A Mathematical History Of Division In Extreme And Mean Ratio
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A Mathematical History Of Division In Extreme And Mean Ratio
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Author : Roger Herz-Fischler
language : en
Publisher: Wilfrid Laurier Univ. Press
Release Date : 1987
A Mathematical History Of Division In Extreme And Mean Ratio written by Roger Herz-Fischler and has been published by Wilfrid Laurier Univ. Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Electronic books categories.
A Mathematical History Of The Golden Number
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Author : Roger Herz-Fischler
language : en
Publisher: Courier Corporation
Release Date : 2013-12-31
A Mathematical History Of The Golden Number written by Roger Herz-Fischler and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.
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.
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : Ivor Grattan-Guiness
language : en
Publisher: Routledge
Release Date : 2004-11-11
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by Ivor Grattan-Guiness and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-11 with History categories.
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Visual Culture And Mathematics In The Early Modern Period
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Author : Ingrid Alexander-Skipnes
language : en
Publisher: Taylor & Francis
Release Date : 2017-01-06
Visual Culture And Mathematics In The Early Modern Period written by Ingrid Alexander-Skipnes and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Art categories.
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.
The Mathematics Of Harmony
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Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2009
The Mathematics Of Harmony written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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."
Proportion
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Author : Richard Padovan
language : en
Publisher: Taylor & Francis
Release Date : 2002-09-11
Proportion written by Richard Padovan and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Architecture categories.
This handbook provides the student, practising architect or interested layman with a well-illustrated and readable comparative guide to proportion systems in architecture.
In Synchrony With The Heavens Volume 2 Instruments Of Mass Calculation
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Author : David King
language : en
Publisher: BRILL
Release Date : 2005-06-01
In Synchrony With The Heavens Volume 2 Instruments Of Mass Calculation written by David King and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-01 with Philosophy categories.
This is the first investigation of one of the main interests of astronomy in Islamic civilization, namely, timekeeping by the sun and stars and the regulation of the astronomically-defined times of Muslim prayer. The study is based on over 500 medieval astronomical manuscripts first identified by the author, now preserved in libraries all over the world and originally from the entire Islamic world from the Maghrib to Central Asia and the Yemen. The materials presented provide new insights into the early development of the prayer ritual in Islam. They also call into question the popular notion that religion could not inspire serious scientific activity. Only one of the hundreds of astronomical tables discussed here was known in medieval Europe, which is one reason why the entire corpus has remained unknown until the present. A second volume, also to be published by Brill, deals with astronomical instruments for timekeeping and other computing devices.
The Urban Archetypes Of Jane Jacobs And Ebenezer Howard
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Author : Abraham Akkerman
language : en
Publisher: University of Toronto Press
Release Date : 2020-01-09
The Urban Archetypes Of Jane Jacobs And Ebenezer Howard written by Abraham Akkerman and has been published by University of Toronto Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-09 with Architecture categories.
Ebenezer Howard, an Englishman, and Jane Jacobs, a naturalized Canadian, personify the twentieth century's opposing outlooks on cities. Howard had envisaged small towns, newly built from scratch, fashioned on single family homes with small gardens. Jacobs embraced existing inner-city neighbourhoods emphasizing the verve of the living street. From Howard's idea, the American Dream of garden suburbs had emerged, yet his conceptualization of a modern city received criticism for being uniform and alienated from the rest of the city. Similarly, at the turn of the new century, Jacobs' inner-city neighbourhoods came to be recognized as the result of commodification, vacillating between poverty and newly discovered hubs of urban authenticity. Presenting Howard and Jacobs within a psychocultural context, The Urban Archetypes of Jane Jacobs and Ebenezer Howard addresses our urban crisis in the recognition that "city form" is a gendered, allegorical medium expressing femininity and masculinity within two founding features of the built environment: void and volume. Both founding contrasts bring tensions, but also the opportunities of fusion between pairs of urban polarities: human scale against superscale, gait against speed, and spontaneity against surveillance. Jacobs and Howard, in their respective attitudes, have come to embrace the two ancient archetypes, the Garden and the Citadel, leaving it to future generations to blend their two contrarian stances.
The Open Dynamics Of Braitenberg Vehicles
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Author : Scott Hotton
language : en
Publisher: MIT Press
Release Date : 2024-06-18
The Open Dynamics Of Braitenberg Vehicles written by Scott Hotton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-18 with Science categories.
An introduction to dynamical systems theory, a detailed mathematical analysis of pairs of Braitenberg vehicles, and a look at how these results apply to the study of physical and biological organisms. Powering the concept of a Braitenberg vehicle, developed in 1984 by the Italian-Austrian cyberneticist Valentino Braitenberg, is the idea that simple systems can produce complex behaviors. A pair of interacting Braitenberg vehicles is simple, but they can meander, wind around, and follow each another in a number of ways. In this book, Scott Hotton and Jeff Yoshimi show how dynamical systems theory—in particular the theory of open dynamic systems—can be used to analyze pairs of these vehicles in great detail. The result of the authors’ long-standing collaboration at the intersection of mathematics, philosophy, cognitive science, and biology, The Open Dynamics of Braitenberg Vehicles offers a rigorous mathematical foundation for embodied cognition, especially when it comes to two-way interactions between an agent and its environment. Following an introduction to dynamical systems theory, and the most detailed mathematical analysis of Braitenberg vehicles to date, Hotton and Yoshimi discuss how their results can be applied to the study of physical and biological systems. They also describe their work's relevance to debates in the philosophy of embodied cognitive science. Combining the best features of embodied and representational approaches to cognitive science, complete with code and simulations, The Open Dynamics of Braitenberg Vehicles provides an extremely accessible and visually rich look into the workings and applications of open dynamical systems.
Problem Solving And Selected Topics In Euclidean Geometry
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Author : Sotirios E. Louridas
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Problem Solving And Selected Topics In Euclidean Geometry written by Sotirios E. Louridas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Mathematics categories.
"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.