A Primer for Mathematical Analysis | Buch

Cover: 9783031917127 | A Primer for Mathematical Analysis | David Borthwick | Buch | viii

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Sprache: Englisch

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Beschreibung

This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps.

Zusammenfassung

David Borthwick, Ph.D., is a Professor in the Department of Mathematics at Emory University. He received his Ph.D. in physics from Harvard University in 1993 and has taught mathematics at Emory for over 25 years. His research focuses on mathematical physics, spectral theory, and geometric analysis. He is the author of several books, including Spectral Theory in the Springer GTM series.

Inhaltsverzeichnis

Real Numbers.- Complex Numbers and Series.- Metric Topology.- Functions on Metric Spaces. Solutions to Exercises.- Index.

Details

Erscheinungsjahr:	2025
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Synthesis Lectures on Mathematics & Statistics
Inhalt:	viii 119 S. 2 s/w Illustr. 16 farbige Illustr. 119 p. 18 illus. 16 illus. in color.
ISBN-13:	9783031917127
ISBN-10:	303191712X
Sprache:	Englisch
Einband:	Gebunden
Autor:	Borthwick, David
Hersteller:	Springer Springer International Publishing AG Synthesis Lectures on Mathematics & Statistics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	246 x 173 x 13 mm
Von/Mit:	David Borthwick
Erscheinungsdatum:	01.08.2025
Gewicht:	0,402 kg