# Mathematical Achievements of Pre modern Indian Mathematicians

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- Author : T.K Puttaswamy
- Publisher : Newnes
- Release : 22 October 2012
- ISBN : 9780123979384
- Page : 758 pages
- Rating : 4.5/5 from 103 voters

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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

### Mathematical Achievements of Pre-modern Indian Mathematicians

- Author : T.K Puttaswamy
- Publisher : Newnes
- Release Date : 2012-10-22
- ISBN : 9780123979384

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

### A Passage to Infinity

- Author : George Gheverghese Joseph
- Publisher : SAGE Publications India
- Release Date : 2009-12-10
- ISBN : 9788132104810

This book traces the first faltering steps taken in the mathematical theorisation of infinity which marks the emergence of modern mathematics. It analyses the part played by Indian mathematicians through the Kerala conduit, which is an important but neglected part of the history of mathematics. Passage to Infinity: Medieval Indian Mathematics from Kerala and its Impact begins with an examination of the social origins of the Kerala School and proceeds to discuss its mathematical genesis as well as its achievements.

### Studies in Indian Mathematics and Astronomy

- Author : Aditya Kolachana,K. Mahesh,K. Ramasubramanian
- Publisher : Springer
- Release Date : 2019-05-29
- ISBN : 9789811373268

This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important

### Līlāvatī of Bhāskarācārya

- Author : Bhāskarācārya
- Publisher : Motilal Banarsidass Publ.
- Release Date : 2001
- ISBN : 8120814207

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

### The Mathematics of India

- Author : P. P. Divakaran
- Publisher : Springer
- Release Date : 2018-09-19
- ISBN : 9789811317743

This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal

### Contributions to Statistics

- Author : P. C. Mahalanobis
- Publisher : Elsevier
- Release Date : 2014-05-12
- ISBN : 9781483282800

Contributions to Statistics focuses on the processes, methodologies, and approaches involved in statistics. The book is presented to Professor P. C. Mahalanobis on the occasion of his 70th birthday. The selection first offers information on the recovery of ancillary information and combinatorial properties of partially balanced designs and association schemes. Discussions focus on combinatorial applications of the algebra of association matrices, sample size analogy, association matrices and the algebra of association schemes, and conceptual statistical experiments. The book then examines

### The Cambridge History of Science: Volume 1, Ancient Science

- Author : Alexander Jones,Liba Taub
- Publisher : Cambridge University Press
- Release Date : 2018-12-13
- ISBN : 9781108682626

This volume in the highly respected Cambridge History of Science series is devoted to the history of science, medicine and mathematics of the Old World in antiquity. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of ancient science currently available. Together, they reveal the diversity of goals, contexts, and accomplishments in the study of nature in Mesopotamia, Egypt, Greece, Rome, China, and India. Intended to provide a balanced and inclusive treatment

### Math Unlimited

- Author : R. Sujatha,H. N. Ramaswamy,C. S. Yogananda
- Publisher : CRC Press
- Release Date : 2011-11-11
- ISBN : 9781439876336

This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology.

### Harmonic Analysis on Semisimple Lie Groups

- Author : Harish-Chandra
- Publisher : Unknown
- Release Date : 1969
- ISBN : STANFORD:36105016304979

### Tantrasaṅgraha of Nīlakaṇṭha Somayājī

- Author : K. Ramasubramanian,M. S. Sriram
- Publisher : Springer Science & Business Media
- Release Date : 2011-06-16
- ISBN : 9780857290366

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

### A Modern Introduction to Ancient Indian Mathematics

- Author : T. S. Bhanu Murthy
- Publisher : New Age International
- Release Date : 1993
- ISBN : 8122403719

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.

### Gaṇitānanda

- Author : K. Ramasubramanian
- Publisher : Springer Nature
- Release Date : 2019-11-08
- ISBN : 9789811312298

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

### The Man of Numbers

- Author : Keith Devlin
- Publisher : A&C Black
- Release Date : 2012-11-01
- ISBN : 9781408822487

In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.The young Italian, Leonardo of Pisa (better known today

### Let's Play Math

- Author : Denise Gaskins
- Publisher : Tabletop Academy Press
- Release Date : 2012-09-04
- ISBN : 9781892083241

### Derivative with a New Parameter

- Author : Abdon Atangana
- Publisher : Academic Press
- Release Date : 2015-09-18
- ISBN : 9780128038253

Derivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. The book starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then