Real Analysis

Author:

Dr. Mukesh Kumar

,

Dr. Anubhav Pratap Singh

,

Dr. Ashok Kumar

Publisher:

Medtech Publishers

Rs193 Rs250 23% OFF

Availability: Available

Publisher

Medtech Publishers

Publication Year 2018
ISBN-13

9789387025516

ISBN-10 9387025519
Binding

Paperback

Edition First
Number of Pages 172 Pages
Language (English)
Dimensions (Cms) 24 X 18.5 X 1
Weight (grms) 266

 


The book is divided into five chapters. Chapter 1 covers Real Number System which includes basic properties of real number system as well as binary expansion, ternary expansion and cantor ternary. Chapter 2 deals the introduction and properties of Open and Closed Sets, Limit Points, finite and infinite sets and countable sets. While chapter 3 concern the sequences, basic properties and some important definition and theorems. Chapter 4 covers the basic terminology of sequence and series, Cauchy's fundamental test for series, Alternating series, geometric series, p-series test, ratio test etc. While in chapter 5 we have to study the concept of convergence of series of functions, test for absolute convergent, power series, uniform convergence and properties of uniformly convergent series, Weierstras's M-Test and Binomial, Exponential and Logarithmic Series. At the end of every chapter Multiple Choice Questions are discussed.


 

Dr. Mukesh Kumar

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, Business Mathematics and Differential Calculus.

Dr. Anubhav Pratap Singh

Dr. Anubhav Pratap Singh is working as an Assistant Professor (Senior scale) in 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

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.
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