num_pages: 214
description: A book about complex polynomial equations, mostly in one variable. Based upon a course the author gave for a number of years at the University of Iowa.1. Complex numbers2. General theorems on algebraic equations3. Preliminary examination of an equation4. Elementary methods of solution5. Cubic and quartic equations6. Theorems of Sturm and Budan7. Numerical approximation to the roots8. Determinants9. Simulteanous linear equations10. Symmetric functions11. Resultants, discriminants, and elimination12. The Graeffe method13. Appendix: The highest common factor of two polynomials14. Appendix: Unique factorization15. Appendix: The derivative and Taylor's series16. Appendix: Cube roots17. Appendix: Special cases of homogeneous linear equations18. Appendix: Remarks on elimination19. Appendix: A supplement to Horner's method
language: English
title: Introduction to the theory of equations
publisher: Ginn and Company