From The Golden Rectangle To The Fibonacci Sequences
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The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
From The Golden Rectangle To The Fibonacci Sequences
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Author : Opher Liba
language : en
Publisher: Springer
Release Date : 2023-05-09
From The Golden Rectangle To The Fibonacci Sequences written by Opher Liba and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Education categories.
The book takes us on a fascinating journey through one of the most beautiful and fascinating topics of mathematics. It presents a wealth of information about the golden ratio and the Fibonacci sequence. The book introduces the reader to novel perspectives to classic mathematical concepts and problems. The book’s structure engages with the reader actively, leading to more profound understanding, satisfaction and deep insights in learning mathematics. The book strengthens and expands the readers' mathematical knowledge, allowing them a glimpse of several advanced academic concepts. It demonstrates and instils the essence of mathematical research, along the lines of George Polya: observation, conjecture, proof, implementation, generalization and raising new questions.
The Fabulous Fibonacci Numbers
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 2007
The Fabulous Fibonacci Numbers written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Golden Number In Quantum
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Golden Number In Quantum written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
"Golden Harmony: Quantum Numbers" delves into the intricate world of quantum mechanics, exploring the concept of quantum numbers with a focus on their profound significance and application in understanding the behavior of subatomic particles. Through accessible explanations and engaging examples, the book navigates readers through the fascinating realm of quantum physics, shedding light on the fundamental principles that govern the quantum world and highlighting the beauty and harmony inherent in its mathematical framework.
Golden Number Quantum Concepts
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Golden Number Quantum Concepts written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
"Golden Number: Quantum Concepts" is an engaging and accessible introduction to the fascinating world of quantum physics, designed for absolute beginners without a mathematical background. Through clear explanations and relatable examples, this book explores the fundamental principles of quantum mechanics, including wave-particle duality, quantum superposition, and entanglement. What sets this book apart is its unique focus on the golden ratio, a captivating mathematical constant that finds surprising connections to quantum phenomena. Readers will embark on an enlightening journey to unravel the mysteries of the quantum world while discovering the beauty of the golden ratio intertwined with quantum concepts. Whether you're a curious novice or a seeker of knowledge, this book promises to make the complexities of quantum physics accessible and engaging for all.
From Riemann Hypothesis To Cps Geometry And
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Author : Nick Trif
language : en
Publisher: Nick Trif
Release Date :
From Riemann Hypothesis To Cps Geometry And written by Nick Trif and has been published by Nick Trif this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“From Riemann Hypothesis to CPS Geometry and Back” (Volume 1) offers a new and very intriguing approach to Geometry. Staring from a simple assumption that the geometrical points are infinitesimal spheres crowded together in a close packing of spheres arrangement, filling-up the space, this book investigates the patterns and structure of the space generated by these points. The properties and structure of this space is described by the CPS Geometry. Volume 1 of this geometrical investigation (using points distributed in space according to the close packing of spheres arrangement) makes this geometry very similar with arithmetic. The connection between the world of natural numbers and the CPS Geometry makes this approach richer and a lot more interesting to study than one would expect. Enjoy!
I Am Loving Awareness
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Author : Brian M. Woody
language : en
Publisher: Woody Calculus
Release Date : 2024-12-01
I Am Loving Awareness written by Brian M. Woody and has been published by Woody Calculus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-01 with Body, Mind & Spirit categories.
🏆 2025 International Impact Book Awards Winner - Spirituality: Spiritual Insights - Awarded to Brian M. Woody for I Am Loving Awareness: A Mathematician's Spiritual Journey. In I Am Loving Awareness: A Mathematician's Spiritual Journey, Brian M. Woody invites readers on a profound exploration of the cosmos, the self, and the interconnectedness that binds us all. Beginning with the timeless practices of loving-kindness, mindfulness, and acceptance, Woody demonstrates how compassion and connection transcend the ego, revealing a deeper truth of existence. Inspired by the mantra of spiritual teacher Ram Dass, I Am Loving Awareness bridges the gap between science and spirituality, uniting insights from Chaos theory, quantum entanglement, and Einstein’s Theory of Relativity to guide readers toward oneness and universal love. More than just a mathematical or spiritual inquiry, this book offers a practical roadmap for living with awareness, gratitude, and unity. Woody explores acausal synchronicities, demonstrating how miracles emerge from shifts in perception and how acceptance and gratitude can transform both our inner and outer worlds. Drawing on a range of ancient wisdom—from Zen Buddhism and the Tao Te Ching to Hebrew, Islamic, and Christian mysticism, as well as insights from modern teachers like Emmet Fox, Krishnamurti, Carl Jung, Alan Watts, and Wayne Dyer—Woody crafts a narrative that is both intellectually stimulating and deeply healing. At a time when division and fear often dominate, his message of love and connection is more essential than ever. For seekers of truth—whether through science, philosophy, or spirituality—I Am Loving Awareness serves as a guide to unlocking boundless potential. Through meditative practices, perception shifts, and practical tools, Woody reveals how to release fear, embrace the present, and cultivate inner peace and connection with the whole of existence. Brian M. Woody has over 25 years of experience as a professional mathematician and consultant, holding dual master’s degrees in Pure and Applied Mathematics. A former university lecturer and U.S. Army Sniper, Woody specializes in advanced mathematics and consults across a wide range of mathematical and scientific fields. Known for his innovative approaches to problem-solving, his work uniquely dispels the illusory gap between mathematics, physics, and spirituality, offering transformative insights into metaphysics and the nature of reality. 🔑 I Am Loving Awareness is a transformative journey into universal connection, blending science, spirituality, and ancient wisdom to help you cultivate inner peace and limitless potential. ✔️ The Science of Oneness – Explore how Chaos theory, quantum entanglement, and Einstein’s insights align with spiritual truths, revealing the universe’s inherent unity. ✔️ Timeless Wisdom – Draw inspiration from Zen Buddhism, the Tao Te Ching, and mystical traditions across cultures, alongside modern teachers like Ram Dass and Krishnamurti. ✔️ Practical Transformation – Learn meditative practices, gratitude exercises, and perception-shifting tools to create inner and outer harmony. ✔️ Beyond the Ego – Transcend fear, attachment, and limiting beliefs through mindfulness, loving-kindness, and acceptance, fostering spiritual awakening and universal love. ✔️ A Guide for Seekers – Whether drawn to science, philosophy, or spirituality, this book provides a clear roadmap to awakening, self-realization, and deep inner peace.
Transportable Environments 3
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Author : Robert Kronenburg
language : en
Publisher: Taylor & Francis
Release Date : 2006-03-10
Transportable Environments 3 written by Robert Kronenburg and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-10 with Architecture categories.
An overview of structures designed to be mobile, their uses, and the principles involved in their design including a consideration of the wide range of applications in which they can be found.
The Astonishing Golden Ratio
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Author :
language : en
Publisher: Utkarsh Singh Khokhar
Release Date : 2018-07-31
The Astonishing Golden Ratio written by and has been published by Utkarsh Singh Khokhar this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-31 with categories.
The number 1.618 is known as Golden Ratio." This number has fascinated Thinkers Of all disciplines like no other number in the history of mathematics."