Designed for economics, business, or social or behavioral science majors in a one- or two-term course, Brief Calculus for the Business, Social, and Life Sciences presents mathematics in a clear and accessible language. Engaging, real-world examples and real data applications make calculus relevant, and the easy-to-read conversational style of the text evokes the one-on-one communication of a personalized tutorial session without sacrificing depth of coverage or intellectual rigor. The revised and updated Third Edition of this popular text includes a new, four-step problem-solving method that allows students to independently find solutions to a broad spectrum of problem sets.Rich in pedagogical features, this text includes comprehensive exercise sets, chapter openers that outline key concepts for each chapter, and Flashback features that revisit and reinforce content from previous chapters. The Third Edition contains all-new exercises, updated real-world data for modeling applications, and Section Objectives that provide students with a clear understanding of learning goals for each section. The text is packaged with a full ancillary suite of instructor resources, including a test bank, lecture outlines in PowerPoint format, WebAssign, and a Complete Solutions Manual additional student resources include a Student Solutions Manual and access to the student companion website. Brief Calculus for the Business, Social, and Life Sciences is a comprehensive, student-friendly text that will gently push students to new levels of independent problem-solving.Key features of the new Third Edition include:•Optional highlighted Technology Option sections that point out how solutions can be found using a graphing calculator•From Your Toolbox feature that reinforces previously introduced material•Real data applications, fully revised and updated for the Third Edition, that keep problems relevant and interesting•Comprehensive exercise sets, including Concept and Writing Exercises, Vocabulary Exercises, and Application Exercises•Clearly defined four-step problem-solving method new to the Third Edition•User-friendly, conversational approach that mimics the style of an individualized tutorial session •Chapter Openers and Section Objectives that clearly outline key concepts for each chapter and section•Section Projects that encourage further study, reflection, and independent research•A full suite of ancillary student and instructor resources
This book addresses the problem of articulatory speech synthesis based on computed vocal tract geometries and the basic physics of sound production in it. Unlike conventional methods based on analysis/synthesis using the well-known source filter model, which assumes the independence of the excitation and filter, we treat the entire vocal apparatus as one mechanical system that produces sound by means of fluid dynamics. The vocal apparatus is represented as a three-dimensional time-varying mechanism and the sound propagation inside it is due to the non-planar propagation of acoustic waves through a viscous, compressible fluid described by the Navier-Stokes equations. We propose a combined minimum energy and minimum jerk criterion to compute the dynamics of the vocal tract during articulation. Theoretical error bounds and experimental results show that this method obtains a close match to the phonetic target positions while avoiding abrupt changes in the articulatory trajectory. The vocal folds are set into aerodynamic oscillation by the flow of air from the lungs. The modulated air stream then excites the moving vocal tract. This method shows strong evidence for source-filter interaction. Based on our results, we propose that the articulatory speech production model has the potential to synthesize speech and provide a compact parameterization of the speech signal that can be useful in a wide variety of speech signal processing problems. Table of Contents: Introduction / Literature Review / Estimation of Dynamic Articulatory Parameters / Construction of Articulatory Model Based on MRI Data / Vocal Fold Excitation Models / Experimental Results of Articulatory Synthesis / Conclusion
