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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 karana 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. Karanapaddhati, however, is not a karana text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karana text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karanapaddhati presents the theoretical basis for the vakya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khanda, mandala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of vakyas or mnemonic phrases. The text also discusses the method of vallyupasamhara, 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 which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vakya system and the computational procedures used in the karana 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.
This book presents a set of conversations with five former Governors of Reserve Bank of India (from 1992 onwards) on the topic of financial inclusion. Two key aspects are introduced in the conversations with each Governor: the initiatives that were undertaken during their tenure and their responses to some of the current issues. Further, they examine the reasons and justifications for significant decisions and measures that were undertaken or withheld. The discussion captures the evolution and approach of the central bank in addressing a variety of questions pertaining to financial inclusion. The volume is an important contribution to the study of India's continuous but not entirely successful efforts in increasing the reach of its formal financial sector. It reconstructs how the policy approach to inclusive banking has progressed and resisted commercial and market imperatives to safeguard the deprived and dispossessed sections of society. With its wide-ranging blend of conversations, documentation, research and commentary coupled with its engaging style, the book will interest students and researchers in the areas of development, banking, macroeconomics, public administration and governance, as well as academics, analysts, policymakers, think tanks, journalists, media and those concerned with the Indian economic policy.
This book presents a set of conversations with five former Governors of Reserve Bank of India (from 1992 onwards) on the topic of financial inclusion. Two key aspects are introduced in the conversations with each Governor: the initiatives that were undertaken during their tenure and their responses to some of the current issues. Further, they examine the reasons and justifications for significant decisions and measures that were undertaken or withheld. The discussion captures the evolution and approach of the central bank in addressing a variety of questions pertaining to financial inclusion. The volume is an important contribution to the study of India's continuous but not entirely successful efforts in increasing the reach of its formal financial sector. It reconstructs how the policy approach to inclusive banking has progressed and resisted commercial and market imperatives to safeguard the deprived and dispossessed sections of society. With its wide-ranging blend of conversations, documentation, research and commentary coupled with its engaging style, the book will interest students and researchers in the areas of development, banking, macroeconomics, public administration and governance, as well as academics, analysts, policymakers, think tanks, journalists, media and those concerned with the Indian economic policy.
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 karana 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. Karanapaddhati, however, is not a karana text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karana text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karanapaddhati presents the theoretical basis for the vakya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khanda, mandala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of vakyas or mnemonic phrases. The text also discusses the method of vallyupasamhara, 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 which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vakya system and the computational procedures used in the karana 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.
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