{"product_id":"ganitasarakaumudi-moonlight-of-essence-of-mathematics-by-thakkura-pheru-nam904","title":"Ganitasarakaumudi The Moonlight of the Essence of Mathematics by Thakkura Pheru","description":"\u003ch2 class=\"title is-size-3-desktop is-size-5-touch has-text-centered product-details-description-title\"\u003eBook Specification\u003c\/h2\u003e\u003ctable\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eItem Code:\u003c\/td\u003e \u003ctd\u003eNAM904\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eAuthor:\u003c\/td\u003e \u003ctd\u003e\u003ca href=\"\/it\/book-author\/sakhya\" class=\"underlined\" title=\"Sakhya\"\u003eSakhya\u003c\/a\u003e\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003ePublisher:\u003c\/td\u003e \u003ctd\u003e\u003ca href=\"\/it\/book-publisher\/manohar%20publishers%20and%20distributors\" class=\"underlined\" title=\"Manohar Publishers and Distributors\"\u003eManohar Publishers and Distributors\u003c\/a\u003e\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eLanguage:\u003c\/td\u003e \u003ctd\u003eEnglish\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eEdition:\u003c\/td\u003e \u003ctd\u003e2009\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eISBN:\u003c\/td\u003e \u003ctd\u003e9788173048098\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003ePages:\u003c\/td\u003e \u003ctd\u003e325\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eCover:\u003c\/td\u003e \u003ctd\u003eHardcover\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eOther Details\u003c\/td\u003e \u003ctd rel=\"product-dimensions\"\u003e11.5 inch X 9.0 inch\u003c\/td\u003e \u003c\/tr\u003e \u003ctr\u003e \u003ctd class=\"product-details-specifications-label has-text-grey-dark\"\u003eWeight\u003c\/td\u003e \u003ctd rel=\"product-weight\"\u003e1.10 kg\u003c\/td\u003e \u003c\/tr\u003e \u003c\/table\u003e\u003cbr\u003e\u003ch2 class=\"title is-size-3-desktop is-size-5-touch has-text-centered product-details-description-title\"\u003eBook Description\u003c\/h2\u003e\u003cdiv class=\"product-details-description\" style=\"max-height: 63rem; overflow-y: auto;\"\u003e\n\u003ccenter\u003e\u003cb\u003eAbout the Book\u003c\/b\u003e\u003c\/center\u003e\n\u003cp\u003e The Ganitasarakaumudi was composed in the early fourteenth century at Delhi by the Jain Polymath thakkura Pheru who held a high position at the treasury of Ala al din Khalji, and contributed to the popularization of Science by producing six treatises in Apabhramsa verse on diverse scientific subjects.\u003c\/p\u003e\n\u003cp\u003e The Ganitasarakaumudi extends the range of mathematics far beyond the traditional framework. The first three chapters are structured like the earlier Mathematical texts in Sanskrit and treat traditional topic like fundamental operations, fractions, series, proportion, plane and solid geometry and so on. The remaining two chapters contain supplementary material derived from diverse areas of contemporary life where numbers play a role such as mathematical riddles, conversion of dates from Vikrama era to Hijri era, magic squares, and most remarkably average yield per bigha of several kinds of grains and pulses – topics that were not touched upon in any mathematical text before.\u003c\/p\u003e\n\u003cp\u003e The present volume offers, besides an introduction, a critically emended text, an English Translation, and a detailed mathematical commentary where efforts were made to interpret Pheru’s formulas and algorithms in modern notation. There are several appendices including a comprehensive glossary index.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ccenter\u003e\u003cb\u003ePreface \u003c\/b\u003e\u003c\/center\u003e\n\u003cp\u003e Of the few scholars working on Sanskrit texts on astronomy and mathematics today, the largest group is concentrated in Japan in the ancient city of Kyoto. This group has the admirable habit of meeting once a week to study an original text. One of the valuable fruits of this joint study is the Studies in Indian Mathematics: Series, Pi and Trigonometry (Tokyo, 1997), which was awarded the Publication Prize by the Mathematical Society of Japan in 2005. \u003c\/p\u003e\n\u003cp\u003e When I spent a semester at Kyoto University as Visiting Professor of Indian Science in 2002, I was invited to join the group, then consisting of Professors Michio Yano, Takao Hayashi and Takanori Kusuba. I had met Professor Yano for the first time in 1976 during the International Symposium on Aryabhata in New Delhi; since then we have been meeting often in India and elsewhere. Professor Kusuba and I were together at Brown University in the academic year 1992-93. I came to know Professor Hayashi in 1986 through his marvellous PhD thesis on the Bakhshali Manuscript. \u003c\/p\u003e\n\u003cp\u003e For our weekly meetings, we chose the Ganitasara-kaumudi of Thakkura Pheru who held a high position in the treasury of Ala' aI-Din Khalji at Delhi. This work is not only the first mathematical work to be composed in Middle Indic, but it also extends the range of mathematics beyond the traditional frame- work. In those six months, we translated the text and drafted a mathematical commentary. It took, however, some time to prepare our work for publication, as all of us were busy with various academic and administrative duties in the intervening years. The work is now complete, thanks to the diligent efforts of Professor Hayashi who acted as the editor of the team, put together our individual inputs and prepared the press copy in LATEX. It is also he who suggested the name for our group. \u003c\/p\u003e\n\u003cp\u003e The group name SaKHYa emphasizes the warm bond of friendship that developed among us during the past several years through the common interest in the history of science; it has an additional significance as well, for it was generated mathematically by the permutation of the initial letters of our names. Permutation and combination have been important elements in Indian mathematics; they also played a significant role in systems of classification in other sustras, Indeed, they were employed, for the very first time - in the classification of poetic metres - by Pingala Naga in his Chandahsutra, where he taught, among others, how to arrange the permutations in a tabular form called prastura. The initial letters of our four names produce a set of permutations (caturaksara-prastara) consisting of 24 terms. From the fourteenth term of this series is derived the group name SaKHYa. \u003c\/p\u003e\n\u003cp\u003e SaKHYa is now pleased to offer to the historians of mathematics this edition, translation, mathematical commentary, and a detailed glossary-index of Thakkura Pheru's Ganitasara-kaumudi, 'The Moonlight of the Essence of Mathematics,' also known as Ganitasara, 'The Essence of Mathematics.' \u003c\/p\u003e\n\u003cp\u003e As we complete this joint venture, we recall the memory of those scholars who inspired us in this task in various ways. Sri Bhanwar Lal Nahata of Kolkata discovered the writings of Thakkura Pheru in a single manuscript copy and published them in collaboration with Sri Agar Chand Nahata. When I brought out Thakkura Pheru's Rayanaparikkha with an English translation and commentary in 1984, Bhanwar Lal-ji sent me a warm letter of appreciation, which I greatly cherish, and shared with me his own notes on Pheru's other writings. The link between Bhanwar Lalji and me was Sri Hazari Mull Banthia of Kanpur from whom I learnt much about contemporary Jainism. \u003c\/p\u003e\n\u003cp\u003e We also remember fondly our mentor and friend Professor David Pingree; the four of us had the privilege of spending some time with him at Brown University; it is his monumental Census of the Exact Sciences in Sanskrit which first introduced us to Thakkura Pheru's scientific writings. We dedicate our book to the memory of Professor David Pingree. \u003c\/p\u003e\n\u003cp\u003e We are highly indebted to Professor Irfan Habib who took a keen interest in our work and very kindly translated for us relevant passages from lndo-Persian sources, especially from the Dostur al-Albab fi ilm al-Hisab by Hajji Abd al- Hamid Muharrir Ghaznavi. \u003c\/p\u003e\n\u003cp\u003e Our sincere thanks are due to Mr Ramesh Jain of the Manohar Publishers \u0026amp; Distributors for agreeing to bring out this work; he and his staff deserve all praise for the fine production of the volume. Thakkura Pheru composed the Ganitasura-kaumudi in Delhi; we are happy that our study of this work also is being published from Delhi. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904a.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904b.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904c.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904d.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cb\u003eContents\u003c\/b\u003e\u003c\/center\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ctable width=\"100%\"\u003e \u003ctr\u003e\n\u003ctd width=\"25%\"\u003e\u003c\/td\u003e\n\u003ctd width=\"65%\"\u003eAbbreviations\u003c\/td\u003e\n\u003ctd width=\"105\"\u003evi\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003ePreface\u003c\/td\u003e\n\u003ctd\u003evii\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003cb\u003ePart I\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e\u003cb\u003e Introduction\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eSection 1\u003c\/td\u003e\n\u003ctd\u003ethakkura Pheru: Life and Works\u003c\/td\u003e\n\u003ctd\u003exi\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eSection2\u003c\/td\u003e\n\u003ctd\u003eMathematics of the Ganitasarakaumudi\u003c\/td\u003e\n\u003ctd\u003exviii\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003cb\u003ePart II\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e\u003cb\u003e Text\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 0\u003c\/td\u003e\n\u003ctd\u003eIntroduction\u003c\/td\u003e\n\u003ctd\u003e3\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter1\u003c\/td\u003e\n\u003ctd\u003ePrathamo 'Dhyayah\u003c\/td\u003e\n\u003ctd\u003e9\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 2\u003c\/td\u003e\n\u003ctd\u003eDvitiyo'dhyayah\u003c\/td\u003e\n\u003ctd\u003e17\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 3\u003c\/td\u003e\n\u003ctd\u003eTrtiyo 'Dhyayah\u003c\/td\u003e\n\u003ctd\u003e19\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 4\u003c\/td\u003e\n\u003ctd\u003eCaturtho 'Dhyayah\u003c\/td\u003e\n\u003ctd\u003e27\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 5\u003c\/td\u003e\n\u003ctd\u003ePancamo 'Dhyayah\u003c\/td\u003e\n\u003ctd\u003e35\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 6\u003c\/td\u003e\n\u003ctd\u003eSutranukramanika\u003c\/td\u003e\n\u003ctd\u003e39\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003cb\u003ePart III\u003cb\u003e\u003c\/b\u003e\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e \u003cb\u003eEnglish Translation\u003c\/b\u003e\n\u003c\/td\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 1\u003c\/td\u003e\n\u003ctd\u003eTwenty-five Fundamental Operations\u003c\/td\u003e\n\u003ctd\u003e45\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 2\u003c\/td\u003e\n\u003ctd\u003eEight Classes of Reduction of Fractionsq\u003c\/td\u003e\n\u003ctd\u003e57\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 3\u003c\/td\u003e\n\u003ctd\u003eEight Types of Procedures\u003c\/td\u003e\n\u003ctd\u003e61\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 4\u003c\/td\u003e\n\u003ctd\u003eFour Special Topics\u003c\/td\u003e\n\u003ctd\u003e75\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 5\u003c\/td\u003e\n\u003ctd\u003eQuintet of Topic\u003c\/td\u003e\n\u003ctd\u003e85\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 6\u003c\/td\u003e\n\u003ctd\u003eList of rules\u003c\/td\u003e\n\u003ctd\u003e91\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003cb\u003ePart IV\u003c\/b\u003e\u003c\/td\u003e\n\u003ctd\u003e\n\u003cb\u003e Mathematical \u003c\/b\u003e \u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eChapter 1\u003c\/td\u003e\n\u003ctd\u003eTwenty -five Fundamental Operations\u003c\/td\u003e\n\u003ctd\u003e97\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 2\u003c\/td\u003e\n\u003ctd\u003eEight Classes of Reduction on Fractions\u003c\/td\u003e\n\u003ctd\u003e125\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 3\u003c\/td\u003e\n\u003ctd\u003eEight Types of Procedures\u003c\/td\u003e\n\u003ctd\u003e133\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 4\u003c\/td\u003e\n\u003ctd\u003eFour Special Topics\u003c\/td\u003e\n\u003ctd\u003e163\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eChapter 5\u003c\/td\u003e\n\u003ctd\u003eQuintet of Topic\u003c\/td\u003e\n\u003ctd\u003e183\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003eAppendices\u003c\/td\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eA\u003c\/td\u003e\n\u003ctd\u003eConcordance of the Ganitasarakaumudi and Other Works\u003c\/td\u003e\n\u003ctd\u003e195\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eB\u003c\/td\u003e\n\u003ctd\u003eThe Type Problems\u003c\/td\u003e\n\u003ctd\u003e207\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eC\u003c\/td\u003e\n\u003ctd\u003eIndex to the Number in the Text\u003c\/td\u003e\n\u003ctd\u003e215\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003eD\u003c\/td\u003e\n\u003ctd\u003eGlossary Index to the Text\u003c\/td\u003e\n\u003ctd\u003e223\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003eBibliography\u003c\/td\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003eIndex of Mathematical Terms\u003c\/td\u003e\n\u003ctd\u003e267\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003eIndex of Things in the Text\u003c\/td\u003e\n\u003ctd\u003e273\u003c\/td\u003e\n\u003c\/tr\u003e \u003ctr\u003e\n\u003ctd\u003e\u003c\/td\u003e\n\u003ctd\u003eIndex of Sanskrit\/Prakrit authors and titles\u003c\/td\u003e\n\u003ctd\u003e277\u003c\/td\u003e\n\u003c\/tr\u003e \u003c\/table\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904e.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904f.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904g.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904h.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904i.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904j.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904k.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904l.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904m.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904n.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904o.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e \u003ccenter\u003e\u003cimg src=\"https:\/\/cdn.exoticindia.com\/images\/products\/original\/books-2016\/nam904p.jpg\"\u003e\u003c\/center\u003e\n\u003cbr\u003e\n\u003c\/div\u003e","brand":"Occultnthings","offers":[{"title":"Default Title","offer_id":44613049450797,"sku":"NAM904","price":59.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2094\/2117\/products\/nam904.jpg?v=1677706639","url":"https:\/\/occultnthings.com\/it\/products\/ganitasarakaumudi-moonlight-of-essence-of-mathematics-by-thakkura-pheru-nam904","provider":"Occult-N-Things","version":"1.0","type":"link"}