Daniel Potts

Eric Chung

Axel Hutt

Charles K. Chui

Jianfeng Cai

Raluca Eftimie

Hong-Kun Xu

Young Shin Aaron Kim

2022 Applied Mathematics and Statistics – Editor’s Pick

Guanrong Chen

This book presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method and an indirect method.

With Real-Time Applications

Kalman Filtering

Qingtang Jiang

This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and “frequency” of the data, providing valuable information for, e.g. data compression and noise removal. Furthermore, a special emphasis is also put on the concept of “wavelets” in connection with the “multi-scale” structure of data-sets. The presentation of the book is elementary and easily accessible, requiring only some knowledge of elementary linear algebra and calculus. All important concepts are illustrated with examples, and each section contains between 10 an 25 exercises. A teaching guide, depending on the level and discipline of instructions is included for classroom teaching and self-study.

Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications

Applied Mathematics

Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.

A Mathematical Tool for Signal Analysis

Wavelets

Subject of multivariate splines presented from an elementary point of view; includes many open problems.

Multivariate Splines

Charles K. Chui

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