Advanced Geometry

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This book deals mainly with the analysis of solid angle which makes it unique one. It is created as a new academic research carried on over two years which provides a thorough analysis in an easy-to-read style. It analyses, systematically & logically all the concepts of article & their applications to enable the learners to comprehend the subject with ease. So far, the article of solid angle needed to be improved in order to put it in the practice for case-studies & engineering applications. The articles discussed in this book deal with the analysis of 2-D & 3-D figures in Geometry which have wide applications in the fields of photometry as well as radiometry. This book provides advanced knowledge to the learners of higher education as Intermediate, B. Tech, B.Sc., educators, Academicians...

Harish Chandra Rajpoot (HCR)

He is studying for a PhD at IIT Bombay. He received his master's in Production Engineering from IIT Delhi. He wrote his first book, Advanced Geometry, based on research articles in Applied Mathematics & Radiometry for higher education, which was first published by Notion Press, Chennai, India in April, 2014. He published a handbook of holistic formulas from 'Advanced Geometry' in 2015. He also authored a new book, 'Electro-Magnetism' in Theoretical Physics, published with Notion Press in Feb 2020. He was given the Best Paper Award for outstanding performance for his research paper 'Magnetic Field Generated by Rotating Electric Charge' in the Young Scholars' National Research Writing Competition organized by Mindshare Yuva on 8th March, 2021. He invented a formula named 'HCR's Rank Formula' in Algebra & derived a series named 'HCR's Series' in Number Theory. He proposed 'HCR's Theory of Polygon' to find out the solid angle subtended by any polygonal plane at any point in space. He derived the generalized formulas for regular polyhedra (all five platonic solids), regular spherical polygons, infinite families of trapezohedra, uniform polyhedra with trapezoidal faces, and regular polygonal right antiprisms. He derived HCR's Theorem of Rotation and its corollary. He derived an infinite series for the analysis of conical sections. He has been an active reviewer for the MERJ (Springer Nature) since Jan 2026, and the Journal of Pure and Applied Mathematics, Pulsus Group, since Feb 2023.

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