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.
| ISBN: | 9781461264125 |
| Publication date: | 7th September 2012 |
| Author: | Steven G Krantz, Harold R Parks |
| Publisher: | Birkhauser an imprint of Birkhäuser Boston |
| Format: | Paperback |
| Pagination: | 209 pages |
| Series: | Birkhäuser Advanced Texts Basler Lehrbücher |
| Genres: |
Calculus and mathematical analysis Complex analysis, complex variables Differential calculus and equations Algebraic geometry |
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.
A Primer of Real Analytic Functions features in the following genres: Calculus and mathematical analysis, Complex analysis, complex variables, Differential calculus and equations, Algebraic geometry
A Primer of Real Analytic Functions is available in Paperback, Hardback
A Primer of Real Analytic Functions was written by Steven G Krantz, Harold R Parks and published by Birkhauser an imprint of Birkhäuser Boston
A Primer of Real Analytic Functions has 209 pages
Yes it is part of Birkhäuser Advanced Texts Basler Lehrbücher series