On the Hypotheses Which Lie at the Bases of Geometry PDF Download
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Author: Bernhard Riemann
Publisher: Birkhäuser
ISBN: 3319260421
Category : Mathematics
Languages : en
Pages : 181
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Book Description
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author: Bernhard Riemann
Publisher: Birkhäuser
ISBN: 3319260421
Category : Mathematics
Languages : en
Pages : 181
Get Book Here
Book Description
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author: Murray G. Murphey
Publisher: Hackett Publishing
ISBN: 9780872201835
Category : Philosophy
Languages : en
Pages : 454
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Book Description
A reprint of the Harvard University Press edition of 1961. Includes a new preface and a new appendix with footnotes keyed to the manuscript classifications by Max Fisch.
Author: Peter Pesic
Publisher: Courier Corporation
ISBN: 0486453502
Category : Mathematics
Languages : en
Pages : 226
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Book Description
Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.
Author: Alberto A. Martínez
Publisher: Princeton University Press
ISBN: 0691187827
Category : Mathematics
Languages : en
Pages : 280
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Book Description
A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 488
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Book Description
Author: Carlos L. Marcos
Publisher: Springer
ISBN: 3319937499
Category : Technology & Engineering
Languages : en
Pages : 1686
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Book Description
This is the Proceedings of the International Congress of Graphic Design in Architecture, EGA 2018, held in Alicante, Spain, May 30-June 1, 2018. About 200 professionals and researchers from 18 different countries attended the Congress. This book will be of interest to researchers in the field of architecture and Engineering. Topics discussed are Innovations in Architecture, graphic design and architecture, history and heritage among others.
Author: Jean-Michel Morel
Publisher: Springer Nature
ISBN: 3031122445
Category : Mathematics
Languages : en
Pages : 629
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Book Description
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
Author:
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 528
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Book Description
Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 478
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Book Description
Author: Jean Lassègue
Publisher: Springer Nature
ISBN: 3030429059
Category : Science
Languages : en
Pages : 198
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Book Description
This book presents the transformation of Cassirer’s transcendental point of view. At an early stage, Cassirer was confronted with a scientific crisis triggered by the emergence of various forms of objective knowledge, such as the plurality of geometric axiom systems and non-Euclidean geometry in relativistic physics. He finally developed a solution to the problematic unity of objective knowledge by replacing the overarching notion of objectivity with that of forms of objectification. This led him to consider the notion of “symbolic forms” as the driving force in the objectification process. This concept would become instrumental in demonstrating that the objective and human sciences are not adversaries; they merely differ in their modes of semiotic construction. These modes cannot be summarized in a fixed list of symbolic forms but operate transversally, at a level where Cassirer distinguishes between three specific operators: Expression, Evocation and Objectification. The last part of the book investigates how the relationships between these three operators stabilize specific symbolic forms. Four of these forms are then studied as examples: Myth and Ritual, Language, Scientific Knowledge, and Technology.
