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Enumerative Combinatorics
Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.
Catalan Numbers
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.
The Spectacle of the Body in Late Medieval England
The volume The Spectacle of the Body in Late Medieval England represents a study on the human body representation in medieval England by approaching the concept of the spectacle as a space of manifestation. The author clarifies the ways of understanding the body as a physical and metaphorical reality, but also the medieval conceptualization of violence. On top of that, the author is making an investigation on the violent character of spectacles' representation in pursuit of picturing this subject more clearly and more relevant. The approach of the volume is dominantly Christian reviewing the representations of the body through outstanding figures of Christianity (crucifixion of Jesus Christ, body of Virgin Mary).
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