A Short Course in the Theory of Determinants by Gifford L. Weld

About this book :-
"A Short Course in the Theory of Determinants" by "Gifford Laenas Weld" is a concise and focused mathematics textbook designed to introduce the fundamental theory of "determinants" in a clear and systematic way. Written in the early 20th century, the book reflects a classical, proof-based approach to algebra, aiming to build strong conceptual understanding rather than emphasize computation alone. The book covers the basic definitions, properties, and operations of determinants, including expansion methods, identities, and their role in solving systems of linear equations. Weld presents the material in a logical sequence, making it suitable for students encountering determinant theory as part of higher algebra or early "linear algebra" studies. The exposition is direct and accessible, without unnecessary abstraction. Intended mainly for undergraduate students, "A Short Course in the Theory of Determinants" serves as a compact reference and learning text. While modern courses often integrate determinants into broader matrix theory, Weld’s book remains valuable for understanding the classical foundations of determinants and their importance in the historical development of algebra.

Book Detail :-
Title: A Short Course in the Theory of Determinants by Gifford L. Weld
Publisher: Macmillan and Co.
Year: 1893
Pages: 274
Type: PDF
Language: English
ISBN-10 #: 1112283072
ISBN-13 #: 978-1112283079
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Gifford Laenas Weld (1877–1951) was an American mathematician and educator known for his clear and practical approach to teaching "algebra". He focused on presenting mathematical ideas in a structured and accessible way, making complex topics easier for students to understand. Weld is best remembered for his work on "determinants" and his contribution to early "linear algebra" education. His writing emphasized "mathematical foundations", logical clarity, and effective "undergraduate teaching", leaving a lasting impact through his textbooks.

Book Contents :-
1. The Origin and Notation of Determinants 2. General Definition of a Determinant 3. Properties of Determinants 4. Determinant Minors 5. Applications of Determinants to Elementary Algebra 6. Multiplication of Determinants and Reciprocal Determinants * Reciprocal Determinants 7. Determinants of Special Forms * Symmetrical Determinants * Skew Determinants * Pfaffians * Alternants 8. Jacobians, Hessians, and Wronskians * Jacobians * Hessians * K-functions * Wronskians 9. Linear Transformations

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