Real Analysis A Long-Form Mathematics Textbook
Language: English Publication details: Sacramento LongFormMath.com 2019Edition: SecondDescription: viii,431 pISBN: 9781077254541 (PB)Subject(s): Mathematical analysis | Set Theory | Mathematics
BOOKS
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New Arrivals (21 February 2023)
| Current library | Home library | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | 517.51 CUM (Browse shelf (Opens below)) | Available | 76587 |
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| 517.51 CAR Real analysis | 517.51 CHI Variational Inequalities and Flow in Porous Media | 517.51 CLO Inequalities with applications to Engineering | 517.51 CUM Real Analysis A Long-Form Mathematics Textbook | 517.51 DAV Real analysis and applications | 517.51 DOD Circular functions | 517.51 DUR Theory of Hp spaces |
The reals
Cardinality
Sequences
Series
The topology of R
Continuity
Differentiation
Integration
Sequences and series of functions
Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by 'scratch work' or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader.
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