This course is designed to develop the student's ability to do abstract mathematics through the presentation and development of the basic notions of logic and proof. Topics include elementary set ...

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices ... applications of discrete orthogonal ...

Galois theory; Homological algebra; Semisimple algebra. The MATH 8808-8809 sequence will cover the following topics: Point-set topology, fundamental group and covering spaces, smooth manifolds, smooth ...

This book is ideal as a supplement for a first course in group theory or alternatively as recreational reading. Nathan Carter, Bentley College, Massachusetts Nathan Carter earned his PhD in ...

From a mathematical point of view ... the axiom of choice because the eight axioms of the Zermelo-Fraenkel set theory were not powerful enough and could not be used to construct a selection ...

Graph Theory and Combinatorics, Mathematics Education, Optimization, Set Theory, Differential Equations and Applied Dynamical Systems, as well as Algebraic Topology and Geometric Group Theory. Find ...

This book is a poem disguised as a set of lecture notes. The lectures are on computing and physics, complexity theory and mathematical logic and quantum physics. The poem is made up of proofs, jokes, ...

We supervise projects and dissertations in a variety of areas of pure mathematics and beyond. These include (but are not limited to): noncommutative algebra, representation theory, algebraic geometry, ...

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes ...

The BSc in Mathematics, Statistics and Business provides a thorough grounding in the practical application of mathematical and statistical theory in the business world ... and A* (or 8-9). We also ask ...

including mathematical biology, combinatorics, matrix and operator theory, geometry, optics, probability, numerical analysis and partial differential equations. Drexel University's undergraduate ...

Teaching algebraic thinking skills early—like generalizing, representing, and reasoning—can set students up for success, ...