A Modern Introduction to Mathematical Analysis

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Level
Advanced
Educational Level
Adult & Further Education
ISBN
9783031237157
Category

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3031237153
ISBN-13
9783031237157
eBay Product ID (ePID)
19066540890

Product Key Features

Number of Pages
Xxi, 431 Pages
Publication Name
Modern Introduction to Mathematical Analysis
Language
English
Subject
Mathematical Analysis
Publication Year
2024
Type
Textbook
Subject Area
Mathematics
Author
Alessandro Fonda
Format
Trade Paperback

Dimensions

Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Dewey Edition
23
TitleLeading
A
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
- Part I The Basics of Mathematical Analysis. - 1. Sets of Numbers and Metric Spaces. - 2. Continuity. - 3. Limits. - 4. Compactness and Completeness. - 5. Exponential and Circular Functions. - Part II Differential and Integral Calculus in R. - 6. The Derivative. - 7. The Integral. - Part III Further Developments. - 8. Numerical Series and Series of Functions. - 9. More on the Integral. - Part IV Differential and Integral Calculus in RN. - 10.The Differential. - 11. The Integral. - 12. Differential Forms.
Synopsis
This textbook presents all the basics for the first two years of a course in mathematical analysis, from the natural numbers to Stokes-Cartan Theorem. The main novelty which distinguishes this book is the choice of introducing the Kurzweil-Henstock integral from the very beginning. Although this approach requires a small additional effort by the student, it will be compensated by a substantial advantage in the development of the theory, and later on when learning about more advanced topics. The text guides the reader with clarity in the discovery of the many different subjects, providing all necessary tools - no preliminaries are needed. Both students and their instructors will benefit from this book and its novel approach, turning their course in mathematical analysis into a gratifying and successful experience.
LC Classification Number
QA299.6-433

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