000			02115cam a22002893u 4500
001			20313
003			UtSlPG
005			20260610133453.0
006			m
007			cr n
008			260607r2007||||utu|||||o|||||||||||||| d
040			_aUtSlPG
041		7	_ade _2iso639-1
050		4	_aQA
100	1		_aKlein, Felix, _d1849-1925
245	1	0	_aUeber Riemann's Theorie der Algebraischen Functionen
264		1	_aSalt Lake City, UT : _bProject Gutenberg, _c2007
300			_a1 online resource : _bmultiple file formats
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aRelease date is 2007-01-08
520			_a"Ueber Riemann's Theorie der Algebraischen Functionen" by Felix Klein is a scientific publication written in the late 19th century. This work delves into the study of algebraic functions through the lens of Riemann's theories, exploring the connections between complex variables and physical interpretations such as stationary flows. It serves as a foundational text for understanding complex analysis and its applications in mathematics and physics. The opening of the text introduces the reader to the fundamental concepts that will be explored throughout the work. It begins with a discussion of stationary flows in the plane, using these flows as a means to describe complex functions of the form \( w = f(z) \). Klein explains how these flows can be interpreted to understand the behavior of algebraic functions, emphasizing the physical analogies found in fluid dynamics. He details the mathematical basis for interpreting these flows, including definitions of terms like "level curves" and "flow curves," and begins to categorize different types of singular points that arise in the context of these functions. This conceptual groundwork sets the stage for a deeper exploration of Riemann's theory in subsequent sections. (This is an automatically generated summary.)
534			_nOriginal publication data not identified
653			_aAlgebraic functions
856	4	0	_uhttps://www.gutenberg.org/ebooks/20313
999			_c61584 _d61584