The Resource A friendly introduction to number theory, Joseph H. Silverman

A friendly introduction to number theory, Joseph H. Silverman

Label
A friendly introduction to number theory
Title
A friendly introduction to number theory
Statement of responsibility
Joseph H. Silverman
Creator
Subject
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorDate
1955-
http://library.link/vocab/creatorName
Silverman, Joseph H.
Illustrations
illustrations
Index
index present
LC call number
QA241
LC item number
.S497 2001
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Number theory
  • Nombres, Théorie des
  • Number theory
  • Getaltheorie
Label
A friendly introduction to number theory, Joseph H. Silverman
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 371) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
What is number theory? -- Pythagorean triples -- Pythagorean triples and the unit circle -- Sums of higher powers and Fermat's Last Theorem -- Divisibility and the greatest common divisor -- Linear equations and the greatest common divisor -- Factorization and the fundamental theorem of arithmetic -- Congruences -- Congruences, powers, and Fermat's Little Theorem -- Congruences, powers, and Euler's Formula -- Euler's Phi function -- Prime numbers -- Counting primes -- Mersenne primes -- Mersonne primes and perfect numbers -- Powers modulo m and successive squaring -- Computing Kth roots modulo m -- Powers, roots, and "unbreakable" codes -- Euler's phi function and sums of divisors -- Powers modulo p and primitive roots -- Primitive roots and indices -- Squares modulo p -- Is -1 a square modulo p? Is 2? -- Quadratic reciprocity -- Which primes are sums of two squares? -- Which numbers are sums of two squares? -- The equation X4 + Y4 = Z4 -- Square-triangular numbers revisited -- Pell's equation -- Diophantine approximation -- Diophantine approximation and Pell's equation -- Primality testing and Carmichael numbers -- The Gaussian integers and unique factorization -- Irrational numbers and transcendental numbers -- Binomial coefficients and Pascal's triangle -- Fibanacci's rabbits and linear recurrence sequences -- Generating functions -- Sums of powers -- Cubic curves with elliptic curves -- Elliptic curves with few rational points -- Points on elliptic curves modulo p -- Torsion collections modulo p and bad primes -- Defect bounds and modularity patterns -- Elliptic curves and Fermat's last theorem
Dimensions
24 cm
Edition
2nd ed.
Extent
vii, 386 pages
Isbn
9780130309549
Lccn
00051641
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)45209126
  • (OCoLC)ocm45209126
Label
A friendly introduction to number theory, Joseph H. Silverman
Publication
Bibliography note
Includes bibliographical references (p. 371) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
What is number theory? -- Pythagorean triples -- Pythagorean triples and the unit circle -- Sums of higher powers and Fermat's Last Theorem -- Divisibility and the greatest common divisor -- Linear equations and the greatest common divisor -- Factorization and the fundamental theorem of arithmetic -- Congruences -- Congruences, powers, and Fermat's Little Theorem -- Congruences, powers, and Euler's Formula -- Euler's Phi function -- Prime numbers -- Counting primes -- Mersenne primes -- Mersonne primes and perfect numbers -- Powers modulo m and successive squaring -- Computing Kth roots modulo m -- Powers, roots, and "unbreakable" codes -- Euler's phi function and sums of divisors -- Powers modulo p and primitive roots -- Primitive roots and indices -- Squares modulo p -- Is -1 a square modulo p? Is 2? -- Quadratic reciprocity -- Which primes are sums of two squares? -- Which numbers are sums of two squares? -- The equation X4 + Y4 = Z4 -- Square-triangular numbers revisited -- Pell's equation -- Diophantine approximation -- Diophantine approximation and Pell's equation -- Primality testing and Carmichael numbers -- The Gaussian integers and unique factorization -- Irrational numbers and transcendental numbers -- Binomial coefficients and Pascal's triangle -- Fibanacci's rabbits and linear recurrence sequences -- Generating functions -- Sums of powers -- Cubic curves with elliptic curves -- Elliptic curves with few rational points -- Points on elliptic curves modulo p -- Torsion collections modulo p and bad primes -- Defect bounds and modularity patterns -- Elliptic curves and Fermat's last theorem
Dimensions
24 cm
Edition
2nd ed.
Extent
vii, 386 pages
Isbn
9780130309549
Lccn
00051641
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)45209126
  • (OCoLC)ocm45209126

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