000			03759nam a22003855i 4500
001			86289
003			ES-MaUEC
005			20230207040551.0
007			cr nn 008mamaa
008			161004s2016 gw | s |||| 0|eng d
020			_a9783319427553
040			_aES-MaUEC
050		4	_aQA300 _b.R665 2016
082	0	4	_a004.0151
100	1		_aRömisch, Werner. _999899 _0Local
245	1	0	_aMathematical Analysis and the Mathematics of Computation _cby Werner Römisch, Thomas Zeugmann
260			_aCham _bSpringer International Publishing _c2016
300			_a1 recurso en línea (XXIII, 703 páginas) _b52 ilustraciones, 32 ilustraciones en color
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
505	0		_aSets, Structures, Numbers -- Metric Spaces -- Continuous Functions in Metric Spaces -- Linear Normed Spaces, Linear Operators -- The Differential Calculus -- Applications of the Differential Calculus -- The Integral Calculus -- Linear Integral Operators -- Inner Product Spaces -- Approximative Representation of Functions -- Ordinary Differential Equations -- Discretization of Operator Equations -- Numerical Solution of Ordinary Differential Equations.
520	3		_aThis book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.
710	2		_aSpringerLink (Online service) _0Local _9106996
942			_2lcc _cLE
988			_aEBOOK, asignarmaterias , EBSPRINGER
650		7	_aAnálisis matemático _0comprobar BNE19900959913 _2embne _9138443
650		7	_aAnálisis matemático _0(OCoLC)1012068 _2embne _0 _9138443
700	1		_aZeugmann, Thomas _0Local _999900
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-42755-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
901			_ai9783319427553
907			_a.b1295567x _b10-10-17 _c21-11-16
998			_am _a_alco _a_vill _b - - _cm _dz _e- _feng _ggw _h0
945			_aQA300 .R665 2016 EB _g1 _ieBOOK _j0 _lmae _o- _pEUR0.00 _q- _r- _sb _t15 _u0 _v0 _w0 _x0 _y.i11597756 _z06-04-17
999			_c86289 _d86289 _x1