Ramified Surfaces : On Branch Curves and Algebraic Geometry in the 20th Century - Michael Friedman

Instant online reading.
Don't wait for delivery!

Ramified Surfaces

On Branch Curves and Algebraic Geometry in the 20th Century

By: Michael Friedman

Write A Review

Paperback | 28 September 2022

At a Glance

Paperback
264 Pages

Dimensions(cm)
24.0 x 16.8 x 1.4

Paperback

RRP $89.99

$85.75

or 4 interest-free payments of $21.44 with

or

Ships in 15 to 25 business days

The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19^th century with descriptive geometry as well as knot theory, the book focuses on the 20^th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon''s program of braid monodromy factorization.

By focusing on how the research on one specific curve changed during the 20^th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20^th century, considering this curve as an intersection of several research approaches and methods.

Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

Industry Reviews

"There are brief biographies of the principal mathematicians discussed in Ramified surfaces, the expansive account of Jewish mathematicians like Moishezon whose emigration from the USSR was denied or delayed for an indefinite amount of time is a welcome reminder that mathematics is a human enterprise. This book is suitable for advanced graduate students and historians
of mathematics." (Judith R. Goodstein, Mathematical Reviews, September, 2023)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.