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Search - Intermediate Algebra

Intermediate Algebra
Author: William L. Hart

INTERMEDIATE ALGEBRA FOR COLLEGES BY WILLIAM L. HART PREFACE: THIS BOOK offers a collegiate substitute for third semester high school algebra. The text was designed for a college student who will study it either 1 as a preliminary to taking college algebra, or 2 as terminal work hi algebra which is intended as a prerequisite for ele mentary cou... more »rses in various fields of natural or social science, or in business administration. A suitable selection of content from the book would provide a satisfactory algebraic foundation for a first course in trigonometry or in the mathematics of investment. In the case of a student of the assumed preparation, the text provides sufficient material for a substantial course utilizing from 40 to 60 class hours. The plan of the text was based on the assumption that the typical student involved is of a mature age but studied his elementary algebra so long ago that practically all fundamentals must be taught as if they were relatively new material for him. Hence, the early chapters of the book present a mature but frankly elementary treat ment of the foundations of algebraic technique with a generous amount of discussion and problem material. Also, appropriate refresher work on arithmetic is provided incidentally hi the algebraic problems and explicitly in an early optional chapter devoted to computation. The tempo of the discussion in the text is gradually increased until, in the later chapters, distinctly collegiate speed is attained so that the student will find it easy to make the transition into a substantial second course devoted to college algebra. The text makes no attempt to present material which custom dictates as primarily within the sphere of college algebra, although such material frequently may enter the most substantial courses in third semester algebra at the secondary level. However, in the interest of efficiency and math ematical simplicity, the terminology and general viewpoint of the text is distinctly collegiate. Emphasis is laid on the logical sequence of topics, accuracy of definitions, and the completeness of proofs. vi PREFACE SPECIAL FEATURES Adult nature of the presentation. The discussion in the text is couched at a level suitable to the maturity of college students. Hence, the available space and assumed class time are utilized mainly to explain and illustrate the mathematical principles involved and only the necessary minimum attention is devoted to artificial mo tivation of the type which might properly be expanded for younger students. Terminology. Particular emphasis is given to the language con cerning variables, functions, equations, and the most elementary aspects of analytic geometry because of the importance of this vo cabulary in fields of application which the students will enter in college. The technical vocabulary of the algebraic content is limited by excluding terms which are of small or doubtful utility. Illustrative material. Extensive use is made of illustrative ex amples to introduce new theory, to recall previous knowledge, and to furnish models for the students solutions of problems. Emphasis on development of skill in computation. The viewpoint is adopted that the student needs refresher training in the operations of arithmetic, as well as new mature appreciation of various features of computation. Hence, work with fractions and decimals is intro duced quickly, and substantial early sections are devoted to a dis cussion of approximate computation. Also, the exercises and applica tions continue to demand computing skill throughout the text, and the chapter on logarithmic computation is made very complete. Supplementary content...

ISBN-13: 9781406716160
ISBN-10: 1406716162
Publication Date: 3/15/2007
Pages: 324
Rating:

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Publisher: Kennelly Press
Book Type: Paperback
Members Wishing: 0
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