Introduction to Linear Algebra with Earth Science Applications

C L Loi

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Hardback

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English

C.L. Loi
01 May 2025

Algebra; Applied mathematics; Earth sciences

This is a Linear Algebra textbook specifically designed for students who are majoring in any Earth Science-related subjects like Geophysics and Atmospheric Sciences, and are also interested in Mathematics. With these target readers in mind, we set out to provide an adequate treatment of Linear Algebra concepts that enables them to tackle relevant Earth Science problems. It aims at striking a balance between mathematical theories and physical (mainly Earth Science) applications.

For the first part, it contains a comprehensive review of

Matrix and Vector Operations Vector (Inner Product) Spaces and Linear Transformations Eigenvalues/Eigenvectors and Diagonalization, and more

Meanwhile, the topics of the second part include:

Principal Component Analysis (PCA) Least-square Linear Regression Discrete Fourier Transform (DFT) Markov Chains Matrix Factorization Methods such as Cholesky/L(D)U/SVD Dynamical Systems Continuum Mechanics Data Assimilation

In each chapter, we focus on a selected Linear Algebra topic, motivated by Earth Science examples (if available) and supplemented with Python programming tutorials. At the end of each chapter, a number of exercises (answered, a total of 136) are given for elucidating the concepts and working on Earth Science projects. This book also provides several colored figures for illustration.

By: C L Loi
Imprint: C.L. Loi
Dimensions: Height: 250mm, Width: 176mm, Spine: 48mm
Weight: 1.733kg
ISBN: 9786260139902
ISBN 10: 626013990X
Pages: 912
Publication Date: 01 May 2025
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

Reviews for Introduction to Linear Algebra with Earth Science Applications

""C. L. dedicated tremendous time and efforts in the preparation and writing of this textbook over the past two years. I am truly impressed with his perseverance and the quality of his work... Overall, this is a high-quality, uncommon effort from a very hard-working researcher, intended for Earth Science students but can also benefit those who are looking to learn the fundamental concepts and applications of Linear Algebra. I highly recommend this book and hope you enjoy the reading and grow in your learning!"" Chun-Chieh Wu Chair Professor, Department of Atmospheric Sciences, National Taiwan University ""In addition to a thorough exploration of the mathematical theories, the author also includes many Python programming tutorials, which are immensely helpful for both academic research and practical applications. Whether you are a course instructor or an undergraduate student, this book offers valuable resources to help enhance your skills in both academic and practical settings."" Man Nin Chan Associate Professor, Department of Earth and Environmental Sciences, The Chinese University of Hong Kong