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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
Helps in the understanding of continuous and differentiable functions. This book emphasises on real functions of a single variable. It contains topics...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
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
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
Offers an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the ...Lees meer
Discusses the Riemann and the Riemann-Stieltjes integrals. This book deals with Lebesgue measure and integration. It is suitable for students studying...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
Presents an introduction to algebraic geometry. This work focuses on the interplay between abstract theory and specific examples. It contains problems...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
Introduces $p$-adic numbers from the point of view of number theory, topology, and analysis. Covering several topics from real analysis and elementary...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
Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of ...Lees meer
Introducing the heat equation and the closely related notion of harmonic functions from a probabilistic perspective, this book includes chapters on: t...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 classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute (Utah), this title is derived from both le...Lees meer
Presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic strugg...Lees meer
The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. This book addresses t...Lees meer
The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements...Lees meer