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Fundamentals of analysis with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fundamentals of analysis with applicationsby Atul Kumar Razdan, V. Ravichandran.
Author:	Razdan, Atul Kumar.
other author:	Ravichandran, V.
Published:	Singapore :Springer Singapore :2022.
Description:	xxiv, 477 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis.
Online resource:	https://doi.org/10.1007/978-981-16-8383-1
ISBN:	9789811683831$q(electronic bk.)

Fundamentals of analysis with applications
Razdan, Atul Kumar.

Fundamentals of analysis with applications[electronic resource] /by Atul Kumar Razdan, V. Ravichandran. - Singapore :Springer Singapore :2022. - xxiv, 477 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789811683831$q(electronic bk.)

Standard No.: 10.1007/978-981-16-8383-1doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300 / .R39 2022

Dewey Class. No.: 515

Fundamentals of analysis with applications
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245 1 0 $a Fundamentals of analysis with applications $h [electronic resource] / $c by Atul Kumar Razdan, V. Ravichandran.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2022.
300 $a xxiv, 477 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Analysis. $3 273775
650 2 4 $a Real Functions. $3 273779
650 2 4 $a Set Theory. $3 922340
650 2 4 $a Sequences, Series, Summability. $3 275704
650 2 4 $a Algebraic Topology. $3 273784
650 2 4 $a Fourier Analysis. $3 273776
700 1 $a Ravichandran, V. $3 925299
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-16-8383-1
950 $a Mathematics and Statistics (SpringerNature-11649)