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Mathematical Analysis I

  • Claudio Canuto
  • Anita Tabacco

Part of the UNITEXT book series (UNITEXT, volume 84)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 84)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Claudio Canuto, Anita Tabacco
    Pages 1-30
  3. Claudio Canuto, Anita Tabacco
    Pages 31-63
  4. Claudio Canuto, Anita Tabacco
    Pages 65-88
  5. Claudio Canuto, Anita Tabacco
    Pages 89-121
  6. Claudio Canuto, Anita Tabacco
    Pages 123-168
  7. Claudio Canuto, Anita Tabacco
    Pages 169-224
  8. Claudio Canuto, Anita Tabacco
    Pages 225-257
  9. Claudio Canuto, Anita Tabacco
    Pages 259-300
  10. Claudio Canuto, Anita Tabacco
    Pages 301-355
  11. Claudio Canuto, Anita Tabacco
    Pages 357-387
  12. Claudio Canuto, Anita Tabacco
    Pages 389-423
  13. Back Matter
    Pages 425-492

About this book

Introduction

The purpose of the volume is to provide a support for a first course in Mathematics. 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 requires the additional study of the material contained in the appendices, 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. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics.

Keywords

Differential equations Integral calculus Limits and continuity One variable differential calculus PDE

Authors and affiliations

  • Claudio Canuto
    • 1
  • Anita Tabacco
    • 1
  1. 1.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-12772-9
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-12771-2
  • Online ISBN 978-3-319-12772-9
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site