Linear Algebra in Data Science pdf

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Linear Algebra in Data Science

Peter Zizler, Roberta La Haye


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Linear algebra is foundational to machine learning, computer vision, signal processing, and many other areas of data analysis. Without a deep understanding of vectors, matrices, SVD decomposition, and eigenvalues, it’s nearly impossible to effectively work with ML algorithms and neural networks.
The book "Linear Algebra in Data Science" by Peter Zizler and Roberta La Haye offers a practical guide to linear algebra, focused on real-world data science problems. It covers essential mathematical concepts and their applications in big data analysis, optimization, and machine learning — helping readers both understand ML math and apply it in actual projects.
Download "Linear Algebra in Data Science" in PDF and start mastering linear algebra for Data Science today!

What does this book cover?

  • Core linear algebra concepts: vectors, matrices, determinants
  • Matrix decomposition methods: SVD, LU, QR
  • Eigenvalues and eigenvectors (PCA, LDA, image processing)
  • Linear systems and their solutions in data analysis
  • Orthogonal projections and dimensionality reduction
  • Optimization and gradient methods in machine learning
  • Algorithm implementation using Python (NumPy, SciPy) and MATLAB

Who is "Linear Algebra in Data Science" for?

  • Data analysts and ML specialists: Deepen your understanding of the mathematical foundations behind ML and AI models
  • Developers learning data science: Focus on the practical aspects of linear algebra essential for working with Python, R, and MATLAB algorithms
  • Students and researchers: Detailed theoretical and practical explanations make it suitable for university courses and self-study
  • Engineers and mathematicians: Apply linear algebra to real-world projects involving optimization, data processing, and computer vision

More About the Author of the Book

Peter Zizler, Roberta La Haye

Peter Zizler is a professor of mathematics at Mount Royal University in Calgary, holding a Ph.D. in mathematics with a focus on linear algebra. His research spans a range of areas including linear algebra, Fourier analysis, and wavelet analysis. 

Roberta La Haye is an associate professor of mathematics at Mount Royal University in Calgary. She earned her Ph.D. in mathematics with a specialization in group theory. Her research interests bridge mathematics with visual art and statistics, and she has published in journals covering mathematics, visual arts education, and statistics.

FAQ for "Linear Algebra in Data Science"

Why is linear algebra important for Data Science?

Many ML, neural network, and statistical algorithms are based on linear algebra. Dimensionality reduction (PCA), regression, and clustering all require working with matrices and vectors.

Do I need strong math skills before reading?

Basic algebra and math knowledge is helpful, but Peter Zizler and Roberta La Haye explain complex concepts in an accessible way with practical examples.

Which programming languages are used?

The focus is on Python (NumPy, SciPy, Pandas, Matplotlib) and MATLAB. The principles can also be applied in R or Julia.

Is the book suitable for neural network work?

Yes, it covers matrix decompositions (SVD, PCA), gradient methods, and model weight optimization — all essential for neural networks and deep learning.

Are real data examples included?

Yes, the book includes hands-on data examples from finance, bioinformatics, and computer vision.

Can this book be used in university courses?

Absolutely — it balances theoretical and practical content, making it ideal for students and educators.

Information

Author: Peter Zizler, Roberta La Haye Language: English
Publisher: Birkhäuser; 2024th edition ISBN-13: 978-3031549076
Publication Date: May 15, 2024 ISBN-10: 3031549074
Print Length: 208 pages Category: Data Science Books


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