Naive Set Theory by P R Halmos
Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.-
Understanding Analysis
-
Introduction to Analytic Number Theory
-
Linear Algebra Done Right
-
Real Analysis
-
Rational Points on Elliptic Curves
-
Mathematics and Its History
-
Elementary Analysis
-
A First Course in Differential Equations
-
Second Year Calculus
-
Applied Linear Algebra
-
Linear Algebra
-
A First Course in Real Analysis
-
Real Mathematical Analysis
-
Introduction to Coding and Information Theory
-
Calculus I
-
Ordinary Differential Equations
-
Multivariable Calculus with Applications
-
Complex Analysis
-
Introduction to Linear Algebra
-
Groups and Symmetry
-
Ideals, Varieties, and Algorithms
-
Real Analysis via Sequences and Series
-
Modular Functions and Dirichlet Series in Number Theory
-
A Combinatorics and Graph Theory
-
Elementary Probability Theory
-
The Art of Proof
-
An Introduction to Mathematical Cryptography
-
Introduction to Partial Differential Equations
-
A Concrete Introduction to Higher Algebra
-
Topics in the Theory of Numbers
-
The Four Pillars of Geometry
-
Discrete Mathematics
-
Finite-Dimensional Vector Spaces
From the reviews:
“This book is a very specialized but broadly useful introduction to set theoryIt is aimed at ‘the beginning student of advanced mathematics’ … who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. … A good reference for how set theory is used in other parts of mathematics … .” (Allen Stenger, The Mathematical Association of America, September, 2011)
| SKU | Unavailable |
| ISBN 13 | 9780387900926 |
| ISBN 10 | 0387900926 |
| Title | Naive Set Theory |
| Author | P R Halmos |
| Series | Undergraduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1998-01-16 |
| Number of pages | 104 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |