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Zero and Pi
Amalkumar Mukhopadhyay, Siddheshwar Rameshwar Bhatt (Broschiert, Englisch)
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Beschreibung
The book, divided into two major parts, discusses the evolution of the concept and symbols of zero and the history of pi. Both the topics are discussed from the Neolithic Age to the nineteenth century. The book also clears the assumption that Johann Heinrich Lambert (AD 1761) only invented the irrationality of pi by crediting Lambert jointly with André Marie Legendre (AD 1794). Part 1, consisting… of six stages spread in six chapters, meets a challenge to the authors as eminent scholars of the history of mathematics have diverse opinions based on conjectures. This part primarily discusses how the symbol O, in the Vedic religious practices, considered a replica of the universe prescribed for meditation on the unknown Brahman (conceived of as the space supreme in the Upanishads), was later transcended to the symbol of an unknown quantity in mathematics along with a dot for zero in an arena of atheism. It also highlights how the zero notation and the decimal system of Indian numerals embellished with the algebraic thoughts of Brahmagupta passed on to China and Europe via Arabia. Topics in this part have traced the development from the origin to the final form as seen today after the western practice and try to put an end to the long-standing debate over history. Appendices contain the Sanskrit verses (transliterated with meanings into English) along with the essential mathematical deduction referred to in the body of the part to help the reader to have a better understanding. Part 2 speaks of a novel idea of unveiling the nature of pi interwoven with threads of historical ups and downs in the world scenario. This part, containing five chapters, collects all available up-to-date data in every field of history to make the presentation complete in all respects. This part discusses the origin of the definition of pi as the rim of a wheel is thrice its diameter at the Indus Valley in the fourth millennium BC. This part also discusses the enlightenment of China in circle-squaring (classical method), Indian mathematics with astronomical knowledge along the Buddhist channel, and India’s discovering circumference/diameter as a non-Euclidean number. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.03.2025
Sprache
Englisch
EAN
9789819930746
Herausgeber
Springer Singapore
Sonderedition
Nein
Autor
Amalkumar Mukhopadhyay, Siddheshwar Rameshwar Bhatt
Seitenanzahl
21
Einbandart
Broschiert
Buch Untertitel
Symbols of Mathematical Spirit
Autorenporträt
Amalkumar Mukhopadhyay is an active researcher in Indian astronomy and mathematics. He acted as the resource person in geometry in workshops arranged by the State Council of Education, Research and Training and the National Council for Educational Research and Training. He has a Master’s degree in pure mathematics from the University of Calcutta with a uniformly brilliant academic career and Ph.D. in history of mathematics, and he finds interest in studying law, statistics, Sanskrit grammar, and
Schlagwörter
Kenoyer, Ṛveda, Śatapathabrāmana, Chāndogy Upaniṣad, Kaṇāda, Amarakoṣa, Nāgārjuna, Brahmagupta, Bhāskarācārya, Āryabhaṭa-I, Mādhavācārya, Lindeman, transcendental number
Thema-Inhalt
PB - Mathematik
PBX - Geschichte der Mathematik
PBW - Angewandte Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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