Authors:
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
Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (8 chapters)
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Front Matter
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Proofs
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Front Matter
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Fundamentals
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Front Matter
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FUNDAMENTALS
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Extras
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Front Matter
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EXTRAS
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Back Matter
About this book
Reviews
“This is a well-written book, based on very sound pedagogical ideas. It would be an excellent choice as a textbook for a ‘transition’ course.” (Margret Höft, zbMATH 1012.00013, 2021)
“The contents of the book is organized in three parts … . this is a nice book, which also this reviewer has used with profit in his teaching of beginner students. It is written in a highly pedagogical style and based upon valuable didactical ideas.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 174, 2014)
“Books in this category are meant to teach mathematical topics and techniques that will become valuable in more advanced courses. This book meets these criteria. … This book is well suited as a textbook for a transitional course between calculus and more theoretical courses. I also recommend it for academic libraries.” (Edgar R. Chavez, ACM Computing Reviews, February, 2012)
“This is an improved edition of a good book that can serve in the undergraduate curriculum as a bridge between computationally oriented courses like calculus and more abstract courses like algebra.” (Teun Koetsier, Zentralblatt MATH, Vol. 1230, 2012)
Authors and Affiliations
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, Department of Mathematics, Bard College, Annandale-on-Hudson, USA
Ethan D. Bloch
About the author
Bibliographic Information
Book Title: Proofs and Fundamentals
Book Subtitle: A First Course in Abstract Mathematics
Authors: Ethan D. Bloch
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-7127-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-7126-5Published: 21 February 2011
Softcover ISBN: 978-1-4614-2810-7Published: 19 April 2013
eBook ISBN: 978-1-4419-7127-2Published: 15 February 2011
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 2
Number of Pages: XXVI, 358
Topics: Mathematical Logic and Foundations, Algebra, Combinatorics