Download or read book A Mathematical History of Division in Extreme and Mean Ratio written by Roger Herz-Fischler and published by Wilfrid Laurier Univ. Press. This book was released on 1987 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Mathematical History of the Golden Number written by Roger Herz-Fischler and published by Courier Corporation. This book was released on 2013-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
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 The Golden Ratio written by Mario Livio and published by Turtleback Books. This book was released on 2003-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: For use in schools and libraries only. Offers a look at phi, or "the golden ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, biology, philosophy, and other fields.
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 Discrete Encounters written by Craig Bauer and published by CRC Press. This book was released on 2020-05-14 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Visual Culture and Mathematics in the Early Modern Period written by Ingrid Alexander-Skipnes and published by Taylor & Francis. This book was released on 2017-01-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world. This volume makes its contribution by offering new interdisciplinary approaches that not only investigate perspective but also examine how mathematics enriched aesthetic theory and the human mind. The contributors explore the portrayal of mathematical activity and mathematicians as well as their ideas and instruments, how artists displayed their mathematical skills and the choices visual artists made between geometry and arithmetic, as well as Euclid’s impact on drawing, artistic practice and theory. These chapters cover a broad geographical area that includes Italy, Switzerland, Germany, the Netherlands, France and England. The artists, philosophers and mathematicians whose work is discussed include Leon Battista Alberti, Nicholas Cusanus, Marsilio Ficino, Francesco di Giorgio, Leonardo da Vinci and Andrea del Verrocchio, as well as Michelangelo, Galileo, Piero della Francesca, Girard Desargues, William Hogarth, Albrecht Dürer, Luca Pacioli and Raphael.
Download or read book Foundation written by David G. Leahy and published by SUNY Press. This book was released on 1996-01-01 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the ontological and logical foundation of a new form of thinking, the beginning of an "absolute phenomenology." It does so in the context of the history of thought in Europe and America. It explores the ramifications of a categorically new logic. Thinkers dealt with include Plato, Galileo, Hegel, Kierkegaard, Marx, Nietzsche, Husserl, Heidegger, Peirce, James, Dewey, Derrida, McDermott, and Altizer.
Download or read book Fibonacci Analysis written by Constance Brown and published by John Wiley & Sons. This book was released on 2010-05-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Only someone who is both a successful trader and a successful writer could pull off what Constance Brown has accomplished in this book: distilling Fibonacci analysis to two hundred or so comprehensive, clearly written, eminently practical pages. Brown knows exactly what a professional trying to come up to speed on a new trading tool needs and she provides it, covering what Fibonacci analysis is, how it works, where it comes from, pitfalls and dangers, and, of course, how to use it. Basic trading strategies are touched upon in virtually every chapter. Fibonacci analysis is one of the most popular technical analysis tools, yet it is often used incorrectly. Brown quickly clears up common misconceptions and moves on to show, step by step, the correct way to apply the technique in any market. Those with Fibonacci analysis software will learn how to use it with maximum effectiveness; those without will chart the market the old-fashioned way. All will find answers to the trader's most important questions: Where is the market going? At what level should my stop be entered? Based on the size of my trading account, how much should I leverage into a trading position? Can I tell if I am in trouble before my stop is hit? How much should I buy or sell if given a second or third opportunity? Occasional references to other tools--including Elliott Wave, W.D. Gann, and candlestick charts--and an extensive bibliography make this book richer for accomplished technical analysts without confounding the less experienced. Plentiful real-life examples and dozens of carefully annotated charts insure every reader will get maximum value from every minute spent with this book. Gold Medal Winner (tie), Investing Category, Axiom Business Book Awards (2009) Winner: Book Series Cover Design, The Bookbinders Guild of New York/2009 New York Book Show Awards
Download or read book From the Golden Rectangle to the Fibonacci Sequences written by Opher Liba and published by Springer Nature. This book was released on 2023-05-08 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The World of the Abbaco written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proportion written by Richard Padovan and published by Taylor & Francis. This book was released on 2002-09-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides readers with a well-illustrated and readable comparative guide to proportion systems in architecture, setting out the mathematical principles that underlie the main systems and illustrating these with examples of their use in historical and modern buildings. The main body of the text traces the interplay of abstraction and empathy through the history of science, philosophy and architecture from the early Greeks through to the two early twentieth-century architects who made proportion the focus of their work: Le Corbusier and Van der Laan. The book ends with a reflection on the present and future role of proportion in architecture.
Download or read book Platonism and Forms of Intelligence written by John Dillon and published by Walter de Gruyter. This book was released on 2012-10-31 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains a collection of papers presented at the International Symposium, which took place in Hvar, Croatia, in 2006. In recent years there has been an upsurge of interest in the study of Plato, Platonism and Neoplatonism. Taking the position that it is of vital importance to establish an ongoing dialogue among scientists, artists, academics, theologians and philosophers concerning pressing issues of common interest to humankind, this collection of papers endeavours to bridge the gap between contemporary research in Platonist philosophy and other fields where insights gained from the study of Plato and Platonist philosophy can be of consequence and benefit. Authors: Werner Beierwaltes, Luc Brisson, Amber Carpenter, John Dillon, Jonathan Doner, Franco Ferrari, Francesco Fronterotta, F.A.J. de Haas, Aaron Hughes, Byron Kaldis, Daniel Kolak, Thomas Leinkauf, Dionysis Mentzeniotis, Jean-Marc Narbonne, Giannis Stamatellos, Vladimir Stoupel, Patrick Quinn, Jure Zovko and Marie-Élize Zovko
Download or read book Spectral Music Design written by Victor Lazzarini and published by Oxford University Press. This book was released on 2021-08-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processing audio in the spectral domain has become a practical proposition for a variety of applications in computer music, composition, and sound design, making it an area of significant interest for musicians, programmers, sound designers, and researchers. While spectral processing has beenexplored already from a variety of perspectives, previous approaches tended to be piecemeal: some dealt with signal processing details, others with a high-level music technology discussion of techniques, some more compositionally focused, and others at music/audio programming concerns. As authorVictor Lazzarini argues, the existing literature has made a good footprint in the area but has failed to integrate these various approaches within spectral audio. In Spectral Sound Design: A Computational Approach, Lazzarini provides an antidote. Spectral Sound Design: A Computational Approach givesauthors a set of practical tools to implement processing techniques and algorithms in a balanced way, covering application aspects as well the fundamental theory that underpins them, within the context of contemporary and electronic music practice. The book employs a mix of C++ for implementation,Python for prototyping, and Csound for deployment and music programming. The tight integration of these three languages as well as the wide scope offered by the combination (going from embedded to supercomputing, and including web-based and mobile applications) makes it the go-to resource to dealwith the practical aspects of the subject.
Download or read book The Shape of the Great Pyramid written by Roger Herz-Fischler and published by Wilfrid Laurier Univ. Press. This book was released on 2009-10-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who has not seen a picture of the Great Pyramid of Egypt, massive in size but deceptively simple in shape, and not wondered how that shape was determined? Starting in the late eighteenth century, eleven main theories were proposed to explain the shape of the Great Pyramid. Even though some of these theories are well known, there has never been a detailed examination of their origins and dissemination. Twenty years of research using original and difficult-to-obtain source material has allowed Roger Herz-Fischler to piece together the intriguing story of these theories. Archaeological evidence and ancient Egyptian mathematical texts are discussed in order to place the theories in their proper historical context. The theories themselves are examined, not as abstract mathematical discourses, but as writings by individual authors, both well known and obscure, who were influenced by the intellectual and social climate of their time. Among results discussed are the close links of some of the pyramid theories with other theories, such as the theory of evolution, as well as the relationship between the pyramid theories and the struggle against the introduction of the metric system. Of special note is the chapter examining how some theories spread whereas others were rejected. This book has been written to be accessible to a wide audience, yet four appendixes, detailed endnotes and an exhaustive bibliography provide specialists with the references expected in a scholarly work.
Download or read book Plato s Academy written by Paul Kalligas and published by Cambridge University Press. This book was released on 2020-03-12 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Academy was a philosophical school established by Plato that safeguarded the continuity and the evolution of Platonism over a period of about 300 years. Its contribution to the development of Hellenistic philosophical and scientific thinking was decisive, but it also had a major impact on the formation of most of the other philosophical trends emerging during this period. This volume surveys the evidence for the historical and social setting in which the Academy operated, as well as the various shifts in the philosophical outlook of Platonism during its existence. Its contribution to the evolution of special sciences such as mathematics is also examined. The book further includes the first complete annotated translation in English of Philodemus' History of the Academy, preserved on a papyrus from Herculaneum. It thus offers a comprehensive picture of one of the most prominent and influential of all educational institutions in ancient Greece.
