Generalizations of Pythagoras Theorem to Polygons Mathematics

Misra, Ram Bilas

ISBN 10: 1925823814 ISBN 13: 9781925823813

Editorial: Central West Publishing, 2020

Idioma: Ingl�s

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T�tulo

Generalizations of Pythagoras Theorem to Polygons Mathematics

Editor

Central West Publishing

Fecha de publicaci�n

2020

Idioma

Ingl�s

ISBN 10

1925823814

ISBN 13

9781925823813

Encuadernaci�n

PAP

Estado

New

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Sinopsis

The book deals with the generalizations of Pythagoras theorem to polygons. The celebrated result of the Pythagoras theorem representing the sum of squares of two (positive) integers as the square of another integer has been extended to quadrilaterals composed of two right triangles so that the sum of squares of its first three sides equals the square of the remaining side. In the language of algebra, integral solutions of a quadratic equation a² + b² + c² = d² are explored. The first 18 Sections in the first chapter deal with the special cases when the length of the fourth side exceeds that of the third side by numeric values: 1-17. The last section consists of some miscellaneous results.

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Acerca del autor

Prof. Dr. Ram Bilas Misra, a former Vice-Chancellor of Avadh University, Faizabad (Ayodhya), India, has a long experience of teaching the subject since 1962 at different universities in India and abroad. He published 64 original research papers in Diff. Geom. of Finslerian Manifolds and Mathematical Physics in the leading research journals of international repute. As a regular reviewer, he published reviews of over 100 research papers in Mathl. Reviews and Zentralblatt f�r Mathematik. He has been frequently quoted both at home and abroad; notably, in the research monographs Foundations of Finsler Geometry and Special Finsler Spaces by Prof. Makoto Matsumoto of Kyoto Univ., Japan and Finsler Geometry, Relativity and Gauge Theories by Prof. G.S. Asanov of Moscow State Univ., Russia. Prof. Misra is widely travelled and experienced academician. He has been a frequent visitor to the universities at Turin, Padua and ICTP, Trieste (all in Italy) and a visiting professor to the universities at Sopron (Hungary), Wroclaw (Poland) and Mahatma Gandhi Kashi Vidyapith, Varanasi (India).

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