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Non-diophantine arithmetics in mathe...

Czachor, Marek,

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Non-diophantine arithmetics in mathematics, physics and psychology /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-diophantine arithmetics in mathematics, physics and psychology // Mark Burgin, Marek Czachor.
作者:	Burgin, M. S.
其他作者:	Czachor, Marek,
出版者:	New Jersey :World Scientific, : c2021.,
面頁冊數:	xix, 939 p. :ill. ;24 cm.
內容註:	Introduction: Operation with numbers as a base of the contemporary culture -- Non-diophantine arithmetics of natural and whole numbers --Non-diophantine arithmetics of real and complex numbers -- Non-diophantinearithmetics and fractals -- Non-diophantine arithmetics in physics --Non-diophantine arithmetic in psychophysics.
標題:	Arithmetic. -
ISBN:	9789811214301

Non-diophantine arithmetics in mathematics, physics and psychology /
Burgin, M. S.

Non-diophantine arithmetics in mathematics, physics and psychology /Mark Burgin, Marek Czachor. - New Jersey :World Scientific,c2021. - xix, 939 p. :ill. ;24 cm.

Includes bibliographical references and index.

Introduction: Operation with numbers as a base of the contemporary culture -- Non-diophantine arithmetics of natural and whole numbers --Non-diophantine arithmetics of real and complex numbers -- Non-diophantinearithmetics and fractals -- Non-diophantine arithmetics in physics --Non-diophantine arithmetic in psychophysics.

"For a long time, all thought there was only one geometry - Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometrieswere discovered. It took almost two millennia to do this. This was the majormathematical discovery and advancement of the 19th century, which changedunderstanding of mathematics and the work of mathematicians providinginnovative insights and tools for mathematical research and applications ofmathematics. A similar event happened in arithmetic in the 20th century.Even longer than with geometry, all thought there was only one conventionalarithmetic of natural numbers - the Diophantine arithmetic, in which 2+2=4and 1+1=2. It is natural to call the conventional arithmetic by the nameDiophantine arithmetic due to the important contributions to arithmetic byDiophantus. Nevertheless, in the 20th century, many non-Diophantinearithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took morethan two millennia to do this. This discovery has even more implicationsthan the discovery of new geometries because all people use arithmetic. Thisbook provides a detailed exposition of the theory of non-Diophantinearithmetics and its various applications. Reading this book, the reader willsee that on the one hand, non-Diophantine arithmetics continue the ancienttradition of operating with numbers while on the other hand, they introduceextremely original and innovative ideas"--

ISBN: 9789811214301US198

LCCN: 2020032978Subjects--Topical Terms:

516223
Arithmetic.

LC Class. No.: QA242 / .B886 2021

Dewey Class. No.: 512.7/2

Non-diophantine arithmetics in mathematics, physics and psychology /
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300 $a xix, 939 p. : $b ill. ; $c 24 cm.
504 $a Includes bibliographical references and index.
505 0 # $a Introduction: Operation with numbers as a base of the contemporary culture -- Non-diophantine arithmetics of natural and whole numbers --Non-diophantine arithmetics of real and complex numbers -- Non-diophantinearithmetics and fractals -- Non-diophantine arithmetics in physics --Non-diophantine arithmetic in psychophysics.
520 # $a "For a long time, all thought there was only one geometry - Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometrieswere discovered. It took almost two millennia to do this. This was the majormathematical discovery and advancement of the 19th century, which changedunderstanding of mathematics and the work of mathematicians providinginnovative insights and tools for mathematical research and applications ofmathematics. A similar event happened in arithmetic in the 20th century.Even longer than with geometry, all thought there was only one conventionalarithmetic of natural numbers - the Diophantine arithmetic, in which 2+2=4and 1+1=2. It is natural to call the conventional arithmetic by the nameDiophantine arithmetic due to the important contributions to arithmetic byDiophantus. Nevertheless, in the 20th century, many non-Diophantinearithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took morethan two millennia to do this. This discovery has even more implicationsthan the discovery of new geometries because all people use arithmetic. Thisbook provides a detailed exposition of the theory of non-Diophantinearithmetics and its various applications. Reading this book, the reader willsee that on the one hand, non-Diophantine arithmetics continue the ancienttradition of operating with numbers while on the other hand, they introduceextremely original and innovative ideas"-- $c Provided by publisher.
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