(Ebook) Foundations of Applied Mathematics, Volume I by Jeffrey Humpherys, Tyler J. Jarvis, Emily J. Evans ISBN 9781611974898, 1611974895

(Ebook) Foundations of Applied Mathematics, Volume I by Jeffrey Humpherys, Tyler J. Jarvis, Emily J. Evans ISBN 9781611974898, 1611974895

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?'

Audience:This textbook is appropriate for advanced undergraduate or beginning graduate students in mathematics and, potentially, graduate students in physics, engineering,