Thomas' Calculus: Early Transcendentals goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets. The most significant update to this 15th edition includes new online chapters on Complex Functions, Fourier Series and Wavelets, and the new appendix on Optimization. These chapters can provide material for students interested in more advanced topics. The details are outlined below in the chapter descriptions. We have also made the following updates: • Many updated graphics and figures to bring out clear visualization and mathematical correctness. • Many wording clarifications and revisions. • Many instruction clarifications for exercises, such as suggesting where the use of a calculator may be needed. • Notation of inverse trig functions favoring arcsin notation over sin−1, etc.
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