Riemann Surfaces
A Primer
Seiten
2020
|
2nd Revised edition
Cambridge University Press (Verlag)
978-0-521-65962-8 (ISBN)
Cambridge University Press (Verlag)
978-0-521-65962-8 (ISBN)
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This textbook introduces both the theory of Reimann surfaces, and of analytic functions between Reimann surfaces.
This textbook, aimed at advanced undergraduate or beginning graduate students in mathematics, introduces both the theory of Riemann surfaces, and of analytic functions between Riemann surfaces. The first half of the book describes the basic theory, the second half develops the theory of harmonic and subharmonic functions on a Riemann surface, and culminates with a detailed proof of the famous Uniformisation Theorem and some of its applications to Riemann surface theory. The book is a major revision of the author's earlier 'Primer', with new chapters and more exercises and examples.
This textbook, aimed at advanced undergraduate or beginning graduate students in mathematics, introduces both the theory of Riemann surfaces, and of analytic functions between Riemann surfaces. The first half of the book describes the basic theory, the second half develops the theory of harmonic and subharmonic functions on a Riemann surface, and culminates with a detailed proof of the famous Uniformisation Theorem and some of its applications to Riemann surface theory. The book is a major revision of the author's earlier 'Primer', with new chapters and more exercises and examples.
1. Complex analysis; 2. Basic topology; 3. Riemann surfaces; 4. Examples; 5. Analytic functions; 6. Existence of analytic funtions; 7. Analytic continuation; 8. Covering spaces; 9. Harmonic functions; 10. Additional topics.
| Erscheint lt. Verlag | 1.6.2020 |
|---|---|
| Reihe/Serie | London Mathematical Society Student Texts ; 46 |
| Zusatzinfo | illustrations |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | London Mathematical Society Student Texts S.; 46 |
| ISBN-10 | 0-521-65962-0 / 0521659620 |
| ISBN-13 | 978-0-521-65962-8 / 9780521659628 |
| Zustand | Neuware |
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Hanser, Carl (Verlag)
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