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[null,"1.","Record Nr.",null,"UNINA9910825482203321"]
[null,null,"Autore",null,"Faticoni Theodore G (Theodore Gerard), <1954->"]
[null,null,"Titolo",null,"The mathematics of infinity : a guide to great ideas / / Theodore G. Faticoni"]
[null,null,"Pubbl/distr/stampa",null,"Hoboken, N.J., : John Wiley & Sons, c2012"]
[null,null,"ISBN",null,"9786613622389"]
[{"$nulls":4},"9781280592553"]
[{"$nulls":4},"1280592559"]
[{"$nulls":4},"9781118243855"]
[{"$nulls":4},"1118243854"]
[{"$nulls":4},"9781118243879"]
[{"$nulls":4},"1118243870"]
[{"$nulls":4},"9781118243824"]
[{"$nulls":4},"111824382X"]
[null,null,"Edizione",null,"[2nd ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (360 p.)"]
[null,null,"Collana",null,"Pure and applied mathematics"]
[null,null,"Classificazione",null,"MAT016000"]
[null,null,"Disciplina",null,"511.3/22"]
[null,null,"Soggetti",null,"Cardinal numbers"]
[{"$nulls":4},"Infinite"]
[{"$nulls":4},"Set theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"The Mathematics of Infinity: A Guide to Great Ideas; Contents; Preface for the Second Edition; 1 Logic; 1.1 Axiomatic Method; 1.2 Tabular Logic; 1.3 Tautology; 1.4 Logical Strategies; 1.5 Implications From Implications; 1.6 Universal Quantifiers; 1.7 Fun With Language and Logic; 2 Sets; 2.1 Elements and Predicates; 2.2 Equality; 2.3 Cartesian Products; 2.4 Power Sets; 2.5 Something From Nothing; 2.6 Indexed Families of Sets; 3 Functions; 3.1 Functional Preliminaries; 3.2 Images and Preimages; 3.3 One-to-One and Onto Functions; 3.4 Bijections; 3.5 Inverse Functions; 4 Counting Infinite Sets"]
[{"$nulls":4},"4.1 Finite Sets 4.2 Hilbert's Infinite Hotel; 4.3 Equivalent Sets and Cardinality; 5 Infinite Cardinals; 5.1 Countable Sets; 5.2 Uncountable Sets; 5.3 Two Infinities; 5.4 Power Sets; 5.5 The Arithmetic of Cardinals; 6 Well-Ordered Sets; 6.1 Successors of Elements; 6.2 Constructing Well Ordered Sets; 6.3 Cardinals as Ordinals; 6.4 Magnitude versus Cardinality; 7 Inductions and Numbers; 7.1 Mathematical Induction; 7.2 "]
[{"$nulls":4},"Sums of Powers of Integers; 7.3 Transfinite Induction; 7.4 Mathematical Recursion; 7.5 Number Theory; 7.6 The Fundamental Theorem of Arithmetic; 7.7 Perfect Numbers"]
[{"$nulls":4},"8 Prime Numbers 8.1 Prime Number Generators; 8.2 The Prime Number Theorem; 8.3 Products of Geometric Series; 8.4 The Riemann Zeta Function; 8.5 Real Numbers; 9 Logic and Meta-Mathematics; 9.1 The Collection of All Sets; 9.2 Other Than True or False; 9.3 The Logic of A Theory of Everything; 9.3.1 Gödel's Incompleteness Theorem; 9.3.2 Logically Closed Sets; 9.3.3 Applications; Bibliography; Index"]
[null,null,null,"Sommario/riassunto","Praise for the First Edition  \"\". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.\"\"-Computing Reviews  \"\". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended.\"\"-Choice  The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these idea"]