Indian Mathematics An Introduction

Author : Ashok Jhunjhunwala
Publisher : New Age International
Page : 128 pages
File Size : 46,9 Mb
Release : 1993
Category : Mathematics
ISBN : 8122405738

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Indian Mathematics, an Introduction by Ashok Jhunjhunwala Pdf

This Book Taps The Mathematical Traditions Of India For Some Simple And Elegant Methods Of Performing Arithmetic Calculations. There Are Techniques For Multiplication, Division, Squaring, Square-Rooting And Factorisation That, Once Mastered, Are Faster Than The Conventional Approaches Currently In Wide Use. Errors Arising Out Of Carelessness In Calculation Were Apparently A Problem Faced By Our Ancestors Too! They Devised An Amazingly Simple Technique To Catch Such Errors. These Techniques Are Presented In This Book In A Lucid Manner, With A Large Number Of Examples To Illustrate The Basic Ideas And Elaborate On Their Variations. The Use Of Sanskrit Terms Has Been Minimised. Most Of The Methods Described Are General And Work For All Numbers, Not Just For Special Cases. The Mixed-Number, Or Mishrank, Which Contains Both Positive And Negative Digits, Is Extremely Useful In Simplifying Calculations And Is Widely Used In This Book. The Reader Will Find That Ideas Such As These Can Be Effectively Grafted To The Conventional Methods.The Book Will Interest A Wide Audience. Students Will Benefit The Most, Since They Can Easily Make The Methods Of This Book Their Own. They Will Soon Find That Much Of Their Arithmetic Can Be Performed Orally. Adults Will Find It A Pleasure To Discover New And Elegant Ways Of Doing Things They Already Know. The Computer Enthusiast May Find Hidden In The Simple Methods Ideas To Speed-Up Machine Computation. Finally, The Mathematically-Inclined May Find Their Curiosity Sufficiently Aroused To Go Beyond This Book And Delve Deeper Into The Indian Mathematical Legacy.

Author : T. S. Bhanu Murthy
Publisher : New Age International
Page : 230 pages
File Size : 45,9 Mb
Release : 1993
Category : Hindu mathematics
ISBN : 8122403719

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A Modern Introduction to Ancient Indian Mathematics by T. S. Bhanu Murthy Pdf

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.

Author : George Gheverghese Joseph
Publisher : World Scientific
Page : 512 pages
File Size : 55,8 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9781786340634

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Indian Mathematics by George Gheverghese Joseph Pdf

Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

Author : B.S. Yadav,Man Mohan
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 41,7 Mb
Release : 2011-01-20
Category : Mathematics
ISBN : 9780817646950

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Ancient Indian Leaps into Mathematics by B.S. Yadav,Man Mohan Pdf

This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

Author : Gaurav Tekriwal
Publisher : Penguin Random House India Private Limited
Page : 135 pages
File Size : 44,6 Mb
Release : 2021-09-27
Category : Juvenile Nonfiction
ISBN : 9789354920844

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The Great Indian Mathematicians by Gaurav Tekriwal Pdf

India's mathematicians have made significant contributions over the last 5000 years. From the ever-popular Aryabhata, widely recognized for revolutionizing the number system and Shakuntala Devi, universally admired for her fast mental calculations to pioneers forgotten by time, like Baudhayana, who explained the Pythagoras' theorem nearly 3000 years ago, the figures included in this book are trailblazers in the world of mathematics. Fresh, accessible and inspiring, The Great Indian Mathematicians celebrates persistent mathematicians throughout Indian history. This book is an ideal introduction for the next generation of tenacious and curious maths wizards, and features a goldmine of tips and tricks, nuggets of surprise and much more!

Author : Alfred North Whitehead
Publisher : Courier Dover Publications
Page : 176 pages
File Size : 46,5 Mb
Release : 2017-05-04
Category : Mathematics
ISBN : 9780486821382

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An Introduction to Mathematics by Alfred North Whitehead Pdf

Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.

Author : George Rusby Kaye
Publisher : Unknown
Page : 128 pages
File Size : 51,5 Mb
Release : 2019
Category : Electronic
ISBN : 0243637535

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Indian Mathematics by George Rusby Kaye Pdf

Author : S. Balachandra Rao
Publisher : Universities Press
Page : 230 pages
File Size : 42,8 Mb
Release : 2000
Category : Hindu astronomy
ISBN : 8173712050

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Indian Astronomy by S. Balachandra Rao Pdf

Author : Aditya Kolachana,K. Mahesh,K. Ramasubramanian
Publisher : Springer
Page : 742 pages
File Size : 53,6 Mb
Release : 2019-05-29
Category : Mathematics
ISBN : 9789811373268

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Studies in Indian Mathematics and Astronomy by Aditya Kolachana,K. Mahesh,K. Ramasubramanian Pdf

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 articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.

Author : Kim Plofker
Publisher : Princeton University Press
Page : 360 pages
File Size : 52,5 Mb
Release : 2008-12-29
Category : Mathematics
ISBN : 1400834074

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Mathematics in India by Kim Plofker Pdf

Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

Author : MAHADEVAN, B.,BHAT, VINAYAK RAJAT,NAGENDRA PAVANA R.N.
Publisher : PHI Learning Pvt. Ltd.
Page : 448 pages
File Size : 50,5 Mb
Release : 2022-04-13
Category : Philosophy
ISBN : 9789391818210

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INTRODUCTION TO INDIAN KNOWLEDGE SYSTEM by MAHADEVAN, B.,BHAT, VINAYAK RAJAT,NAGENDRA PAVANA R.N. Pdf

This textbook is a culmination of multiple efforts of the authors to fill in the gap for offering a required course on Indian Knowledge System (IKS), recently mandated by AICTE. Moreover, the New Education Policy (NEP) has also provided a clear trajectory for imparting IKS in the higher education curriculum, necessitating a book of this kind in several higher education institutions in the country in the days to come. The book seeks to introduce the epistemology and ontology of IKS to the Engineering and Science students in a way they can relate, appreciate and explore further should there be a keen interest in the matter. After a brief section on the key concepts of IKS, the remaining part of the book traces IKS and brings out the applications. After a formal and concise introduction to IKS, the book provides certain foundational concepts applicable across all domains of Science and Engineering. These form the second part. The Science applications are laid out in Part 3, Engineering applications in Part 4 and other important topics in the final part of the book. The authors have rich expertise and background in both 'mainstream issues' and 'traditional knowledge' to present IKS in a contextually relevant fashion. They have delicately balanced the 'why' or 'how' of IKS and the 'what' of IKS. Although the book has been primarily developed for use by the Engineering institutions, the structure and the contents also address the requirement in other University systems (Liberal Arts, Medicine, Science and Management). This textbook incorporates several pedagogical features including a companion website https://www.phindia.com/ introduction_to_indian_knowledge_system that will make learning effective and enjoyable for the students. TARGET AUDIENCE Students at: • Engineering Institutes • Higher Education Institutes

Author : V. K . Balakrishnan
Publisher : Courier Corporation
Page : 260 pages
File Size : 49,7 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486140384

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Introductory Discrete Mathematics by V. K . Balakrishnan Pdf

This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Author : T. A. Sarasvati Amma
Publisher : Motilal Banarsidass Publ.
Page : 304 pages
File Size : 50,8 Mb
Release : 1999
Category : Geometry
ISBN : 8120813448

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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 : T.K Puttaswamy
Publisher : Newnes
Page : 768 pages
File Size : 45,5 Mb
Release : 2012-10-22
Category : Mathematics
ISBN : 9780123979384

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Mathematical Achievements of Pre-modern Indian Mathematicians by T.K Puttaswamy Pdf

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

Author : Marek Capinski,Tomasz Zastawniak
Publisher : Springer
Page : 317 pages
File Size : 47,6 Mb
Release : 2006-04-18
Category : Business & Economics
ISBN : 9781852338466

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Mathematics for Finance by Marek Capinski,Tomasz Zastawniak Pdf

This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.