Numbers and Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Undergraduate Texts in Mathematics, Reading in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high school algebra and therefore can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics because it is such an attractive and unusual treatment of fundamental topics. Also, it will serve admirably in courses aimed at giving students from other areas a view of some of the basic ideas in mathematics. There is a set of well-written exercises at the end of each section, so new ideas can be instantly tested and reinforced |
| Beschreibung: | 1 Online-Ressource (XIV, 343 p) |
| ISBN: | 9781461206873 9781461268673 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-0687-3 |
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Datensatz im Suchindex
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| author | Stillwell, John |
| author_facet | Stillwell, John |
| author_role | aut |
| author_sort | Stillwell, John |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | BV042419592 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)869855219 (DE-599)BVBBV042419592 |
| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0687-3 |
| format | Electronic eBook |
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| isbn | 9781461206873 9781461268673 |
| issn | 0172-6056 |
| language | English |
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| series2 | Undergraduate Texts in Mathematics, Reading in Mathematics |
| spelling | Stillwell, John Verfasser aut Numbers and Geometry by John Stillwell New York, NY Springer New York 1998 1 Online-Ressource (XIV, 343 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics, Reading in Mathematics 0172-6056 NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high school algebra and therefore can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics because it is such an attractive and unusual treatment of fundamental topics. Also, it will serve admirably in courses aimed at giving students from other areas a view of some of the basic ideas in mathematics. There is a set of well-written exercises at the end of each section, so new ideas can be instantly tested and reinforced Mathematics Geometry Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Geometrie (DE-588)4020236-7 s 2\p DE-604 Zahlentheorie (DE-588)4067277-3 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-0687-3 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stillwell, John Numbers and Geometry Mathematics Geometry Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4020236-7 (DE-588)4123623-3 |
| title | Numbers and Geometry |
| title_auth | Numbers and Geometry |
| title_exact_search | Numbers and Geometry |
| title_full | Numbers and Geometry by John Stillwell |
| title_fullStr | Numbers and Geometry by John Stillwell |
| title_full_unstemmed | Numbers and Geometry by John Stillwell |
| title_short | Numbers and Geometry |
| title_sort | numbers and geometry |
| topic | Mathematics Geometry Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematics Geometry Number theory Number Theory Mathematik Zahlentheorie Geometrie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4612-0687-3 |
| work_keys_str_mv | AT stillwelljohn numbersandgeometry |