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Fundamentals of analysis with applic...

Razdan, Atul Kumar.

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Fundamentals of analysis with applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fundamentals of analysis with applications/ by Atul Kumar Razdan, V. Ravichandran.
作者:	Razdan, Atul Kumar.
其他作者:	Ravichandran, V.
出版者:	Singapore :Springer Singapore : : 2022.,
面頁冊數:	xxiv, 477 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-981-16-8383-1
ISBN:	9789811683831

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

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

516833
Mathematical analysis.

LC Class. No.: QA300 / .R39 2022

Dewey Class. No.: 515

Fundamentals of analysis with applications
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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.
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