Lilawati: Or A Treatise on Arithmetic and Geometry
Lilawati: Or A Treatise on Arithmetic and Geometry

Author: Bhāskarācārya

Publisher:

Published: 1816

Total Pages: 242

ISBN-13:

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An important mathematician and astronomer in medieval India, Bhascara Acharya (1114-85) wrote treatises on arithmetic, algebra, geometry and astronomy. He is also believed to have been head of the astronomical observatory at Ujjain, which was the leading centre of mathematical sciences in India. Forming part of his Sanskrit magnum opus Siddhānta Shiromani, the present work is his treatise on arithmetic, including coverage of geometry. It was first published in English in 1816 after being translated by the East India Company surgeon John Taylor (d.1821). Used as a textbook in India for centuries, it provides the basic mathematics needed for astronomy. Topics covered include arithmetical terms, plane geometry, solid geometry and indeterminate equations. Of enduring interest in the history of mathematics, this work also contains Bhascara's pictorial proof of Pythagoras' theorem.

The Arithmetic of Infinitesimals
The Arithmetic of Infinitesimals

Author: John Wallis

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 226

ISBN-13: 1475743122

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John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.

The Mathematical Coloring Book
The Mathematical Coloring Book

Author: Alexander Soifer

Publisher: Springer Science & Business Media

Published: 2008-10-13

Total Pages: 619

ISBN-13: 0387746420

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This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.

Līlāvatī of Bhāskarācārya
Līlāvatī of Bhāskarācārya

Author: Bhāskarācārya

Publisher: Motilal Banarsidass Publ.

Published: 2001

Total Pages: 240

ISBN-13: 9788120814202

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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.

Fibonacci’s Liber Abaci
Fibonacci’s Liber Abaci

Author: Laurence Sigler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 736

ISBN-13: 1461300797

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First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.

Scientific Instruments between East and West
Scientific Instruments between East and West

Author:

Publisher: BRILL

Published: 2019-09-02

Total Pages: 301

ISBN-13: 9004412840

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Scientific Instruments between East and West is a collection of essays on aspects of the transmission of knowledge about scientific instruments and the trade in such instruments between the Eastern and Western worlds, particularly from Europe to the Ottoman Empire. The contributors, from a variety of countries, draw on original Arabic and Ottoman Turkish manuscripts and other archival sources and publications dating from the fifteenth to the twentieth centuries not previously studied for their relevance to the history of scientific instruments. This little-studied topic in the history of science was the subject of the 35th Scientific Instrument Symposium held in Istanbul in September 2016, where the original versions of these essays were delivered. Contributors are Mahdi Abdeljaouad, Pierre Ageron, Hamid Bohloul, Patrice Bret, Gaye Danışan, Feza Günergun, Meltem Kocaman, Richard L. Kremer, Janet Laidla, Panagiotis Lazos, David Pantalony, Atilla Polat, Bernd Scholze, Konstantinos Skordoulis, Seyyed Hadi Tabatabaei, Anthony Turner, Hasan Umut, and George Vlahakis. See inside the book here.

Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

Author: Gerd Faltings

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 118

ISBN-13: 1400882478

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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.