Gnomon

Author: Midhat J. Gazalé
Publisher: Princeton University Press
ISBN: 0691005141
Release Date: 1999
Genre: Mathematics

The author "explains the properties of gnomons [self-repeating shapes], traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible."--Jacket.

Number

Author: Midhat J. Gazalé
Publisher: Princeton University Press
ISBN: 069100515X
Release Date: 2000
Genre: Mathematics

In his companion volume to "Gnomon: From Pharaohs to Fractals, " Gazale introduces some of the most fascinating characters in mathematical history, from Ahmes the Egyptian scribe (whose efforts helped preserve some of the mathematical secrets of the architects of the pyramids) through the modern era of Georg Cantor (the great 19th-century inventor of trans-finite numbers). Illustrations.

Heaven s Fractal Net

Author: William Joseph Jackson
Publisher: Indiana University Press
ISBN: 0253216206
Release Date: 2004
Genre: Philosophy

"Fractal" is a term coined by mathematician Benoit Mandelbrot to denote the geometry of nature, which traces inherent order in chaotic shapes and processes. Fractal concepts are part of our emerging vocabulary and can be useful in identifying patterns of human behavior, culture, and history, while enhancing our understanding of the nature of consciousness. According to William J. Jackson, the more one studies fractals, the more apparent their connections to the humanities become. In the recursive patterns of religious music, in temple architecture in India, in cathedral structures in Europe and America, in the imagery of religious literature depicting infinity and abundance, and in poetic descriptions of the nature of consciousness, fractal-like configurations are pervasive. Recognition of this structure, which is also found in social organizations and ritual symbolism, requires only that one develop "an eye for fractals" by studying the work of researchers and observing nature. One then begins to see that the separation of humanities and science is convenient oversimplification, not an ultimate fact. Includes a DVD of animated fractals.

The Golden Non Euclidean Geometry

Author: Alexey Stakhov
Publisher: World Scientific
ISBN: 9789814678315
Release Date: 2016-07-14
Genre: Mathematics

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems. Contents:The Golden Ratio, Fibonacci Numbers, and the "Golden" Hyperbolic Fibonacci and Lucas FunctionsThe Mathematics of Harmony and General Theory of Recursive Hyperbolic FunctionsHyperbolic and Spherical Solutions of Hilbert's Fourth Problem: The Way to the Recursive Non-Euclidean GeometriesIntroduction to the "Golden" Qualitative Theory of Dynamical Systems Based on the Mathematics of HarmonyThe Basic Stages of the Mathematical Solution to the Fine-Structure Constant Problem as a Physical Millennium ProblemAppendix: From the "Golden" Geometry to the Multiverse Readership: Advanced undergraduate and graduate students in mathematics and theoretical physics, mathematicians and scientists of different specializations interested in history of mathematics and new mathematical ideas.

Biologically Inspired Computing for the Arts Scientific Data through Graphics

Author: Ursyn, Anna
Publisher: IGI Global
ISBN: 9781466609433
Release Date: 2012-04-30
Genre: Computers

"This book comprises a collection of authors' individual approaches to the relationship between nature, science, and art created with the use of computers, discussing issues related to the use of visual language in communication about biologically-inspired scientific data, visual literacy in science, and application of practitioner's approach"--Provided by publisher.

Disclosing Horizons

Author: Nicholas Temple
Publisher: Routledge
ISBN: 9781134117079
Release Date: 2006-11-22
Genre: Architecture

This study examines the influence of perspective on architecture, highlighting how critical historical changes in the representation and perception of space continue to inform the way architects design. Since its earliest developments, perspective was conceived as an exemplary form of representation that served as an ideal model of how everyday existence could be measured and ultimately judged. Temple argues that underlying the symbolic and epistemological meanings of perspective there prevails a deeply embedded redemptive view of the world that is deemed perfectible. Temple explores this idea through a genealogical investigation of the cultural and philosophical contexts of perspective throughout history, highlighting how these developments influenced architectural thought. This broad historical enquiry is accompanied by a series of case-studies of modern or contemporary buildings, each demonstrating a particular affinity with the accompanying historical model of perspective.

Contingencies

Author:
Publisher:
ISBN: MINN:31951P00834062Z
Release Date: 2001
Genre: Insurance


Topics in Mathematical Modeling

Author: K. K. Tung
Publisher: Princeton University Press
ISBN: 9781400884056
Release Date: 2016-06-14
Genre: Mathematics

Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.

MathHorizons

Author:
Publisher:
ISBN: UOM:39076002383565
Release Date: 2000
Genre: Mathematics


Library Journal

Author:
Publisher:
ISBN: UOM:39015082964647
Release Date: 1999
Genre: Libraries

Includes, beginning Sept. 15, 1954 (and on the 15th of each month, Sept.-May) a special section: School library journal, ISSN 0000-0035, (called Junior libraries, 1954-May 1961). Also issued separately.