Algebraic Curves and Riemann Surfaces, Vol. 5
The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. —William Goldman, University of Maryland 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...
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\ BooknewsTreats the major theorems of algebraic curves and Riemann surfaces with a minimum of prerequisites, and introduces the language of modern algebraic geometry, incorporating a perspective that combines algebraic curves and complex numbers. Defines Riemann surfaces and holomorphic maps with numerous examples, presents material on divisors, functions, and maps, offers proofs of the Riemann-Roch theorem and Serre Duality, and discusses points of linear systems. Introduces sheaves and cohomology, and includes a notation index. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \
