A Course in Real Analysis-Test Bank

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1. ISBN-10

   9781482219272
2. ISBN-13

   978-1482219272

3. A Course in Real Analysis supplies a rigorous therapy of the foundations of differential and integral calculus on the superior undergraduate degree. The e book’s materials has been extensively classroom examined in the creator’s two-semester undergraduate course on actual evaluation at The George Washington College.

   The primary a part of the textual content presents the calculus of capabilities of 1 variable. This half covers conventional subjects, corresponding to sequences, continuity, differentiability, Riemann integrability, numerical collection, and the convergence of sequences and collection of capabilities. It additionally consists of non-compulsory sections on Stirling’s components, capabilities of bounded variation, Riemann–Stieltjes integration, and different subjects.

   The second half focuses on capabilities of a number of variables. It introduces the topological concepts (corresponding to compact and related units) wanted to explain analytical properties of multivariable capabilities. This half additionally discusses differentiability and integrability of multivariable capabilities and develops the speculation of differential varieties on surfaces in Rn.

   The third half consists of appendices on set principle and linear algebra in addition to options to a number of the workouts. A full options guide provides full options to all workouts for qualifying instructors.

   With clear proofs, detailed examples, and quite a few workouts, this textbook provides an intensive therapy of the topic. It progresses from single variable to multivariable capabilities, offering a logical growth of fabric that can put together college students for extra superior analysis-based programs.