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Most Helpful Customer Reviews
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Mastering Mathematics,
This review is from: Symbolic logic and the real number system: An introduction to the foundations of number systems (Hardcover)
This book is intended for students with enough mathematical maturity to tackle abstract mathematics. Generally, two years of university mathematics prepares a student for this sort of mathematics, where it is the mathematics itself, as contrasted to applications, that is under scrutiny.
Chapter 1 is devoted to logical connectives. The notion of a mathematical object is presented in chapter 2. The ground is now ready for an elementary discussion of abstract algebra. In short, Capter 3 is an introduction to modern abstract algebra. In Chapter 4 the usual number systems are constructed on the basis of the Peano Postulates. In Chapter 5 we come to grips with the real number system. In Chapter 6 the limit concept, the basic idea of analysis is developed. The two appendixes contain elementary discussions of cardinal numbers and the complex number system. The exercise lists are an integral part of this book and serve two functions: first, to provide some practice in handling the concepts and techniques of the text; secondly, to penetrate further into the topic by presernting additional material and notions. - excerpts from book's preface
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