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Analysis IV
Book ID NBC3989
ISBN No. 81-7211-376-5
Book Name Analysis IV
Author/s name/s : Bandopadhyaya Lakshmisree
Publisher Name Northern Book Centre
Publishing Year 2018
Book Price (Printed) INR 200   
Book Price (Our Price) INR 200   
Book Page x + 106
Book Weight 24 x 19


   Post Review
Book Summary
This book has three chapters. In the first chapter, the characteristic difference between the set of real numbers and rational numbers has been discussed with regard to completeness property. The concept of neighbourhood open and closed sets, limit points, have been incorporated leading to Bolzano-Weistrass's theorem. Final part of this chapter discusses continuous functions and their properties and uniform continuity over a domain.
        In the second chapter, sequences and series have been studied ascertaining their convergence and divergence using various tests, like basic comparison tests, limit comparison test, D'Alembert's ratio test, Cauchy's nth root test, Raabe's test, Cauchy's integral test, etc. Leibnitz's test for alternating series, absolute and conditional convergence, subsequences, limit superior and limit inferior and properties of monotone sequences have been discussed in detail.
        The third chapter deals with Riemann integration giving emphasis to the proofs of the necessary and sufficient conditions of Riemann integrability of bounded functions. The integrability of continuous functions and monotonic function have been proved in order to enable students to identify functions which are integrable.
Book Content
   I Properties of Real Numbers, Continuous Functions and
     Uniformly Continuous Functions
  II 
Sequence and Series
 III 
Riemann  Integral
  Topics in Probability and Statistics
Price : INR 300
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  Elements of Analysis
Price : INR 200
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  Statistics
Price : INR 250
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  Topics in Linear Programming and Games Theory
Price : INR 300
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  Topics in Mechanics
Price : INR 300
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