A Collection of Problems on Hyperbolas and Special Polygonal Numbers: Problems on Hyperbolas

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KY Publications, Jan 1, 2018 - Mathematics - 68 pages
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This book contains a reasonable collection of problems on hyperbolas represented by binary quadratic Diophantine equations. From the integer solutions of each of the above equations, the relations among special polygonalnumbers are obtained. The formal prerequisites for the material are minimal. It is hoped that these problems may create an interest in the hearts of researchers and lovers of mathematics who approach it with pure love for its beauty. There is no wonder that binary quadratic Diophantine equations in connection with polygonal numbers are beautiful and tricky enough to keep a mathematician occupied for entire life.

 

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Contents

Hyperbola represented By positive pell equation 118
1
Hyperbola Represented By Negative Pell Equation 1936
19
Hyperbola represented By 3750
37
Hyperbola represented By 5162
51
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About the author (2018)

Dr.M.A.Gopalan is currently Professor of Mathematics at Shrimati

Indira Gandhi College, Trichy. He has taught mathematics for nearly

two decades. He is interested in problem solving in the area of

Diophantine equations and Number Patterns. He serves in the editorial

boards of IJPMS and IJAR. He is a life member of Kerala Mathematics

Association .

Dr.K.Meena former Vice-Chancellor, Bharathidhasan University Trichy

is a Multidimensional personality. She was the women to assume the

post of Vice-Chancellor in the history of Bharathidhasan University.

She is the recipient of the Gavoty France Award and Young Women

Scientist Award given by the Tamilnadu State Council for Science and

Technology. She serves in the editorial boards of the journals IJOER and

BOMSR.

Dr.S.Vidhyalakshmi is currently Professor of Mathematics and

Principal at Shrimati Indira Gandhi College, Trichy. She has taught

mathematics for nearly two decades. Her research interest is solving

Diophantine equations.

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