000			03414nam a22005415i 4500
001			978-3-540-26937-3
003			DE-He213
005			20161121230527.0
007			cr nn 008mamaa
008			100301s2005 gw | s |||| 0|eng d
020			_a9783540269373 _9978-3-540-26937-3
024	7		_a10.1007/b138337 _2doi
050		4	_aQA76.9.M35
072		7	_aPBD _2bicssc
072		7	_aUYAM _2bicssc
072		7	_aCOM018000 _2bisacsh
072		7	_aMAT008000 _2bisacsh
082	0	4	_a004.0151 _223
100	1		_aMazzola, Guerino. _eauthor.
245	1	0	_aComprehensive Mathematics for Computer Scientists 2 _h[electronic resource] : _bCalculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus / _cby Guerino Mazzola, Gérard Milmeister, Jody Weissmann.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005.
300			_aX, 355 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aTopology and Calculus -- Limits and Topology -- Differentiability -- Inverse and Implicit Functions -- Integration -- The Fundamental Theorem of Calculus and Fubini’s Theorem -- Vector Fields -- Fixpoints -- Main Theorem of ODEs -- Third Advanced Topic -- Selected Higher Subjects -- Categories -- Splines -- Fourier Theory -- Wavelets -- Fractals -- Neural Networks -- Probability Theory -- Lambda Calculus.
520			_aThis second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal logic, machines, and linear geometry, of volume 1. With this spectrum of fundamentals in mathematical e- cation, young professionals should be able to successfully attack more involved subjects, which may be relevant to the computational sciences. In a second regard, the end of part III and part IV add a selection of more advanced topics. In view of the overwhelming variety of mathematical approaches in the computational sciences, any selection, even the most empirical, requires a methodological justi?cation. Our primary criterion has been the search for harmonization and optimization of thematic - versity and logical coherence. This is why we have, for instance, bundled such seemingly distant subjects as recursive constructions, ordinary d- ferential equations, and fractals under the unifying perspective of c- traction theory.
650		0	_aComputer science.
650		0	_aMathematical logic.
650		0	_aComputer science _xMathematics.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650	1	4	_aComputer Science.
650	2	4	_aDiscrete Mathematics in Computer Science.
650	2	4	_aApplications of Mathematics.
650	2	4	_aMathematical Logic and Formal Languages.
700	1		_aMilmeister, Gérard. _eauthor.
700	1		_aWeissmann, Jody. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540208617
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/b138337
912			_aZDB-2-SCS
950			_aComputer Science (Springer-11645)
999			_c500093 _d500093