doi:10.1007/978-1-4939-2712-8

Abbott, S. (2015). doi:10.1007/978-1-4939-2712-8. Understanding Analysis.

Type

Book

Intellectual base

Review or monograph

Year

2015

DOI

10.1007/978-1-4939-2712-8

ISBN

9781493927111

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4939-2712-8

Cited by

4 citations across 4 artifacts.

Domain-specific

• Classification of Discontinuities
  • The draft preserves that pedagogical convention but marks the domain qualification.
• Dedekind cut
  • Generalization to other linear orders may produce a Dedekind completion, but algebraic operations require additional compatible structure.
• Function series
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Monotonic Function
  • Abbott's analysis text develops monotone sequences and functions as order-constrained objects whose limits and discontinuities can be controlled without assuming smoothness.

Verification

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Registry ID ref:f91c29ee58f8 · see in the full table