5000 Years Of Geometry
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5000 Years Of Geometry
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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22
5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
Vinzenz Bronzin S Option Pricing Models
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Author : Wolfgang Hafner
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-18
Vinzenz Bronzin S Option Pricing Models written by Wolfgang Hafner 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 2009-11-18 with Business & Economics categories.
In 1908, Vinzenz Bronzin, a professor of mathematics at the Accademia di Commercio e Nautica in Trieste, published a booklet in German entitled Theorie der Prämiengeschäfte (Theory of Premium Contracts) which is an old type of option contract. Almost like Bachelier’s now famous dissertation (1900), the work seems to have been forgotten shortly after it was published. However, almost every element of modern option pricing can be found in Bronzin’s book. He derives option prices for an illustrative set of distributions, including the Normal. - This volume includes a reprint of the original German text, a translation, as well as an appreciation of Bronzin's work from various perspectives (economics, history of finance, sociology, economic history) including some details about the professional life and circumstances of the author. The book brings Bronzin's early work to light again and adds an almost forgotten piece of research to the theory of option pricing.
Foundations Of Geometric Cognition
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Author : Mateusz Hohol
language : en
Publisher: Routledge
Release Date : 2019-09-12
Foundations Of Geometric Cognition written by Mateusz Hohol and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-12 with Psychology categories.
The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.
Quantum Field Theory Ii Quantum Electrodynamics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-03
Quantum Field Theory Ii Quantum Electrodynamics written by Eberhard Zeidler 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 2008-09-03 with Mathematics categories.
And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.
Basic Geometry For College Students An Overview Of The Fundamental Concepts Of Geometry
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Author : Alan S. Tussy
language : en
Publisher: Cengage Learning
Release Date : 2009-04-30
Basic Geometry For College Students An Overview Of The Fundamental Concepts Of Geometry written by Alan S. Tussy and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-30 with Mathematics categories.
Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The History Of Mathematics
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Author : David M. Burton
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1999
The History Of Mathematics written by David M. Burton and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
A full account of how mathematics has developed over the past 5000 years, this text is basically chronological. It begins with the origin of mathematics in the great civilizations of antiquity and progresses through the first few decades of the 20th century.
The Question Concerning Technology In China
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Author : Yuk Hui
language : en
Publisher: MIT Press
Release Date : 2016-09-02
The Question Concerning Technology In China written by Yuk Hui and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Philosophy categories.
A systematic historical survey of Chinese thought is followed by an investigation of the historical-metaphysical questions of modern technology, asking how Chinese thought might contribute to a renewed questioning of globalized technics. Heidegger's critique of modern technology and its relation to metaphysics has been widely accepted in the East. Yet the conception that there is only one—originally Greek—type of technics has been an obstacle to any original critical thinking of technology in modern Chinese thought. Yuk Hui argues for the urgency of imagining a specifically Chinese philosophy of technology capable of responding to Heidegger's challenge, while problematizing the affirmation of technics and technologies as anthropologically universal. This investigation of the historical-metaphysical question of technology, drawing on Lyotard, Simondon, and Stiegler, and introducing a history of modern Eastern philosophical thinking largely unknown to Western readers, including philosophers such as Feng Youlan, Mou Zongsan, and Keiji Nishitani, sheds new light on the obscurity of the question of technology in China. Why was technics never thematized in Chinese thought? Why has time never been a real question for Chinese philosophy? How was the traditional concept of Qi transformed in its relation to Dao as China welcomed technological modernity and westernization? In The Question Concerning Technology in China, a systematic historical survey of the major concepts of traditional Chinese thinking is followed by a startlingly original investigation of these questions, in order to ask how Chinese thought might today contribute to a renewed, cosmotechnical questioning of globalized technics.