ISBN: 9780387949949

This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.… More...

This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. To most beginners, Topology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. To mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Topological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Topology preeminently is a subject with an extensive ar­ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. To meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com­plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric., Springer<

ISBN: 9780387949949

gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the pl… More...

gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of Extras at the end of each chapter presenting a brief foray outside topology. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer New York Core >2 >T<

1997, ISBN: 9780387949949

Springer, Hardcover, Auflage: 1997, 324 Seiten, Publiziert: 1997-08-15T00:00:01Z, Produktgruppe: Book, 1.42 kg, Verkaufsrang: 3039352, Geometry & Topology, Mathematics, Science & Math, Su… More...

Springer, Hardcover, Auflage: 1997, 324 Seiten, Publiziert: 1997-08-15T00:00:01Z, Produktgruppe: Book, 1.42 kg, Verkaufsrang: 3039352, Geometry & Topology, Mathematics, Science & Math, Subjects, Books, Set Theory, Pure Mathematics, Textbook Rental ASINs, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_9001, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_0, Special Features Stores, Arborist Merchandising Root, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_3501, Science & Mathematics, New, Used & Rental Textbooks, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_1301, Unknown, Type, Springer, 1997<

1997, ISBN: 9780387949949

Springer, Hardcover, Auflage: 1997, 324 Seiten, Publiziert: 1997-08-15T00:00:01Z, Produktgruppe: Book, 1.42 kg, Verkaufsrang: 3039352, Geometry & Topology, Mathematics, Science & Math, Su… More...

Springer, Hardcover, Auflage: 1997, 324 Seiten, Publiziert: 1997-08-15T00:00:01Z, Produktgruppe: Book, 1.42 kg, Verkaufsrang: 3039352, Geometry & Topology, Mathematics, Science & Math, Subjects, Books, Set Theory, Pure Mathematics, Textbook Rental ASINs, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_9001, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_0, Special Features Stores, Arborist Merchandising Root, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_3501, Science & Mathematics, New, Used & Rental Textbooks, 34875086-8a6a-4dfe-b095-4d85fb30b3ba_1301, Unknown, Type, Springer, 1997<

1997, ISBN: 0387949941

1997 Gebundene Ausgabe Topologie - Differenzialtopologie, Compact space; compactification; Connected space; Mathematica; PostScript; Boundary Element Method; compactness; Geometry; know… More...

1997 Gebundene Ausgabe Topologie - Differenzialtopologie, Compact space; compactification; Connected space; Mathematica; PostScript; Boundary Element Method; compactness; Geometry; knowledge; Learning; meager set; metrics; Set; sets; Topology, mit Schutzumschlag 11, [PU:Springer New York; Springer US]<