Fractals: A Very Short Introduction, Falconer Kenneth
Автор: Peitgen Название: Fractals for the Classroom ISBN: 0387977228 ISBN-13(EAN): 9780387977225 Издательство: Springer Цена: 4674 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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 unpa
alleled.
Автор: Feder Название: Fractals ISBN: 0306428512 ISBN-13(EAN): 9780306428517 Издательство: Springer Рейтинг: Цена: 13980 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This lovely little book will take off and fly on its own power, but the author has asked me to write a few words, and one should not say no to a friend.
Автор: Jun Kigami Название: Analysis on Fractals ISBN: 0521057116 ISBN-13(EAN): 9780521057110 Издательство: Cambridge Academ Рейтинг: Цена: 4787 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
Автор: Benoit Mandelbrot Название: Fractals, Graphics, and Mathematics Education ISBN: 0883851695 ISBN-13(EAN): 9780883851692 Издательство: Cambridge Academ Рейтинг: Цена: 4266 р. Наличие на складе: Поставка под заказ.
Описание: Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also
appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences,
uncommon for students to see in maths and science classes.
This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes,
to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new
approaches.Additional Information:General (US: Trade) BIC:PBKV Vector & tensor analysis
Автор: Jun Kigami Название: Analysis on Fractals ISBN: 0521793211 ISBN-13(EAN): 9780521793216 Издательство: Cambridge Academ Рейтинг: Цена: 8014 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
Описание: Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th
century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of
human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations
especially of finance and physics.
It covers a range of multidisciplinary topics - from the biology of aging, through the self-similar shape of plants, image decompression and
solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.
Описание: A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date
summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory. Understanding macroscopic properties of matter starting from microscopic
chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport
processes such as diffusion, reaction, conduction and viscosity.
Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized. Both
Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The
surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an
understanding of nonequilibrium entropy production in terms of fractal measures and attractors.
The theory is particularly useful for the description of many-particle systems
with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.
Автор: Mandelbrot Название: Fractals and Chaos ISBN: 0387201580 ISBN-13(EAN): 9780387201580 Издательство: Springer Рейтинг: Цена: 8882 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking at the world.
Автор: Peitgen Название: Chaos and Fractals ISBN: 0387202293 ISBN-13(EAN): 9780387202297 Издательство: Springer Рейтинг: Цена: 7947 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covers 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 book provides ten interactive JAVA-applets.
Автор: Lasota Название: Chaos, Fractals, and Noise ISBN: 0387940499 ISBN-13(EAN): 9780387940496 Издательство: Springer Рейтинг: Цена: 9345 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples are drawn from a variety of the sciences to illustrate the utility of the techniques presented.
Автор: Peitgen Название: Fractals for the Classroom ISBN: 038797041X ISBN-13(EAN): 9780387970417 Издательство: Springer Цена: 3455 р. Наличие на складе: Поставка под заказ.
Описание: 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
Автор: Mandelbrot Название: Fractals and Scaling In Finance ISBN: 0387983635 ISBN-13(EAN): 9780387983639 Издательство: Springer Рейтинг: Цена: 8414 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book provides his papers.
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