Calculus
The Princess of Mathematics Volume- 1
Four authors — including HC Verma — teach Calculus from first principles, restoring India's historic contributions to the field.
Overview
Calculus was not born in seventeenth-century Europe. More than a thousand years before Newton and Leibniz, Indian mathematicians applied its foundational ideas to the problem of planetary motion — a contribution that mainstream textbooks still largely pass over. D.P. Verma, H.C. Verma, Jyoti Panadiwal, and Kiran Verma open this volume with that historical claim, then spend the rest of it proving that Calculus, taught well, is one of the most beautiful things a mind can encounter.
The book does not follow any board syllabus or examination pattern — deliberately. The authors argue that syllabus-bound teaching is precisely what stops students from genuinely understanding Calculus rather than merely performing it. Instead, they build concepts from the ground up, with practice problems calibrated to develop real understanding. Two guest chapters by specialist contributors expand on the Indic contributions to the field. The result is a text that serves school students approaching Calculus for the first time, competitive exam aspirants preparing for JEE, JAM, or CUET, and anyone who wants to close the gap between being able to do Calculus and actually understanding what it is.
This is a serious book with affection for its subject — and for the reader who has not yet fallen for it.
ABOUT THE BOOK: Calculus is perhaps the most fascinating of the myriad branches of Mathematics. One of the reasons for this fascination is Calculus's very imaginative nature, and yet its very accurate analysis of seemingly unsolvable or undefined problems, culminating into understanding complex, real-world events. India can be rightfully proud of having contributed the very first applications of the idea of Calculus. This was in understanding planetary motions more than a thousand years before the advent of modern science. This book, Calculus: The Princess of Mathematics, focuses on retaining this beauty of Calculus even while helping readers arrive at a deep understanding of its concepts, with practice problems in tune with our typical school curriculum. We have been particularly conscious to ensure that this book develops in students a strong bonding with Calculus, which would help them handle problems that crop up in any discipline they take up as their profession. The two guest chapters penned by renowned experts included in this book further highlight the spectacular and fundamental Indian contributions to Calculus. This book is not written according to the syllabus of any board or any examination. Such boundaries inhibit the free flow of enjoyment of the subject. And yet, this book's organization and content is structured to ensure that students in schools/colleges studying Calculus for the first time, as also those students preparing for competitive examinations like JEE, JAM, CUET, etc., all get a good command over the concepts and procedures of Calculus.
