Calculus
The Princess of Mathematics Volume- 2
India's calculus heritage meets rigorous modern pedagogy, built for JEE aspirants and genuine learners alike.
Overview
India's engagement with calculus predates Newton and Leibniz by over a thousand years — the Kerala School was computing planetary motions using ideas of infinite series that would not be formalised in Europe until the seventeenth century. This volume takes that lineage seriously, treating calculus not as a foreign import but as a discipline with deep roots in Indian mathematical tradition. Two guest chapters by recognised experts document these contributions with the rigour they deserve.
The authors — among them H.C. Verma, whose physics texts have guided generations of students — write with the same pedagogical clarity that made those books indispensable. Concepts are built from intuition before formalism, practice problems are calibrated to what students actually encounter, and the organisation serves learning rather than any fixed syllabus. Students preparing for JEE, JAM, or CUET will find the coverage thorough; those who simply want to understand calculus will find it honest.
The book does not ask you to choose between examination success and genuine understanding. It argues — and demonstrates — that the two are the same thing.
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.
