A passage to modern analysis
"A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides …
Read More ↓Title Statements
- Full title :A passage to modern analysis / William J. Terrell.
Summary
"A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level"--Publisher's description.
Read More ↓Edition Statements
- Publication Date:©2019
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2019
The Physical Object
- Description:xxvii, 607 pages : : illustrations ; : 27 cm.
Edition Identifiers
- ISBN:9781470451356, 1470451352
- oclc:on1121159420
- LC Classification:QA300
- Dewey Decimal:515/.8
Table of Contents
Sets and functions -- The complete ordered field of real numbers -- Basic theory of series -- Basic topology, limits and continuity -- The derivative -- The Riemann integral -- Sequences and series of functions -- The metric space Rn -- Metric spaces and completeness -- Differentiation in Rn -- The inverse and implicit function theorems -- The Riemann integral in Euclidean space -- Transformation of integrals -- Ordinary differential equations -- The Dirichlet problem and Fourier series -- Measure theory and Lebesgue measure -- The Lebesgue integral -- Inner product spaces and Fourier series.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Methods for Solving Inverse Problems in Mathematical Physics
Express Ltd. Co., Global
Rate & Review