Real Numbers: An Introduction To Set Theory And Analysis

Stillwell John

ISBN 10: 3319015761 / ISBN 13: 9783319015767

Verlag: Springer, 2013

Beschreibung

Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-241828

Bibliografische Details

Titel: Real Numbers: An Introduction To Set Theory ...

Verlag: Springer

Erscheinungsdatum: 2013

Einband: Softcover

Zustand: New

Auflage: Internationale Ausgabe

Über diesen Titel

Críticas:

“This is a book of both analysis and set theory, and the analysis begins at an elementary level with the necessary treatment of completeness of the reals. ... the analysis makes it valuable to the serious student, say a senior or first-year graduate student. ... Stillwell’s book can work well as a text for the course in foundations, with its good treatment of the cardinals and ordinals. ... This enjoyable book makes the connection clear.” (James M. Cargal, The UMAP Journal, Vol. 38 (1), 2017)

“This book is an interesting introduction to set theory and real analysis embedded in properties of the real numbers. ... The 300-plus problems are frequently challenging and will interest both upper-level undergraduate students and readers with a strong mathematical background. ... A list of approximately 100 references at the end of the book will help students to further explore the topic. ... Summing Up: Recommended. Lower-division undergraduates.” (D. P. Turner, Choice, Vol. 51 (11), August, 2014)

“This is an informal look at the nature of the real numbers ... . There are extensive historical notes about the evolution of real analysis and our understanding of real numbers. ... Stillwell has deliberately set out to provide a different sort of construction where you understand what the foundation is supporting and why it is important. I think this is very successful, and his book ... is much more informative and enjoyable.” (Allen Stenger, MAA Reviews, February, 2014)

“This book will be fully appreciated by either professional mathematicians or those students, who already have passed a course in analysis or set theory. ... The book contains a quantity of motivation examples, worked examples and exercises, what makes it suitable also for self-study.” (Vladimír Janiš, zbMATH, 2014)

“The book offers a rigorous foundation of the real number system. It is intended for senior undergraduates who have already studied calculus, but a wide range of readers will find something interesting, new, or instructive in it. ... This is an extremely reader-friendly book. It is full of interesting examples, very clear explanations, historical background, applications. Each new idea comes after proper motivation.” (László Imre Szabó, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)