Author: Thaddeus Rutkowski
Publisher: Behler Publications
ISBN: 1933016167
Size: 80.96 MB
Format: PDF, Kindle
View: 5890
In this offbeat coming-of-age novel, a biracial narrator tells of growing up in rural America and later escaping to a new life in a city.Early on, the boy witnesses his father's struggles with idealism, alcoholism and an unrealized art career. The boy's mother tries to comfort him with her own brand of Eastern wisdom, but her statements only create more confusion. After a series of almost surreal incidents involving parents, teachers and the children around him, the boy manages to move away to attend college. During and after school, he travels in search of companionship, but finds nothing that lasts. Eventually, he settles in a city and begins to build a life. Not surprisingly, his preoccupations dog his personal relationships—until he succeeds in putting his past in perspective.

The Fractal Geometry Of Nature

Author: Benoit B. Mandelbrot
Publisher: Macmillan
ISBN: 9780716711865
Size: 62.57 MB
Format: PDF, Mobi
View: 6287
Three classic fractals, tamed. Galaxies and eddies. Scaling fractals. Nonscaling fractals. Self-mapping fractals. Randomness. Stratified random fractals. Fractional brown fractals. A book-within-the-book, in color. Random tremas; texture. Miscellany. Of men and ideas.

Physics And Fractal Structures

Author: Jean-François Gouyet
Publisher: Springer Verlag
ISBN: 9780387941530
Size: 12.72 MB
Format: PDF, Mobi
View: 1432
Fractals are the result of 70 years of research in many fields and they reveal new approaches to methods of study in many disciplines. This book highlights the structures of fractals in a number of disciplines: turbulence, chaos, fracture, percolation, diffusion fronts, aggregation, phase transitions, particle trajectories, and transport phenomena. Includes a preface by Benoit Mandelbrot--"discoverer" of the Mandelbrot set. 150 illustrations. 6 tables. Approx.

Fractals A Very Short Introduction

Author: Kenneth Falconer
Publisher: OUP Oxford
ISBN: 0191663441
Size: 77.85 MB
Format: PDF, ePub, Docs
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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Author: Hendrik Adolf Lauwerier
ISBN: 9780691024455
Size: 61.66 MB
Format: PDF, Mobi
View: 5660
Fractals are shapes in which an identical motif repeats itself on an ever diminishing scale. A coastline, for instance, is a fractal, with each bay or headland having its own smaller bays and headlands--as is a tree with a trunk that separates into two smaller side branches, which in their turn separate into side branches that are smaller still. No longer mathematical curiosities, fractals are now a vital subject of mathematical study, practical application, and popular interest. For readers interested in graphic design, computers, and science and mathematics in general, Hans Lauwerier provides an accessible introduction to fractals that makes only modest use of mathematical techniques. Lauwerier calls this volume a "book to work with." Readers with access to microcomputers can design new figures, as well as re-create famous examples. They can start with the final chapter, try out one of the programs described there (preferably in a compiled version such as TURBO BASIC), and consult the earlier chapters for whatever is needed to understand the fractals produced in this way. The first chapter, which builds on the relationship of binary number systems to the "tree fractal" described above, is the best place to start if one has no computer. There will be much to enjoy on the way, including the beautiful color illustrations.

Numerical Data Fitting In Dynamical Systems

Author: Klaus Schittkowski
Publisher: Springer Science & Business Media
ISBN: 1441957626
Size: 42.44 MB
Format: PDF, Kindle
View: 4816
Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain the behaviour of systems, or to optimize design and production. As soon as a mathematical model contains differential dependencies from an additional parameter, typically the time, we call it a dynamical model. There are two key questions always arising in a practical environment: 1 Is the mathematical model correct? 2 How can I quantify model parameters that cannot be measured directly? In principle, both questions are easily answered as soon as some experimental data are available. The idea is to compare measured data with predicted model function values and to minimize the differences over the whole parameter space. We have to reject a model if we are unable to find a reasonably accurate fit. To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.

The Aphorism And Other Short Forms

Author: Ben Grant
Publisher: Routledge
ISBN: 1134104588
Size: 58.82 MB
Format: PDF, ePub, Docs
View: 1954
The aphorism captures a huge amount of truth, meaning or wit in a very short statement. It has been used and studied from classical times to contemporary theory and takes on a new relevance when we look at today’s communication media such as text messages and twitter. This concise guide offers an overview of: The history of the aphorism to the present day Its relation to other short forms, including the fragment, the proverb, the maxim, the haiku, the epigram and the quotation The use of the aphorism by authors such as Heraclitus, Bacon, La Rochefoucauld, Chuang Tzu, Blake, Schlegel, Emerson, Nietzsche, Wilde, Woolf and Barthes The interdisciplinary nature of the aphorism, bringing together science, philosophy, literature and religion Exploring all the key aspects of the form, Ben Grant guides readers through this large and lively area in a wide-ranging and critically informed study of the aphorism.

The Mis Behaviour Of Markets

Author: Benoit B. Mandelbrot
Publisher: Profile Books
ISBN: 1847651550
Size: 53.25 MB
Format: PDF, Docs
View: 1006
This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous - and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.


Author: Li Po
Publisher: Penguin UK
ISBN: 0141915250
Size: 66.69 MB
Format: PDF
View: 2348
Li Po (AD 701-62) and Tu Fu (AD 712-70) were devoted friends who are traditionally considered to be among China's greatest poets. Li Po, a legendary carouser, was an itinerant poet whose writing, often dream poems or spirit-journeys, soars to sublime heights in its descriptions of natural scenes and powerful emotions. His sheer escapism and joy is balanced by Tu Fu, who expresses the Confucian virtues of humanity and humility in more autobiographical works that are imbued with great compassion and earthy reality, and shot through with humour. Together these two poets of the T'ang dynasty complement each other so well that they often came to be spoken of as one - 'Li-Tu' - who covers the whole spectrum of human life, experience and feeling.

Sexuality And Globalization An Introduction To A Phenomenology Of Sexualities

Author: L. Bibard
Publisher: Springer
ISBN: 1137469293
Size: 17.84 MB
Format: PDF, Docs
View: 3179
The book argues that a universally widespread virility currently prevents humans from realizing their sexualities, which are originally the feminine and the masculine. This obstacle may be traced back to Renaissance humanism, whose core intention is to take control over the so-called 'nature."