Overview
- Several step-by-step (and absolutely to-the-point!) tutorials help the reader to more quickly learn the material
- Offers solved problems that are similar to those assigned in actual tests
- Combines a self-contained approach with accessible solved problems
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT, volume 101)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book, intended as a practical working guide for calculus students, includes 450 exercises. It is designed for undergraduate students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, and will greatly benefit anyone seeking a problem-solving approach to calculus. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter.
A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book’s coverage.
Though the book’s primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.
Authors and Affiliations
About the authors
Filippo De Mari was born in Genova in 1959. In 1987 he received his Ph.D. from Washington University in St. Louis, USA. Since 1998 he is Associate Professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Harmonic Analysis, Representation Theory and Lie Groups.
Robertus van der Putten was born in Sanremo in 1959. In 1989 he received his Ph.D. from the University of Milan. Since 1990 he is Researcher in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Calculus of Variations.
Irene Venturi was born in Viareggio in 1978. In 2009 she received her Ph.D. from the University of Genova and in 2011 a Masters in Security Safety and Sustainibility in Transportation Systems. She is a teacher in Mathematics and has several editorial collaborations.
Bibliographic Information
Book Title: Calculus Problems
Authors: Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-319-15428-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-15427-5Published: 14 November 2016
eBook ISBN: 978-3-319-15428-2Published: 01 November 2016
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XIII, 366
Number of Illustrations: 132 b/w illustrations
Topics: Analysis, Calculus of Variations and Optimal Control; Optimization