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OverviewThis book is an introduction to the theory of calculus in the style of inquiry-based learning. The text guides students through the process of making mathematical ideas rigorous, from investigations and problems to definitions and proofs. The format allows for various levels of rigour as negotiated between instructor and students, and the text can be of use in a theoretically oriented calculus course or an analysis course that develops rigor gradually. Material on topology (e.g. of higher dimensional Euclidean spaces) and discrete dynamical systems can be used as excursions within a study of analysis or as a more central component of a course. The themes of bisection, iteration, and nested intervals form a common thread throughout the text. The book is intended for students who have studied some calculus and want to gain a deeper understanding of the subject through an inquiry-based approach. Full Product DetailsAuthor: Alejandro A. Uribe , Daniel A. VisscherPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.350kg ISBN: 9781470452704ISBN 10: 1470452707 Pages: 182 Publication Date: 30 July 2020 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReal numbers and sequences An introduction to point-set topology and continuity Differential calculus Integral calculus Discrete dynamical systems Iterating algorithms and represenations of real numbers Appendix A: Definitions, proofs, and mathematical language Appendix B: Sets and functions between sets Appendix C: Graphs Appendix D: Hints to selected problems Index.ReviewsAuthor InformationAlejandro Uribe A., University of Michigan Ann Arbor, MI, USA Daniel A. Visscher, Ithaca College, NY, USA. Tab Content 6Author Website:Countries AvailableAll regions |
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