Topics in algebraic and analytic geometry
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Topics in algebraic and analytic geometry notes from a course of Phillip Griffiths. by Phillip Griffiths

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Published by Princeton University Press in Princeton, N.J .
Written in English

Subjects:

  • Geometry, Algebraic.,
  • Geometry, Analytic.

Book details:

Edition Notes

StatementWritten and rev. by John Adams.
SeriesMathematical notes, 13, Mathematical notes (Princeton University Press) ;, 13.
ContributionsAdams, John, 1949 Sept. 8-
Classifications
LC ClassificationsQA564 .G66
The Physical Object
Paginationvi, 219 p.
Number of Pages219
ID Numbers
Open LibraryOL5043273M
ISBN 100691081514
LC Control Number74002968

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Book Description: This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Additional Physical Format: Online version: Griffiths, Phillip, Topics in algebraic and analytic geometry. Princeton, N.J., Princeton University Press, Complex Analysis by Charles Walkden. This note explains the following topics: Limits and differentiation in the complex plane and the Cauchy-Riemann equations, Power series and elementary analytic functions, Complex integration and Cauchy’s Theorem, Cauchy’s Integral Formula and Taylor’s Theorem, Laurent series and singularities. Get this from a library! Topics in algebraic and analytic geometry: notes from a course of Phillip Griffiths. [Phillip A Griffiths; John Adams].

Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic correspondence makes it possible to reformulate problems in geometry as . I think Algebraic Geometry is too broad a subject to choose only one book. Maybe if one is a beginner then a clear introductory book is enough or if algebraic geometry is not ones major field of study then a self-contained reference dealing with the important topics thoroughly is enough. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion and Zariski's main theorem. The author also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. The book combines analytic geometry and topics traditionally treated in college algebra that depend upon geometric representation. Through this combination it becomes possible to show the student more directly the meaning of these subjects. ( views) Higher Geometry: an introduction to advanced methods in analytic geometry.

Analytic Geometry Much of the mathematics in this chapter will be review for you. However, the examples will be oriented toward applications and so will take some thought. In the (x,y) coordinate system we normally write the x-axis horizontally, with positive numbers to the right of the origin, and the y-axis vertically, with positive numbers above. Topics in algebraic and analytic geometry: notes from a course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. Publisher Summary. This chapter presents a preliminary review of intermediate algebra and analytic geometry. Although the term is sometimes used differently, advanced mathematics is most often understood to be the content of first courses in subjects such as algebra, analytic geometry, vector analysis, differential calculus, and integral calculus. Topics in Algebraic and Analytic Geometry. (MN): Notes From a Course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams. This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. You can write a book review and share your experiences. Other.