Ebook: Applied Analysis

Cover; Title Page; Copyright Page; Dedication; Preface; Contents; Bibliography; Introduction; 1. Pure and applied mathematics; 2. Pure analysis, practical analysis, numerical analysis; Chapter I: Algebraic Equations; 1. Historical introduction; 2. Allied fields; 3. Cubic equations; 4. Numerical example; 5. Newton's method; 6. Numerical example for Newton's method; 7. Homer's scheme; 8. The movable strip technique; 9. The remaining roots of the cubic; 10. Substitution of a complex number into a polynomial; 11. Equations of fourth order; 12. Equations of higher order; 13. The method of moments.;Basic text for graduate and advanced undergraduate deals with search for roots of algebraic equations encountered in vibration and flutter problems and in those of static and dynamic stability. Other topics devoted to matrices and eigenvalue problems, large-scale linear systems, harmonic analysis and data analysis, more.