Mathematical Analysis I

1. Auflage 2004. 2. printing 2008
ISBN: 978-3-540-87451-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 578 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 890 g

Reihe: Universitext

This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions. Especially notable in this course is the clearly expressed orientation toward the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books.

The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Zorich, V. A.

Weitere Mitwirkende

Cooke, Roger

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

Some General Mathematical Concepts and Notation.- The Real Numbers.- Limits.- Continuous Functions.- Differential Calculus.- Integration.- Functions of Several Variables: their Limits and Continuity.- The Differential Calculus of Functions of Several Variables.- Some Problems from the Midterm Examinations.- Examination Topics.