Invitation to Abstract Mathematics

Invitation to Abstract Mathematics

Bajnok, Bela

Springer Nature Switzerland AG

10/2021

442

Mole

Inglês

9783030561765

15 a 20 dias

700

Descrição não disponível.
Preface to Instructors.- Preface to Students.- Acknowledgments.- I What's Mathematics.- 1 Let's Play a Game!.- 2 What's the Name of the Game?.- 3 How to Make a Statement.- 4 What's True in Mathematics?.- A Ten Famous Conjectures.-B Ten Famous Theorems.- II The Foundations of Mathematics.- 5 Let's Be Logical!.- 6 Setting Examples.- 7 Quantifier Mechanics.- 8 Let's Be Functional!.- C The Foundations of Set Theory.- III How to Prove It.- 9 Universal Proofs.- 10 The Domino Theory.- 11 More Domino Games.- 12 Existential Proofs.- D Ten Famous Problems.- IV Advanced Math for Beginners.- 13 Mathematical Structures.- 14 Working in the Fields (and Other Structures).- 15 Group Work.- 16 Good Relations.- 17 Order, Please!.- 18 Now That's the Limit!.- 19 Sizing It Up.- 20 Infinite Delights.- 21 Number Systems Systematically.- 22 Games Are Valuable!.- E Graphic Content.- F All Games Considered.- G A Top Forty List of Math Theorems.
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Abstract mathematics textbook;Abstract mathematics game;Abstract mathematics problems;Hackenbush game;Nim game;Fundamental theorem of arithmetic;Primitives mathematics;Higher mathematics transition;Transition to higher mathematics;Math statement proof;Mathematical induction;Parallel postulate;Axiom of choice;Fundamental theorem of equivalence relations;Generalized continuum hypothesis;Hungarian approach mathematics