Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-30
  3. Pages 31-63
  4. Pages 167-222
  5. Pages 299-353
  6. Pages 355-385
  7. Back Matter
    Pages 423-433

About this book

Introduction

The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution.

Keywords

Integral calculus Mathematical Analysis PDE calculus differential and integral calculus differential equation ordinary differential equation partial differential equation

Authors and affiliations

  • Claudio Canuto
    • 1
  • Anita Tabacco
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorino

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-0876-2
  • Copyright Information Springer-Verlag Milan 2008
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-0875-5
  • Online ISBN 978-88-470-0876-2
  • Series Print ISSN 0172-5939
  • About this book