An Elementary Treatise on Determinants by Lewis Carroll
An Elementary Treatise on Determinants - Table of Contents
- 1. Laws of Arrangement
- 2. Analysis of Determinants
- 3. Analysis of Equations
- 4. Tests for Consistency of Equations
- 5. Analysis of Blocks
- 6. Tests for Evanescence of Blocks
- 7. Geometrical Analysis
- 8. Geometrical Tests
- A1. Method of analysing a given set of simultaneous linear equations
- A2. Arithmetical computation of determinants
- A3. Algebraical proof of the method of condensation
- A4. Application of the method of condensation to the solution of simultaneous linear equations
- A5. Solution of constructing a square block whose determinant vanishes
- Tabular View of Analysis of Equations
- Algebraical and Geometrical Formulae
What You Will Learn in An Elementary Treatise on Determinants
An Elementary Treatise on Determinants: With Their Application to Simultaneous Linear Equations and Algebraical Geometry by Lewis Carroll (Charles Lutwidge Dodgson) is a landmark 19th-century mathematical work offering a structured approach to matrix theory and linear algebra. Designed for scholars of classical mathematics, this treatise serves as a primary historical guide for elementary treatise on determinants problem solving practice.
The book systematically covers properties of determinants, algorithms for condensation, systems of simultaneous linear equations, and functional block transformations. By introducing original computational techniques alongside rigorous algebraic proofs, Carroll enables readers to execute essential determinant evaluation algorithm derivations with absolute structural precision.
Valued by researchers and historians of mathematics for its unique methodology, this volume remains an insightful entry in early linear algebra literature. Carroll’s clear, logical formulation arms students with foundational principles necessary for mastering classical determinant theory principles across pure mathematics.
Book Details & Specifications
Title:
An Elementary Treatise on Determinants by Lewis Carroll
Publisher:
Macmillan
Year:
1867
Pages:
164
Type:
PDF
Language:
English
ISBN-10 #:
1294801066
ISBN-13 #:
978-1294801061
License:
Public Domain Work
Amazon:
Amazon
About the Author: Lewis Carroll
The author Lewis Carroll
(pen name of Charles Lutwidge Dodgson) was a distinguished mathematician and logic lecturer at Christ Church, Oxford, widely celebrated for both his literary classics and pioneering works in symbolic logic and determinant algebra.
Throughout his academic career at Oxford, Dodgson authored several innovative mathematical texts, providing enduring classical algebra determinant study guides for students and historians alike.
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