Foundations of Analysis

Name: Foundations of Analysis
Price: 30.12 USD
Availability: InStock
ISBN: 9780821826935

ISBN-10: 082182693X

ISBN-13: 9780821826935

Edition: 3rd 2001 (Revised)

Authors: Edmund Landau

List price: $32.00

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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.

Book details

List price: $32.00
Edition: 3rd
Copyright year: 2001
Publisher: American Mathematical Society
Publication date: 4/30/2001
Binding: Hardcover
Pages: 136
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 1.056
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