Related papers: Potpourri

These notes, connected to a "potpourri" topics course currently underway, are concerned with some interrelated themes of polynomials, functions on the unit circle or interval, and norms.

These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.

These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.

These informal notes deal with some topics related to analysis on metric spaces.

These notes, associated with a topics course, are concerned with some general methods related to norms and linear transformations.

These notes deal with some topics related to limits of norms, functions on the unit circle, and so on.

These notes, associated with a topics course, deal with some special cases involving norms and linear transformations.

These notes, associated with a topics course, are largely concerned with Hausdorff measures and a class of metric spaces which behave like Cantor sets.

These notes, associated with a topics course, deal with some special features of summability and supremum norms which are often useful.

These notes, associated with a topics course, are concerned with Hausdorff measures and Lipschitz functions on metric spaces.

These Notes deal with various areas of mathematics, and seek reciprocal combinations, explore mutual relations, ranging from abstract objects to problems in physics.

These informal notes deal with a number of questions related to sums and integrals in analysis.

These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.

These informal notes are concerned with sums and averages in various situations in analysis.

These informal notes briefly discuss some basic topics in harmonic analysis along the lines of convolutions and Fourier transforms.

A number of topics in analysis are discussed, with emphasis on basic principles. There is some overlap with "Elements of linear and real analysis" (arXiv:math/0108030), with numerous changes in content and presentation since then.

These are some basic notes concerning Holder and Lipschitz classes on metric spaces.

There are versions of "calculus" in many settings, with various mixtures of algebra and analysis. In these informal notes we consider a few examples that suggest a lot of interesting questions.

These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propositional logic, proof techniques, mathematical induction,…

These informal notes concern some basic themes of harmonic analysis related to representations of groups.