Understanding Analysis
Stephen Abbott
Main subject categories: • Mathematical Analysis • Real Functions • Real Numbers • Sequences and Series • Basic Topology of ℝ • Functional Limits and Continuity • The Derivative • Sequences and Series of Functions • The Riemann Integral
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
Kategori:
Tahun:
2001
Edisi:
1, Corected 2nd Printing 2001
Penerbit:
Springer, Springer Science+Business Media LLC
Bahasa:
english
Halaman:
265
ISBN 10:
1441928669
ISBN 13:
9781441928665
Nama siri:
Undergraduate Texts in Mathematics [UTM]
Fail:
PDF, 4.53 MB
IPFS:
,
english, 2001