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020 _a9783031081231
040 _cIIT Kanpur
041 _aeng
082 _a518
_bSt49n
100 _aStewart, David E.
245 _aNumerical analysis
_ba graduate course
_cDavid E. Stewart
260 _bSpringer
_c2022
_aSwitzerland
300 _axv, 632p
440 _aCMS/CAIMS Books in mathematics
490 _a/ edited by Karl Dilcher ...[et al.]
_v; v. 4
520 _aThis book aims to introduce graduate students to the many applications of numerical computation, explaining in detail both how and why the included methods work in practice. The text addresses numerical analysis as a middle ground between practice and theory, addressing both the abstract mathematical analysis and applied computation and programming models instrumental to the field. While the text uses pseudocode, Matlab and Julia codes are available online for students to use, and to demonstrate implementation techniques. The textbook also emphasizes multivariate problems alongside single-variable problems and deals with topics in randomness, including stochastic differential equations and randomized algorithms, and topics in optimization and approximation relevant to machine learning. Ultimately, it seeks to clarify issues in numerical analysis in the context of applications, and presenting accessible methods to students in mathematics and data science.
650 _aNumerical analysis
650 _aMathematics
942 _cBK
999 _c567318
_d567318