An episodic history of mathematics: mathematical culture through problem solving
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, DC]
Mathematical Association of America
c2010
|
| Schriftenreihe: | MAA textbooks
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 365-369) and index The ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography "An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description |
| Beschreibung: | 1 Online-Ressource (xiii, 381 p.) |
| ISBN: | 0883857669 1614446059 9780883857663 9781614446057 |
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Datensatz im Suchindex
| _version_ | 1804175647046631424 |
|---|---|
| any_adam_object | |
| author | Krantz, Steven G., (Steven George) |
| author_facet | Krantz, Steven G., (Steven George) |
| author_role | aut |
| author_sort | Krantz, Steven G., (Steven George) |
| author_variant | s g s g k sgsg sgsgk |
| building | Verbundindex |
| bvnumber | BV043168868 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)811562988 (DE-599)BVBBV043168868 |
| dewey-full | 510.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.9 |
| dewey-search | 510.9 |
| dewey-sort | 3510.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte gnd |
| era_facet | Geschichte |
| format | Electronic eBook |
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| id | DE-604.BV043168868 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:36Z |
| institution | BVB |
| isbn | 0883857669 1614446059 9780883857663 9781614446057 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028593059 |
| oclc_num | 811562988 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 381 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
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| publishDateSort | 2010 |
| publisher | Mathematical Association of America |
| record_format | marc |
| series2 | MAA textbooks |
| spelling | Krantz, Steven G., (Steven George) Verfasser aut An episodic history of mathematics mathematical culture through problem solving Steven G. Krantz [Washington, DC] Mathematical Association of America c2010 1 Online-Ressource (xiii, 381 p.) txt rdacontent c rdamedia cr rdacarrier MAA textbooks Includes bibliographical references (p. 365-369) and index The ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography "An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description Geschichte gnd rswk-swf Wiskunde gtt Wiskundigen gtt MATHEMATICS / History & Philosophy bisacsh Mathematicians fast Mathematics fast Mathematics / Study and teaching (Higher) fast Geschichte Mathematik Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc Mathematics Study and teaching (Higher) Mathematicians Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Geschichte z 1\p DE-604 Mathematical Association of America Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=481553 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krantz, Steven G., (Steven George) An episodic history of mathematics mathematical culture through problem solving Wiskunde gtt Wiskundigen gtt MATHEMATICS / History & Philosophy bisacsh Mathematicians fast Mathematics fast Mathematics / Study and teaching (Higher) fast Geschichte Mathematik Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc Mathematics Study and teaching (Higher) Mathematicians Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | An episodic history of mathematics mathematical culture through problem solving |
| title_auth | An episodic history of mathematics mathematical culture through problem solving |
| title_exact_search | An episodic history of mathematics mathematical culture through problem solving |
| title_full | An episodic history of mathematics mathematical culture through problem solving Steven G. Krantz |
| title_fullStr | An episodic history of mathematics mathematical culture through problem solving Steven G. Krantz |
| title_full_unstemmed | An episodic history of mathematics mathematical culture through problem solving Steven G. Krantz |
| title_short | An episodic history of mathematics |
| title_sort | an episodic history of mathematics mathematical culture through problem solving |
| title_sub | mathematical culture through problem solving |
| topic | Wiskunde gtt Wiskundigen gtt MATHEMATICS / History & Philosophy bisacsh Mathematicians fast Mathematics fast Mathematics / Study and teaching (Higher) fast Geschichte Mathematik Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc Mathematics Study and teaching (Higher) Mathematicians Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Wiskunde Wiskundigen MATHEMATICS / History & Philosophy Mathematicians Mathematics Mathematics / Study and teaching (Higher) Geschichte Mathematik Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc Mathematics Study and teaching (Higher) |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=481553 |
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