Advertisement

© 2016

Calculus Problems

Benefits

  • 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

Textbook

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

  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

About the authors

Marco Baronti was born in Genova in 1956. Since 1990 he is Associate Professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Functional Analysis and in particular in Geometry of Banach Spaces. 

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

Industry Sectors
Aerospace
Finance, Business & Banking
IT & Software