An episodic history of mathematics: mathematical culture through problem solving
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
MAA Press, an imprint of the American Mathematical Society
[2010]
|
| Schriftenreihe: | AMS/MAA textbooks
vol. 19 |
| Schlagworte: | |
| Online-Zugang: | DE-91 |
| 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 Seiten) Illustrationen, Diagramme |
| ISBN: | 1614446059 9781614446057 |
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| 500 | |a "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 | ||
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Datensatz im Suchindex
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| author | Krantz, Steven G. 1951- |
| author_GND | (DE-588)130535907 |
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| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.9 |
| dewey-search | 510.9 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV049590613 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:33:18Z |
| indexdate | 2024-07-20T05:36:51Z |
| institution | BVB |
| isbn | 1614446059 9781614446057 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034935292 |
| oclc_num | 1424575766 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xiii, 381 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-138-AMSM gbd_1 ZDB-138-AMSM TUM_Einzelkauf_2024 |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| publisher | MAA Press, an imprint of the American Mathematical Society |
| record_format | marc |
| series | AMS/MAA textbooks |
| series2 | AMS/MAA textbooks MAA textbooks |
| spelling | Krantz, Steven G. 1951- Verfasser (DE-588)130535907 aut An episodic history of mathematics mathematical culture through problem solving Steven G. Krantz Washington, DC MAA Press, an imprint of the American Mathematical Society [2010] 1 Online-Ressource (xiii, 381 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier AMS/MAA textbooks vol. 19 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 Erscheint auch als Druck-Ausgabe 978-0-88385-766-3 Erscheint auch als Druck-Ausgabe 0-88385-766-9 AMS/MAA textbooks vol. 19 (DE-604)BV047275716 19 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krantz, Steven G. 1951- An episodic history of mathematics mathematical culture through problem solving AMS/MAA textbooks 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_exact_search_txtP | 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) |
| volume_link | (DE-604)BV047275716 |
| work_keys_str_mv | AT krantzsteveng anepisodichistoryofmathematicsmathematicalculturethroughproblemsolving |