2012, ISBN: 1461268621

[EAN: 9781461268628], Neubuch, [SC: 0.0], [PU: Springer New York], COMPACT SPACE; COMPACTIFICATION; CONNECTED MATHEMATICA; POSTSCRIPT; BOUNDARY ELEMENT METHOD; COMPACTNESS; GEOMETRY; KNOW… More...

[EAN: 9781461268628], Neubuch, [SC: 0.0], [PU: Springer New York], COMPACT SPACE; COMPACTIFICATION; CONNECTED MATHEMATICA; POSTSCRIPT; BOUNDARY ELEMENT METHOD; COMPACTNESS; GEOMETRY; KNOWLEDGE; LEARNING; MEAGER SET; METRICS; SETS; TOPOLOGY, Druck auf Anfrage Neuware - Printed after ordering - 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., Books<

2012, ISBN: 9781461268628

[ED: Softcover], [PU: Springer / Springer New York / Springer, Berlin], This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient i… More...

[ED: Softcover], [PU: Springer / Springer New York / Springer, Berlin], 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. Softcover reprint of the original 1st ed. 1997. 2012. xi, 313 S. XI, 313 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2012, ISBN: 9781461268628

[ED: Taschenbuch], [PU: Springer US], 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… More...

[ED: Taschenbuch], [PU: Springer US], 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..., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 332, [GW: 505g], Softcover reprint of the original 1st ed. 1997, Banküberweisung, PayPal, [CT: Sonstiges / Sonstiges]<

ISBN: 9781461268628

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>Trade Paperback>Science>Mathematics>Mathematics, Springer New York Core >1 >T<

2012, ISBN: 1461268621

Softcover reprint of the original 1st ed. 1997 Kartoniert / Broschiert Compact space; compactification; Connected space; Mathematica; PostScript; Boundary Element Method; compactness; G… More...

Softcover reprint of the original 1st ed. 1997 Kartoniert / Broschiert 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]<