Principles of Mathematical Analysis

Walter Rudin, P. (1976). Principles of Mathematical Analysis. McGraw-Hill.

Type

Book chapter

Intellectual base

Textbook

Year

1976

ISBN

9780070542358

Link

https://openlibrary.org/books/OL5195991Mmatched

Cited by

6 citations across 6 artifacts.

Domain-specific

• Complete field
  • A complete field is a field \(K\) equipped with a specified compatible metric, typically \(d(x,y)=|x-y|\) from an absolute value, such that every Cauchy sequence in that metric converges to an element of \(K\).
• Conditional convergence
  • Conditionally convergent series depend on order: rearrangements can alter the sum or destroy convergence, while alternating and cancellation structure can make partial sums settle despite divergent total magnitude.
• Function series
  • A function series is the limit problem associated with partial sums of a sequence of functions.
• Local boundedness
  • A function is locally bounded if every domain point has a neighborhood on which the function's values are bounded.
• Mean of a function
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Uniform norm
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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