All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, math educators Alfred Posamentier and Ingmar Lehmann take us on a fascinating tour of the many ramifications of the Fibonacci numbers. Turning to botany, the unbelievable connections between Fibonacci numbers and natural forms pineapples, the authors demonstrate, sunflowers, through illustrative diagrams, and daisies are just a few examples.
The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. Far from being just a curiosity, this sequence recurs in structures found throughout nature?from the arrangement of whorls on a pinecone to the branches of certain plant stems. In art, the stock market, architecture, they point out numerous examples of the Fibonacci sequence as well as its derivative, and other areas of society and culture, the "golden ratio.
The Fabulous Fibonacci Numbers #ad - And of course in mathematics, number theory, algebra, there are almost boundless applications in probability, as the authors amply demonstrate, geometry, and Pascal?s triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
The Golden Ratio: The Story of PHI, the World's Most Astonishing NumberBroadway Books #ad - Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it.
. It tells the human story of numerous phi-fixated individuals, cezanne, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Bartok, and physicist Roger Penrose.
The Golden Ratio: The Story of PHI, the World's Most Astonishing Number #ad - It is believed to feature in works of art from leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy.
Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist. It has even been found to be connected to the behavior of the stock market! The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics.
In this fascinating book, mario Livio tells the tale of a number at the heart of that mystery: phi, or 1. 6180339887.
The Golden Ratio:The Divine Beauty of MathematicsRace Point Publishing #ad - The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet. The golden ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos.
This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of giza, to the proportions of the human face, to quasicrystals, the golden ratio has an infinite capacity to generate shapes with exquisite properties.
The Golden Ratio:The Divine Beauty of Mathematics #ad - This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book. Author gary meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life.
Whoever you are, and whatever you may know about this topic, you’ll find something new, and informative in this book, interesting, apply, and may find yourself challenged to see, and share this unique number of mathematics and science in new ways.
Is God a Mathematician?Simon & Schuster #ad - 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. 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.
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? #ad - This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them. Is god a mathematician? investigates why mathematics is as powerful as it is. 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.
The Golden Section: Nature's Greatest SecretWooden Books #ad - Genuinely mind-expanding" FORTEAN TIMES. Designed for artists and scientists alike, this is the smallest, densest and most beautiful book on the golden section ever produced. Rich and artful" THE LANCET. Excellent" new sCIENTIST. Stunning" new yorK TIMES. Beautiful" london review OF BOOKS. Fascinating" finanCIAL TIMES.
Small books, big ideas. Wooden books are small but packed with information. What was the golden secret known to leonardo da vinci, a pattern we instinctively recognise as beautiful, 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, Kepler, and which nature herself uses at every scale.
Ruler and Compass: Practical Geometric ConstructionsWooden Books #ad - Designed to last until the lights go out, this is a timeless book. Genuinely mind-expanding" FORTEAN TIMES. Rich and artful" THE LANCET. Beautiful" london review OF BOOKS. Fascinating" finanCIAL TIMES. Stunning" new yorK TIMES. How do you draw a heptagon? what about a heptakaidecagon? how do you fit circles perfectly into triangles? And around them? If the computer is down - could you do it with ruler and compass? In this unique little book, used for centuries by architects, carpenters, Andrew Sutton guides you through the once treasured principles of ruler and compass constructions, stonemasons and master craftsmen.
Small books, big ideas. Wooden books are small but packed with information. Excellent" new sCIENTIST.
e: The Story of a Number Princeton Science Library Book 72Princeton University Press #ad - Louis are all intimately connected with the mysterious number e. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science. The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St.
In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number.
Cosmometry: Exploring the HoloFractal Nature of the CosmosCosmometria Publishing #ad - As such, kindle features such as changing font, reverse light/dark background, text size, etc. With over 400 color images and illustrations, spiritual insight and experiential knowing, and bridging personal observation, scientific research, Cosmometry offers a guided exploration into new understandings about the fractal-hologramic nature of the unified field from which everything emerges in a seamless integrity of wholeness.
Please note: this is a Print Replica version of Kindle eBook. Are not available when viewing this book, and not all Kindle devices are supported See link below for list of compatible devices. It looks exactly the same as the print book to preserve the placement of images in relationship to the corresponding text.
Cosmometry: Exploring the HoloFractal Nature of the Cosmos #ad - Synthesizing foundational theories of buckminster fuller, cosmometry – exploring the HoloFractal Nature of the Cosmos presents a new look at age-old questions about the universe we live in, David Bohm, Nassim Haramein, Foster Gamble, Richard Merrick and others, and the origin of consciousness with which we are aware of it.
Cosmometry is the study of this underlying order, wherein cosmic geometry, unified physics and the harmonic system of music are seen as three lenses through which to view one phenomenon — universal dynamics of energy and matter manifesting in physical form and flow. See link below for list of compatible devices before purchasing.
Throughout nature we can see patterns, structures, processes and systems that reflect an underlying order of energy dynamics that literally in-forms the observable universe across all scales. Please note: this is a prinT REPLICA version of Kindle eBook.
Patterns in Nature: Why the Natural World Looks the Way It DoesUniversity of Chicago Press #ad - Very often the same types of pattern and form – spirals, say—recur in places that seem to have nothing in common, and fractals, stripes, branches, as when the markings of a zebra mimic the ripples in windblown sand. Revealing the order at the foundation of the seemingly chaotic natural world, Patterns in Nature explores not only the math and science but also the beauty and artistry behind nature’s awe-inspiring designs.
Unlike the patterns we create in technology, architecture, and art, natural patterns are formed spontaneously from the forces that act in the physical world. Though at first glance the natural world may appear overwhelming in its diversity and complexity, there are regularities running through it, from the hexagons of a honeycomb to the spirals of a seashell and the branching veins of a leaf.
Patterns in Nature: Why the Natural World Looks the Way It Does #ad - That’s because, as patterns in nature shows, at the most basic level these patterns can often be described using the same mathematical and physical principles: there is a surprising underlying unity in the kaleidoscope of the natural world. Richly illustrated with 250 color photographs and anchored by accessible and insightful chapters by esteemed science writer Philip Ball, powerful rivers, Patterns in Nature reveals the organization at work in vast and ancient forests, massing clouds, and coastlines carved out by the sea.
By exploring similarities such as those between a snail shell and the swirling stars of a galaxy, this spectacular visual tour conveys the wonder, or the branches of a tree and those of a river network, beauty, and richness of natural pattern formation.
Sacred GeometryWooden Books #ad - Wooden books are small but packed with information. Excellent" new sCIENTIST. Beautiful" london review OF BOOKS. Stunning" new yorK TIMES. Genuinely mind-expanding" FORTEAN TIMES. Small books, big ideas. Fascinating" finanCIAL TIMES. Rich and artful" THE LANCET. Is there a secret visual language all around us? what’s so special about the shape of the great pyramid? Why is there something so sixy about circles? How many ways can you tile the plane? Lavishly illustrated by the author, fabric repeat, window, graphic design, arch, painting, ceramic pattern, this enchanting small introduction to one of the oldest and most widely-used ancient traditions on Earth will forever change the way you look at a triangle, spiral or flower.
The Mathematics of Everyday LifePrometheus #ad - Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, geometry, algebra, and more. If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind.
And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. As the authors show, and sharpening your computational skills, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in.
The Mathematics of Everyday Life #ad - With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round.
After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.