A Handbook of Real Variables: With Applications to Differential Equations and Fourier Analysis - Softcover

Krantz, Steven G. G.

Softcover

ISBN 10: 146126409X ISBN 13: 9781461264095

Verlag: Birkhäuser, 2012

Inhaltsangabe

This concise, well-written handbook provides a distillation of real variable theory with a particular focus on the subject's significant applications to differential equations and Fourier analysis. Ample examples and brief explanations---with very few proofs and little axiomatic machinery---are used to highlight all the major results of real analysis, from the basics of sequences and series to the more advanced concepts of Taylor and Fourier series, Baire Category, and the Weierstrass Approximation Theorem.  Replete with realistic, meaningful applications to differential equations, boundary value problems, and Fourier analysis, this unique work is a practical, hands-on manual of real analysis that is ideal for physicists, engineers, economists, and others who wish to use the fruits of real analysis but who do not necessarily have the time to appreciate all of the theory.  Valuable as a comprehensive reference, a study guide for students, or a quick review, "A Handbook of Real Variables" will benefit a wide audience.

 

 

Über diesen Titel

Über die Autorin bzw. den Autor

Steven G. Krantz is one of Springer's and Birkhäuser's most prolific and popular authors in the field of functional analysis, geometric analysis, and partial differential equations. Krantz is the series editor of Birkhäuser's ' Cornerstones' graduate text series and the founder and editor-in-chief of "The Journal of Geometric Analysis", considered a society journal previously published by the AMS and often acts as an advisor to several senior editors at Springer/ Birkhäuser . He is also editor-in-chief of the "Journal of Mathematical Analysis and Applications". Professor Krantz is currently the editor-in-chief of the AMS Notices and also edits for "The American Mathematical Monthly", "Complex Analysis and Elliptical Equations", and "The Bulletin of the American Mathematical Monthly". Krantz is also known for his wide breadth of expertise in several areas of mathematics such as harmonica analysis, differential geometry, and Lie groups, to name a few. Notable awards include Chauvenet Prize (1992), Beckenbach Book Award (1994), Kemper Prize (1994), Outstanding Academic Book Award (1998), Washington University Faculty Mentor Award (2007).

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 146126409X
• ISBN 13: 9781461264095
• Einband: Taschenbuch
• Anzahl der Seiten: 220
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland