000			03399nam a22005295i 4500
001			978-1-4614-5981-1
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005			20140220082822.0
007			cr nn 008mamaa
008			121116s2013 xxu| s |||| 0|eng d
020			_a9781461459811 _9978-1-4614-5981-1
024	7		_a10.1007/978-1-4614-5981-1 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aKrantz, Steven G. _eauthor.
245	1	4	_aThe Implicit Function Theorem _h[electronic resource] : _bHistory, Theory, and Applications / _cby Steven G. Krantz, Harold R. Parks.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013.
300			_aXIII, 163 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModern Birkhäuser Classics
505	0		_aPreface -- Introduction to the Implicit Function Theorem -- History -- Basic Ideas -- Applications -- Variations and Generalizations -- Advanced Implicit Function Theorems -- Glossary -- Bibliography -- Index.
520			_aThe implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis.   There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth functions, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash–Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph. Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650		0	_aGlobal differential geometry.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aPartial Differential Equations.
650	2	4	_aDifferential Geometry.
650	2	4	_aHistory of Mathematical Sciences.
650	2	4	_aOrdinary Differential Equations.
700	1		_aParks, Harold R. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461459804
830		0	_aModern Birkhäuser Classics
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5981-1
912			_aZDB-2-SMA
999			_c95554 _d95554