Download or read book Golden Sequences and Infinite Series written by N. P. Bali and published by Firewall Media. This book was released on 2007 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Series that Sum to Golden Ratio written by Pedro Hugo Garcia Pelaez and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Golden Ratio written by Mario Livio and published by Crown. This book was released on 2008-11-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. 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. 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 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. 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. It tells the human story of numerous phi-fixated individuals, 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, Cezanne, Bartok, and physicist Roger Penrose. 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.
Download or read book Count to Infinity written by John C. Wright and published by Tor Books. This book was released on 2017-12-26 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Count to Infinity is John C. Wright's spectacular conclusion to the thought-provoking hard science fiction Eschaton Sequence, exploring future history and human evolution. An epic space opera finale worthy of the scope and wonder of The Eschaton Sequence: Menelaus Montrose is locked in a final battle of wits, bullets, and posthuman intelligence with Ximen del Azarchel for the fate of humanity in the far future. The alien monstrosities of Ain at long last are revealed, their hidden past laid bare, along with the reason for their brutal treatment of Man and all the species seeded throughout the galaxy. And they have still one more secret that could upend everything Montrose has fought for and lived so long to achieve. The Eschaton Sequence #1 Count to a Trillion #2 The Hermetic Millennia #3 The Judge of Ages #4 The Architect of Aeons #5 The Vindication of Man At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Download or read book Golden Real Analysis written by N.P. Bali and published by Firewall Media. This book was released on 2005-12 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Student s Guide to Infinite Series and Sequences written by Bach, Jr. (Bernhard W.) and published by . This book was released on 2018 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Golden Sequence written by Evelyn Underhill and published by Wipf and Stock Publishers. This book was released on 2002-04-30 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Golden Age written by John C. Wright and published by Tor Books. This book was released on 2003-04-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Golden Age is Grand Space Opera, a large-scale SF adventure novel in the tradition of A. E. Van vogt and Roger Zelazny, with perhaps a bit of Cordwainer Smith enriching the style. It is an astounding story of super science, a thrilling wonder story that recaptures the excitements of SF's golden age writers. The Golden Age takes place 10,000 years in the future in our solar system, an interplanetary utopian society filled with immortal humans. Within the frame of a traditional tale-the one rebel who is unhappy in utopia-Wright spins an elaborate plot web filled with suspense and passion. Phaethon, of Radamanthus House, is attending a glorious party at his family mansion to celebrate the thousand-year anniversary of the High Transcendence. There he meets first an old man who accuses him of being an impostor and then a being from Neptune who claims to be an old friend. The Neptunian tells him that essential parts of his memory were removed and stored by the very government that Phaethon believes to be wholly honorable. It shakes his faith. He is an exile from himself. And so Phaethon embarks upon a quest across the transformed solar system--Jupiter is now a second sun, Mars and Venus terraformed, humanity immortal--among humans, intelligent machines, and bizarre life forms that are partly both, to recover his memory, and to learn what crime he planned that warranted such preemptive punishment. His quest is to regain his true identity. The Golden Age is one of the major, ambitious SF novels of the year and the international launch of an important new writer in the genre. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
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 Infinite sequences and series written by Konrad Knopp and published by . This book was released on 1952 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Student s Guide to Infinite Series and Sequences written by Bernhard W. Bach, Jr. and published by Cambridge University Press. This book was released on 2018-05-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and Fourier-Bessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.
Download or read book Complex Systems written by David G. Green and published by IOS Press. This book was released on 1993 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fibonacci s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Alt fractals written by Eric Baird and published by Chocolate Tree Books. This book was released on 2011 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.
Download or read book The Fabulous Fibonacci Numbers written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2010-12-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). 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. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, 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.
Download or read book Biomimetics written by Bharat Bhushan and published by Springer. This book was released on 2018-11-03 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an overview of the general field of biomimetics and biologically inspired, hierarchically structured surfaces. It deals with various examples of biomimetics, which include surfaces with roughness-induced super-phobicity/philicity, self-cleaning, antifouling, low drag, low/high/reversible adhesion, drag reduction in fluid flow, reversible adhesion, surfaces with high hardness and mechanical toughness, vivid colors produced structurally without color pigments, self-healing, water harvesting and purification, and insect locomotion and stinging. The focus in the book is on the Lotus Effect, Salvinia Effect, Rose Petal Effect, Superoleophobic/philic Surfaces, Shark Skin and Skimmer Bird Effect, Rice Leaf and Butterfly Wing Effect, Gecko Adhesion, Insects Locomotion and Stinging, Self-healing Materials, Nacre, Structural Coloration, and Nanofabrication. This is the first book of this kind on bioinspired surfaces, and the third edition represents a significant expansion from the previous two editions.
