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Mathematical Analysis II

  • Claudio Canuto
  • Anita Tabacco

Part of the UNITEXT book series (UNITEXT, volume 85)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 85)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Claudio Canuto, Anita Tabacco
    Pages 1-32
  3. Claudio Canuto, Anita Tabacco
    Pages 33-74
  4. Claudio Canuto, Anita Tabacco
    Pages 75-109
  5. Claudio Canuto, Anita Tabacco
    Pages 111-154
  6. Claudio Canuto, Anita Tabacco
    Pages 155-200
  7. Claudio Canuto, Anita Tabacco
    Pages 201-259
  8. Claudio Canuto, Anita Tabacco
    Pages 261-296
  9. Claudio Canuto, Anita Tabacco
    Pages 297-365
  10. Claudio Canuto, Anita Tabacco
    Pages 367-420
  11. Claudio Canuto, Anita Tabacco
    Pages 421-507
  12. Back Matter
    Pages 509-559

About this book

Introduction

​The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of 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 second course of Mathematical Analysis.

Keywords

Differential equations Integrals over curves and surfaces Multi-dimensional differential calculus Multiple integrals Sequences and Series of functions

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-12757-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-12756-9
  • Online ISBN 978-3-319-12757-6
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site