Calculus with Analytic Geometry [antikvár]

PREFACE This text is designed for a standard calculus sequence for students in the physical or social sciences. Such a sequence typically spans three semesters or four quarters. Students are expected to have a background of algebra and geometry, including some analytic geometry. The changes in this third edition, involving topic presentation and order, are substantial. Several recommendations arising from the Tulane conference on calculus have been implemented, including ¦ a complete dictionary of functions, ¦ early treatment of the trigonometric, exponential, and logarithm functions, ¦ a graphically oriented approach, ¦ calculator and computer exercises vi'ith references to software. Some Features Retained from the Previous Edition ¦ Informal expository style ¦ Intuitive explanations preceding formal definitions and theorems ¦ Standard notation and topic coverage ¦ Abundance of artwork, worked-out examples, and exercises ¦ Section summaries to emphasize main results and aid review ¦ Cleariy marked exercises for a calculator or computer ¦ Answers to odd-numbered problems Features New to This Third Edition ¦ The precalculus review in Chapter 1 closes with a complete dictionary of functions. For many students, the precalculus review now will not be necessary; occasional reference to the dictionary of functions will suffice. ¦ The study of limits in Chapter 2 has been streamlined. The formal e,5-definition has been delayed to optional Section 2.5, which also includes proofs of the sum, product, and quotient properties of limits. ¦ The base e for the exponential function is given a graphically oriented presentation in Chapter 3. The importance of the exponential function in some rate-of-growth situations is explained at once.