An episodic history of mathematics :: mathematical culture through problem solving /
"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 exercis...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, DC] :
Mathematical Association of America,
©2010.
|
| Schriftenreihe: | MAA textbooks.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 resource (xiii, 381 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 365-369) and index. |
| ISBN: | 9781614446057 1614446059 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn811562988 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 121001s2010 dcua ob 001 0deng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCE |d OCLCQ |d YDXCP |d E7B |d OCLCA |d OCLCF |d OCLCQ |d OCL |d OCLCQ |d EBLCP |d OCLCQ |d DEBSZ |d OCLCQ |d AZK |d LOA |d JBG |d AGLDB |d MOR |d PIFAG |d MERUC |d OCLCQ |d ZCU |d U3W |d STF |d WRM |d OCLCQ |d VTS |d COCUF |d NRAMU |d ICG |d OCLCQ |d VT2 |d OCLCQ |d WYU |d DKC |d OCLCQ |d M8D |d OCLCQ |d AU@ |d UKCRE |d OCLCQ |d AJS |d CUY |d OCLCQ |d OCLCO |d OCLCQ |d INARC |d OCLCO |d OCLCL | ||
| 019 | |a 777921241 |a 923219872 |a 929120391 |a 961521763 |a 962715479 |a 966209089 |a 988460842 |a 992028364 |a 1037927138 |a 1038625922 |a 1045502799 |a 1055346001 |a 1059017327 |a 1065699654 |a 1077230420 |a 1081197103 |a 1097109855 |a 1153508276 |a 1198812065 |a 1228565642 |a 1391524178 |a 1409545102 | ||
| 020 | |a 9781614446057 |q (electronic bk.) | ||
| 020 | |a 1614446059 |q (electronic bk.) | ||
| 020 | |z 0883857669 | ||
| 020 | |z 9780883857663 | ||
| 035 | |a (OCoLC)811562988 |z (OCoLC)777921241 |z (OCoLC)923219872 |z (OCoLC)929120391 |z (OCoLC)961521763 |z (OCoLC)962715479 |z (OCoLC)966209089 |z (OCoLC)988460842 |z (OCoLC)992028364 |z (OCoLC)1037927138 |z (OCoLC)1038625922 |z (OCoLC)1045502799 |z (OCoLC)1055346001 |z (OCoLC)1059017327 |z (OCoLC)1065699654 |z (OCoLC)1077230420 |z (OCoLC)1081197103 |z (OCoLC)1097109855 |z (OCoLC)1153508276 |z (OCoLC)1198812065 |z (OCoLC)1228565642 |z (OCoLC)1391524178 |z (OCoLC)1409545102 | ||
| 050 | 4 | |a QA21 |b .K72 2010eb | |
| 072 | 7 | |a MAT |x 015000 |2 bisacsh | |
| 082 | 7 | |a 510.9 |2 22 | |
| 084 | |a 31.01 |2 bcl | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Krantz, Steven G. |q (Steven George), |d 1951- |1 https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd |0 http://id.loc.gov/authorities/names/n81051364 | |
| 245 | 1 | 3 | |a An episodic history of mathematics : |b mathematical culture through problem solving / |c Steven G. Krantz. |
| 260 | |a [Washington, DC] : |b Mathematical Association of America, |c ©2010. | ||
| 300 | |a 1 online resource (xiii, 381 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a MAA textbooks | |
| 504 | |a Includes bibliographical references (pages 365-369) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |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 | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Mathematics |x History |x Study and teaching (Higher) | |
| 650 | 0 | |a Mathematics |v Problems, exercises, etc. |0 http://id.loc.gov/authorities/subjects/sh85082154 | |
| 650 | 0 | |a Mathematics |x Study and teaching (Higher) | |
| 650 | 0 | |a Mathematicians. |0 http://id.loc.gov/authorities/subjects/sh85082138 | |
| 650 | 6 | |a Mathématiciens. | |
| 650 | 7 | |a mathematicians. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x History & Philosophy. |2 bisacsh | |
| 650 | 7 | |a Mathematicians |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Mathematics |x Study and teaching (Higher) |2 fast | |
| 650 | 1 | 7 | |a Wiskunde. |2 gtt |
| 650 | 1 | 7 | |a Wiskundigen. |2 gtt |
| 655 | 2 | |a Problems and Exercises |0 https://id.nlm.nih.gov/mesh/D020497 | |
| 655 | 7 | |a exercise books. |2 aat | |
| 655 | 7 | |a History |2 fast | |
| 655 | 7 | |a Problems and exercises |2 fast | |
| 655 | 7 | |a Problems and exercises. |2 lcgft |0 http://id.loc.gov/authorities/genreForms/gf2014026154 | |
| 655 | 7 | |a Problèmes et exercices. |2 rvmgf | |
| 710 | 2 | |a Mathematical Association of America. |0 http://id.loc.gov/authorities/names/n79105844 | |
| 758 | |i has work: |a An episodic history of mathematics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGT6GRVYm7RX7c3Wmd36Vd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Krantz, Steven G. (Steven George), 1951- |t Episodic history of mathematics. |d [Washington, DC] : Mathematical Association of America, ©2010 |z 0883857669 |w (DLC) 2010921168 |w (OCoLC)501976977 |
| 830 | 0 | |a MAA textbooks. |0 http://id.loc.gov/authorities/names/no2008011989 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481553 |3 Volltext |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL3330437 | ||
| 938 | |a ebrary |b EBRY |n ebr10733080 | ||
| 938 | |a EBSCOhost |b EBSC |n 481553 | ||
| 938 | |a YBP Library Services |b YANK |n 9674950 | ||
| 938 | |a Internet Archive |b INAR |n episodichistoryo0000kran | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn811562988 |
|---|---|
| _version_ | 1816882209602142208 |
| adam_text | |
| any_adam_object | |
| author | Krantz, Steven G. (Steven George), 1951- |
| author_GND | http://id.loc.gov/authorities/names/n81051364 |
| author_corporate | Mathematical Association of America |
| author_corporate_role | |
| author_facet | Krantz, Steven G. (Steven George), 1951- Mathematical Association of America |
| author_role | |
| author_sort | Krantz, Steven G. 1951- |
| author_variant | s g k sg sgk |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA21 |
| callnumber-raw | QA21 .K72 2010eb |
| callnumber-search | QA21 .K72 2010eb |
| callnumber-sort | QA 221 K72 42010EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)811562988 |
| 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 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06315cam a2200745 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn811562988</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">121001s2010 dcua ob 001 0deng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCE</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCA</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AZK</subfield><subfield code="d">LOA</subfield><subfield code="d">JBG</subfield><subfield code="d">AGLDB</subfield><subfield code="d">MOR</subfield><subfield code="d">PIFAG</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">ZCU</subfield><subfield code="d">U3W</subfield><subfield code="d">STF</subfield><subfield code="d">WRM</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">COCUF</subfield><subfield code="d">NRAMU</subfield><subfield code="d">ICG</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">DKC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M8D</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AU@</subfield><subfield code="d">UKCRE</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AJS</subfield><subfield code="d">CUY</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">777921241</subfield><subfield code="a">923219872</subfield><subfield code="a">929120391</subfield><subfield code="a">961521763</subfield><subfield code="a">962715479</subfield><subfield code="a">966209089</subfield><subfield code="a">988460842</subfield><subfield code="a">992028364</subfield><subfield code="a">1037927138</subfield><subfield code="a">1038625922</subfield><subfield code="a">1045502799</subfield><subfield code="a">1055346001</subfield><subfield code="a">1059017327</subfield><subfield code="a">1065699654</subfield><subfield code="a">1077230420</subfield><subfield code="a">1081197103</subfield><subfield code="a">1097109855</subfield><subfield code="a">1153508276</subfield><subfield code="a">1198812065</subfield><subfield code="a">1228565642</subfield><subfield code="a">1391524178</subfield><subfield code="a">1409545102</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781614446057</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1614446059</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0883857669</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780883857663</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)811562988</subfield><subfield code="z">(OCoLC)777921241</subfield><subfield code="z">(OCoLC)923219872</subfield><subfield code="z">(OCoLC)929120391</subfield><subfield code="z">(OCoLC)961521763</subfield><subfield code="z">(OCoLC)962715479</subfield><subfield code="z">(OCoLC)966209089</subfield><subfield code="z">(OCoLC)988460842</subfield><subfield code="z">(OCoLC)992028364</subfield><subfield code="z">(OCoLC)1037927138</subfield><subfield code="z">(OCoLC)1038625922</subfield><subfield code="z">(OCoLC)1045502799</subfield><subfield code="z">(OCoLC)1055346001</subfield><subfield code="z">(OCoLC)1059017327</subfield><subfield code="z">(OCoLC)1065699654</subfield><subfield code="z">(OCoLC)1077230420</subfield><subfield code="z">(OCoLC)1081197103</subfield><subfield code="z">(OCoLC)1097109855</subfield><subfield code="z">(OCoLC)1153508276</subfield><subfield code="z">(OCoLC)1198812065</subfield><subfield code="z">(OCoLC)1228565642</subfield><subfield code="z">(OCoLC)1391524178</subfield><subfield code="z">(OCoLC)1409545102</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA21</subfield><subfield code="b">.K72 2010eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">015000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">510.9</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.01</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krantz, Steven G.</subfield><subfield code="q">(Steven George),</subfield><subfield code="d">1951-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n81051364</subfield></datafield><datafield tag="245" ind1="1" ind2="3"><subfield code="a">An episodic history of mathematics :</subfield><subfield code="b">mathematical culture through problem solving /</subfield><subfield code="c">Steven G. Krantz.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">[Washington, DC] :</subfield><subfield code="b">Mathematical Association of America,</subfield><subfield code="c">©2010.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiii, 381 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">MAA textbooks</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 365-369) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="x">History</subfield><subfield code="x">Study and teaching (Higher)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="v">Problems, exercises, etc.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082154</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="x">Study and teaching (Higher)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematicians.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082138</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mathématiciens.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">mathematicians.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">History & Philosophy.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematicians</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="x">Study and teaching (Higher)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Wiskunde.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Wiskundigen.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="655" ind1=" " ind2="2"><subfield code="a">Problems and Exercises</subfield><subfield code="0">https://id.nlm.nih.gov/mesh/D020497</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">exercise books.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">History</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Problems and exercises</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Problems and exercises.</subfield><subfield code="2">lcgft</subfield><subfield code="0">http://id.loc.gov/authorities/genreForms/gf2014026154</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Problèmes et exercices.</subfield><subfield code="2">rvmgf</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Mathematical Association of America.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n79105844</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">An episodic history of mathematics (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGT6GRVYm7RX7c3Wmd36Vd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Krantz, Steven G. (Steven George), 1951-</subfield><subfield code="t">Episodic history of mathematics.</subfield><subfield code="d">[Washington, DC] : Mathematical Association of America, ©2010</subfield><subfield code="z">0883857669</subfield><subfield code="w">(DLC) 2010921168</subfield><subfield code="w">(OCoLC)501976977</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">MAA textbooks.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2008011989</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481553</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL3330437</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10733080</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">481553</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9674950</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">episodichistoryo0000kran</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Problems and Exercises https://id.nlm.nih.gov/mesh/D020497 exercise books. aat History fast Problems and exercises fast Problems and exercises. lcgft http://id.loc.gov/authorities/genreForms/gf2014026154 Problèmes et exercices. rvmgf |
| genre_facet | Problems and Exercises exercise books. History Problems and exercises Problems and exercises. Problèmes et exercices. |
| id | ZDB-4-EBA-ocn811562988 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:24:58Z |
| institution | BVB |
| institution_GND | http://id.loc.gov/authorities/names/n79105844 |
| isbn | 9781614446057 1614446059 |
| language | English |
| oclc_num | 811562988 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 381 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Mathematical Association of America, |
| record_format | marc |
| series | MAA textbooks. |
| series2 | MAA textbooks |
| spelling | Krantz, Steven G. (Steven George), 1951- https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd http://id.loc.gov/authorities/names/n81051364 An episodic history of mathematics : mathematical culture through problem solving / Steven G. Krantz. [Washington, DC] : Mathematical Association of America, ©2010. 1 online resource (xiii, 381 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file MAA textbooks Includes bibliographical references (pages 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 Print version record. Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Study and teaching (Higher) Mathematicians. http://id.loc.gov/authorities/subjects/sh85082138 Mathématiciens. mathematicians. aat MATHEMATICS History & Philosophy. bisacsh Mathematicians fast Mathematics fast Mathematics Study and teaching (Higher) fast Wiskunde. gtt Wiskundigen. gtt Problems and Exercises https://id.nlm.nih.gov/mesh/D020497 exercise books. aat History fast Problems and exercises fast Problems and exercises. lcgft http://id.loc.gov/authorities/genreForms/gf2014026154 Problèmes et exercices. rvmgf Mathematical Association of America. http://id.loc.gov/authorities/names/n79105844 has work: An episodic history of mathematics (Text) https://id.oclc.org/worldcat/entity/E39PCGT6GRVYm7RX7c3Wmd36Vd https://id.oclc.org/worldcat/ontology/hasWork Print version: Krantz, Steven G. (Steven George), 1951- Episodic history of mathematics. [Washington, DC] : Mathematical Association of America, ©2010 0883857669 (DLC) 2010921168 (OCoLC)501976977 MAA textbooks. http://id.loc.gov/authorities/names/no2008011989 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481553 Volltext |
| spellingShingle | Krantz, Steven G. (Steven George), 1951- An episodic history of mathematics : mathematical culture through problem solving / MAA textbooks. 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. Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Study and teaching (Higher) Mathematicians. http://id.loc.gov/authorities/subjects/sh85082138 Mathématiciens. mathematicians. aat MATHEMATICS History & Philosophy. bisacsh Mathematicians fast Mathematics fast Mathematics Study and teaching (Higher) fast Wiskunde. gtt Wiskundigen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082154 http://id.loc.gov/authorities/subjects/sh85082138 https://id.nlm.nih.gov/mesh/D020497 http://id.loc.gov/authorities/genreForms/gf2014026154 |
| 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 | episodic history of mathematics mathematical culture through problem solving |
| title_sub | mathematical culture through problem solving / |
| topic | Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Study and teaching (Higher) Mathematicians. http://id.loc.gov/authorities/subjects/sh85082138 Mathématiciens. mathematicians. aat MATHEMATICS History & Philosophy. bisacsh Mathematicians fast Mathematics fast Mathematics Study and teaching (Higher) fast Wiskunde. gtt Wiskundigen. gtt |
| topic_facet | Mathematics History Study and teaching (Higher) Mathematics Problems, exercises, etc. Mathematics Study and teaching (Higher) Mathematicians. Mathématiciens. mathematicians. MATHEMATICS History & Philosophy. Mathematicians Mathematics Wiskunde. Wiskundigen. Problems and Exercises exercise books. History Problems and exercises Problems and exercises. Problèmes et exercices. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481553 |
| work_keys_str_mv | AT krantzsteveng anepisodichistoryofmathematicsmathematicalculturethroughproblemsolving AT mathematicalassociationofamerica anepisodichistoryofmathematicsmathematicalculturethroughproblemsolving AT krantzsteveng episodichistoryofmathematicsmathematicalculturethroughproblemsolving AT mathematicalassociationofamerica episodichistoryofmathematicsmathematicalculturethroughproblemsolving |