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Author : Hans Walser
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 51,9 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457495
Author : Scott Olsen
Publisher : eBook Partnership
Page : 64 pages
File Size : 40,8 Mb
Release : 2018-04-01
Category : Art
ISBN : 9781912706013
What was the golden secret known to Leonardo da Vinci, Kepler, Plato and the ancient magicians? Can there really be a key to nature and life itself? In this small but compact volume internationally renowned divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale. Designed for artists and scientists alike, this is the smallest, densest and most beautiful book on the golden section ever produced. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
Author : Gary B. Meisner
Publisher : Quarto Publishing Group USA
Page : 227 pages
File Size : 42,5 Mb
Release : 2018-10-23
Category : Mathematics
ISBN : 9780760360262
This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.
Author : Alfred S. Posamentier,Ingmar Lehmann
Publisher : Prometheus Books
Page : 312 pages
File Size : 45,7 Mb
Release : 2011-12-20
Category : Mathematics
ISBN : 9781616144241
What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.
Author : Robert Vincent
Publisher : Unknown
Page : 127 pages
File Size : 49,9 Mb
Release : 2007
Category : Electronic
ISBN : 2951960735
Author : I. Hargittai
Publisher : Elsevier
Page : 1084 pages
File Size : 54,6 Mb
Release : 2016-02-25
Category : Science
ISBN : 9781483299495
Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.
Author : Alexey Stakhov
Publisher : World Scientific
Page : 745 pages
File Size : 53,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812775832
Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Author : Steven L. Griffing
Publisher : Xlibris Corporation
Page : 220 pages
File Size : 43,7 Mb
Release : 2007
Category : Science
ISBN : CORNELL:31924108016928
This book contains a great deal of geometry regarding the golden section, including some discoveries of my own. It, also, contains some history of the golden section, as it was used in the art and architecture of the classical civilizations of Egypt and Greece. The golden section was used extensively in the art and architecture, during the classical civilizations of Egypt and Greece, and to some extent, later, in Europe. Its geometric basis can be found in the proportions of the bones of the human body, and of other animals.
Author : Roy Howat
Publisher : Cambridge University Press
Page : 264 pages
File Size : 40,7 Mb
Release : 1983
Category : Music
ISBN : 0521311454
An analysis that accounts precisely for the nature of Debussy's musical forms and how forms of different works are related. Geometric systems found here throw new light on Debussy's intense interest in the other arts and provide links with artists he admired in other fields.
Author : Vincent Siu
Publisher : Partridge Publishing Singapore
Page : 158 pages
File Size : 43,7 Mb
Release : 2016-02-11
Category : Mathematics
ISBN : 9781482855432
This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. It is proposed that the ratio can be obtained easily by applying the Pythagoras theorem. Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced. The conclusion is that it is mathematics and not the golden ratio that is fascinating.
Author : John Bowers
Publisher : John Wiley & Sons
Page : 138 pages
File Size : 45,7 Mb
Release : 1999-01-18
Category : Architecture
ISBN : 0471292249
He demonstrates how competing approaches to 2D design - including those based on intuition, play, chance, and empirical research - can be used successfully, either alone or in combination."--BOOK JACKET.
Author : Richard D. Zakia,David Page
Publisher : Taylor & Francis
Page : 305 pages
File Size : 40,5 Mb
Release : 2012-09-10
Category : Photography
ISBN : 9781136088544
"Those of you who follow this blog know that Dr. Richard Zakia, former RIT professor, is one of my all time favorite photo gurus. We send each other pictures. We talk about looking into pictures - and not just looking at them. Big difference.. Dr. Richard Zakia, a.k.a. Dick, is the co-author, along with David Page, of Photographic Composition: A Visual Guide. These two dudes are also two of my favorite people."---Rick Sammon's blog "Covers all the tips needed to help photographers construct their own unique, outstanding images and is an outstanding 'must' for any collection."--CA Bookwatch
Author : Monica Layer
Publisher : Temple Lodge Publishing
Page : 178 pages
File Size : 44,9 Mb
Release : 2006
Category : Anthroposophy
ISBN : 9781902636764
Rhythmic Einreibungen consist of gentle forms of therapeutic massage by nurses, caregivers, and therapists familiar with the methods and principles of Anthroposophy. The German word Einreibung refers to the application of oil or liniments to the body. The methods, first developed eighty years ago by doctors Ita Wegman and Margarethe Hauschka, were initially used only in medicine and nursing. They have since been applied more broadly in other areas of healthcare, nursing homes, hospitals, clinics, special education, and social therapies. This clear, comprehensive manual is intended for all those who wish to use rhythmical Einreibungen professionally or to renew and deepen their knowledge; those who have had some training in the field and want to deepen their knowledge; those who teach rhythmical Einreibungen; and those who would like an in-depth introduction to this effective healing method. The book describes aspects of the anthroposophic image of the human being that are relevant within the context. It discusses important concepts for the application and effectiveness of rhythmical Einreibungen. The book also distinguishes between rhythmical massage and rhythmical Einreibungen and offers details on how the rhythmic quality is created for this particular therapy. The authors also describe the techniques most important in nursing and offer specific exercises that help develop the particular skills needed for this procedure. Dr. Margarethe Hauschka Stavenhagen, (1896-1980) encountered Anthroposophy before becoming a medical doctor. She learned techniques of massage during her initial employment in her uncle's clinic. As a preparation for her work in Dr. Husemann's clinic, and on his suggestion, she studied therapeutic eurythmy and, later, helped Dr. Ita Wegman develop the method of the rhythmic massage. In 1942, she marriage Dr. Rudolf Hauschka in Vienna. Until her death in 1980, she taught and lectured on rhythmic massage and art therapy. C O N T E N T S 1. Basic Principles The human being in body, soul, and spirit The four bodies Functional threefoldness in the human organism The senses The hand 2. Quality Criteria for Rhythmical Einreibungen according to Wegman/Hauschka The origins of Rhythmical Einreibungen Definition of Rhythmical Einreibungen Quality criteria The whole process The effects of Rhythmical Einreibungen Indications Contraindications What is demanded of you, the carer 3. Methodology for part Einreibungen Back Einreibungen Arm Einreibungen Chest Einreibungen Abdominal Einreibungen Leg Einreibungen The pentagram Einreibungen Rhythmical Einreibungen of organs according to Wegman/Hauschka 4. Practical Exercises Methodology List of exercises given Exercises don in a group Exercises for quality of touch Exercises in technique Exercises in sensory perception In conclusion
Author : Francis D. K. Ching
Publisher : John Wiley & Sons
Page : 501 pages
File Size : 52,9 Mb
Release : 2023-05-09
Category : Architecture
ISBN : 9781119853374
ARCHITECTURE THE GOLD STANDARD IN INTRODUCTORY ARCHITECTURE TEXTS, FULLY UPDATED TO REFLECT THE LATEST DEVELOPMENTS IN THE FIELD For more than forty years, the beautifully illustrated Architecture: Form, Space, and Order has served as the classic introduction to the basic vocabulary of architectural design. In this fifth edition, more recent additions to the architectural panoply illustrate how contemporary digital and building technologies have influenced the development of architectural forms and spaces and how architectural siting and design have responded to the call for more environmentally responsible buildings. It is designed to encourage critical thought and to promote a more evocative understanding of architecture. The fifth edition is updated with many new urban design and building precedents from a diverse range of cultural and geographic areas New content focuses on the latest technology and trends in structure, construction, materials, and sustainability Includes more than 800 illustrations, many hand-drawn, which demonstrate the foundations and concepts every architect must master Architecture: Form, Space, and Order distills complex concepts of design into a clear focus and brings difficult abstractions to life. It explains form and space in relation to light, view, openings, and enclosures and explores the organization of space, and the elements and relationships of circulation, as well as proportion and scale. In addition, the text’s detailed illustrations demonstrate the concepts presented and reveal the relationships between fundamental elements of architecture through the ages and across cultures.
Author : Library of Congress,Library of Congress. Office for Subject Cataloging Policy
Publisher : Unknown
Page : 1736 pages
File Size : 42,8 Mb
Release : 2010
Category : Subject headings
ISBN : STANFORD:36105129104332