A Primer of Real Analytic Functions (Birkhäuser Advanced Texts Basler Lehrbücher) - Hardcover

Krantz, Steven G.; Parks, Harold R.

Hardcover

ISBN 10: 0817642641 ISBN 13: 9780817642648

Verlag: Birkhäuser, 2002

Inhaltsangabe

It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana­ lytic Functions. The theory of real analytic functions is the wellspring of mathe­ matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treat­ ment of Faa di Bruno's forrnula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit func­ tion theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhäuser Boston, for mak­ ing the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look for­ ward to further constructive feedback.

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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: 2002
• Sprache: Englisch
• ISBN 10: 0817642641
• ISBN 13: 9780817642648
• Einband: Gebundene Ausgabe
• Auflage: 2
• Anzahl der Seiten: 222
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland