Title: The Theory of Substitution and Its Applications to Algebra (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 026024905X
ISBN 13: 9780260249050
Binding: HRD
Condition: New
Weight: 658 grams

About this title

Synopsis

Explore the fundamentals of substitutions and their role in solving algebraic equations.

This edition presents the principles behind the theory of substitutions, the study of symmetrical and multi-valued functions, and their connection to groups of substitutions. It traces how these ideas fit into the broader quest to understand solvable equations.

Written for readers with a solid math background, the book combines historical context with clear development of the theory. It outlines how, from basic notions of symmetry and permutation, one reaches the structure of groups and their actions on function values, leading toward resolvents and solvable cases in algebra.

Foundations of the theory of substitutions and symmetric properties
How groups of substitutions relate to multi-valued functions and their values
Applications to equations of the second, third, and fourth degrees and to Abelian and Galois theory
Connections between algebraic relations, resolvents, and solvability criteria

Ideal for readers of mathematical history and advanced algebra who want a structured view of substitution theory and its algebraic applications.

"About this title" may belong to another edition of this title.

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