---
title: Wavelets
description: Wavelets are mathematical functions used to divide data into different frequency components. Learners will understand how to perform multi-resolution analysis for signal compression, noise reduction, and image processing.
category: mathematics
subcategory: harmonic-analysis
difficulty: beginner, intermediate, advanced
url: /subject/wavelets
---

# Wavelets

Wavelets are mathematical functions used to divide data into different frequency components. Learners will understand how to perform multi-resolution analysis for signal compression, noise reduction, and image processing.

## Available Resources

2 Books • 1 Websites

## Books

### 1. A First Course on Wavelets

**Author:** Eugenio Hernández, Guido Weiss

Graduate-level text on the mathematical theory of wavelets, built on Fourier analysis and functional analysis. Covers multiresolution analysis, orthonormal wavelet bases, compactly supported wavelets, smoothness and band-limited wavelets, preparing readers for research literature in harmonic analysis.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0849382742?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, harmonic-analysis

### 2. Wavelets: A Mathematical Tool for Signal Analysis

**Author:** Charles K. Chui

Concise text on wavelet analysis for engineers and applied mathematicians. Covers time-frequency localization, the continuous and discrete wavelet transforms, multiresolution analysis, and spline and compactly supported wavelets, explaining how these tools are used to analyze and decompose signals.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0898713846?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, harmonic-analysis

## Websites

### 1. Wolfram MathWorld

**Author:** Eric W. Weisstein

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathworld.wolfram.com

**Tags:** mathematics-reference, encyclopedia, abstract-algebra, number-theory, geometry

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