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Calculus Problems

  • Marco Baronti
  • Filippo De Mari
  • Robertus van der Putten
  • Irene Venturi

Part of the UNITEXT book series (UNITEXT, volume 101)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 101)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 1-28
  3. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 29-40
  4. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 41-51
  5. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 53-64
  6. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 65-87
  7. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 89-103
  8. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 105-130
  9. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 131-145
  10. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 147-165
  11. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 167-189
  12. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 191-216
  13. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 217-235
  14. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 237-258
  15. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 259-273
  16. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 275-296
  17. Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
    Pages 297-306
  18. Back Matter
    Pages 307-366

About this book

Introduction

This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. 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.

Keywords

Calculus Mathematical Analysis Ordinary Differential Equations Real variable Solved Exercises

Authors and affiliations

  • Marco Baronti
    • 1
  • Filippo De Mari
    • 2
  • Robertus van der Putten
    • 3
  • Irene Venturi
    • 4
  1. 1.Dipartimento di MatematicaUniversità di GenovaGenovaItaly
  2. 2.Dipartimento di MatematicaUniversità di GenovaGenovaItaly
  3. 3.DIMEUniversità di GenovaGenovaItaly
  4. 4.Dipartimento di MatematicaUniversità di GenovaGenovaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15428-2
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15427-5
  • Online ISBN 978-3-319-15428-2
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site