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Author: Charles Josiah Woodward
Publisher:
ISBN:
Category :
Languages : en
Pages : 104
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Book Description
Author: Charles Josiah Woodward
Publisher:
ISBN:
Category :
Languages : en
Pages : 104
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Book Description
Author: Yu I Manin
Publisher: World Scientific
ISBN: 9814499552
Category : Mathematics
Languages : en
Pages : 614
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Book Description
The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk “Mathematics as Metaphor” summarises the author's view on mathematics as an outgrowth of natural language.
Author: Neil Arnott
Publisher:
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
Author: Yvon Gauthier
Publisher: Birkhäuser
ISBN: 331922087X
Category : Mathematics
Languages : en
Pages : 193
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Book Description
This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of logic and mathematics.
Author: I͡U. I. Manin
Publisher: American Mathematical Soc.
ISBN: 0821843311
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.
Author: Christopher G. Morris
Publisher: Gulf Professional Publishing
ISBN: 9780122004001
Category : Computers
Languages : en
Pages : 2488
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Book Description
A Dictonary of Science and Technology. Color Illustration Section. Symbols and Units. Fundamental Physical Constants. Measurement Conversion. Periodic Table of the Elements. Atomic Weights. Particles. The Solar System. Geologial Timetable. Five-Kingdom Classification of Organisms. Chronology of Modern Science. Photo Credits.
Author: Dominic J. O'Meara
Publisher: Oxford University Press
ISBN: 9780198239130
Category : Philosophy
Languages : en
Pages : 268
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Book Description
The Pythagorean idea that number is the key to understanding reality inspired Neoplatonist philosophers in the fourth and fifth centuries to develop theories in physics and metaphysics based on mathematical models. The theories produced by this revived interest in Pythagoreanism were to becomeinfluential in medieval and early modern philosophy, and this book makes use of some newly-discovered evidence to examine for the first time the development of those theories.
Author: Yuri Tschinkel
Publisher: Springer Science & Business Media
ISBN: 0817647457
Category : Mathematics
Languages : en
Pages : 723
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Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Author: Mark Burgin
Publisher: World Scientific
ISBN: 9811214328
Category : Mathematics
Languages : en
Pages : 960
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Book Description
For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
Author:
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 340
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Book Description
