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Contributions to the Founding of the ..., Cantor, Georg
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Item specifics
- Condition
- Title
- Contributions to the Founding of the Theory of Transfinite Num...
- Book Title
- Contributions to the Founding of the Theory of Transfinite Num...
- ISBN
- 0486600459
- EAN
- 9780486600451
- Binding
- Paperback
- Genre
- Mathematics
- Height
- 15.24
- Length
- 195.58
- Width
- 134.62
- Release Title
- Contributions to the Founding of the Theory of Transfinite Num...
- Artist
- Cantor, Georg
- Brand
- N/A
- Colour
- N/A
- Publication Year
- 1999
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Contributions to the Founding of the Theory of Transfinite Numbers
- Item Height
- 220mm
- Publisher
- Dover Publications Inc.
- Item Width
- 140mm
- Subject
- Mathematics
- Item Weight
- 238g
- Number of Pages
- 211 Pages
About this product
Product Information
One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyses the concepts of canlinality and ordinality. He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the smallest transfinite cardinal number, the ordinal types of simply ordered aggregates, operations on ordinal types, the ordinal type of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers.An 82-page introduction by the eminent mathematical historian Philip E. B. Jourdain first sketches the background of Cantor's theory, discussing the contributions of such predecessors as Veicrstrass, Cauchy, Dedekind, Dirichlet, Riemann, Fourier, and Hankel; it then traces the development of the theory by summarizing and analysing Cantor's earlier work. A bibliographical note provides information on further investigations in the theory of transfinite numbers by Frege, Peano, Whitehead, Russell, etc. Would serve as well as any modern textto initiate a student in this exciting branch of mathematics. - Mathematical Gazette.
Product Identifiers
Publisher
Dover Publications Inc.
ISBN-13
9780486600451
eBay Product ID (ePID)
88971606
Product Key Features
Publication Name
Contributions to the Founding of the Theory of Transfinite Numbers
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1999
Type
Textbook
Number of Pages
211 Pages
Dimensions
Item Height
220mm
Item Width
140mm
Item Weight
238g
Additional Product Features
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States
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