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Mathematical Analysis I

  • Textbook
  • © 2015

Overview

Authors:
  1. Claudio Canuto

    1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

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    You can also search for this author in PubMed   Google Scholar

  2. Anita Tabacco

    1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides several step-by-step tutorials to help the reader to learn quickly
  • Includes ten tips on how to protect flash sites from hackers
  • Presents a special chapter on next generation Flash
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XI
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  2. Basic notions

    • Claudio Canuto, Anita Tabacco
    Pages 1-30

  3. Functions

    • Claudio Canuto, Anita Tabacco
    Pages 31-63

  4. Limits and continuity I

    • Claudio Canuto, Anita Tabacco
    Pages 65-88

  5. Limits and continuity II

    • Claudio Canuto, Anita Tabacco
    Pages 89-121

  6. Local comparison of functions. Numerical sequences and series

    • Claudio Canuto, Anita Tabacco
    Pages 123-168

  7. Differential Calculus

    • Claudio Canuto, Anita Tabacco
    Pages 169-224

  8. Taylor expansions and applications

    • Claudio Canuto, Anita Tabacco
    Pages 225-257

  9. Geometry in the plane and in space

    • Claudio Canuto, Anita Tabacco
    Pages 259-300

  10. Integral calculus I

    • Claudio Canuto, Anita Tabacco
    Pages 301-355

  11. Integral calculus II

    • Claudio Canuto, Anita Tabacco
    Pages 357-387

  12. Ordinary differential equations

    • Claudio Canuto, Anita Tabacco
    Pages 389-423

  13. Back Matter

    Pages 425-492
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Keywords

About this book

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 requiresthe 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.

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)

Authors and Affiliations

  • Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Claudio Canuto, Anita Tabacco

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

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