Description

About The Book

Elements of the Differential Calculus by Sachin P. Hatkar is a lucid and concise introduction to fundamental topics in calculus, crafted specifically for undergraduate students. This book stands out for its clarity of language, minimalistic size, and focused content, offering a learner-friendly alternative to bulky traditional textbooks.

The author delves into essential concepts such as limits, continuity, derivatives, and mean value theorems, extending into topics like Taylor’s theorem, maxima and minima, tangents and normals, partial derivatives, and indeterminate forms. Each topic is presented with a solid theoretical foundation, accompanied by a wealth of solved examples that bridge theory with practical understanding.

Particularly valuable is the attention to frequently misunderstood concepts, such as the precise definition of a limit or the distinction between left-hand and right-hand derivatives. The book also includes discussions on hyperbolic functions, transformations, and derivative rules involving determinants and parametric equations, providing a comprehensive scope suitable for early university-level learners.

What makes this book a standout is its pedagogical approach. It does not overwhelm students but encourages conceptual clarity and step-by-step problem-solving. With supportive exercises and a logical flow of topics, it nurtures a strong mathematical intuition.

Dedicated to both students and educators, Elements of the Differential Calculus is not just a textbook—it is a reliable companion for those beginning their journey into calculus. It’s ideal for self-study, classroom use, and as a quick reference for core calculus concepts. Authored with genuine passion and pedagogical sensitivity, this book fills a significant gap in accessible, quality calculus education.

About The Author

Dr. Sachin P. Hatkar is an accomplished academician currently serving as an Associate Professor with over 20 years of teaching experience in Mathematics. He holds a Ph.D. and M.Phil. in the subject, and his scholarly pursuits span across diverse areas including Cosmology, Dark Energy, General Theory of Relativity, and Modified Theories of Gravitation. Dr. Hatkar has authored academic works such as Introduction to Linear Algebra and a Marathi poetry collection titled Tarang. His contributions to research are significant, with over 50 papers published in reputed journals and presentations in more than 35 national and international conferences. As a research supervisor, he has successfully guided one Ph.D. scholar and currently mentors three more. He has also completed a Major Research Project (MRP) funded by Swami Ramanand Teerth Marathwada University, where he served on the Board of Studies in Mathematics. Additionally, he contributes to social service as an NSS Program Officer and the district coordinator for NSS in Hingoli.