Foundations of Analysis

ISBN-10: 082182693X

ISBN-13: 9780821826935

Edition: 3rd 2001 (Revised)

Authors: Edmund Landau

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Description:

Why does $2 \times 2 = 4$? What are fractions? Imaginary numbers? Why do the laws of algebra hold? What are the properties of the numbers on which the Differential and Integral Calculus is based? In other words, What are numbers? And why do they have the properties we attribute to them? This work answers such questions.
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Book details

List price: $30.00
Edition: 3rd
Copyright year: 2001
Publisher: American Mathematical Society
Publication date: 4/10/2001
Binding: Hardcover
Pages: 136
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.682
Language: English

Natural Numbers
Axioms
Addition
Ordering
Multiplication
Fractions
Definition and equivalence
Ordering
Addition
Multiplication
Rational numbers and integers
Cuts
Definition
Ordering
Addition
Multiplication
Rational cuts and integral cuts
Real Numbers
Definition
Ordering
Addition
Multiplication
Dedekind's fundamental theorem
Complex Numbers
Definition
Addition
Multiplication
Subtraction
Division
Complex conjugates
Absolute value
Sums and products
Powers
Incorporation of the real numbers into the system of complex numbers
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