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Mathematics  Concordia University Libraries Recent Acquisitions
Titles in the call number range QA 1  QA 73, QA 90  QA 699 (Mathematics) that were added to the Concordia University Libraries collection in the last 60 days.

Algebraic geometry over C[infinity]rings / Dominic JoyceQA 614.3 J69 2019
If $X$ is a manifold then the $\mathbb R$algebra $C^\infty (X)$ of smooth functions $c:X\rightarrow \mathbb R$ is a $C^\infty $ring. That is, for each smooth function $f:\mathbb R^n\rightarrow \mathbb R$ there is an $n$fold operation $\Phi _f:C^\infty (X)^n\rightarrow C^\infty (X)$ acting by $\Phi _f:(c_1,\ldots,c_n)\mapsto f(c_1,\ldots,c_n)$, and these operations $\Phi _f$ satisfy many natural identities. Thus, $C^\infty (X)$ actually has a far richer structure than the obvious $\mathbb R$algebra structure. The author explains the foundations of a version of algebraic geometry in which rings or algebras are replaced by $C^\infty $rings. As schemes are the basic objects in algebraic geometry, the new basic objects are $C^\infty $schemes, a category of geometric objects which generalize manifolds and whose morphisms generalize smooth maps. The author also studies quasicoherent sheaves on $C^\infty $schemes, and $C^\infty $stacks, in particular DeligneMumford $C^\infty$stacks, a 2category of geometric objects generalizing orbifolds. Many of these ideas are not new: $C^\infty$rings and $C^\infty $schemes have long been part of synthetic differential geometry. But the author develops them in new directions. In earlier publications, the author used these tools to define dmanifolds and dorbifolds, ``derived'' versions of manifolds and orbifolds related to Spivak's ``derived manifolds''. 
The motion of a surface by its mean curvature / by Kenneth A. BrakkeQA 312 B65Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.
Originally published in 1978.
The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Almost periodic functions; text tr. by Harvey Cohn; appendices tr. by F. SteinhardtQA 403 B62
Motivated by questions about which functions could be represented by Dirichlet series, Harald Bohr founded the theory of almost periodic functions in the 1920s. This beautiful exposition begins with a discussion of periodic functions before addressing the almost periodic case. An appendix discusses almost periodic functions of a complex variable. This is a beautiful exposition of the theory of ""Almost Periodic Functions"" written by the creator of that theory; translated by H. Cohn.