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＜電子ブック＞
Fundamentals of Analysis with Applications / by Atul Kumar Razdan, V. Ravichandran

版	1st ed. 2022.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2022
大きさ	XXIV, 477 p. 44 illus : online resource
著者標目	*Razdan, Atul Kumar author Ravichandran, V author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functions of real variables LCSH:Set theory LCSH:Sequences (Mathematics) LCSH:Algebraic topology LCSH:Fourier analysis FREE:Analysis FREE:Real Functions FREE:Set Theory FREE:Sequences, Series, Summability FREE:Algebraic Topology FREE:Fourier Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-16-8383-1

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