000			04250nam a22005415i 4500
001			978-0-8176-8259-0
003			DE-He213
005			20140220083227.0
007			cr nn 008mamaa
008			111205s2012 xxu| s |||| 0|eng d
020			_a9780817682590 _9978-0-8176-8259-0
024	7		_a10.1007/978-0-8176-8259-0 _2doi
050		4	_aQA71-90
072		7	_aPBKS _2bicssc
072		7	_aMAT006000 _2bisacsh
082	0	4	_a518 _223
082	0	4	_a518 _223
100	1		_aGautschi, Walter. _eauthor.
245	1	0	_aNumerical Analysis _h[electronic resource] / _cby Walter Gautschi.
250			_aSecond Edition.
264		1	_aBoston : _bBirkhäuser Boston, _c2012.
300			_aXXVI, 588p. 59 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface to the Second Edition -- Preface -- Prologue -- Chapter 1. Machine Arithmetic and Related Matters -- Chapter 2. Approximation and Interpolation -- Chapter 3. Numerical Differentiation and Integration -- Chapter 4. Nonlinear Equations -- Chapter 5. Initial Value Problems for ODEs --- One-Step Methods -- Chapter 6. Initial Value Problems for ODEs --- Multi-Step Methods -- Chapter 7. Two-Point Boundary Value Problems for ODEs -- References -- Subject Index.
520			_aThe book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the writing concise, and the author never lets the exposition bog down... [The book] successfully conveys the author's interest and experience in the subject to the reader. —SIAM Review (on the First Edition) Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis textbook explores computational methods for problems arising in areas such as classical analysis, approximation theory, nonlinear equations, and ordinary differential equations. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the author has carefully developed and polished a complete solutions manual for this edition, which is available through the publisher and will serve as an exceptionally valuable resource for instructors. The text is geared to a one- or two-semester graduate course in numerical analysis for students who have a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analysis, and differential equations. Previous exposure to numerical methods in an undergraduate class is desirable but not absolutely necessary.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential Equations.
650		0	_aComputer science _xMathematics.
650		0	_aComputer science.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aComputational Mathematics and Numerical Analysis.
650	2	4	_aComputational Science and Engineering.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aNumerical Analysis.
650	2	4	_aAnalysis.
650	2	4	_aApplications of Mathematics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817682583
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8259-0
912			_aZDB-2-SMA
999			_c100224 _d100224