Excerpt from The Theory of Equations
We shall be employed mainly with such algebraical func tions as are rational and integral. By a rational function of a quantity is meant one which contains that quantity in a rational form only; that is, a form free from fractional indices or radical signs. By an integral function of a quantity is meant one in which the quantity enters in an integral form only; that is, never in the denominator of a fraction. The following expres sion, for example, in which n is a positive integer, is a rational and integral algebraical function of x.
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Paperback. Condition: New. Print on Demand. This book presents an engaging exploration of advanced algebra with a focus on higher equations. Beginning with a thorough examination of polynomials, it elucidates the concepts of algebraic and numerical equations, establishing a strong foundation for further study. The author adeptly demonstrates the connection between the roots and coefficients of equations, delving into the existence of roots and the distinction between real and imaginary solutions. Complex numbers are introduced seamlessly, expanding the scope of the discussion. This book invites readers to navigate the complexities of equations, providing a comprehensive guide to solving cubic and biquadratic equations while also exploring symmetric functions and other advanced topics. Ultimately, the insights provided in this book offer a deeper understanding of the rich tapestry of higher algebra, its historical significance, and its enduring relevance in addressing complex mathematical challenges. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332916795_0
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