Plane Algebraic Curves (Student Mathematical Library, V. 15)

0 valoración promedio
( 0 valoraciones por Goodreads )
 
9780821821220: Plane Algebraic Curves (Student Mathematical Library, V. 15)

The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as analysis and topology, that is typical of complex algebraic geometry, but without the need for advanced techniques from commutative algebra or the abstract machinery of sheaves and schemes. In the first half of this book, Fischer introduces some elementary geometrical aspects, such as tangents, singularities, inflection points, and so on. The main technical tool is the concept of intersection multiplicity and Bézout's theorem. This part culminates in the beautiful Plücker formulas, which relate the various invariants introduced earlier. The second part of the book is essentially a detailed outline of modern methods of local analytic geometry in the context of complex curves. This provides the stronger tools needed for a good understanding of duality and an efficient means of computing intersection multiplicities introduced earlier. Thus, we meet rings of power series, germs of curves, and formal parametrizations. Finally, through the patching of the local information, a Riemann surface is associated to an algebraic curve, thus linking the algebra and the analysis.

"Sinopsis" puede pertenecer a otra edición de este libro.

Review:

From a review of the German edition: "The present book provides a completely self-contained introduction to complex plane curves from the traditional algebraic-analytic viewpoint. The arrangement of the material is of outstanding instructional skill, and the text is written in a very lucid, detailed and enlightening style ... Compared to the many other textbooks on (plane) algebraic curves, the present new one comes closest in spirit and content, to the work of E. Brieskorn and H. Knoerrer ... One could say that the book under review is a beautiful, creative and justifiable abridged version of this work, which also stresses the analytic-topological point of view ... the present book is a beautiful invitation to algebraic geometry, encouraging for beginners, and a welcome source for teachers of algebraic geometry, especially for those who want to give an introduction to the subject on the undergraduate-graduate level, to cover some not too difficult topics in substantial depth, but to do so in the shortest possible time." -- --Zentralblatt MATH

"Sobre este título" puede pertenecer a otra edición de este libro.

Los mejores resultados en AbeBooks

1.

Gerd Fischer
Editorial: American Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Nuevos Paperback Cantidad: 2
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración
[?]

Descripción American Mathematical Society, 2001. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821821229

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 68,59
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 1,69
A Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Fischer, Gerd/ Kay, Leslie (Translator)
Editorial: Amer Mathematical Society (2001)
ISBN 10: 0821821229 ISBN 13: 9780821821220
Nuevos Paperback Cantidad: 1
Librería
Revaluation Books
(Exeter, Reino Unido)
Valoración
[?]

Descripción Amer Mathematical Society, 2001. Paperback. Estado de conservación: Brand New. 231 pages. 8.25x5.50x0.50 inches. In Stock. Nº de ref. de la librería 0821821229

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 72,41
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,80
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío