An introduction to the modern theory of equations

Florian Cajori9781418165550, 1418165557, 0486621847

An Unabridged Printing: Some Elementary Properties Of Equations – Elementary Transformations Of Equations – Location Of The Roots Of An Equation – Approximation To The Roots Of Numerical Equations – The Algebraic Solution Of The Cubic And Quartic – Solution Of Binomial Equations And Reciprocal Equations – Symmetric Functions Of The Roots – Elimination – The Homographic And The Tschirnhausen Transformations – On Substitutions – Substitution Groups – Resolvents Of Lagrange The Galois Theory Of Algebraic Numbers, Reducibility – Normal Domains – Reduction Of The Galois Resolvent By Adjunction – The Solution Of Equations Viewed From The Standpoint Of The Galois Theory – Cyclic Equations – Abelian Equations – The Algebraic Solution Of Equations – Answers – Comprehensive Index