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Proofs and Fundamentals
A First Course in Abstract Mathematics, Originaltitel:Proofs and Fundementals: A First Course in Abstract Mathematics
Langbeschreibung
This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such as calculus and more theoretical courses such as linear algebra, abstract algebra, and real analysis.
Hauptbeschreibung
A gentle, friendly style is used, in which motivation and informal discussion play a key role The material is presented in the way that mathematicians actually use it; good mathematical tast is preferred to overly clever pedagogy There is an important section devoted to the proper writing of proofs
Inhaltsverzeichnis
Preface to the Second Edition.- Preface to the First Edition.- To the Student.- To the Instructor.- Part I. Proofs.- 1. Informal Logic.- 2. Strategies for Proofs.- Part II. Fundamentals.- 3. Sets.- 4. Functions.- 5. Relations.- 6. Finite and Infinite Sets.- Part III. Extras.- 7. Selected Topics.- 8. Explorations.- Appendix: Properties of Numbers.- Bibliography.- Index
Dr. Ethan D. Bloch of Bard College is the author of two Springer publications "A First Course in Geometric Topology and Differential Geometry," and the first and second editions of, "Proofs and Fundamentals: A First Course in Abstract Mathematics." More information about Dr. Ethan D. Bloch can be found on his person web page: math.bard.edu/bloch
ISBN-13:
9781441971265
Veröffentl:
2011
Erscheinungsdatum:
21.02.2011
Seiten:
359
Autor:
Ethan D. Bloch
Gewicht:
736 g
Format:
239x158x28 mm
Serie:
Undergraduate Texts in Mathematics
Sprache:
Englisch