Differential Calculus(Pb)

Differential calculus is a branch of applied mathematics concerning mathematical models that are usually used in sciences, engineering, and industry applications. It is also widely applicable in a variety of other fields and virtually used in physics, statistics, biology, computer graphics, economics and numerous engineering fields. The aim of this book is to provide as textbook for undergraduate students of UGC unified syllabus as per Choice Based Credit System. The book is consisting of sixteen chapters. At the end of every chapter Multiple Choice Questions, Fill in the Blanks and True/False are discussed.

Limits and Continuity • Differentiability • Mean Value Theorem • Successive Differentiation • Expansions of Functions • Indeterminate Forms • Partial Differentiation • Total Differentiation • Jacobians • Maxima and Minima • Tangent and Normals • Curvature • Envelopes and Evolutes • Asymptotes • Singular Points • Tracing of Cartesian and Polar Curves.

Dr. Mukesh Kumar is presently working as an Associate Professor in the Department of Mathematics at Graphic Era University, Dehradun, India. He received M. Phil. Degree in Mathematics from Indian Institute of Technology, Roorkee, India and Ph.D. Degree from HNBG Central University, Srinagar and has an experience of more than 13 years. His fields of specialization are inventory control, supply chain management and operations research. He has published 19 research papers in national and international reputed journals as well as presented many papers in national and international conferences. He has guided two Ph.D. students in the field of operations research. He is also on the editorial board of many National and International journals and reviewer of many national and international journals. He is an author/co-author six books viz. Mathematical Foundation of Computer Science, Engineering Mathematics for Semesters I and II, Engineering Mathematics for Semesters III and IV and Business Mathematics.

Dr. Anubhav Pratap Singh is working as an Assistant Professor (Senior scale) in the Department of Mathematics at SGRR PG College affiliated with HNB Garwhal Central University, Srinagar. He obtained M.Phil. in Mathematics from  IIT, Roorkee, and Ph. D. in Mathematics from CCS University, Meerut, UP. He received M.Sc. in Mathematics and undergraduation from H.N.B. Garwhal University, Srinagar. He has 10 years postgraduate teaching experience and guided six Ph.D. students in the field of operations research. He has published many research papers in national and international reputed journals as well as presented many papers in national and international conferences.

Dr. Ashok Kumar is working as an Assistant Professor in the Department of Mathematics at H.N.B. Garhwal University (A Central University), Srinagar, Garhwal, Uttarakhand. He has completed his M.Sc. (Applied Mathematics)  and Ph.D. in Mathematics from the Department of Mathematics, Indian Institute of Technology, Roorkee. He has worked as an assistant professor in Government W. PG College, Kandhla, Muzaffarnagar, UP and after it he worked as an assistant professor in the department of mathematics NIT, Jalandhar, Punjab. His research area are Computational Fluid Dynamics, Hydrodynamic Stability, Spectral Method and Spectral Element Methods. He has been completed one UGC STARTUP Research Project and one DST-SERB project is running on Hydrodynamic stability in Vertical pipe filled with porous medium. He has published 12 research paper in international peer review journals and 06 articles in National and International conferences organized in India and abroad.