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Fourier Analysis: Volume 1, Theory
Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into …
Fast Track to Forcing
This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail. Intuition, rather absent from the existing …
Set Theory for the Working Mathematician
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry …
The Homotopy Theory of (8,1)-Categories
The notion of an (8,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, …
Compact Matrix Quantum Groups and Their Combinatorics
Groups, Languages and Automata
Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode …
Dependence Logic
Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to …
Set Theory
This is a classic introduction to set theory in three parts. The first part gives a general introduction to set theory, suitable for undergraduates; complete proofs are given and …
Logic, Induction and Sets
This is an introduction to logic and the axiomatization of set theory from a unique standpoint. Philosophical considerations, which are often ignored or treated casually, are here …
Set Theory for the Working Mathematician
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry …