Geometry and Spectra of Compact Riemann Surfaces (Modern Birkhäuser Classics) - Tapa blanda

Buser, Peter

 
9780817649913: Geometry and Spectra of Compact Riemann Surfaces (Modern Birkhäuser Classics)
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ISBN 10: 0817649913 ISBN 13: 9780817649913
Editorial: Birkhäuser, 2010

Sinopsis

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature -1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.

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Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

De la contraportada

This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. The first part of the book is written in textbook form at the graduate level, with only minimal requisites in either differential geometry or complex Riemann surface theory. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on the heat equation. Later chapters deal with recent developments on isospectrality, Sunada’s construction, a simplified proof of Wolpert’s theorem, and an estimate of the number of pairwise isospectral non-isometric examples which depends only on genus. Researchers and graduate students interested in compact Riemann surfaces will find this book a useful reference.  <i>Anyone familiar with the author's hands-on approach to Riemann surfaces will be gratified by both the breadth and the depth of the topics considered here. The exposition is also extremely clear and thorough. Anyone not familiar with the author's approach is in for a real treat. </i><b><i>— Mathematical Reviews</i></b> <i>This is a thick and leisurely book which will repay repeated study with many pleasant hours – both for the beginner and the expert. It is fortunately more or less self-contained, which makes it easy to read, and it leads one from essential mathematics to the “state of the art” in the theory of the Laplace–Beltrami operator on compact Riemann surfaces. Although it is not encyclopedic, it is so rich in information and ideas … the reader will be grateful for what has been included in this very satisfying book. </i><b><i>—Bulletin of the AMS </i></b> <i>The book is very well written and quite accessible; there is an excellent bibliography at the end. </i><b><i>—Zentralblatt MATH</i></b>

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Editorial
Birkhäuser
Año de publicación
2010
Idioma
Inglés
ISBN 10 
0817649913
ISBN 13 
9780817649913
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
472
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780817634063: Geometry and Spectra of Compact Riemann Surfaces: 106 (Progress in Mathematics)

Edición Destacada

ISBN 10:  0817634061 ISBN 13:  9780817634063
Editorial: Birkhauser Boston Inc, 1992
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