Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic
Mathematics Of Harmony As A New Interdisciplinary Direction And

Author: Alexey Stakhov

Publisher: World Scientific

Published: 2020-09-03

Total Pages: 331

ISBN-13: 9811213488

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Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' 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 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction 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 generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are 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.

The Mathematics of Harmony
The Mathematics of Harmony

Author: Alekse? Petrovich Stakhov

Publisher: World Scientific

Published: 2009

Total Pages: 745

ISBN-13: 981277582X

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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 ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? 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 ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? 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 ?golden? 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.

Fractals and Chaos
Fractals and Chaos

Author: Benoit Mandelbrot

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 321

ISBN-13: 1475740174

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Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.

Chaos and Fractals
Chaos and Fractals

Author: Heinz-Otto Peitgen

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 1013

ISBN-13: 1475747403

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For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Imagine Math 6
Imagine Math 6

Author: Michele Emmer

Publisher: Springer

Published: 2018-11-06

Total Pages: 317

ISBN-13: 3319939491

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Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

The Codes of Life
The Codes of Life

Author: Marcello Barbieri

Publisher: Springer Science & Business Media

Published: 2007-10-26

Total Pages: 443

ISBN-13: 1402063407

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Building on a range of disciplines – from biology and anthropology to philosophy and linguistics – this book draws on the expertise of leading names in the study of organic, mental and cultural codes brought together by the emerging discipline of biosemiotics. The volume represents the first multi-authored attempt to deal with the range of codes relevant to life, and to reveal the ubiquitous role of coding mechanisms in both organic and mental evolution.

Using History to Teach Mathematics
Using History to Teach Mathematics

Author: Victor J. Katz

Publisher: Cambridge University Press

Published: 2000-09-21

Total Pages: 284

ISBN-13: 9780883851630

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This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Ubiquitous Music
Ubiquitous Music

Author: Damián Keller

Publisher: Springer

Published: 2014-11-27

Total Pages: 175

ISBN-13: 3319111523

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This is the first monograph dedicated to this interdisciplinary research area, combining the views of music, computer science, education, creativity studies, psychology, and engineering. The contributions include introductions to ubiquitous music research, featuring theory, applications, and technological development, and descriptions of permanent community initiatives such as virtual forums, multi-institutional research projects, and collaborative publications. The book will be of value to researchers and educators in all domains engaged with creativity, computing, music, and digital arts.

Music Composition for Film and Television
Music Composition for Film and Television

Author: Lalo Schifrin

Publisher: Hal Leonard Corporation

Published: 2011-12-01

Total Pages: 292

ISBN-13: 1476899487

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(Berklee Guide). Learn film-scoring techniques from one of the great film/television composers of our time. Lalo Schifrin shares his insights into the intimate relationship between music and drama. The book is illustrated with extended excerpts from his most iconic scores such as Mission: Impossible , Cool Hand Luke , Bullitt and many others and peppered with anecdotes from inside the Hollywood studios. Schifrin reveals the technical details of his own working approach, which has earned him six Oscar nominations, 21 Grammy nominations (with four awards), and credits on hundreds of major productions. Includes the full score of Schifrin's Fanfare for Screenplay and Orchestra , a treasure-trove of unfettered dramatic sound painting, commissioned by the Chicago Symphony Orchestra, and a great thesis on the emblematic language of film music.