A Concise Approach to Mathematical Analysis

Mangatiana A. Robdera

380 pages, parution le 10/03/2003

Ajouter à une liste

Indisponible

Résumé

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problem-solving approach of standard calculus to the more rigorous approach of proof-writing and a deeper understanding of mathematical analysis.

The first half of the textbook deals with the basic foundation of analysis on the real line; the second half introduces more abstract notions in mathematical analysis. Each topic begins with a brief introduction followed by detailed examples. A selection of exercises, ranging from the routine to the more challenging, then gives students the opportunity to practise writing proofs.

The book is designed to be accessible to students with appropriate backgrounds from standard calculus courses but with limited or no previous experience in rigorous proofs. It is written primarily for advanced students of mathematics - in the 3rd or 4th year of their degree - who wish to specialise in pure and applied mathematics, but it will also prove useful to students of physics, engineering and computer science who also use advanced mathematical techniques.

Contents

Numbers and Functions
Sequences
Series
Limits and Continuity
Differentiation
Elements of Integration
Sequences and Series of Functions
Local Structure on the Real Line
Continuous Functions
Introduction to Lebesgue Integral
Elements of Fourier Analysis
Appendix
Hints for Selected Exercises

L'auteur - Mangatiana A. Robdera

Al Akhawayn University, Morocco

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Mangatiana A. Robdera
Parution	10/03/2003
Nb. de pages	380
Format	17 x 23,5
Couverture	Broché
Poids	711g
Intérieur	Noir et Blanc
EAN13	9781852335526
ISBN13	978-1-85233-552-6