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In this book approx 100 hyperelliptic curve equations are studied with varying coefficients. Random polynomial equations with even degree of 64 and the interpolation variants of cubic curves like elliptic curve, Ochoa curve, Mordell curve, projection, birational transformation, Conchoid of de Sluze, Maltese cross curve, Semicubical Parabola, Tschirnhausen Cubic, Right Strophoid, Strophoid, studied in book - ‘My Memoirs Vol 5, Part-I :: Abyss and Game of Polynomials and Coefficients : Algebraic Cubic And Elliptic Curves' are equated in the hyperelliptic curve equation and 372 plots obtained are submitted.
The aim of this study is to see if the hyperelliptic equation is equated with the cubic interpolated equations which are of order 4th or 6th or 10th degree (of the cubic polynomial), what they transform into - elliptic curves, or hyperelliptic curves remain preserved or how much shape or the geometry remains preserved ?
The complete book can be freely downloaded from author’s IEEE preprint webpage (by Google search). This research is accompanied with Data which can also be freely downloaded.
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अभिषेक बंसल
The author of this book had been an amateur scholar,fully self taught,had self studied various engineering, mathematical fields/specializations, astrology,medical sciences and Vedas. The author had been working as an independent researcher and as a practicing professional engineer for over 18 years with many industries. He is the Founder,Principal Consultant,Managing Director of 'New Era Consultancy Services' and its subsidiary company 'Learn Yourself Easy Solutions'.
