Free Download Vector Calculus: A Concept-Based Guide to Vector Differentiation, Integration, and Theorems - NEP-Aligned and Suitable for B.Sc./M.Sc. Students Across Indian and Global Universities
English | July 14, 2025 | ASIN: B0FHK3V9PL | 251 pages | PDF | 6.14 MB
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) Whether you're studying for university exams, preparing for Ph.D. entrance tests , or teaching advanced vector calculus, this book provides everything you need: theory, examples, and exams - all in one comprehensive resource.
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