Mathematics and Applied Mathematics
The collection’s primary function is to support research and teaching programs in the Mathematics Department and related programs in applied mathematics. In addition, the collection supports affiliated researchers in computer science, economics, physics, and statistics.
Professor Shizuo Kakutani, who arrived at Yale in 1949, took an interest in developing a mathematics library collection. He acquired books and journals for the library located in Leet Oliver Memorial Hall and established a local classification scheme still in use. The classification for monographs is divided into major subject groupings: Algebra, Algebraic geometry, Analysis, Complex variables, Differential equations, Differential geometry, Elementary, Geometry, History, Group theory, Logic, Number theory, Physics and applied mathematics, Probability, and Topology. Additional classification groupings are used to represent significant formats, including Conferences, Lives and Works, Reference and Yale dissertations. Several classifications were added later, including Festschriften and Problems.
Departments/disciplines/programs/subject areas supported
Departments and Programs
- Department of Mathematics (B.A., B.S., M.S., M.Phil., Ph.D.)
- Applied Mathematics Program (B.A., B.S., M.S., M.Phil., Ph.D.)
Subject areas for the mathematics include real analysis, complex analysis, functional analysis, classical and modern harmonic analysis; linear and nonlinear partial differential equations; dynamical systems and ergodic theory; geometric analysis; kleinian groups, low dimensional topology and geometry; differential geometry; finite and infinite groups; geometric group theory; finite and infinite dimensional Lie algebras, Lie groups, and discrete subgroups; representation theory; automorphic forms, L-functions; algebraic number theory and algebraic geometry; mathematical physics, relativity; numerical analysis; combinatorics and discrete mathematics.
Areas of concentration for applied mathematics include the analysis of data in very high-dimensional spaces, the geometry of information, computational biology, and randomized algorithms. Topics covered by the program include classical and modern applied harmonic analysis, linear and nonlinear partial differential equations, numerical analysis, scientific computing and applications, discrete algorithms, combinatorics and combinatorial optimization, graph algorithms, geometric algorithms, discrete mathematics and applications, cryptography, statistical theory and applications, probability theory and applications, information theory, econometrics, financial mathematics, statistical computing, and applications of mathematical and computational techniques to fluid mechanics, combustion, and other scientific and engineering problems.
Mathematics selection within supported subject areas is maintained at the research level for graduate study. The research level is defined as where independent research with the published sources can be pursued.
The Mathematics Department faculty require a browsable collection. Core journals are maintained in print format upon faculty request. Online databases are preferred over print. Monographs are purchased selectively in print or electronic format based on relevance to departmental teaching and research, reviews, user requests, and faculty authors.
Material in the subjects of computer science, mathematical physics, and statistics are referred to the collections mentioned below. Materials with a biographical or historical focus relevant to mathematics are purchased only if they do not duplicate holdings in Sterling Memorial Library.
Formats and materials acquired generally
- Conference proceedings
- Monographic series
- Reference works
- Scholarly monographs
Formats and materials collected selectively or by request
- Audio-visual material and optical disks are purchased only on request.
- Textbooks are generally excluded unless requested by faculty.
Formats not collected
- Instructor’s manuals
- Juvenile works
Materials collected are primarily in English.
Chronological and geographical focus
Current materials are emphasized.
No geographic areas are excluded.
Collaborations within Yale
Communication occurs with the selector for engineering and applied science related to computational aspects and mathematical statistics and with physics for mathematical physics.
Works placed on course reserve are collected by Bass Library, along with books for which high use is anticipated.