000			02133nam a22002775i 4500
005			20210812160323.0
008			121227s1978 xxu| s |||| 0|eng d
020			_a9781461263135 _9978-1-4612-6313-5
050		4	_aQA315-316
050		4	_aQA402.3
082	0	4	_a515.64 _223
100	1		_aConway, John B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aFunctions of One Complex Variable I _h[electronic resource] / _cby John B. Conway.
250			_a2nd ed. 1978.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c1978.
300			_aXIV, 322 p. _bonline resource.
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v11
520			_aThis book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre­ requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ­ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe­ matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
650		0	_aCalculus of variations.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650	1	4	_aCalculus of Variations and Optimal Control; Optimization. _0https://scigraph.springernature.com/ontologies/product-market-codes/M26016
650	2	4	_aAnalysis. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
710	2		_aSpringerLink (Online service)
773	0		_tSpringer Nature eBook
856	4	0	_uhttps://doi.org/10.1007/978-1-4612-6313-5
999			_c1471 _d1471