Differential Calculus

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Primarily meant for graduate level students of Mathematics of different universities across India, the book provides the reader with the thorough understanding of the topics included in the UGC syllabus—Leibnitz’s Theorem, Maclaurian and Taylor Series Expansion, Rolle and Mean Value Theorem, Euler’s Theorem, Jacobians, Variables, Asymptotes, Curve Tracing to name a few. The explanation of the subject matter is systematic and all fundamental concepts of the included topics are explained with a micro-analysis. Sufficient number of well-graded solved examples have been given to let the students understand the various skills necessary to solve the problems. Unsolved practise exercises of multiple varieties included in the book will enable the students to have command of the subject. The figures incorporated herein are precise and accurate. These enable the students to grasp the subject matter in an easier way. All the answers have been thoroughly checked and verified. The book will undoubtedly prove useful to students in their study while for the teachers it is an ideal reference source. About Author: Hari Kishan is Senior Reader in Mathematics at Kishori Raman Postgraduate College, Mathura, affiliated to Dr. Bhim Rao Ambedkar University, Agra. He has 36 years of teaching experience of degree classes to his credit. He completed his M.Sc. from B.S.A. College, Mathura in 1971 and obtained a record percentage of marks for which he was awarded Gold Medal by Agra University. He received Ph.D. degree in Mathematics (Fluid Dynamics) in 1981 from the same university. His topic of research was ‘Flow of Homogeneous or Stratified Viscous Fluids.’ He has got published numerous research papers in several mathematical journals of repute. Besides, he is a well-known author of a large number of books on Mathematics, including Trigonometry, Integral Calculus, Coordinate Geometry of Two Dimensions, Coordinate Geometry of Three Dimensions, Matrices, Modern Algebra, Theory of Equations, Dynamics, Statics, Hydro Statics, Real Analysis, Numerical Analysis and Sure Success in Convergence.