Singh J. Vector Calculus. A Concept-Based Guide...2025

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Singh J. Vector Calculus. A Concept-Based Guide...2025

Textbook in PDF format Vector Calculus: A Comprehensive Guide with Solved Examples & Chapter-Wise MCQs — For University Courses, Competitive Exams, and Ph.D. Entrances. This book offers a complete, concept-driven approach to Vector Calculus, tailored for students preparing for B.Sc., M.Sc., and Ph.D. entrance examinations in mathematics. Designed with clarity and rigor, the book aligns with both Indian and international university curricula and is enriched with multiple-choice questions (MCQs) for competitive exam practice. Key Features: University-Aligned Curriculum: Covers full syllabi of UOK, MSBU, RRBMU, UOR, and other Indian and international universities. Ph.D. Entrance Exam Ready: Includes higher-level problem sets and chapter-wise MCQs suitable for exams like CSIR-NET, GATE, IIT-JAM, NBHM, CUET-PG/Ph.D., and other national and international doctoral entrance tests. Chapter-Wise Solved MCQs: Practice and review with topic-specific MCQs based on theoretical understanding and applications. Conceptual Clarity: Detailed explanations with step-by-step solutions make complex ideas easy to grasp. Aligned with NEP 2020: Follows the National Education Policy for undergraduate and postgraduate studies. Globally Relevant Content: Useful for science and engineering streams across international curricula. Self-Study Friendly: Designed for both independent learners and classroom instruction. Topics Covered Include: Vector differentiation and integration. Gradient, divergence, and curl — definitions, geometric interpretation, and physical significance. Directional derivatives and vector functions. Tangent planes and normal lines to surfaces. Line integrals and surface integrals. Vector identities involving grad, div, and curl. Gauss’s, Green’s, and Stokes’ Theorems (applications included, proofs excluded as per syllabus)