Mathematical Analysis: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1996
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur ing, where algebra deals with counting |
| Beschreibung: | 1 Online-Ressource (XIV, 335 p) |
| ISBN: | 9781461207153 9781461268796 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-0715-3 |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0715-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461207153 9781461268796 |
| issn | 0172-6056 |
| language | English |
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| spelling | Browder, Andrew Verfasser aut Mathematical Analysis An Introduction by Andrew Browder New York, NY Springer New York 1996 1 Online-Ressource (XIV, 335 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur ing, where algebra deals with counting Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Analysis (DE-588)4001865-9 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0715-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Browder, Andrew Mathematical Analysis An Introduction Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4123623-3 |
| title | Mathematical Analysis An Introduction |
| title_auth | Mathematical Analysis An Introduction |
| title_exact_search | Mathematical Analysis An Introduction |
| title_full | Mathematical Analysis An Introduction by Andrew Browder |
| title_fullStr | Mathematical Analysis An Introduction by Andrew Browder |
| title_full_unstemmed | Mathematical Analysis An Introduction by Andrew Browder |
| title_short | Mathematical Analysis |
| title_sort | mathematical analysis an introduction |
| title_sub | An Introduction |
| topic | Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Cell aggregation / Mathematics Real Functions Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Analysis Lehrbuch |
| url | https://doi.org/10.1007/978-1-4612-0715-3 |
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