The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms (Classic Reprint) Kindle Edition

Introduction to a classic text on algebra and equations that blends modern methods with foundational theory. This edition presents the first volume of two, offering an accessible path into the theory of binary algebraic forms and the broader study of equations. It pairs worked examples with clear explanations, guiding beginners through determinants, symmetric functions, and the transformation of polynomials and equations. The work emphasizes practical algebraic solutions while highlighting connections to trigonometry and analytic geometry, and it introduces complex numbers as part of the broader treatment. Ideal for students and readers who want a solid foundation in both the classical and modern approaches to higher algebra.The first volume gathers material usually found in elementary treatments and adds a short chapter on complex numbers. It sets up the tools and ideas used in later parts of the series, including how to handle elimination, linear transformation, and covariants and invariants in a beginner-friendly way. The authors draw on a wide range of sources and present a practical, example-rich approach to algebra and its applications. Clear coverage of polynomials, roots, and transformations of equations Introduction to determinants and their role in solving algebraic problems Foundations for covariants, invariants, and symmetric functions Early chapters connect theory to numerical and geometric examplesIdeal for readers of introductory higher algebra, students preparing for advanced coursework, and anyone exploring the historical development of the theory of equations. Read more