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Advanced Mathematics
book

Advanced Mathematics

by Stanley J. Farlow
October 2019
Intermediate to advanced content levelIntermediate to advanced
480 pages
11h 18m
English
Wiley
Content preview from Advanced Mathematics

Index

a

  • Abelian group  386
  • Abel, Niels  391
  • absolute value, complex number 285
  • abstract algebra  369–370
  • abstraction  370
  • additive identity  434
  • adjacency matrix  329–330
    • definition  321
    • dominance graph  323, 324
  • aleph null 151
  • algebra  370
  • algebraically closed field 285
  • algebraic field  270, 437–438
  • algebraic functions  228
  • algebraic group  377
    • binary operation  385–387
    • Cayley table  388–390
    • definition  386
  • algebraic numbers  163–165
  • algebra of relations  192
  • algebra of sets  123
  • antecedent/premise sentence  25
  • antisymmetric relation  197–198
  • Aquinas, Thomas 143
  • Argand, Jean Robert 284
  • Aristotle  3, 143
  • arithmetic axioms for real numbers  270–271
  • arithmetic in modular arithmetic  222
  • arithmetization of analysis  40, 75
  • Ars Magna 281
  • Artin, Emil  274
  • associative operation  386, 433
  • assumption sentence  25
  • atomic sentences  6
  • axiomatic set theory  105
  • axiom of choice (AC)
    • comments on the  175–176
    • well‐ordering principle  176–177
  • axioms  52, 136

b

  • backwards compositions  235
  • backwards proof  57–59
  • Bell number  139, 215
  • Bernoulli, John  90
  • biconditional sentence  30–32
  • Bieberbach, L.  396
  • big number  129
  • bijection function 149
  • binary operation
    • associative property  386, 389
    • Cayley table  388
    • definition  385–386
    • identity element of  387
    • properties of  387
  • binary relation  184
  • binomial theorem  48
  • Birkhoff, Garrett  202
  • blood typing  194
  • Bolzano, Bernard  277
  • Boolean algebras  11
  • Boolean field  272, 279
  • Boole, George  ...
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Publisher Resources

ISBN: 9781119563518Purchase book