Mathematics In Ancient Jaina Literature

Author : Surender K Jain,S G Dani
Publisher : World Scientific
Page : 247 pages
File Size : 55,5 Mb
Release : 2022-07-26
Category : Mathematics
ISBN : 9789811255519

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Mathematics In Ancient Jaina Literature by Surender K Jain,S G Dani Pdf

The volume contains selected articles presented in the ZOOM conference on History of Mathematics in Jain Literature, December 2020, and also contains articles invited by the editors on specific topics.The main objective for the conference was to bring to the attention of historians in mathematics that there is a plenty of literature written by monks and scholars in Jaina literature that contains elements of arithmetic, algebra and geometry, independent of discoveries by other cultures in the past. The talks and the discussions at the conference highlighted a need for a volume that can be recommended as a reference book for a course on History of Mathematics in the Departments of Mathematics and Education in colleges and universities. This is our hope that the present volume would fill up the gap on the lack of knowledge of past Jaina contributions.

Author : Bharath Sriraman
Publisher : Springer Nature
Page : 3221 pages
File Size : 40,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031408465

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Handbook of the History and Philosophy of Mathematical Practice by Bharath Sriraman Pdf

Author : B.S. Yadav,Man Mohan
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 44,5 Mb
Release : 2011-01-20
Category : Mathematics
ISBN : 9780817646950

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Ancient Indian Leaps into Mathematics by B.S. Yadav,Man Mohan Pdf

This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

Author : T. A. Sarasvati Amma
Publisher : Motilal Banarsidass Publ.
Page : 304 pages
File Size : 53,8 Mb
Release : 1999
Category : Geometry
ISBN : 8120813448

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Geometry in Ancient and Medieval India by T. A. Sarasvati Amma Pdf

This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.

Author : T.K Puttaswamy
Publisher : Newnes
Page : 768 pages
File Size : 42,9 Mb
Release : 2012-10-22
Category : Mathematics
ISBN : 9780123979384

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Mathematical Achievements of Pre-modern Indian Mathematicians by T.K Puttaswamy Pdf

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions Presents the various proofs step by step to help readers understand Uses modern, current notations and symbols to develop the calculations and proofs

Author : Anonim
Publisher : BRILL
Page : 787 pages
File Size : 54,8 Mb
Release : 2024-03-11
Category : Philosophy
ISBN : 9789004691568

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The Origin and Significance of Zero by Anonim Pdf

Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic and above all interdisciplinary research program. In this volume, over 40 international scholars explore zero under four broad themes: history; religion, philosophy & linguistics; arts; and mathematics & the sciences. Some propose that the invention/discovery of zero may have been facilitated by the prior evolution of a sophisticated concept of Nothingness or Emptiness (as it is understood in non-European traditions); and conversely, inhibited by the absence of, or aversion to, such a concept of Nothingness in the West. But not all scholars agree. Join the debate.

Author : Anonim
Publisher : Unknown
Page : 192 pages
File Size : 43,9 Mb
Release : 1983
Category : Mathematics
ISBN : UOM:39015060961326

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The Mathematics Education by Anonim Pdf

Author : T. S. Bhanu Murthy
Publisher : New Age International
Page : 230 pages
File Size : 50,8 Mb
Release : 1993
Category : Hindu mathematics
ISBN : 8122403719

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A Modern Introduction to Ancient Indian Mathematics by T. S. Bhanu Murthy Pdf

The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.

Author : George Gheverghese Joseph
Publisher : World Scientific
Page : 512 pages
File Size : 54,6 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9781786340634

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Indian Mathematics by George Gheverghese Joseph Pdf

Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

Author : Library of Congress
Publisher : Unknown
Page : 1698 pages
File Size : 42,8 Mb
Release : 2011
Category : Subject headings, Library of Congress
ISBN : UCBK:C098382830

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Library of Congress Subject Headings by Library of Congress Pdf

Author : Alessandra Petrocchi
Publisher : Routledge
Page : 491 pages
File Size : 44,5 Mb
Release : 2019-03-13
Category : History
ISBN : 9781351022248

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The Gaṇitatilaka and its Commentary by Alessandra Petrocchi Pdf

The Gaṇitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Gaṇitatilaka by Śrīpati and its Sanskrit commentary by the Jaina monk Siṃhatilakasūri (13th century CE). Siṃhatilakasūri’s commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.

Author : Laxmi Chandra Jain
Publisher : Unknown
Page : 88 pages
File Size : 49,8 Mb
Release : 1982
Category : Jainism and science
ISBN : UCAL:B4246916

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Basic Mathematics by Laxmi Chandra Jain Pdf

Author : B.R. THAKUR,HARI KISHAN,GAJENDRA UJJAINKAR
Publisher : Ram Prasad Publications(R.P.H.)
Page : 477 pages
File Size : 46,8 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 9788195625178

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ABSTARCT ALGEBRA & LINEAR ALGEBRA by B.R. THAKUR,HARI KISHAN,GAJENDRA UJJAINKAR Pdf

Unit-I 0. Historical Background .... 1-4 1. Groups and Their Basic Properties .... 1-65 2. Subgroups .... 66-80 3. Cyclic Groups .... 81-93 4. Coset Decomposition, Lagrange’s and Fermat’s Theorem .... 94-113 5. Normal Subgroups .... 114-125 6. Quotient Groups .... 126-131 Unit-II 7. Homomorphism and Isomorphism of Groups, Fundamental Theorem of Homomorphism .... 132-151 8. Transformation and Permutation Group Sn (n < 5), Cayley’s Theorem .... 152-186 9. Group Automorphism, Inner Automorphism, Group of Automorphisms .... 187-206 Unit-III 10. Definition and Basic Properties of Rings, Subrings .... 207-232 11. Ring Homomorphism, Ideals, Quotient Ring .... 233-259 12. Polynomial Ringh .... 260-296 13. Integral Domain .... 297-310 14. Field .... 311-330 Unit-IV 15. Definition and Examples of Vector Space, Subspaces, Sum and Direct sum of Subspaces, Linear Span, Linear Dependence, Linear Independence and Their basic Properties .... 331-360 16. Basis, Finite Dimensional Vector Space and Dimension (Existence Theorem, Extension Theorem, Inoriance of the number of Elements), DImension of sum of Subspaces, Quonient Space and It Dimension .... 361-380 Unit-V 17. Linear Transformation and Its Representation as a Matrix .... 381-403 18. Algebra of Linear transformations, Rank-Nullity Theorem, Change of basis, Dual Space, Bi-dual Space and Natural Isomorphism Adjoint of a Linear Transformation .... 404-438 19. Eigen-Values and Eigen-Vectors of a Linear Transformation, Diagonalization .... 439-472

Author : Disha Experts
Publisher : Disha Publications
Page : 128 pages
File Size : 40,5 Mb
Release : 2020-04-06
Category : Electronic
ISBN : 9789390511563

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Science & Technology for UPSC & State PSC Civil Services Prelim & Main Exams by Disha Experts Pdf

Author : Disha Experts
Publisher : Disha Publications
Page : 128 pages
File Size : 43,6 Mb
Release : 2020-04-06
Category : Electronic
ISBN : 8210379456XXX

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(Free Sample) Science & Technology for UPSC & State PSC Civil Services Prelim & Main Exams by Disha Experts Pdf