Excerpt from Advanced Algebra
This text contains essentially the material of the chapters on Algebra in the author's Advanced Algebra and Trigonometry. Some matter has been added and some, deleted, the form of presentation has been altered in a number of places, many of the exercises have been changed, and all the figures have been te drawn.
The first chapter and portions of the next three chapters are reviews of elementary algebra and are intended to make a close connection with the work of the high school. The preparation of the students in the average freshman class varies so greatly that such reviews are almost indispensable to establish a common basis for further progress.
Graphic methods are introduced early and freely used. This is done both for the immediate utility of these methods and to serve as an introduction to Analytical Geometry.
Numerous simple applications are contained in the exercises and problems, which will serve to establish some connection between theory and practice. Logarithms are introduced in Chapter III, so as to make this method of computation available, early in the course, for the numerical valuation of unknowns from given data.
It is hoped that in the presentation of the theory the require ments of rigor are met satisfactorily so far as that can be done in an elementary course. No effort is made to prove everything, but that which is not proved is clearly pointed out and included in the definitions or assumptions, or excluded from the range of application of the theory.
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Paperback. Condition: New. Print on Demand. This book explores the intricacies of algebra, a branch of mathematics renowned for its use of symbols to represent unknown quantities and relationships between them. As an integral part of our quantitative understanding of the world, algebra extends arithmetic operations to include exponents, radicals, logarithms, and more, revealing the patterns and correlations found in nature and human endeavors. The author delves into the historical development of algebra, shedding light on its evolution from ancient applications in geometry to become the abstract and versatile tool we recognize today. Along this journey, readers are introduced to the fundamental theorems and concepts of algebra, such as the relationship between exponents and logarithms, the properties of polynomials, and the behavior of functions. Through clear explanations and illustrative examples, the author demonstrates how algebra has revolutionized disciplines ranging from physics and engineering to finance and biology. This book's in-depth exploration of algebraic concepts and their applications is a valuable resource for students, educators, and anyone seeking to deepen their understanding of this essential mathematical discipline. 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 # 9780282771584_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282771584
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282771584
Quantity: 15 available