TY  - BOOK
AU  - Jeffrey Humpherys
AU  - Tyler J. Jarvis
AU  - Emily J. Evans
TI  - Foundations of applied mathematics
T2  - Mathematical Analysis
SN  - 978-1-61197-489-8
AV  - QA303.2 
PY  - 2017///]
CY  - Philadelphia
PB  - Society for Industrial and Applied Mathematics
KW  - Mathematics
N1  - Chapter 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

N2  - Foundations 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?
ER  -