Zero and Pi: Symbols of Mathematical Spirit

The book explores the evolution of the concept and symbols of zero and pi, discussing their history from the Neolithic Age to the nineteenth century. It challenges the assumption that Johann Heinrich Lambert invented the irrationality of pi alone and credits him jointly with André Marie Legendre. Part 1 discusses the transition of the symbol O from Vedic religious practices to mathematics, while Part 2 unveils the nature of pi interwoven with historical events. Appendices provide Sanskrit verses and mathematical deductions for a better understanding.

Format: Hardback
Length: 21 pages
Publication date: 30 March 2024
Publisher: Springer Verlag, Singapore

The book, divided into two major parts, delves into the evolution of the concept and symbols of zero and the history of pi. Spanning from the Neolithic Age to the nineteenth century, these topics are explored in depth. It challenges the assumption that Johann Heinrich Lambert (AD 1761) solely invented the irrationality of pi, crediting him jointly with André Marie Legendre (AD 1794).

Part 1, consisting of six stages spread across six chapters, presents a challenge to the authors as eminent scholars of mathematics have diverse opinions based on conjectures. This part primarily discusses how the symbol O, used in Vedic religious practices as a replica of the universe prescribed for meditation on the unknown Brahman, was later transcended to represent an unknown quantity in mathematics alongside a dot for zero in an atheistic context. It also highlights how the zero notation and the decimal system of Indian numerals, adorned with the algebraic thoughts of Brahmagupta, were passed on to China and Europe via Arabia. Topics in this part trace the development from the origin to the final form as seen today, after the influence of Western practices. It aims to settle the long-standing debate over history. Appendices provide Sanskrit verses (transliterated with meanings into English) alongside essential mathematical deductions referred to in the body of the part to enhance the reader's understanding.

Part 2 introduces a novel idea of unveiling the nature of pi intertwined with threads of historical ups and downs in the world scenario. Comprising five chapters, it collects all available up-to-date data from various fields of history to present a comprehensive presentation. This part completes the book in all respects.

Dimension: 235 x 155 (mm)
ISBN-13: 9789819930715