• ISBN13: 9788126905720
• Binding: Paperback
• Subject: Mathematics and Statistics
• Publisher: Atlantic Publishers & Distributors (P) Ltd
• Publisher Imprint: Atlantic
• Publication Date: June 20, 2005
• Pages: 192
• Original Price: INR 295.0
• Language: English
• Edition: N/A
• Item Weight: 220 grams
• BISAC Subject(s): General

The present book Sure Success in Convergence covers extensively all the elementary principles and fundamental concepts of Convergence and Divergence of Infinite Series as well as Infinite Products. It is primarily designed as a textbook for the benefit of students of B.Sc. and B.A. It aims at providing a systematic, logical and interesting approach to the subject so that even a student with average mathematical skill may easily understand it. The style of the book is simple and lucid. Sufficient number of well-graded solved examples have been provided at the end of each chapter for easy grasp of the subject. Besides acquainting the students with the type of questions usually set at university and competitive examinations, these examples facilitate quick revision for examination purposes. It is hoped that a thorough study of this book will bring brilliant success to the students of Mathematics. Even teachers of this subject would find it equally useful in elucidating the concepts for the students.

Hari Kishan is Senior Reader in Mathematics at Kishori Raman Postgraduate College, Mathura, affiliated to Dr. Bhim Rao Ambedkar University, Agra. He has 34 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 Coordinate Geometry of Two Dimensions, A Textbook of Vector Algebra and Vector Calculus, Trigonometry, Differential Calculus, Integral Calculus, Integral Equations, Coordinate Geometry of Three Dimensions, Matrices, Modern Algebra, Theory of Equations, Dynamics, Statics, Hydro Statics, Real Analysis and Numerical Analysis.

• 1. Convergence and Divergence of Infinite Series
• Series, Finite Series, Infinite Series, Positive Term Series, Alternating Series, Important Limits, Definition, Geometric Series, Fundamental Properties, Test for Divergence, Leibnitz’s Test, Illustrative Examples;
• Comparison Test, Working Rule, Gen. Method, p-Series Test, Illustrative Examples;
• Cauchy Root Test, Illustrative Examples;
• D’Alembert’s Test or Ratio Test, Illustrative Examples;
• An Important Comparison Test, Result Raabe’s Test, Logarithmic Test, Cauchy’s Condensation Test, Auxiliary Series, De Morgan and Bertrand’s Test, Special Logarithmic Test, Illustrative Examples.
• 2. Convergence and Divergence of Infinite Products
• Definition, Convergent Product, Divergent Product, Illustrative Examples.