Mathematical analysis II
 Author/Creator
 Canuto, C.
 Language
 English. Text is in English, translated from Italian.
 Imprint
 Milan : Springer, c2010.
 Physical description
 x, 523 p. : ill. (some col.) ; 24 cm.
 Series
 Universitext.
Access
Available online

Stacks

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QA300 .C36 2010

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QA300 .C36 2010
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Contributors
Contents/Summary
 Contents

 Numerical series. Series of functions and power series. Fourier series. Functions between Euclidean spaces. Differential calculus for scalar functions. Differential calculus for vectorvalued functions. Applying differential calculus. Integral calculus in several variables. Integral calculus on curves and surfaces. Ordinary differential equations.
 (source: Nielsen Book Data)
 Publisher's Summary
 The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort "Mathematical Analysis I". The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. While the subject matter known as 'Calculus 1' is more or less standard, and concerns real functions of real variables, the topics of a course on 'Calculus 2' can vary a lot, resulting in a bigger flexibility. For these reasons the Authors tried to cover a wide range of subjects, not forgetting that the number of credits the current programme specifications confers to a second Calculus course is not comparable to the amount of content gathered here. The reminders disseminated in the text make the chapters more independent from one another, allowing the reader to jump back and forth, and thus enhancing the versatility of the book. On the website, the interested reader may find the rigorous explanation of the results that are merely stated without proof in the book, together with useful additional material. The Authors have completely omitted the proofs whose technical aspects prevail over the fundamental notions and ideas. The large number of exercises gathered according to the main topics at the end of each chapter should help the student put his improvements to the test. The solution to all exercises is provided, and very often the procedure for solving is outlined.
(source: Nielsen Book Data)
Subjects
 Subject
 Mathematical analysis.
Bibliographic information
 Publication date
 2010
 Responsibility
 Claudio Canuto, Anita Tabacco ; translated by Simon G. Chiossi.
 Series
 Universitext
 Note
 Includes index.
 ISBN
 9788847017832
 8847017831