An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics) - Softcover

Bajnok, Béla

 
9781489995605: An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)

Inhaltsangabe

Presenting historical perspective and notes on important figures in mathematics, covering current activity in the mathematical community, and raising famous and lesser-known questions, this book shows that abstract mathematics is a vibrant, dynamic enterprise.

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Über die Autorin bzw. den Autor

Béla Bajnok is a native of Hungary, and he remains greatly influenced by the excellent education he received there. He currently holds the endowed position of Alumni Chair Professor at Gettysburg College. He is also the recipient of the Mathematical Association of America's 2012 James P. Crawford EPADEL Teaching Award.

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This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians.

Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects.

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9781461466352: An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  1461466350 ISBN 13:  9781461466352
Verlag: Springer, 2013
Hardcover