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220104 ||| eng |
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|a 9783030833404
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|a Teixeira, Bárbara de Holanda Maia
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|a Mastering Calculus through Practice
|h Elektronische Ressource
|b A Study Guide with over 300 Solved Exercises
|c by Bárbara de Holanda Maia Teixeira, Edmundo Capelas de Oliveira
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|a 1st ed. 2021
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|a Cham
|b Springer International Publishing
|c 2021, 2021
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300 |
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|a XIV, 348 p. 107 illus
|b online resource
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|a Preface -- Preliminaries -- Functions -- Limits -- Derivatives -- Integrals -- Brief recap -- Solutions -- Appendix A: Pyramid and inequality -- Appendix B: Sources -- Index
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653 |
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|a Proof theory
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653 |
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|a Mathematics / Study and teaching
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653 |
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|a Functions of real variables
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653 |
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|a Mathematics Education
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653 |
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|a Real Functions
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653 |
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|a Proof Theory and Constructive Mathematics
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700 |
1 |
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|a Capelas de Oliveira, Edmundo
|e [author]
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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|a 10.1007/978-3-030-83340-4
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|u https://doi.org/10.1007/978-3-030-83340-4?nosfx=y
|x Verlag
|3 Volltext
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|a 515.8
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|a This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques. It opens with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus, extending toward functions, limits, derivatives, and integrals. Over 300 solved problems are approached with a simple, direct style, ordered in a way that positively challenges students and helps them build self-confidence as they progress. A special final chapter adds five carefully crafted problems for a comprehensive recap of the work. The book is aimed at first-year students of fields in which calculus and its applications have a role, including Science, Technology, Engineering, Mathematics, Economics, Architecture, Management, and Applied Social Sciences, as well as students of Quantitative Methods courses. It can also serve as rich supplementary reading for self-study
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