Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics) Book + PRICE WATCH * Amazon pricing is not included in price watch

Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics) Book

In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of a one semester of complex variable! theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.Read More

from£63.32 | RRP: £45.50
* Excludes Voucher Code Discount Also available Used from £37.32
  • 0821802682
  • 9780821802687
  • Rick Miranda
  • 22 June 1995
  • American Mathematical Society
  • Hardcover (Book)
  • 390
As an Amazon Associate we earn from qualifying purchases. If you click through any of the links below and make a purchase we may earn a small commission (at no extra cost to you). Click here to learn more.

Would you like your name to appear with the review?

We will post your book review within a day or so as long as it meets our guidelines and terms and conditions. All reviews submitted become the licensed property of www.find-book.co.uk as written in our terms and conditions. None of your personal details will be passed on to any other third party.

All form fields are required.