Advanced Calculus: An Introduction to Classical Analysis (Paperback)

Louis Brand

ISBN 10: 0486445488 / ISBN 13: 9780486445489

Published by Dover Publications, New York, 2006

About this Item

Paperback. A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition. A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780486445489

Bibliographic Details

• Title: Advanced Calculus: An Introduction to Classical Analysis (Paperback)
• Publisher: Dover Publications, New York
• Publication Date: 2006
• Language: English
• ISBN 10: 0486445488
• ISBN 13: 9780486445489
• Binding: Paperback
• Condition: new

About this title

Synopsis

A course in analysis that focuses on the functions of a real variable, this text is geared toward upper-level undergraduate students. It introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, practical theorems, and coherent proofs.
Starting with the structure of the system of real and complex numbers, the text deals at length with the convergence of sequences and series and explores the functions of a real variable and of several variables. Subsequent chapters offer a brief and self-contained introduction to vectors that covers important aspects, including gradients, divergence, and rotation. An entire chapter is devoted to the reversal of order in limiting processes, and the treatment concludes with an examination of Fourier series.