Articles liés à An Introduction to Analysis

An Introduction to Analysis - Couverture rigide

Gunning, Robert C.

 
9780691178790: An Introduction to Analysis
Couverture rigide
ISBN 10 : 0691178798 ISBN 13 : 9780691178790
Editeur : Princeton University Press, 2018

Synopsis

An essential undergraduate textbook on algebra, topology, and calculus

An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel.

With a range of problems throughout, An Introduction to Analysis treats n-dimensional calculus from the beginning--differentiation, the Riemann integral, series, and differential forms and Stokes's theorem--enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings.

Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.

  • Provides a rigorous introduction to calculus in one and several variables
  • Introduces students to basic topology
  • Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings
  • Discusses differential forms and Stokes's theorem in n dimensions
  • Also covers the Riemann integral, integrability, improper integrals, and series expansions

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Robert C. Gunning is professor of mathematics at Princeton University. His books include Lectures on Riemann Surfaces and Lectures on Complex Analytic Varieties (both Princeton).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2018
Langue
anglais
ISBN 10 
0691178798
ISBN 13 
9780691178790
Reliure
Relié
Nombre de pages
384
Coordonnées du fabricant
non disponible
Personne responsable
non disponible