Sets and Transfinite Algebra by Thomas Müller
This two-part book offers a rigorous yet accessible exploration of set theory and transfinite algebra, with a particular emphasis on the axiom of choice and its applications. Part I presents an informal axiomatic introduction to the foundations of set theory, including a detailed treatment of the axiom of choice and its equivalents, suitable for advanced undergraduates. Part II, aimed at graduate students and professional mathematicians, treats selected topics in transfinite algebra where the axiom of choice, in one form or another, is useful or even indispensable. The text features self-contained chapters for flexible use, and includes material rarely found in the literature, such as Tarski's work on complete lattices, Hamel's solution to Cauchy's functional equation, and Artin's resolution of Hilbert's 17th problem. Over 140 exercises, with full solutions provided in the Appendix, support active engagement and deeper understanding, making this a valuable resource for both independent study and course preparation.-
Hyperbolic Geometry from a Local Viewpoint
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Undergraduate Algebraic Geometry
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The Prime Number Theorem
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Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type
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Notes on Hamiltonian Dynamical Systems
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LMSST: 24 Lectures on Elliptic Curves
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A Brief Guide to Algebraic Number Theory
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Designs, Graphs, Codes and their Links
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Logic, Induction and Sets
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Fourier Analysis on Finite Groups and Applications
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Introduction to Combinators and (lambda) Calculus
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Representation Theorems in Hardy Spaces
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Introduction to Approximate Groups
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The Block Theory of Finite Group Algebras
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Hyperbolic Geometry
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Random Graphs, Geometry and Asymptotic Structure
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Undergraduate Commutative Algebra
- Nearly Invariant Subspaces and their Applications
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Celestial Mechanics
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The Shrikhande Graph
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Topics in Cyclic Theory
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An Introduction to the Theory of Graph Spectra
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Clifford Algebras: An Introduction
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The Riemann Hypothesis for Function Fields
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Introduction to Banach Algebras, Operators, and Harmonic Analysis
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Fast Track to Forcing
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The Block Theory of Finite Group Algebras: Volume 1
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Computational Algebraic Geometry
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Lectures on Kahler Geometry
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Fourier Analysis: Volume 1, Theory
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Semigroups of Linear Operators
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An Introduction to Noncommutative Noetherian Rings
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The Calculus of Braids
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A Gentle Introduction to Homological Mirror Symmetry
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Set Theory
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Tensor Products of C*-Algebras and Operator Spaces
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Introductory Lectures on Rings and Modules
Thomas Müller, formerly of Queen Mary & Westfield College (London), is affiliated with the University of Vienna as a Professorial Research Fellow in the Department of Mathematics. His main research interests are in the areas of algebra, combinatorics, and geometry. He is the co-author of 'A Universal Construction for Groups Acting Freely on Real Trees' (2012).
| SKU | Unavailable |
| ISBN 13 | 9781009737876 |
| ISBN 10 | 1009737872 |
| Title | Sets and Transfinite Algebra |
| Author | Muller Thomas |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2026-04-30 |
| Number of pages | 217 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |