Exploring mathematics : an engaging introduction to proof /
Meier, John,
Exploring mathematics : an engaging introduction to proof / John Meier, Derek Smith. - xv, 324 pages : illustrations (black and white) ; 26 cm. - Cambridge mathematical textbooks. . - Cambridge mathematical textbooks. .
Includes bibliographical references and index.
Let's play! -- Discovering and presenting mathematics - Sets -- The integers and the fundamental theorem of arithmetic - Functions - Relations - Cardinality -- The real numbers -- Probability and randomness -- Algebra and symmetry - Projects -- Appendix A. Solutions, answers, or hints to in-text exercises - Index -- Bibilography.
Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity. -- Provided by publisher.
9781107128989 9781108515245
2017033465
GBB7A2269 bnb
018384690 Uk
Mathematical analysis--Study and teaching.
Proof theory--Problems, exercises, etc.
QA276 MEN QA9.54
515
Exploring mathematics : an engaging introduction to proof / John Meier, Derek Smith. - xv, 324 pages : illustrations (black and white) ; 26 cm. - Cambridge mathematical textbooks. . - Cambridge mathematical textbooks. .
Includes bibliographical references and index.
Let's play! -- Discovering and presenting mathematics - Sets -- The integers and the fundamental theorem of arithmetic - Functions - Relations - Cardinality -- The real numbers -- Probability and randomness -- Algebra and symmetry - Projects -- Appendix A. Solutions, answers, or hints to in-text exercises - Index -- Bibilography.
Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity. -- Provided by publisher.
9781107128989 9781108515245
2017033465
GBB7A2269 bnb
018384690 Uk
Mathematical analysis--Study and teaching.
Proof theory--Problems, exercises, etc.
QA276 MEN QA9.54
515