Mastering Calculus through Practice A Study Guide with over 300 Solved Exercises

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 function...

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Bibliographic Details
Main Authors: Teixeira, Bárbara de Holanda Maia, Capelas de Oliveira, Edmundo (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |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 
250 |a 1st ed. 2021 
260 |a Cham  |b Springer International Publishing  |c 2021, 2021 
300 |a XIV, 348 p. 107 illus  |b online resource 
505 0 |a Preface -- Preliminaries -- Functions -- Limits -- Derivatives -- Integrals -- Brief recap -- Solutions -- Appendix A: Pyramid and inequality -- Appendix B: Sources -- Index 
653 |a Proof theory 
653 |a Mathematics / Study and teaching  
653 |a Functions of real variables 
653 |a Mathematics Education 
653 |a Real Functions 
653 |a Proof Theory and Constructive Mathematics 
700 1 |a Capelas de Oliveira, Edmundo  |e [author] 
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520 |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