Fundamentals of analysis with applications [electronic resource] / Atul Kumar Razdan, V. Ravichandran.

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Fundamentals of analysis with applications [electronic resource] / Atul Kumar Razdan, V. Ravichandran.

9789811683831 (electronic bk.)
9811683832 (electronic bk.)
9811683824
9789811683824

Singapore : Springer, 2022.

English

1 online resource

10.1007/978-981-16-8383-1 doi

QA300

515

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed March 31, 2022).

Print version: 9789811683824

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