Introductory Topics

This outstanding three-title series prepares college-bound ESL students to understand academic lectures in English. Each text equips students for the challenges of college and university study by helping them listen selectively, take notes, review key ideas, retain information, and apply what they have learned. Twelve recorded lectures in each level are performed in lively and natural styles to provide a motivating introduction to academic listening. Lectures cover a wide range of thought-provoking contemporary topics. Controlled, realistic note-taking practice, ample pre-listening activities, vocabulary preview, post-lecture tests, and a wealth of illustrations also aid student understanding. Audiocassettes offer full lectures, presented both divided into parts and in their entirety. Each book offers the following features: -- Topic preview -- Vocabulary preview -- Identifying main ideas and supporting details -- Note-taking skills -- Review and post-listening tests -- Application of ideas through post-listening activities

An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.