Visualisierung In Mathematik Und Naturwissenschaften PDF Download
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| Author | : Hartmut Jürgens |
| Publisher | : Springer-Verlag |
| Total Pages | : 151 |
| Release | : 2013-03-08 |
| Genre | : Computers |
| ISBN | : 364283809X |
Download Visualisierung in Mathematik und Naturwissenschaften Book in PDF, ePub and Kindle
Das Buch gibt einen Querschnitt durch das Spektrum der Anwendungen der Computergraphik in Mathematik und Naturwissenschaften. Dabei werden auch neue computergraphische Algorithmen, komplexe Anwenderpakete und sogar Hardwarelösungen diskutiert. Die Beiträge in diesem Band, die auf Vorträgen der ersten Bremer Computer-Graphik-Tage vom Juli 1988 basieren, sind entsprechend vielfältig: Sie reichen von der Berechnung und Visualisierung mathematischer Objekte und Fraktale über Probleme des Medical Imaging bei der Darstellung volumetrischer Daten, Untersuchungen von Oberflächentexturen für Bildsynthese bis hin zur Diskussion verschiedener Ansätze der Parallelisierung computergraphischer Algorithmen. Bei der Darstellung neuer Lösungswege für komplexe Probleme der Visualisierung wurde besonderer Wert auf die praktischen Details gelegt, so daß der interessierte Leser diese Lösungen auch in einer eigenen Implementierung nachvollziehen kann.
| Author | : Heinz-Otto Peitgen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 513 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461244064 |
Download Fractals for the Classroom Book in PDF, ePub and Kindle
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.
| Author | : Earl Mac Cormac |
| Publisher | : John Benjamins Publishing |
| Total Pages | : 371 |
| Release | : 1996-06-28 |
| Genre | : Psychology |
| ISBN | : 902728489X |
Download Fractals of Brain, Fractals of Mind Book in PDF, ePub and Kindle
This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of-chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the ‘margins’ of our capacity for phenomenal experience, are ‘fractal-limit phenomena’. Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)
| Author | : A.J. Crilly |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 278 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461230349 |
Download Fractals and Chaos Book in PDF, ePub and Kindle
This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.
| Author | : Jules Bloomenthal |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 360 |
| Release | : 1997-08 |
| Genre | : Computers |
| ISBN | : 9781558602335 |
Download Introduction to Implicit Surfaces Book in PDF, ePub and Kindle
Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics students, and hobbyists a new range of capabilities for the modeling of complex geometric objects. In contrast to traditional parametric surfaces, implicit surfaces can easily describe smooth, intricate, and articulatable shapes. These powerful yet easily understood surfaces are finding use in a growing number of graphics applications. This comprehensive introduction develops the fundamental concepts and techniques of implicit surface modeling, rendering, and animating in terms accessible to anyone with a basic background in computer graphics. + provides a thorough overview of implicit surfaces with a focus on their applications in graphics + explains the best methods for designing, representing, and visualizing implicit surfaces + surveys the latest research With contributions from seven graphics authorities, this innovative guide establishes implicit surfaces as a powerful and practical tool for animation and rendering.
| Author | : Oliver Deussen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 314 |
| Release | : 2005-02-07 |
| Genre | : Computers |
| ISBN | : 9783540405917 |
Download Digital Design of Nature Book in PDF, ePub and Kindle
What is computer graphics and what are the conceptual tasks of research in this area? To the average person the term still conveys more or less the design of - gos and the manipulation of pictures with the help of image-editing programs. However, during the past four decades, computer graphics has evolved into an innovative multifaceted ?eld of research and computing that affects many other sciences. In many areas and for many problems we can best convey an und- standing through images that trigger our sense with the highest capability: our eye. And, what is more, aside from algorithms, formulas, and tables, the c- puter graphics scientist often is able to create beauty. Though it is a beauty of its own, it often fascinates the viewer, especially when complex aesthetic images emerge from simple mathematical concepts. Also, there are only a few other areas that advance as dynamically as inf- matics and especially computer graphics. While CPU capacity still increases and is almost doubled every 18 months, the rendering speed and ef?ciency of graphics boards has increased even more during recent years. Today, images can be rendered in real time that some years ago still required several hours of computing. Parallel to the rapid improvement of computer hardware, many newalgorithms weredevelopedthattoday form the basis for some fundamental changes and achievements in graphics.
| Author | : Ulrich Dierkes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 528 |
| Release | : 2013-11-27 |
| Genre | : Mathematics |
| ISBN | : 3662027917 |
Download Minimal Surfaces I Book in PDF, ePub and Kindle
Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature.
| Author | : Robert Osserman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 279 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662034840 |
Download Geometry V Book in PDF, ePub and Kindle
Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function.
| Author | : Gerold Baier |
| Publisher | : World Scientific |
| Total Pages | : 412 |
| Release | : 1991-03-29 |
| Genre | : |
| ISBN | : 981461890X |
Download A Chaotic Hierarchy Book in PDF, ePub and Kindle
This collection of articles introduces the idea of a hierarchical order in chaotic systems and natural phenomena. To understand nature, nonlinear sciences use a multidisciplinary perspective. Therefore the book integrates research work of different fields: experimental evidence for the theory drawn from physics, biology and chemistry; theoretical progress in mathematical treatment, numerical techniques and graphical methods of nonlinear sciences; and to not-yet-understood philosophical and fundamental problems related to chaos and cosmos, chaos and quantum mechanics or evolutionary dynamics. Featuring the most recent advances in nonlinear dynamics this collection should provide an indispensable reference source and starting point for further research concerning dynamical and hierarchical chaotic systems. Besides this book is in honor of Professor O E Rössler, one of the pioneers of Chaos Theory, who celebrated his 50th birthday in May 1990. Contents:Hierarchies of Dynamical Systems (M Klein & G Baier)The Chaotic Hierarchy (O E Rössler)Phase Regulation of Coupled Oscillators and Chaos (R H Abraham)Symbolic Dynamics in the Belousov-Zhabotinskii Reaction: From Rössler's Intuition to Experimental Evidence for Shil'nikov's Homoclinic Chaos (F Argoul et al.)Determinism in a World of Non-Invertible Transformations (H Degn)Structural, Functional and Dynamical Hierarchies in Neural Networks (A V Holden)Climbing Up Dynamical Hierarchy (K Kaneko)Chaotic Hierarchy from the One-Dimensional Box-Within-a-Box Bifurcations Structure Properties (Ch Mira)The Peroxidase-Oxidase Reaction: A Case for Chaos in the Biochemistry of the Cell (L F Olsen et al.)Experimental Progress on the Ladder Towards Higher Chaos (J Peinke et al.)Conjugate Pair of Representations in Chaos and Quantum Mechanics (K Tomita) Readership: Mathematicians, mathematical physicists and condensed matter physicists. Keywords:Nonlinear Dynamics;Chaos;Hyperchaos;Dynamic Hierarchies;Ordinary Differential Equations;Bifurcations
| Author | : Dieter Jacob |
| Publisher | : John Wiley & Sons |
| Total Pages | : 683 |
| Release | : 2006-03-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3527605509 |
Download Basic Research and Technologies for Two-Stage-to-Orbit Vehicles Book in PDF, ePub and Kindle
Focusing on basic aspects of future reusable space transportation systems and covering overall design, aerodynamics, thermodynamics, flight dynamics, propulsion, materials, and structures, this report presents some of the most recent results obtained in these disciplines. The authors are members of three Collaborative Research Centers in Aachen, Munich and Stuttgart concerned with hypersonic vehicles. A major part of the research presented here deals with experimental and numerical aerodynamic topics ranging from low speed to hypersonic flow past the external configuration and through inlet and nozzle. Mathematicians and engineers jointly worked on aspects of flight mechanics like trajectory optimization, stability, control and flying qualities. Structural research and development was predominantly coupled to the needs for high temperature resistant structures for space vehicles.
