A First Course in Analysis

ISBN-13: 9781107173149 / Angielski / Twarda / 2017 / 375 str.

John B. Conway

Opis

This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

Recenzje

'This book is an excellent textbook on analysis from a well-known author. It is addressed to undergraduate students and will be useful for lecturers as well. The presentation is reader-friendly and a student reading it can feel as if the material is presented by the favorite teacher. The book is well-marked with accents: immediately it is clear if this is an important definition or theorem, or if it is a technical phrase. Most proofs of statements are completely clear and concise. The parts of proofs left as exercises to the reader require a careful study of the material.' Ivan Podvigin, zbMATH

Spis treści

1. The real numbers; 2. Differentiation; 3. Integration; 4. Sequences of functions; 5. Metric and Euclidean spaces; 6. Differentiation in higher dimensions; 7. Integration in higher dimensions; 8. Curves and surfaces; 9. Differential forms.