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 mer
Produktdetaljer
ISBN
9781400889419
Publisert
2018
Utgiver
Vendor
Princeton University Press
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter