Mathematics Of Harmony As A New Interdisciplinary Direction And Golden Paradigm Of Modern Science Volume 2 Algorithmic Measurement Theory Fibonacci And Golden Arithmetics And Ternary Mirror Symmetrical Arithmetic

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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

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9811213488
Total Pages : 331 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis 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 by : Alexey Stakhov

Download or read book 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 written by Alexey Stakhov and published by World Scientific. This book was released on 2020-09-03 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9812775838
Total Pages : 745 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Mathematics of Harmony by : Alexey Stakhov

Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Reshaping College Mathematics

Author : Mathematical Association of America. Committee on the Undergraduate Program in Mathematics
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Reshaping College Mathematics by : Mathematical Association of America. Committee on the Undergraduate Program in Mathematics

Download or read book Reshaping College Mathematics written by Mathematical Association of America. Committee on the Undergraduate Program in Mathematics and published by Mathematical Association of America (MAA). This book was released on 1989 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numeral Systems with Irrational Bases for Mission-Critical Applications

Author : Stakhov Alexey
Publisher : World Scientific
ISBN 13 : 9813228636
Total Pages : 284 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Numeral Systems with Irrational Bases for Mission-Critical Applications by : Stakhov Alexey

Download or read book Numeral Systems with Irrational Bases for Mission-Critical Applications written by Stakhov Alexey and published by World Scientific. This book was released on 2017-10-17 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, Introduction to the Algorithmic Measurement Theory (Moscow, Soviet Radio, 1977), and Codes of the Golden Proportion (Moscow, Radio and Communications, 1984), which had not been translated into English and are therefore not known to English-speaking audience. This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci p-codes and codes of the golden p-proportions, and also on Bergman's system and 'golden' ternary mirror-symmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics.

Fractals and Chaos

Author : Benoit Mandelbrot
Publisher : Springer Science & Business Media
ISBN 13 : 1475740174
Total Pages : 321 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fractals and Chaos by : Benoit Mandelbrot

Download or read book Fractals and Chaos written by Benoit Mandelbrot and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Michele Emmer
Publisher : Springer
ISBN 13 : 3319939491
Total Pages : 327 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Imagine Math 6 by : Michele Emmer

Download or read book Imagine Math 6 written by Michele Emmer and published by Springer. This book was released on 2018-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Marcello Barbieri
Publisher : Springer Science & Business Media
ISBN 13 : 1402063407
Total Pages : 443 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Codes of Life by : Marcello Barbieri

Download or read book The Codes of Life written by Marcello Barbieri and published by Springer Science & Business Media. This book was released on 2007-10-26 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The OM Composer's Book

Author : Jean Bresson
Publisher :
ISBN 13 : 9782752102836
Total Pages : 384 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The OM Composer's Book by : Jean Bresson

Download or read book The OM Composer's Book written by Jean Bresson and published by . This book was released on 2016 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fibonacci and Lucas Numbers, and the Golden Section

Author : Steven Vajda
Publisher : Courier Corporation
ISBN 13 : 0486462765
Total Pages : 194 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Fibonacci and Lucas Numbers, and the Golden Section by : Steven Vajda

Download or read book Fibonacci and Lucas Numbers, and the Golden Section written by Steven Vajda and published by Courier Corporation. This book was released on 2008-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.

Connections

Author : Jay Kappraff
Publisher : World Scientific
ISBN 13 : 9789812811394
Total Pages : 528 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Connections by : Jay Kappraff

Download or read book Connections written by Jay Kappraff and published by World Scientific. This book was released on 2001 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

Ubiquitous Music

Author : Damián Keller
Publisher : Springer
ISBN 13 : 3319111523
Total Pages : 153 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Ubiquitous Music by : Damián Keller

Download or read book Ubiquitous Music written by Damián Keller and published by Springer. This book was released on 2014-11-27 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Lalo Schifrin
Publisher : Hal Leonard Corporation
ISBN 13 : 1476899487
Total Pages : 292 pages
Book Rating : 4.4/5 (768 download)

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Book Synopsis Music Composition for Film and Television by : Lalo Schifrin

Download or read book Music Composition for Film and Television written by Lalo Schifrin and published by Hal Leonard Corporation. This book was released on 2011-12-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: (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.

Using History to Teach Mathematics

Author : Victor J. Katz
Publisher : Cambridge University Press
ISBN 13 : 9780883851630
Total Pages : 284 pages
Book Rating : 4.8/5 (516 download)

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Book Synopsis Using History to Teach Mathematics by : Victor J. Katz

Download or read book Using History to Teach Mathematics written by Victor J. Katz and published by Cambridge University Press. This book was released on 2000-09-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Canonical Duality Theory

Author : David Yang Gao
Publisher : Springer
ISBN 13 : 3319580175
Total Pages : 377 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Canonical Duality Theory by : David Yang Gao

Download or read book Canonical Duality Theory written by David Yang Gao and published by Springer. This book was released on 2017-10-09 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.

Applications of Fibonacci Numbers

Author : G.E. Bergum
Publisher : Springer
ISBN 13 : 9789401061070
Total Pages : 484 pages
Book Rating : 4.0/5 (61 download)

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Book Synopsis Applications of Fibonacci Numbers by : G.E. Bergum

Download or read book Applications of Fibonacci Numbers written by G.E. Bergum and published by Springer. This book was released on 2012-10-13 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of `The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996

Category Theory And Applications: A Textbook For Beginners (Second Edition)

Author : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811236100
Total Pages : 390 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Category Theory And Applications: A Textbook For Beginners (Second Edition) by : Marco Grandis

Download or read book Category Theory And Applications: A Textbook For Beginners (Second Edition) written by Marco Grandis and published by World Scientific. This book was released on 2021-03-05 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.