Download Topological automorphic forms by Mark Behrens PDF

By Mark Behrens

The authors follow a theorem of J. Lurie to provide cohomology theories linked to yes Shimura kinds of sort $U(1,n-1)$. those cohomology theories of topological automorphic varieties ($\mathit{TAF}$) are relating to Shimura forms within the related means that $\mathit{TMF}$ is expounded to the moduli house of elliptic curves. desk of Contents: $p$-divisible teams; The Honda-Tate category; Tate modules and point buildings; Polarizations; kinds and involutions; Shimura types of sort $U(1,n-1)$; Deformation idea; Topological automorphic kinds; dating to automorphic kinds; tender $G$-spectra; Operation on $\mathit{TAF}$; structures; Hypercohomology of adele teams; $K(n)$-local conception; instance: chromatic point $1$; Bibliography; Index. (MEMO/204/958)

Show description

Download A Topological Picturebook by George K. Francis PDF

By George K. Francis

Praise for George Francis's A Topological Picturebook:

Bravo to Springer for reissuing this particular and gorgeous publication! It not just reminds the older iteration of the pleasures of doing arithmetic by means of hand, but additionally exhibits the recent iteration what ``hands on'' rather means.

- John Stillwell, college of San Francisco

The Topological Picturebook has taught a complete new release of mathematicians to attract, to determine, and to think.

- Tony Robbin, artist and writer of Shadows of fact: The Fourth size in Relativity, Cubism, and glossy Thought

The vintage reference for the way to give topological details visually, choked with impressive hand-drawn photographs of advanced surfaces.

- John Sullivan, Technische Universitat Berlin

A Topological Picturebook shall we scholars see topology because the unique discoverers conceived it: concrete and visible, freed from the formalism that burdens traditional textbooks.

- Jeffrey Weeks, writer of The form of Space

A Topological Picturebook is a visible ceremonial dinner for someone interested in mathematical photos. Francis offers beautiful examples to construct one's "visualization muscles". even as, he explains the underlying ideas and layout concepts for readers to create their very own lucid drawings.

- George W. Hart, Stony Brook University

In this choice of narrative gem stones and exciting hand-drawn photographs, George Francis demonstrates the chicken-and-egg courting, in arithmetic, of photo and textual content. because the publication used to be first released, the case for images in arithmetic has been received, and now it's time to consider their that means. A Topological Picturebook is still indispensable.

- Marjorie Senechal, Smith collage and co-editor of the Mathematical Intelligencer

Show description

Download Knots and Surfaces: A Guide to Discovering Mathematics by David W. Farmer, Theodore B. Stanford PDF

By David W. Farmer, Theodore B. Stanford

In such a lot arithmetic textbooks, the main fascinating a part of mathematics--the technique of invention and discovery--is thoroughly hidden from the reader. the purpose of Knots and Surfaces is to alter all that. through a sequence of conscientiously chosen projects, this ebook leads readers to find a few genuine arithmetic. There are not any formulation to memorize; no methods to stick with. The e-book is a consultant: its task is to begin you within the correct course and to carry you again in the event you stray too a long way. Discovery is left to you.
Suitable for a one-semester path initially undergraduate point, there are not any necessities for knowing the textual content. Any collage pupil attracted to studying the wonderful thing about arithmetic will take pleasure in a direction taught from this e-book. The booklet has additionally been used effectively with nonscience scholars who are looking to satisfy a technology requirement.

Show description