A Textbook Of B Sc Mathematics Real Analysis For B A B Sc Mathematics 2nd Year Andhra Pradesh University
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A Textbook of B.Sc. Mathematics Real Analysis: For B.A/B.Sc. Mathematics 2nd Year | Andhra Pradesh University
Author: V. VENKATESWARA RAO, R BHARAVI SHARMA, B.V.S.S. SARMA, N. KRISHNAMURTHY, S. ANJANEYA SASTRY & S. Ranganatham
language: en
Publisher: S. Chand Publishing
Release Date:
This book is designed for B.A./B. Sc. Mathematics Second Year (Second Semester) Students of the Universities in Andhra Pradesh. Designed to strengthen your foundational understanding, this book effortlessly merges the theory with practical applications, making complex concepts accessible and engaging. The book is divided into Five Units. Unit I: Real Numbers and Real Sequences explore the algebraic and order properties of real numbers, the completeness property, and the intricacies of sequences, including convergence, monotonicity, and the Bolzano-Weierstrass theorem. Unit II: Infinite Series develop a thorough understanding of evaluating series using convergence tests such as the p-test, Root Test, Ratio Test, and the Leibniz Test for alternating series. Unit III: Limits and Continuity understand the limits of real-valued functions, the concept of continuity, and uniform continuity through rigorous yet simplified explanations. Unit IV: Differentiation and Mean Value Theorems grasp the essence of differentiation and delve into the profound implications of Rolle's, Lagrange's, and Cauchy's Mean Value Theorems. Unit V: Riemann Integration achieve a deep understanding of the Riemann integral, exploring the properties of integrable functions, the Fundamental Theorem of Calculus, and its practical applications as a limit of sums. Whether you're preparing for exams or aiming to deepen your mathematical expertise, this book is your ultimate companion on this mathematical journey.
A Textbook of B.Sc. Mathematics Real Analysis
Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma, S Anjaneya Sastry & S Ranganatham
language: en
Publisher: S. Chand Publishing
Release Date:
This book has been thoroughly revised according to the syllabus of Semester-IV (2nd year's 2nd semester) students of all universities of Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 2nd year's 2nd semester of the theory as well as practical.
A Textbook of B.Sc. Mathematics (Real Analysis): Volume IV for Andhra Pradesh Universities
Author: V. VENKATESWARA RAO, Dr. R. BHARAVI SHARMA, B.V.S.S. SARMA, N. KRISHNAMURTHY, S. ANJANEYA SASTRY & S. RANGANATHAM
language: en
Publisher: S. Chand Publishing
Release Date:
"A Textbook of B.Sc. Mathematics [Real Analysis]" strictly covers the new curriculum for Course 4 (2nd year, 2nd semester) of universities in Andhra Pradesh. It covers Real Numbers, Sequences and Infinite Series with p-test, Cauchy's nth root test or Root Test, D'-Alembert's Test or Ratio Test, Alternating Series - Leibnitz Test.