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.
Mus Mathematimus Hyperelliptical Geometry
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Author : Stenio Musich
language : en
Publisher: Stenio Musich
Release Date : 2024-03-25
Mus Mathematimus Hyperelliptical Geometry written by Stenio Musich and has been published by Stenio Musich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Mathematics categories.
M.U.S. (Mathematical Uniform Space) is a new number of π (pi), representing the reality of the Universe in which we live. With this number, we created a new geometry, Hyperelliptical Geometry, which will provide the unification of physics, thus uniting the Theory of Relativity and Quantum Theory. A new geometry for a new Mathematics and a new Physics. (ISBN 978-65-00-98107-0).
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.
Quantum Field Theory I Basics In Mathematics And Physics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-18
Quantum Field Theory I Basics In Mathematics And Physics 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 2007-04-18 with Science categories.
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
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.
Remote Sensed Data And Processing Methodologies For 3d Virtual Reconstruction And Visualization Of Complex Architectures
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Author : Diego Gonzalez-Aguilera
language : en
Publisher: MDPI
Release Date : 2018-09-28
Remote Sensed Data And Processing Methodologies For 3d Virtual Reconstruction And Visualization Of Complex Architectures written by Diego Gonzalez-Aguilera and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-28 with Electronic book categories.
This book is a printed edition of the Special Issue "Remote Sensed Data and Processing Methodologies for 3D Virtual Reconstruction and Visualization of Complex Architectures" that was published in Remote Sensing
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.
Creators Of Mathematical And Computational Sciences
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Author : Ravi P Agarwal
language : en
Publisher: Springer
Release Date : 2014-11-11
Creators Of Mathematical And Computational Sciences written by Ravi P Agarwal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-11 with Mathematics categories.
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Geometry For Dummies
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Author : Mark Ryan
language : en
Publisher: John Wiley & Sons
Release Date : 2016-07-05
Geometry For Dummies written by Mark Ryan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Mathematics categories.
Hit the geometry wall? Get up and running with this no-nonsense guide! Does the thought of geometry make you jittery? You're not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you'll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time. Geometry is a subject full of mathematical richness and beauty. But it's a subject that bewilders many students because it's so unlike the math they've done before—it requires the use of deductive logic in formal proofs. If you're having a hard time wrapping your mind around what that even means, you've come to the right place! Inside, you'll find out how a proof's chain of logic works and even discover some secrets for getting past rough spots along the way. You don't have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry! Find out how to decode complex geometry proofs Learn to reason deductively and inductively Make sense of angles, arcs, area, and more Improve your chances of scoring higher in your geometry class There's no reason to let your nerves get jangled over geometry—your understanding will take new shape with the help of Geometry For Dummies.