A first course in analysis
- John B. Conway.
- Cambridge, United Kingdom : Cambridge University Press, 
- Copyright notice
- Physical description
- xv, 340 pages ; 26 cm.
- Cambridge mathematical textbooks.
At the library
Science Library (Li and Ma)
|QA300 .C647 2018||Unknown|
- Conway, John B., 1939- author.
- Includes bibliographical references (page 331) and indexes.
- 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.
- (source: Nielsen Book Data)9781107173149 20171002
- Publisher's Summary
- This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.
(source: Nielsen Book Data)9781107173149 20171002
- Mathematical analysis.
- Publication date
- Copyright date
- Cambridge mathematical textbooks
- 9781107173149 (Hardback)
- 1107173140 (Hardback)
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