In the American Mathematical Society’s first-ever book for kids (and kids at heart!), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. This book is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.
Student Mathematical Library Series
The books presented in this series serve as pivotal stepping stones in a student’s journey from mathematical coursework to research. Beneficial to beginning and advanced mathematicians alike.
Graduate Studies in Mathematics Series
Volumes in this series are specifically designed as graduate studies texts, but are also suitable for supplemental course reading and make ideal independent study resources.
Linear subsets of nonlinear sets in topological vector spaces
For the last decade there has been a generalized trend in mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying certain special properties. This trend has caught the eye of many researchers and has also had a remarkable influence in real and complex analysis, operator theory, summability theory, polynomials in Banach spaces, hypercyclicity and chaos, and general functional analysis. This expository paper is devoted to providing an account on the advances and on the state of the art of this trend, nowadays known as lineability and spaceability.