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My Memoirs Volume 5 Part-I Abyss and Game of Polynomials and Coefficients : Algebraic Cubic And Elliptic Curves

Author Name: Abhishek Bansal | Format: Paperback | Genre : Educational & Professional | Other Details

This book presents an important novel study with interesting conclusions on algebraic cubic curves and elliptic curves. Various popular algebraic cubic curves and elliptic curves viz., Ochoa curve, Mordell curve, projection, birational transformation, Conchoid of de Sluze, Maltese cross curve, Semicubical Parabola, Tschirnhausen Cubic, Right Strophoid, Strophoid, have been studied to find exhaustively which could resemble with the same shape but with a different degree of polynomial and coefficient. The affect of higher order polynomials and the accuracy obtained with RMSE and interpolation has also been studied and in total 392 plots are submitted with equations.

The research has three novelties - different curves obtained by changing coefficients, the solutions in both x and y are given and the roots which are obtained from the algebraic curve equation, are again interpolated with different degrees viz., degree 2, 4, 6 and 10, with root mean square error.

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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Abhishek Bansal

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'.

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