Saraswati Mathematics
Saraswati Mathematics

Author: Kusum Wadhwa and Anju Loomba

Publisher: New Saraswati House India Pvt Ltd

Published:

Total Pages: 401

ISBN-13: 9350411539

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A Text book on maths

WHO ARE WE?
WHO ARE WE?

Author: Kalim Ullah Kabir

Publisher: Notion Press

Published: 2024-01-02

Total Pages: 229

ISBN-13:

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This stunning book will take us through an intellectual journey of "Human" and "Religion". "Bharat" has a rich history, unfortunately Bharat history was written under the influence of westerns. A must read for all. Quran and Bible from the incident of Prophet "Noah" justify yug systems of Sanatan. "God" is one but called by different names. "Vedas" was send by God lakhs of years ago. God send 124000 messengers across world to eradicate evils and establish humanity. The path of different religions are different but destination is one. "Islam" was in its height during first four centuries. Latter different kings high jacked the religion and experimented it to expand territories. These days few Bhartiye Muslims have gone astray, so Allah has withdrawn his blessing which accounts for pains, struggles and humiliations. After independence Muslims has been used as a tool kit by political parties. 99.9% people living in Bharat have a common "DNA", then why to fight in the name of "Rights" and "Religion"? Fight for your "Duties". The main objective of writing this book is to bring the attentions of people towards this important topic "Who are we?

Geometry in Ancient and Medieval India
Geometry in Ancient and Medieval India

Author: T. A. Sarasvati Amma

Publisher: Motilal Banarsidass Publ.

Published: 1999

Total Pages: 304

ISBN-13: 9788120813441

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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.

Cultural Foundations of Mathematics
Cultural Foundations of Mathematics

Author: C. K. Raju

Publisher: Pearson Education India

Published: 2007

Total Pages: 536

ISBN-13: 9788131708712

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The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.