Fundamentals of analysis with applications / Atul Kumar Razdan, V. Ravichandran.
2022
QA300
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Details
Title
Fundamentals of analysis with applications / Atul Kumar Razdan, V. Ravichandran.
Author
Razdan, Atul Kumar, editor.
ISBN
9789811683831 (electronic bk.)
9811683832 (electronic bk.)
9811683824
9789811683824
9811683832 (electronic bk.)
9811683824
9789811683824
Publication Details
Singapore : Springer, 2022.
Language
English
Description
1 online resource
Item Number
10.1007/978-981-16-8383-1 doi
Call Number
QA300
Dewey Decimal Classification
515
Summary
This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 31, 2022).
Added Author
Ravichandran, V. author.
Available in Other Form
Print version: 9789811683824
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Table of Contents
1. Sets, Functions and Cardinality
2. The Real Numbers
3. Sequence and Series of Numbers
4. Analysis on R
5. Topology of the Real Line
6. Metric Spaces
7. Continuity and Differentiability
8. Sequences and Series of Functions
9. Lebesgue Integration
10. Fourier Series.
2. The Real Numbers
3. Sequence and Series of Numbers
4. Analysis on R
5. Topology of the Real Line
6. Metric Spaces
7. Continuity and Differentiability
8. Sequences and Series of Functions
9. Lebesgue Integration
10. Fourier Series.