Price loading...

Fourier Analysis and Distributions: A First Course with Applications: 79 (Texts in Applied Mathematics, 79)

Functional Analysis

Price data last checked 103 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

This comprehensive book offers an accessible introduction to Fourier analysis and distribution theory, blending classical mathematical theory with a wide range of practical applications. Designed for undergraduate and beginning Master's students in mathematics and engineering. Key Features: Balanced Approach: The book is structured to include both theoretical and application-based chapters, providing readers with a solid understanding of the fundamentals alongside real-world scenarios. Diverse Applications: Topics include Fourier series, ordinary differential equations, AC circuit calculations, heat and wave equations, digital signal processing, and image compression. These applications demonstrate the versatility of Fourier analysis in solving complex problems in engineering, physics, and computational sciences. Advanced Topics: The text covers convolution theorems, linear filters, the Shannon Sampling Theorem, multi-carrier transmission with OFDM, wavelets, and a first insight into quantum mechanics. It also introduces readers to the finite element method (FEM) and offers an elementary proof of the Malgrange-Ehrenpreis theorem, showcasing advanced concepts in a clear and approachable manner. Practical Insights: Includes a detailed discussion of Hilbert spaces, orthonormal systems, and their applications to topics like the periodic table in chemistry and the structure of water molecules. The book also explores continuous and discrete wavelet transforms, providing insights into modern data compression and denoising techniques. Comprehensive Support: Appendices cover essential theorems in function theory and Lebesgue integration, complete with solutions to exercises, a reference list, and an index. With its focus on practical applications, clear explanations, and a wealth of examples, Fourier Analysis and Distributions bridges the gap between classical theory and modern computational methods. This text will appeal to students and practitioners looking to deepen their understanding of Fourier analysis and its far-reaching implications in science and engineering.

Product Specifications

Format: hardcover
ASIN: 3031813103
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 08 April 2025
Listed Since: 15 November 2024

Barcode

No barcode data available

Fourier Analysis and Distributions: A First Course with Applications: 79 (Texts in Applied Mathematics, 79)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Applied Fourier Analysis: From Signal Processing to Medical Imaging

A First Course in Wavelets with Fourier Analysis

Fourier Series, Fourier Transform and Their Applications to Mathematical Physics: 197 (Applied Mathematical Sciences, 197)

Fourier Series, Fourier Transform and Their Applications to Mathematical Physics: 197 (Applied Mathematical Sciences, 197)

Guide To Distribution Theory And Fourier Transforms, A

An Introduction to Fourier Analysis

Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics)

An Introduction to Fourier Analysis

Methods of Applied Mathematics with a Software Overview (Applied and Numerical Harmonic Analysis)

Fourier Analysis and Approximation of Functions

Distributions, Partial Differential Equations, and Harmonic Analysis (Universitext)

Advanced Mathematics for Engineers and Physicists

The Hilbert Transform of Schwartz Distributions and Applications: 27 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Lectures on the Fourier Transform and Its Applications (Pure and Applied Undergraduate Texts)

Construction of Wavelets Through Walsh Functions (Industrial and Applied Mathematics)

Principles of Fourier Analysis (Textbooks in Mathematics)

Fourier Analysis – An Introduction: 1 (Princeton Lectures in Analysis)

Fourier Analysis―A Signal Processing Approach

Wavelet Theory: An Elementary Approach with Applications

Fourier Analysis (Graduate Studies in Mathematics)

A First Course on Wavelets (Studies in Advanced Mathematics)

Methods of Applied Mathematics with a Software Overview (Applied and Numerical Harmonic Analysis)

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

Distribution, Integral Transforms and Applications: 7 (Analytical Methods and Special Functions)