000			02130nam a22002417a 4500
003			OSt
005			20241104114337.0
008			190326b ||||| |||| 00| 0 eng d
020			_a978-1-61197-489-8
040			_cSIAM _aICTS-TIFR
050			_aQA303.2
100			_aJeffrey Humpherys
245			_aFoundations of applied mathematics
260			_aPhiladelphia, _bSociety for Industrial and Applied Mathematics: _c[c2017]
300			_a689 p.
490			_aMathematical Analysis _vVol. 1
505			_aChapter 1: Abstract Vector Spaces Chapter 2: Linear Transformations and Matrices Chapter 3: Inner Product Spaces Chapter 4: Spectral Theory Chapter 5: Metric Space Topology Chapter 6: Differentiation Chapter 7: Contraction Mappings and Applications Chapter 8: Integration I Chapter 9: *Integration II Chapter 10: Calculus on Manifolds Chapter 11: Complex Analysis Chapter 12: Spectral Calculus Chapter 13: Iterative Methods Chapter 14: Spectra and Pseudospectra Chapter 15: Rings and Polynomials
520			_aFoundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
650			_aMathematics
700			_aTyler J. Jarvis
700			_aEmily J. Evans
942			_2lcc _cBK
999			_c2551 _d2551