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Mathematical Analysis II

  • Textbook
  • © 2015
  • Latest edition

Overview

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  • Includes supplementary material: sn.pub/extras

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

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

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About this book

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 graspthe 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.

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Keywords

Table of contents (10 chapters)

Reviews

From the book reviews:

“This is the second part of a textbook written for students whose interest is not mainly in mathematics, yet mathematics plays an important role in their curricula. Second-year students will benefit from this very well written textbook with appropriate examples and good material presentation.” (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. Claudio Canuto, 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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