Foundations of applied mathematics

By: Jeffrey HumpherysContributor(s): Tyler J. Jarvis | Emily J. EvansMaterial type: TextTextSeries: Mathematical Analysis ; Vol. 1Publication details: Philadelphia, Society for Industrial and Applied Mathematics: [c2017]Description: 689 pISBN: 978-1-61197-489-8Subject(s): MathematicsLOC classification: QA303.2
Contents:
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
Summary: 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?
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA303.2 (Browse shelf (Opens below)) Available 7242446812 ; Dated: 01/03/2019 01888
Total holds: 0

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

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?

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