Algebraic Geometry for Scientists and Engineers
Author： Shreeram S. Abhyankar
Publisher： American Mathematical Society
Publication year： 1990
E-ISBN: 9781470412623
P-ISBN(Paperback): 9780821815359
P-ISBN(Hardback): 9780821815359
Subject： O187 algebraic geometry
Keyword： Algebra and Algebraic Geometry
Language： ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Algebraic Geometry for Scientists and Engineers
Description
This book is intended as an algebraic geometry textbook for engineers and scientists. In addition to providing an elementary, manipulative, and algorithmic approach to the subject, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra. The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities. The emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. Readers will gain new insight into the subject of algebraic geometry in a way that should increase appreciation of modern treatments of the subject, as well as enhance its utility in applications in science and industry.