Gaṇitānanda

Author : K. Ramasubramanian
Publisher : Springer Nature
Page : 639 pages
File Size : 47,5 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9789811312298

Get Book

Gaṇitānanda by K. Ramasubramanian Pdf

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.

Author : Anonim
Publisher : Unknown
Page : 332 pages
File Size : 41,6 Mb
Release : 2004
Category : India
ISBN : UCAL:B5177568

Get Book

Journal of the Ananthacharya Indological Research Institute by Anonim Pdf

Author : Surender K Jain,S G Dani
Publisher : World Scientific
Page : 247 pages
File Size : 50,6 Mb
Release : 2022-07-26
Category : Mathematics
ISBN : 9789811255519

Get Book

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 : Anonim
Publisher : BRILL
Page : 787 pages
File Size : 51,9 Mb
Release : 2024-03-11
Category : Philosophy
ISBN : 9789004691568

Get Book

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 : Partha Pratim Ray
Publisher : Rajmangal Prakashan
Page : 685 pages
File Size : 47,6 Mb
Release : 2023-12-20
Category : Architecture
ISBN : 8210379456XXX

Get Book

The Great Mathematicians of Bharat by Partha Pratim Ray Pdf

"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.

Author : Alberto Cogliati
Publisher : Academic Press
Page : 304 pages
File Size : 48,6 Mb
Release : 2017-10-31
Category : Mathematics
ISBN : 9780128142745

Get Book

Writing Small Omegas by Alberto Cogliati Pdf

Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups. Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups Reviews Cartan’s revolutionary contributions to Lie group theory and differential geometry Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras

Author : Bhāskarācārya
Publisher : Motilal Banarsidass Publ.
Page : 240 pages
File Size : 47,8 Mb
Release : 2001
Category : Mathematics
ISBN : 8120814207

Get Book

Līlāvatī of Bhāskarācārya by Bhāskarācārya Pdf

In 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics.

Author : Venketeswara Pai,K. Ramasubramanian,M.S. Sriram,M.D. Srinivas
Publisher : Springer
Page : 450 pages
File Size : 43,5 Mb
Release : 2018-03-14
Category : Mathematics
ISBN : 9789811068140

Get Book

Karaṇapaddhati of Putumana Somayājī by Venketeswara Pai,K. Ramasubramanian,M.S. Sriram,M.D. Srinivas Pdf

This book is an important text of the Kerala school of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals, and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karaṇapaddhati, however, is not a karaṇa text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karaṇa text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karaṇapaddhati presents the theoretical basis for the vākya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khaṇḍa, maṇḍala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of vākyas or mnemonic phrases. The text also discusses the method of vallyupasaṃhāra, which is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for π which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vākya system and the computational procedures used in the karaṇa texts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.

Author : K. Ramasubramanian,M. S. Sriram
Publisher : Springer Science & Business Media
Page : 598 pages
File Size : 55,5 Mb
Release : 2011-06-16
Category : Mathematics
ISBN : 9780857290366

Get Book

Tantrasaṅgraha of Nīlakaṇṭha Somayājī by K. Ramasubramanian,M. S. Sriram Pdf

Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.

Author : Takao Hayashi,George Rusby Kaye
Publisher : Groningen Oriental Studies
Page : 608 pages
File Size : 42,7 Mb
Release : 1995
Category : History
ISBN : MINN:31951D014418636

Get Book

The Bakhshālī Manuscript by Takao Hayashi,George Rusby Kaye Pdf

This volume offers a fresh translation of the Bakhshālī Manuscript. It presents the first English translation of the whole text based on a systematic study of linguistic peculiarities, and a mathematical commentary based on a comparative study of the Bakhshālī work and other Sanskrit mathematical texts.

Author : T. A. Sarasvati Amma
Publisher : Motilal Banarsidass Publ.
Page : 304 pages
File Size : 44,5 Mb
Release : 1999
Category : Geometry
ISBN : 8120813448

Get Book

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 : Anonim
Publisher : World Scientific
Page : 814 pages
File Size : 52,7 Mb
Release : 2011
Category : Electronic
ISBN : 9789814324359

Get Book

Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures by Anonim Pdf

Author : David M. Burton
Publisher : WCB/McGraw-Hill
Page : 712 pages
File Size : 55,6 Mb
Release : 1991
Category : Mathematics
ISBN : UVA:X004291911

Get Book

The History of Mathematics by David M. Burton Pdf

This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.

Author : M. S. Sriram,K. Ramasubramanian,M. D. Srinivas
Publisher : Unknown
Page : 210 pages
File Size : 41,8 Mb
Release : 2002
Category : Hindu astronomy
ISBN : CHI:63221587

Get Book

500 Years of Tantrasangraha by M. S. Sriram,K. Ramasubramanian,M. D. Srinivas Pdf

`Tantrasangraha` By The Renowned Kerala Astronomer Nilakantha Somayaji (C. 1444-1545 Ad) Ranks Along With `Aryabhatiya` Of Aryabhata And Siddhantasiromani (C. 1150 Ad) Of Bhaskaracharya As One Of The Major Works Which Significantly Influenced All Further Work On Astronomy In India.

Author : David Pingree
Publisher : American Philosophical Society
Page : 230 pages
File Size : 47,6 Mb
Release : 1970
Category : Sanskrit language
ISBN : 0871690810

Get Book

Census of the Exact Sciences in Sanskrit (Series A, Vol. 1 & 2) by David Pingree Pdf