-14 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Book Synopsis Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas by : Janusz Czy?
Download or read book Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas written by Janusz Czy? and published by World Scientific. This book was released on 1994 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1
Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald A. Edgar
Download or read book Measure, Topology, and Fractal Geometry written by Gerald A. Edgar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1
Download or read book The Software Encyclopedia written by and published by . This book was released on 1988 with total page 1912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
