A Quick Steep Climb Up Linear Algebra by Stephen Davies
A Quick Steep Climb Up Linear Algebra - Table of Contents
- 1. Introduction
- 2. Vectors and Space Geometry
- 3. Linear Independence and Bases
- 4. Matrices and Systems
- 5. Linear Transformations
- 6. Matrix Multiplication and Operations
- 7. Practical Applications
- 8. Eigenanalysis (Eigenvalues & Eigenvectors)
- 9. Eigenapplications in Real Systems
What You Will Learn in A Quick Steep Climb Up Linear Algebra
A Quick Steep Climb Up Linear Algebra by Stephen Davies is an authoritative, highly accessible introductory textbook published by the Mathematical Association of America (MAA Press) that provides undergraduate students with a fast-paced yet rigorous immersion into core linear algebra concepts. This comprehensive volume guides readers through vector operations, linear independence, basis vectors, matrix structures, linear transformations, matrix multiplication, matrix applications, eigenvalues, eigenvectors, and practical eigenanalysis applications with exceptional clarity and pedagogical momentum.
Designed for undergraduate mathematics majors, computer science students, data science practitioners, and engineering undergraduates, this foundational text bridges geometric intuition directly with computational linear algebra algorithms. Davies details step-by-step mathematical approaches to visualizing vector spaces, computing matrix products, analyzing transformation matrices, and implementing eigenanalysis in real-world systems. Whether you are preparing for advanced coursework in differential equations, machine learning, or scientific computing, this book offers an indispensable roadmap.
Recognized globally for its concise, active-learning structure and accelerated approach, it stands as one of the best introductory books for learning linear algebra efficiently. By connecting core vector space principles directly to eigenanalysis and practical applications, it serves as an essential tool for mastering linear algebra fundamentals with confidence.
Book Details & Specifications
Title:
A Quick Steep Climb Up Linear Algebra by Stephen Davies
Publisher:
Blurb, Incorporated
Year:
2021
Pages:
280
Type:
PDF
Language:
English
ISBN-10 #:
1034259792
ISBN-13 #:
978-1034259794
License:
CC BY-SA 4.0
Amazon:
Amazon
About the Author: Stephen Davies
The author Stephen Davies
is Professor of Computer Science at the University of Mary Washington, widely recognized for his work in data science, computer systems, and innovative mathematical pedagogy. He has authored multiple popular textbooks celebrated for making technical topics accessible, engaging, and directly applicable.
Through A Quick Steep Climb Up Linear Algebra, Davies delivers a streamlined, highly effective approach to matrix theory and vector spaces. His clear geometric explanations, well-crafted problem sets, and focus on practical application make this text a classic self-study reference for introductory linear algebra trusted by students and educators worldwide.
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