Mathematics for Chemists by Bhupender Singh is a comprehensive book designed to bridge the gap between mathematical concepts and their applications in chemistry. This book is an essential resource for undergraduate and postgraduate chemistry students, researchers, and professionals who require a strong foundation in mathematical techniques relevant to chemical sciences. Published by Pragati Prakashan, this book systematically covers key mathematical topics with clear explanations, practical examples, and problem-solving approaches tailored for chemists.
Key Features:
1. Structured Content: The book is divided into 23 well-organized chapters, each focusing on fundamental and advanced mathematical concepts applicable in chemistry.
2. Application-Oriented Approach: Emphasizes the practical use of mathematics in solving chemical problems, including quantum mechanics, thermodynamics, spectroscopy, and statistical analysis.
3. Step-by-Step Explanations: Provides detailed derivations, theorems, and proofs to enhance conceptual clarity.
4. Problem-Solving Focus: Includes numerous solved examples, exercises, and applications to reinforce learning.
5. Relevant for Competitive Exams: Useful for students preparing for CSIR-NET, GATE, IIT-JAM, and other competitive examinations in chemistry.
Chapter-Wise Coverage:
The book begins with vector algebra, covering multiple products of vectors, gradient, divergence, and curl, followed by integral theorems such as Green’s, Gauss, and Stokes theorems. It then progresses to linear algebra, discussing determinants, matrices, inverse matrices, linear equations, eigenvalues, and eigenvectors, which are crucial for quantum chemistry and molecular symmetry.
Further, it introduces vector spaces and tensors, essential for understanding crystallography and spectroscopy. The calculus section includes limits, continuity, differentiability, differential and partial differentiation, maxima-minima problems, and curve sketching, which are vital for chemical kinetics and thermodynamics.
Integration techniques, including reduction formulae and applications, are explained with chemical relevance. The differential equations section covers first-order and second-order differential equations, power series solutions, and their applications in chemical rate laws and quantum mechanics.
Finally, the book explores permutation and combination, probability, and curve fitting, which are fundamental for statistical thermodynamics and data analysis in chemistry.
Why Choose This Book?
1. Tailored for Chemists: Unlike generic mathematics books, this text focuses on topics directly applicable to chemical sciences.
2. Clear and Concise Language: Written in an easy-to-understand manner, making complex mathematical concepts accessible.
3. Academic and Competitive Exam Ready: Helps students build a strong mathematical foundation for both coursework and entrance exams.
4. Trusted Publisher: Pragati Prakashan is known for high-quality educational books, ensuring reliability and accuracy.
