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Focuses on using game theory in mathematical modelling. This introductory text covers the basic ideas and methods of game theory as well as the necess...Lees meer
Matrix groups are central to many fields in mathematics and physics. This book combines rigor and intuition to describe basic objects of Lie theory: L...Lees meer
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In thi...Lees meer
Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in IR 3 that arise in calculus. Here we learn abo...Lees meer
Features plane curves to illustrate many deep and inspiring results in the field in an elementary and accessible way. After an introduction to the bas...Lees meer
An introductory survey of elliptic curves, modular forms, and $L$-functions. The main goal is to provide the reader with the big picture of the surpri...Lees meer
Provides a student's first encounter with the concepts of measure theory and functional analysis. This book reflects the belief that difficult concept...Lees meer
Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and ex...Lees meer
Provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workh...Lees meer
Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that a...Lees meer
Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of ...Lees meer
Provides an accessible introduction to quandle theory for readers with a background in linear algebra. Important concepts from topology and abstract a...Lees meer
Offers an introduction to the theory of finite fields and to some of their many practical applications. After covering their construction and elementa...Lees meer
Offers a reader-friendly introduction to the theory of symmetric functions. It includes fundamental topics such as the monomial, elementary, homogeneo...Lees meer
Based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections betw...Lees meer
This is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the a...Lees meer
The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations....Lees meer
Tries to display the value (and joy!) of starting from a mathematically amorphous problem and combining ideas from diverse sources to produce new and ...Lees meer
Offers an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which p...Lees meer
Number theory is the equal of Euclidean geometry - some would say it is superior to Euclidean geometry - as a model of pure, logical, deductive thinki...Lees meer
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity o...Lees meer
Takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. The book develops...Lees meer
Gives an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. In particular,...Lees meer
Introduces algebraic geometric coding theory. This book covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the para...Lees meer