Bøker i Springer Monographs in Mathematics-serien

This clearly written text is the first book on unitals embedded in finite projective planes. It provides a thorough survey of the research literature on embedded unitals. The book is well-structured with excellent diagrams and a comprehensive bibliography.

The field of functional equations is an ever-growing branch of mathematics with far-reaching applications. This book presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations and their applications to related topics.

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups.

A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.

In a revised edition, this book presents basic results of the theory of convex sets and functions in infinite-dimensional spaces. Includes new results on advanced concepts of subdifferential for convex functions and new duality results in convex programming.

It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte-Yudin-Levenshtein linear programming methods for lower bounding energy, a thorough treatment of Cohn-Kumar universality, and a comparison of 'popular methods' for uniformly distributing points on the two-dimensional sphere.