Applied Analysisv by John K. Hunter, Bruno Nachtergaele
Applied Analysisv - Table of Contents
- 1. Metric and Normed Spaces and metric normed vector spaces complete spaces
- 2. Continuous Functions
- 3. The Contraction Mapping Theorem and contraction mapping fixed point theorem applications
- 4. Topological Spaces
- 5. Banach Spaces and banach space open mapping closed graph theorem
- 6. Hilbert Spaces and hilbert space orthogonal projections riesz representation
- 7. Fourier Series
- 8. Bounded Linear Operators on a Hilbert Space
- 9. The Spectrum of Bounded Linear Operators and spectral theory bounded linear operators compact operators
- 10. Linear Differential Operators and Green's Functions and greens functions linear differential operators
- 11. Distributions and the Fourier Transform and distribution theory fourier transform schwartz space
- 12. Measure Theory and Function Spaces and lebesgue measure theory lp function spaces
- 13. Differential Calculus and Variational Methods and frechet derivative calculus of variations methods
What You Will Learn in Applied Analysisv
Applied Analysis by John K. Hunter and Bruno Nachtergaele is an authoritative, proof-oriented graduate textbook exploring the functional-analytic foundations of applied mathematics and mathematical physics. Structured systematically across 13 core chapters, this volume covers metric and normed spaces, topology, Banach and Hilbert space theory, contraction mappings, bounded linear operators, spectral analysis, Green's functions, distribution theory, Lebesgue measure theory, and variational calculus.
Tailored for graduate mathematics majors, theoretical physicists, and applied researchers, Profs. Hunter and Nachtergaele connect abstract functional analysis with concrete differential and integral equations. Readers are guided step-by-step through Fourier series, operator spectra, Sobolev space concepts, distribution derivatives, and non-linear variational techniques.
Prized for its mathematical depth, logical organization, and theoretical rigor, it stands as one of the best applied analysis textbooks pdf available for study. It systematically equips students and scholars with powerful functional tools for mastering modern applied analysis with confidence.
Book Details & Specifications
Title:
Applied Analysisv by John K. Hunter, Bruno Nachtergaele
Publisher:
World Scientific Publishing Co.
Year:
2001
Pages:
446
Type:
PDF
Language:
English
ISBN-10 #:
9812705430
ISBN-13 #:
9789812705433
License:
Academic Educational Resource (no license claimed)
Amazon:
Amazon
About the Author: John K. Hunter
The author John K. Hunter
and Bruno Nachtergaele are distinguished professors in the Department of Mathematics at the University of California, Davis.
Dr. Hunter is a recognized expert in nonlinear partial differential equations and wave propagation, while Dr. Nachtergaele is a celebrated mathematical physicist specializing in quantum information, operator algebras, and statistical mechanics.
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