The Golden Ratio

The Story of Phi, the Extra Ordinary [i.e. Extraordinary] Number of Nature, Art and Beauty

Author: Mario Livio

Publisher: Headline Review

ISBN: 9780747249887

Category: Algebraic fields

Page: 294

View: 9376

What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of a woman's navel to a woman's height, sunflowers and Leonardo da Vinci's Mona Lisa have in common? The answer is that these disparate elements share a geometrical proportion of ancient origin commonly known as the golden ratio, or expressed numerically as phi. fractals and DNA on the way, the author takes us into the heart of this extraordinary number. He gives an account of the phi-obsessed individuals who devoted their lives to discovering its secrets - from the Pythagoreans who believed that the study of the Golden Ratio would reveal the hand of God, to the astronomer Johannes Kepler who felt that phi was the greatest treasure of geometry, to the modern day scientists who are discovering ever more remarkable ramifications of this strange, almost mystical, number.

The Aesthetic Mind

Philosophy and Psychology

Author: Elisabeth Schellekens,Peter Goldie

Publisher: Oxford University Press

ISBN: 0199691517

Category: Art

Page: 455

View: 8694

The Aesthetic Mind breaks new ground in bringing together empirical sciences and philosophy to enhance our understanding of art and the aesthetic. An eminent international team of experts explores the roles of emotion, imagination, empathy, and beauty in this realm of human experience, discussing visual and literary art, music, and dance.

The Neurocognition of Dance

Mind, Movement and Motor Skills

Author: Bettina Bläsing,Martin Puttke,Thomas Schack

Publisher: Routledge

ISBN: 1317536843

Category: Psychology

Page: 304

View: 3417

Dance has always been an important aspect of all human cultures, and the study of human movement and action has become a topic of increasing relevance over the last decade, bringing dance into the focus of the cognitive sciences. Since the first edition of The Neurocognition of Dance was published, research into the cognitive science of dance has expanded extensively, with the number of scientific studies focusing on dance and dance-related topics in cognitive psychology growing significantly. Featuring three new chapters addressing topics that have become highly relevant to the field in recent years – neuroaesthetics, entrainment, and choreographic cognition – as well as progress in teaching based on novel methods, this comprehensively revised and updated new edition of The Neurocognition of Dance is full of cutting-edge insights from scientists, researchers, and professionals from the world of dance. Also now including online material such as links to video clips, colour images and hands-on material for practical application, this book is an essential companion for students and professionals from fields including dance, cognitive psychology, sport psychology and sport science, movement science, and cognitive robotics.

Leonardo and the Last Supper

Author: Ross King

Publisher: A&C Black

ISBN: 0747599475

Category: Art, Renaissance

Page: 336

View: 9408

Milan, 1496 and forty-four-year-old Leonardo da Vinci has a reputation for taking on commissions and failing to complete them. He is in a state of professional uncertainty and financial difficulty. For eighteen months he has been painting murals in both the Sforza Castle in Milan and the refectory of the convent of Santa Maria delle Grazie. The latter project will become the Last Supper, a complex mural that took a full three years to complete on a surface fifteen feet high by twenty feet wide. Not only had he never attempted a painting of such size, but he had no experience whatsoever in painting in the physically demanding medium of fresco.For more than five centuries the Last Supper has been an artistic, religious and cultural icon. The art historian Kenneth Clark has called it 'the keystone of European art', and for a century after its creation it was regarded as nothing less than a miraculous image. Even today, according to Clark, we regard the painting as 'more a work of nature than a work of man'. And yet there is a very human story behind this artistic 'miracle', which was created against the backdrop of momentous events both in Milan and in the life of Leonardo himself.In Leonardo and the Last Supper, Ross King tells the complete story of this creation of this mural: the adversities suffered by the artist during its execution; the experimental techniques he employed; the models for Christ and the Apostles that he used; and the numerous personalities involved - everyone from the Leonardo's young assistants to Ludovico Sforza, the Duke of Milan who commissioned the work. Ross King's new book is both a record of Leonardo da Vinci's last five years in Milan and a 'biography' of one of the most famous works of art ever painted.

The Bone-Setters

Author: MATHEMATICS / Algebra / General

Publisher: Troubador Publishing Ltd

ISBN: 1789016169


Page: 288

View: 8173

In pre-Revolutionary France, geometry merged with algebra to form the basis of the Calculus. But the journey algebra had taken to this pivotal moment could not have been more different to that of geometry. In The Bone-Setters, J.F. Riley traces algebra’s roots from the searing sun of the Indian sub-continent, to the Middle East where it was gifted to the Arabs in AD773. When developed and transported to the West, it met the established Christian Church head-on not only because it heralded from the East but was also written in strange, if not demonic symbols that ... was dangerous Saracen magic. As the mathematics of anything ‘unknown’, algebra found many applications in the age of exploration and the mathematical adventures of artists, sculptures and architects. Not least to take advantage were the accountants and bankers ever watchful of their red columns. Renaissance algebraists accepted the many challenges the new mathematics presented, but not without their fair share of ongoing feuds that seemed to be the hallmark of any new discovery. Algebra’s cloak of respectability finally came to rest in early 17th century France when it emerged as the all-powerful uniting discipline that destiny had long reserved for it.

Fibonacci and Gann Applications in Financial Markets

Practical Applications of Natural and Synthetic Ratios in Technical Analysis

Author: George MacLean

Publisher: Wiley

ISBN: 9780470012178

Category: Business & Economics

Page: 240

View: 7764

There are many books covering Fibonacci from an artistic and historical point of view and almost as many suggesting that Fibonacci retracements and numbers can be successfully applied to financial market time series. What is missing is a book that addresses the common errors in using screen based Fibonacci (and Gann and other tools). The book is a critical exploration of Fibonacci numbers, retracements, projections, timeframes and fanlines and their current usage within the financial markets by technical analysts. Although they can be extremely effective analytical tools when used appropriately, mistakes in usage can be extremely costly from a financial and credibility viewpoint. George MacLean takes a brief look at the history of Fibonacci and Gann, before providing a full account of their applications in financial markets, including fixed income, equity, foreign exchange, commodities and indexes. In particular, he draws attention to the overuse and misuse of easily applied computer packages available to professional and amateur traders.

Chaos and Fractals

New Frontiers of Science

Author: Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe

Publisher: Springer Science & Business Media

ISBN: 0387202293

Category: Mathematics

Page: 864

View: 4980

The fourteen chapters of this book cover 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 new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

The Art Journal

The Illustrated Catalogue of the Industry of All Nations

Author: N.A

Publisher: N.A


Category: Art

Page: N.A

View: 8455



Author: N.A

Publisher: N.A


Category: Gardening

Page: N.A

View: 2927


The Fabulous Fibonacci Numbers

Author: Alfred S. Posamentier,Ingmar Lehmann

Publisher: N.A


Category: Mathematics

Page: 385

View: 2687

Explores the complexity and wide-ranging applications of the Fibonacci sequence, which appears in nature, art, economics, and the "golden ratio," which is derived from this simple pattern of numbers.

Divina Proportione

Author: F.L. Pacioli

Publisher: Рипол Классик

ISBN: 5879564436

Category: History

Page: N.A

View: 6158


The Complete Home Learning Sourcebook

The Essential Resource Guide for Homeschoolers, Parents, and Educators Covering Every Subject from Arithmetic to Zoology

Author: Rebecca Rupp

Publisher: Three Rivers Press (CA)

ISBN: 9780609801093

Category: Education

Page: 865

View: 7398

Lists all the resources needed to create a balanced curriculum for homeschooling--from preschool to high school level

The Athenaeum

Author: N.A

Publisher: N.A



Page: N.A

View: 2462