This book provides a comprehensive introduction to the mathematical foundations most relevant to chemistry students at the undergraduate level. It is designed to bridge the gap between abstract mathematical methods (studied at the school level as math) and their concrete applications in physical, quantum, and statistical chemistry. The text begins with a review of essential mathematical concepts and gradually develops key areas such as calculus, linear algebra, matrices, determinants, eigenvalues and eigenvectors, quadratic forms, probability theory, random variables, and probability distributions. These topics are integrated with chemical applications, including molecular spectroscopy, thermodynamics, kinetics, molecular orbital theory, and statistical mechanics.

Pedagogically, the book is distinctive in its use of multiple learning features: worked examples with step-by-step solutions, definition and tip boxes, chemistry application highlights, historical notes, and carefully designed end-of-chapter problems. These elements ensure accessibility for students who may not have a strong mathematical background while still providing sufficient rigor for chemistry majors.

What makes the book unique is its exclusive focus on the needs of chemistry students, rather than treating mathematics in a general or purely theoretical way. Unlike standard mathematical texts, it directly connects each mathematical concept with chemical problems and experimental contexts. It also aligns undergraduate syllabi which increasingly emphasize the integration of mathematical methods into chemistry education.

Rita Kakkar, PhD, retired as Senior Professor and Head of the Department of Chemistry at the University of Delhi after a distinguished 37-year career where she taught various subjects in Physical Chemistry. Additionally Dr. Kakkar She also served as Dean of the Faculty of Science at the university. She is the author of a well-received book on Atomic and Molecular Spectroscopy, published by Cambridge University Press. The book has gained international recognition, has been translated into several foreign languages, and is praised for its simple, concise language and engaging narrative style, often likened to a storybook. Professor Kakkar has published over 200 research papers in the field of Computational Chemistry and has successfully supervised 50 doctoral theses.