Theory of numbers / B.M. Stewart.


2d ed.. New York : Macmillan, 1964.

Location Call Number Status Consortium Loan
George Washington
Gelman stacks
QA 241 .S8 1964 Available Request
American
WRLC Shared Collections Facility
QA241 .S8 1964 Off-site
Request
UDC
Van Ness stacks
QA241 .S8 1964 Request
Van Ness stacks
QA241 .S8 1964 Available Request
WRLC Shared Collections Facility
QA241 .S8 1964 Off-site
Request
George Mason
Fenwick stacks
QA241.S8 T5 Available Request
Subjects Nombres, TheĢorie des.
Number theory.
Zahlentheorie.
Description xiv, 383 pages : illustrations, diagrams ; 25 cm
Copyright Date 1964.
Notes Includes index.
"Bibliography and notes": pages 373-375.
Contents pt. I. An intuitive approach. Preliminary considerations -- Mathematical induction -- The division algorithm -- Number theory in the game of solitaire -- Representation of the integers -- The Euclid algorithm -- More about greatest common divisors -- The fundamental theorem of arithmetic -- Prime and composite integers -- The number-theoretic functions [tau](n) and [sigma](n) -- Multiplicative number-theoretic functions -- The bracket function -- Introduction to the congruence notation -- Linear congruences -- Diophantine equations of the first degree -- Systems of linear congruences -- The Euler-Fermat theorems -- Congruences of higher degree -- Exponents and primitive roots -- The theory of indices -- Quadratic residues and Legendre's symbol -- The quadratic reciprocity law -- Pythagorean triplets -- Homogeneous quadratic Diophantine equations -- Fermat's method of descent -- Sum of four squares -- Sum of two squares -- Egyptian fractions -- part II. An axiomatic approach. Mathematical systems and introduction to group theory -- Transformation groups -- Linear transformations and matrices -- Introduction to quadratic forms -- Congruence modulo a subgroup -- Direct products -- Rings, domains, and fields -- The fundamental theorem reconsidered -- Quotient fields -- Ordered rings -- Polynomial rings -- Modular fields -- The real field and decimal representation of rational numbers -- Continued fractions -- Peano's axioms for the natural integers -- Integers-positive, negative, and zero.
Network Numbers (OCoLC)525587
(OCoLC)ocm00525587
WorldCat Search OCLC WorldCat
WorldCat Identities Stewart, Bonnie Madison.
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