Gnomon

From Pharaohs to Fractals

Author: Midhat J. Gazalé

Publisher: Princeton University Press

ISBN: 9780691005140

Category: Mathematics

Page: 259

View: 1049

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

From Ahmes to Cantor

Author: Midhat J. Gazalé

Publisher: Princeton University Press

ISBN: 9780691005157

Category: Mathematics

Page: 297

View: 8776

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

Retrieving Lost Visions in the Humanities

Author: William Joseph Jackson

Publisher: Indiana University Press

ISBN: 9780253216205

Category: Philosophy

Page: 311

View: 9880

"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

Hilbert's Fourth Problem, “Golden” Dynamical Systems, and the Fine-Structure Constant

Author: Alexey Stakhov,Samuil Aranson

Publisher: World Scientific

ISBN: 9814678317

Category: Mathematics

Page: 308

View: 7819

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

Scientific Data through Graphics

Author: Ursyn, Anna

Publisher: IGI Global

ISBN: 1466609435

Category: Computers

Page: 443

View: 7194

"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

Architecture, Perspective and Redemptive Space

Author: Nicholas Temple

Publisher: Routledge

ISBN: 1134117078

Category: Architecture

Page: 308

View: 4034

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: N.A

Publisher: N.A

ISBN: N.A

Category: Insurance

Page: N.A

View: 3771

Congressus Numerantium

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Combinatorial analysis

Page: N.A

View: 7316

Topics in Mathematical Modeling

Author: K. K. Tung

Publisher: Princeton University Press

ISBN: 1400884055

Category: Mathematics

Page: 336

View: 8998

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.

Library Journal

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Libraries

Page: N.A

View: 8046

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.

Writer's Guide to Book Editors, Publishers and Literary Agents, 2001-2002

Who They Are! What They Want! and How to Win Them Over!

Author: Jeff Herman

Publisher: Prima Lifestyles

ISBN: 9780761522164

Category: Authorship

Page: 917

View: 3426

The classic reference guide for book authors has been completely revised and updated with the names and specific areas of interest of thousands of editors at over 500 book publishing houses.

Quill & Quire

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Book industries and trade

Page: N.A

View: 715

The Golden Ratio

The Story of Phi, the World's Most Astonishing Number

Author: Mario Livio

Publisher: Broadway

ISBN: 9780767908160

Category: Mathematics

Page: 294

View: 1292

Offers a look at phi, or "the golden ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, biology, philosophy, and other fields.

Writer's Guide to Book Editors, Publishers, and Literary Agents

Author: Jeff Herman

Publisher: Prima Lifestyles

ISBN: 9780761522164

Category: Publishers and publishing

Page: 917

View: 8914

Writer's Guide to Book Editors, Publishers, and Literary Agents gets you past the slush piles and into the hands of the right people. This one-of-a-kind reference gives you the names, addresses, and phone numbers of hundreds of top editors and agents and includes essays by savvy "insiders" who reveal the secrets to winning them over. More comprehensive than ever before, this year's edition gives you everything you need to know to get published, from writing the knockout book proposal to turning initial rejection into ultimate success. Writer's Guide is your key to getting published. It gets you inside. It gets you noticed. Your talent will do the rest. About the Author Jeff Herman is the owner of the Jeff Herman Literary Agency, one of New York's leading agencies for writers. Among his clients are the bestselling authors of the Chicken Soup for the Soul series. He frequently speaks to writer's groups and conferences on the topic of getting published and can be reached at /www.jeffherman.com.

SWAP & PAWS

quantum logic gates in biomedical magnetic resonance

Author: Kenneth Yue

Publisher: N.A

ISBN: N.A

Category:

Page: 316

View: 3566

International Mathematical News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3851

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.

Investment Performance Attribution

A Guide to what it Is, how to Calculate It, and how to Use it

Author: David Spaulding

Publisher: McGraw Hill Professional

ISBN: 9780071408851

Category: Business & Economics

Page: 254

View: 6065

Investment Performance Attribution involves identifying and quantifying those activities that increase investment return above a given benchmark--and is the hottest topic in institutional investing today. Investment Performance Attribution is the first book to provide clear and in-depth coverage of how and when to use the varying forms of attribution. It makes necessarily high-level attribution mathematics accessible, and will become an essential reference for professional money managers and institutional investors.

Ars Combinatoria

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Combinatorial analysis

Page: N.A

View: 3067