期刊全称 | 100+1 Problems in Advanced Calculus | 期刊简称 | A Creative Journey t | 影响因子2023 | Paolo Toni,Pier Domenico Lamberti,Giacomo Drago | 视频video | | 发行地址 | Convenes problems in Advanced Calculus with solutions that favor creativity.Covers all the classical topics seen in first-year Calculus and Mathematical Analysis courses.Offers a theoretical backgroun | 学科分类 | Problem Books in Mathematics | 图书封面 |  | 影响因子 | This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination..In this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l’Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found atthe end of each chapter..Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this | Pindex | Textbook 2022 |
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