Second Edition

The Foundations of Mathematics

Τελική τιμή: 25,00€
Αρχική τιμή: 33,00€ Έκπτωση -24% (8,00€)
Δωρεάν έξοδα αποστολής για αγορές 30,00  και άνω
Βάρος 0,320 κ.
Είδος

Έκδοση

Εκδότης

Έτος έκδοσης

ISBN

Μήνας έκδοσης

Σελίδες

Σχήμα

Original price was: 33,00 €.Η τρέχουσα τιμή είναι: 25,00 €.

Explicitly suggests to the student ways they can increase their understanding.
Explains the motivation behind otherwise abstract foundational material in mathematics.
Guides the reader from an informal to a formal, axiomatic approach.
Extremely well-known bestselling authors.
New edition of a widely used book.
Highly illustrated.
New to this Edition:
The new edition of The Foundations of Mathematics is a major update, with four entirely new chapters and the remainder of the book updated as necessary.
The original opening chapter on · Mathematical Thinking has been completely rewritten and significantly expanded.
A brand new Part IV of the book on Using Axiomatic Systems contains three further new chapters on · Axiomatic Structures and Structure Theorems · Permutations and Groups · Infinitesimals

I: The Intuitive Background
1:Mathematical Thinking
2:Number Systems
II: The Beginnings of Formalisation
3:Sets
4:Relations
5:Functions
III: The Development of Axiomatic Systems
8:Natural Numbers and Proof by Induction
9:Real Numbers
10:Real Numbers as a Complete Ordered Field
11:Complex Numbers and Beyond
IV: Using Axiomatic Systems
12:Axiomatic Structures and Structure Theorems
13:Permutations and Groups
14:Infinite Cardinal Numbers
15:Infinitesimals
V: Strengthening the Foundations
16:Axioms for Set Theory