Understanding Analysis

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Mathematics - Analysis
Understanding Analysis

Understanding Analysis

Name: Understanding Analysis
ISBN: 9781441928665

Stephen Abbott

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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 book outlines an elementary, one-semester course which exposes students 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 of a course in real analysis should be 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.

Kategori:

Mathematics - Analysis

Tahun:

2001

Edisi:

Penerbit:

Springer, Springer Science+Business Media LLC

Bahasa:

english

Halaman:

265

ISBN 10: