Articles liés à A College Algebra (Classic Reprint)

A College Algebra (Classic Reprint) - Couverture souple

Livre 28 sur 63: Ams Chelsea Publishing

Henry Burchard Fine

 
9781330044759: A College Algebra (Classic Reprint)

Synopsis

Master algebra with clear explanations, step-by-step methods, and practical examples.

This edition covers core topics in college algebra, including quadratic equations, their roots, and how the discriminant shapes real and complex solutions. It also introduces how roots relate to coefficients and outlines foundational results like the Fundamental Theorem of Algebra. The material is presented with worked examples and a focus on understanding concepts alongside techniques.



Use this as a solid guide for learning how to solve equations, analyze functions, and apply algebra to problem solving. The coverage blends theory with applicable methods to build a strong foundation for further study in mathematics.




  • Understand how to determine the nature of roots using the discriminant and when roots are real or imaginary.

  • Learn the relationship between roots and coefficients in quadratic equations.

  • Explore foundational results, including the Fundamental Theorem of Algebra, through guided reasoning.

  • Work through solved examples that illustrate methods for solving and analyzing equations and expressions.



Ideal for readers starting college algebra or seeking a clear, practical reference for essential techniques.

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Présentation de l'éditeur

This book by the Chairman of the Mathematics Department at Princeton University covers everything that a student is likely to encounter in his school and college courses. This is the great classic work upon which many if not most of the more modern textbooks derive their source materials. It is divided into two parts: A preliminary part devoted to the number system of algebra and a principal part devoted to algebra itself. Nowadays, most colleges and universities are requiring their students to pay more than $200 to buy each of their basic math books. Even some high schools give as required reading a list of books each costing over $200 each. Just to make sure that the students cannot get away from this expense by buying used books, the publishers juggle a few of the pages annually and come out each year with a “new edition”. The result is our students today are spending more than one thousand dollars each semester to buy their basic textbooks. This is of course all supported by federally guaranteed “student loans”, which few of our students will ever be able to pay back and so the bill goes to the taxpayers and to the increase of the federal deficit This book is reprinted in the hope of restoring sanity to the college textbook process. As there is nothing in the most recent and up-to-date college and high school algebra textbooks that is not also in this much cheaper book, we are hoping that today's college administrators will show some mercy on their students and require this book instead.

Biographie de l'auteur

Henry Burchard Fine was born in Chambersburg, Pennsylvania on September 14, 1858. His faculty adviser was Felix Klein, famous for the Kline Bottle. At Princeton, he was assistant professor (1885-1890), then became professor in 1890, and he also was dean of the faculty from 1903–1912 and dean of the department of science after 1909. He was president of the American Mathematical Society in 1911-12. He wrote: Euclid's Elements (1891) The Number System of Algebra (1891; second edition, 1903). A College Algebra (1904) Coördinate Geometry, with Henry Dallas Thompson (1909) Calculus (1927) His College Algebra was not found easy by beginning students who, when first confronted with it, according to a Princetonian of that era, “decided that no one could understand it but Professor Fine and God.'' When the students of the following year were treated to a revised edition “they agreed that comprehension was probably now limited to Professor Fine alone.'” Fine Hall, the building housing the Mathematics Department at Princeton, was named after him after his death in recognition of his key role in developing the mathematics faculty. Henry Burchard Fine died at age 70 on December 22, 1928, when he was struck by a car while riding his bicycle on Nassau Street in Princeton, New Jersey.

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