東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Zero and Pi = symbols of mathematical spirit /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Zero and Pi/ by Amalkumar Mukhopadhyay, Siddheshwar Rameshwar Bhatt.
其他題名:	symbols of mathematical spirit /
作者:	Mukhopadhyay, Amalkumar.
其他作者:	Bhatt, Siddheshwar Rameshwar.
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	xxi, 221 p. :ill., digital ;24 cm.
內容註:	Introduction -- Evolution of the Concept and Symbol of Śunya -- The Symbol O of Monism to Atheists, A Dot for Zero -- Gupta Period: A Turn in the History of Śūnya -- Śūnya: Brahmagupta and Bhāskarācārya's Thought -- Ramification of the Indian Concept of Void/Sūnya -- Introduction -- The Descriptive Geometrical stages -- Identification of π Analytically -- Contextual Topics on Mathematics (A looking back to the old days) -- Historical Retrospect.
Contained By:	Springer Nature eBook
標題:	Mathematics - History. -
電子資源:	https://doi.org/10.1007/978-981-99-3072-2
ISBN:	9789819930722

Zero and Pi = symbols of mathematical spirit /
Mukhopadhyay, Amalkumar.

Zero and Pisymbols of mathematical spirit /[electronic resource] :by Amalkumar Mukhopadhyay, Siddheshwar Rameshwar Bhatt. - Singapore :Springer Nature Singapore :2024. - xxi, 221 p. :ill., digital ;24 cm.

Introduction -- Evolution of the Concept and Symbol of Śunya -- The Symbol O of Monism to Atheists, A Dot for Zero -- Gupta Period: A Turn in the History of Śūnya -- Śūnya: Brahmagupta and Bhāskarācārya's Thought -- Ramification of the Indian Concept of Void/Sūnya -- Introduction -- The Descriptive Geometrical stages -- Identification of π Analytically -- Contextual Topics on Mathematics (A looking back to the old days) -- Historical Retrospect.

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.

ISBN: 9789819930722

Standard No.: 10.1007/978-981-99-3072-2doiSubjects--Topical Terms:

523931
Mathematics
--History.

LC Class. No.: QA21

Dewey Class. No.: 510.9

Zero and Pi = symbols of mathematical spirit /
LDR:03638nmm a22003255a 4500 001 2370621
003 DE-He213
005 20240330115741.0
006 m d
007 cr nn 008maaau
008 241127s2024 si s 0 eng d
020 $a 9789819930722 $q (electronic bk.)
020 $a 9789819930715 $q (paper)
024 7 $a 10.1007/978-981-99-3072-2 $2 doi
035 $a 978-981-99-3072-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA21
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 510.9 $2 23
090 $a QA21 $b .M953 2024
100 1 $a Mukhopadhyay, Amalkumar. $3 3716108
245 1 0 $a Zero and Pi $h [electronic resource] : $b symbols of mathematical spirit / $c by Amalkumar Mukhopadhyay, Siddheshwar Rameshwar Bhatt.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
300 $a xxi, 221 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Evolution of the Concept and Symbol of Śunya -- The Symbol O of Monism to Atheists, A Dot for Zero -- Gupta Period: A Turn in the History of Śūnya -- Śūnya: Brahmagupta and Bhāskarācārya's Thought -- Ramification of the Indian Concept of Void/Sūnya -- Introduction -- The Descriptive Geometrical stages -- Identification of π Analytically -- Contextual Topics on Mathematics (A looking back to the old days) -- Historical Retrospect.
520 $a 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.
650 0 $a Mathematics $x History. $3 523931
650 0 $a Zero (The number) $3 718479
650 0 $a Pi. $3 523917
650 1 4 $a General Mathematics. $3 3602211
650 2 4 $a History of Mathematical Sciences. $3 1530523
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Bhatt, Siddheshwar Rameshwar. $3 3338466
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-99-3072-2
950 $a Mathematics and Statistics (SpringerNature-11649)