Calculus Problems, II - Several Variables and Series

This book shows hundreds of guided problems, with very detailed explanation on how to go about finding the right argument. This is the second of a 3-book project, the first book being already published (Calculus Problems, UNITEXT 101). The style, therefore, follows closely that of the aforementioned volume, with improvements in the graphic packaging, due to updating of the used software and the inclusion of further graphical packages. 
Each chapter contains a summary of the relevant definitions and theorems, a section with worked problems and a section on suggested exercises with solutions. This second book includes an elementary but thorough introduction to basic topology of Euclidean spaces and then focusses on of functions of several variables and on multiple integrals, sequences and series of functions.
It is addressed to UG students based both in EU and USA.

List of contents

 Structures and Functions on Euclidean Space.- Limits and Continuity.- Differentiation.- Minima and Maxima, Implicit Functions.- Multiple Integrals.- Sequences and Series of Functions.

Product details

• Authors: Marco Baronti, Enrico Calcagno, Filippo De Mari, Filippo e De Mari, Robertus van der Putten
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Release: 22.09.2025
• EAN: 9783031929120
• ISBN: 978-3-0-3192912-0
• No. of pages: 332
• Illustrations: X, 332 p. 129 illus., 21 illus. in color.
• Series: UNITEXT; La Matematica per il 3+2
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, Ordinary Differential Equations, Mathematical analysis, differential calculus, functions of several variables, Partial Derivatives, Basic Topology, Euclidean spaces