Homogeneous Linear Substitutions (Classic Reprint) - Hardcover

Harold Hilton

 
9780484481298: Homogeneous Linear Substitutions (Classic Reprint)

Synopsis

Master the essentials of homogeneous linear substitutions and their powerful tools.

This edition lays out clear definitions, step‑by‑step methods, and practical examples to build a solid foundation in the subject.

Designed for readers of mathematics and applied sciences, the book guides you from basic substitutions to advanced topics like invariant factors, bilinear forms, and orthogonal substitutions. It emphasizes understanding through worked examples and structured explanation, helping you apply the concepts to problems in differential equations, geometry, and algebra.

  • Learn how substitutions are defined, composed, and transformed, with concrete construction rules.
  • Explore products, inverses, and canonical forms to simplify complex substitutions.
  • Study invariant factors, bilinear forms, and the role of orthogonal and Hermitian transformations.
  • See how these ideas apply to solving equations and analyzing geometric and algebraic structures.

Ideal for readers looking to strengthen their theoretical grounding and practical problem‑solving skills in linear algebra and its applications.

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