Download or read book The Fibonacci Resonance and Other New Golden Ratio Discoveries written by Clive N Menhinick and published by . This book was released on 2015-05 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and definitive reference for the Fibonacci numbers and the Golden Ratio. With Mondrian, Seurat, Toulouse-Lautrec, Tiwanaku, The Great Pyramid, Le Corbusier, Kepler, Penrose, quasicrystals, Pendry, green energy, and the latest light-based technologies, this maths and science book is written to be enjoyed. Explore Bohemian Paris - the capital of phi - in fresh analyses of art, architecture, and music. Lavishly illustrated, this book includes: the history of Fibonacci and Lucas numbers, spirals, sunflowers, pine cones, megaliths, and ornamental tilings. The Fibonacci Resonance discovery is revealed step by step from unique beginnings to abacus-bead visualizations. Comparisons are made with Silver Ratio Pell numbers, and a link is shown to perfect numbers and record-breaking Mersenne primes.

Download or read book The Golden Ratio written by Gary B. Meisner and published by Quarto Publishing Group USA. This book was released on 2018-10-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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."

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Download or read book The Purposeful Universe written by Carl Johan Calleman and published by Simon and Schuster. This book was released on 2009-10-13 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identifying the Mayan World Tree with the central axis of the cosmos, the author shows how evolution is not random • Shows how the evolution of the universe emanates from the cosmic Tree of Life • Explains the origin and evolution of biological life and consciousness and how this is directed Using recent findings within cosmology, coupled with his broad understanding of the Mayan Calendar, biologist Carl Johan Calleman offers a revolutionary and fully developed ­alternative to Darwin’s theory of biological evolution--and the theory of randomness that holds sway over modern science. He shows how the recently discovered central axis of the universe correlates with the Tree of Life of the ancients. This provides an entirely new context for physics in general and especially for the origin and evolution of life and suggests that we look upon ourselves as parts of a hierarchy of systems that are all interrelated and evolve in a synchronized way. Calleman’s research demonstrates that life did not just accidentally “pop up” on our planet, but that Earth was a place specifically tagged for this. He demonstrates how the Mayan Calendar describes different quantum states of the Tree of Life and presents a new explanation for the origin and evolution of consciousness. Calleman uses his scientific background in biology and cosmology to show that the idea of the Purposeful Universe is real. He explains not only how DNA but also entire organisms have emerged in the image of the Tree of Life, a theory that has wide-ranging consequences not only for medicine but also for the origin of sacred geometry and the human soul. With this new theory of biological evolution the divide between science and religion disappears.

Download or read book The Golden Ratio written by Nafish Sarwar Islam and published by . This book was released on 2021-03-31 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: The frequency of appearance of the Golden Ratio in nature implies its importance as a cosmological constant and sign of being fundamental characteristic of the Universe. Except than Leonardo Da Vinci's Monalisa, it appears on the sunflower seed head, flower petals, pinecones, pineapple, tree branches, shell, hurricane, tornado, ocean wave, and bird's flight patterns. It is also very prominent on human body as it appears on human face, legs, arms, fingers, shoulder, height, eye-nose-lips, and all over DNA molecules and human brain as well. It is inevitable in ancient Egyptian pyramids and many of the proportions of the Greek Parthenon. But very few of us are aware of the fact that it is part and parcel for constituting black hole's entropy equations, black hole's specific heat change equation, also it appears at Komar's Mass equation of black holes and Schwarzschild-Kottler metric - for null-geodesics with maximal radial acceleration at the turning point of orbits. But here in this book the discussion is limited to the exhibition of mathematical aptitude of Golden Ratio - the Divine Proportion, the Cosmological Constant, and the Fundamental Constant of Nature.

Download or read book Making up Numbers A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Download or read book The Whole Elephant Revealed written by Marja de Vries and published by John Hunt Publishing. This book was released on 2012-05-25 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Whole Elephant Revealed offers clear insights into the existence and operation of universal laws and the golden ratio. It is a synthesis based on common insights found in all wisdom traditions into the operation of universal laws on the one hand and on cutting-edge scientific discoveries that are in line with those insights on the other hand. These principles are called universal because they work on all levels of existence, apply to everything that exist and create order and harmony in the universe. Insights into the operation of the universal laws reveals a whole new worldview. It helps us to understand how everything works in the universe, who we really are and how we can make conscious choices that are more in line with these universal laws. Above all it helps us to understand what works and what doesne(tm)t work in the long term. Everything that operates in line with the universal laws, follows the path of least resistance and is in harmony with the greater whole. It makes us realize that while everything in the universe works in harmony with these principles, many aspects of our personal life and our Western culture are not in line with the operation of these underlying principles. If we choose to act in line with the operation of the universal laws, it will go easier, will be more in tune with who we really are and more in harmony with the greater whole. This choice is hard to make though, if we done(tm)t know those principles. For that reason the rediscovery of the working of these principles seems to be of extreme importance. In this time of great changes and global unbalance a growing number of people begin to feel the need for a clear and well-founded insight into the universal laws, because this gives an understanding of what is needed to restore the balance and harmony in ourselves as well as worldwide. Because the nature of these principles is universal, they apply to all aspects of our individual and social life. Therefore they can be used as a frame of reference for all personal and social transformations which aim at a greater harmony within ourselves and with the greater whole.

Download or read book Design in Nature written by Adrian Bejan and published by Anchor. This book was released on 2013-01-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Adrian Bejan takes the recurring patterns in nature—trees, tributaries, air passages, neural networks, and lightning bolts—and reveals how a single principle of physics, the constructal law, accounts for the evolution of these and many other designs in our world. Everything—from biological life to inanimate systems—generates shape and structure and evolves in a sequence of ever-improving designs in order to facilitate flow. River basins, cardiovascular systems, and bolts of lightning are very efficient flow systems to move a current—of water, blood, or electricity. Likewise, the more complex architecture of animals evolve to cover greater distance per unit of useful energy, or increase their flow across the land. Such designs also appear in human organizations, like the hierarchical “flowcharts” or reporting structures in corporations and political bodies. All are governed by the same principle, known as the constructal law, and configure and reconfigure themselves over time to flow more efficiently. Written in an easy style that achieves clarity without sacrificing complexity, Design in Nature is a paradigm-shifting book that will fundamentally transform our understanding of the world around us.

Download or read book Symmetry In Plants written by Denis Barabe and published by World Scientific. This book was released on 1998-03-26 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters.The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood.Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis.The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis.This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis.

Download or read book 11 11 the Time Prompt Phenomenon written by Marie D. Jones and published by New Page Books. This book was released on 2019-11 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 2009 by New Page Books.

Download or read book Is God a Mathematician written by Mario Livio and published by Simon and Schuster. This book was released on 2011-02-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Download or read book Soccermatics written by David Sumpter and published by Bloomsbury Publishing. This book was released on 2016-05-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Football looked at in a very different way' Pat Nevin, former Chelsea and Everton star and football media analyst Football – the most mathematical of sports. From shot statistics and league tables to the geometry of passing and managerial strategy, the modern game is filled with numbers, patterns and shapes. How do we make sense of them? The answer lies in the mathematical models applied in biology, physics and economics. Soccermatics brings football and mathematics together in a mind-bending synthesis, using numbers to help reveal the inner workings of the beautiful game. This new and expanded edition analyses the current big-name players and teams using mathematics, and meets the professionals working inside football who use numbers and statistics to boost performance. Welcome to the world of mathematical modelling, expressed brilliantly by David Sumpter through the prism of football. No matter who you follow – from your local non-league side to the big boys of the Premiership, La Liga, the Bundesliga, Serie A or the MLS – you'll be amazed at what mathematics has to teach us about the world's favourite sport.

Download or read book A Little Book of Coincidence written by John Martineau and published by Bloomsbury Publishing USA. This book was released on 2002-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at the orbital patterns of the planets and the mathematical patterns surrounding them.

Download or read book The Equation that Couldn t Be Solved written by Mario Livio and published by Simon and Schuster. This book was released on 2005-09-19 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Download or read book The Geometry Code written by Bruce Rawles and published by Elysian Publishing. This book was released on 2012-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.

Download or read book Solar System Astrophysics written by Eugene F. Milone and published by Springer Science & Business Media. This book was released on 2008-04-03 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: It presents equations and derivations starting from a level that permits one to see the underlying physical ideas. There is no other book that does this on the market. The book presents an up-to-date overview on all essential topics but is concise where possible to keep it a practical resource for courses. The book is based on extensive experience in the class room. Its contents have been field-tested for years by students.