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© 2015

Mathematical Analysis I

Textbook
  • 33k Downloads

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

  1. 1.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly

About the authors

Prof. Canuto Tabacco, Dept. of Mathematical Sciences, Politecnico di Torino, Torino, Italy

Prof. Anita Tabacco, Dept. of Mathematical Sciences, Politecnico di Torino, Torino, Italy

Bibliographic information

Industry Sectors
Aerospace
Energy, Utilities & Environment
Finance, Business & Banking

Reviews

From the book reviews:

“I enjoyed reading the present textbook. It provides a good coverage of the material, a very good choice of exercises, and an impeccable graphical presentation. The textbook is written for first-year students whose interest is not mainly in mathematics, yet mathematics plays an important role in their curricula. The authors attained their goal.” (George Stoica, zbMATH, Vol. 1305, 2015)