Turning points in the history of mathematics:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Basel]
Birkhäuser
[2015]
|
| Series: | Compact textbooks in mathematics
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (IX, 109 Seiten, 51 illus., 13 illus. in color) |
| ISBN: | 9781493932641 |
| ISSN: | 2296-4568 |
| DOI: | 10.1007/978-1-4939-3264-1 |
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Record in the Search Index
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| adam_text | TURNING POINTS IN THE HISTORY OF MATHEMATICS
/ GRANT, HARDY
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
AXIOMATICS - EUCLID S AND HILBERT S: FROM MATERIAL TO FORMAL
SOLUTION BY RADICALS OF THE CUBIC: FROM EQUATIONS TO GROUPS AND FROM
REAL TO COMPLEX NUMBERS
ANALYTIC GEOMETRY: FROM THE MARRIAGE OF TWO FIELDS TO THE BIRTH OF A
THIRD
PROBABILITY: FROM GAMES OF CHANCE TO AN ABSTRACT THEORY
CALCULUS: FROM TANGENTS AND AREAS TO DERIVATIVES AND INTEGRALS
GAUSSIAN INTEGERS: FROM ARITHMETIC TO ARITHMETICS
NON-EUCLIDEAN GEOMETRY: FROM ONE GEOMETRY TO MANY
HYPERCOMPLEX NUMBERS: FROM ALGEBRA TO ALGEBRAS
THE INFINITE: FROM POTENTIAL TO ACTUAL
PHILOSOPHY OF MATHEMATICS: FROM HILBERT TO GOEDEL
SOME FURTHER TURNING POINTS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TURNING POINTS IN THE HISTORY OF MATHEMATICS
/ GRANT, HARDY
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK EXPLORES SOME OF THE MAJOR TURNING POINTS IN THE HISTORY OF
MATHEMATICS, RANGING FROM ANCIENT GREECE TO THE PRESENT, DEMONSTRATING
THE DRAMA THAT HAS OFTEN BEEN A PART OF ITS EVOLUTION. STUDYING THESE
BREAKTHROUGHS, TRANSITIONS, AND REVOLUTIONS, THEIR STUMBLING-BLOCKS AND
THEIR TRIUMPHS, CAN HELP ILLUMINATE THE IMPORTANCE OF THE HISTORY OF
MATHEMATICS FOR ITS TEACHING, LEARNING, AND APPRECIATION. SOME OF THE
TURNING POINTS CONSIDERED ARE THE RISE OF THE AXIOMATIC METHOD (MOST
FAMOUSLY IN EUCLID), AND THE SUBSEQUENT MAJOR CHANGES IN IT (FOR
EXAMPLE, BY DAVID HILBERT); THE “WEDDING,” VIA ANALYTIC GEOMETRY, OF
ALGEBRA AND GEOMETRY; THE “TAMING” OF THE INFINITELY SMALL AND THE
INFINITELY LARGE; THE PASSAGES FROM ALGEBRA TO ALGEBRAS, FROM GEOMETRY
TO GEOMETRIES, AND FROM ARITHMETIC TO ARITHMETICS; AND THE REVOLUTIONS
IN THE LATE NINETEENTH AND EARLY TWENTIETH CENTURIES THAT RESULTED FROM
GEORG CANTOR’S CREATION OF TRANSFINITE SET THEORY. THE ORIGIN OF EACH
TURNING POINT IS DISCUSSED, ALONG WITH THE MATHEMATICIANS INVOLVED AND
SOME OF THE MATHEMATICS THAT RESULTED. PROBLEMS AND PROJECTS ARE
INCLUDED IN EACH CHAPTER TO EXTEND AND INCREASE UNDERSTANDING OF THE
MATERIAL. SUBSTANTIAL REFERENCE LISTS ARE ALSO PROVIDED. TURNING POINTS
IN THE HISTORY OF MATHEMATICS WILL BE A VALUABLE RESOURCE FOR TEACHERS
OF, AND STUDENTS IN, COURSES IN MATHEMATICS OR ITS HISTORY. THE BOOK
SHOULD ALSO BE OF INTEREST TO ANYONE WITH A BACKGROUND IN MATHEMATICS
WHO WISHES TO LEARN MORE ABOUT THE IMPORTANT MOMENTS IN ITS DEVELOPMENT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Grant, Hardy Kleiner, Israel |
| author_GND | (DE-588)1104858924 (DE-588)133618234 |
| author_facet | Grant, Hardy Kleiner, Israel |
| author_role | aut aut |
| author_sort | Grant, Hardy |
| author_variant | h g hg i k ik |
| building | Verbundindex |
| bvnumber | BV043546927 |
| classification_rvk | SG 500 |
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| 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 |
| doi_str_mv | 10.1007/978-1-4939-3264-1 |
| format | Electronic eBook |
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| isbn | 9781493932641 |
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| spelling | Grant, Hardy Verfasser (DE-588)1104858924 aut Turning points in the history of mathematics Hardy Grant, Israel Kleiner [Basel] Birkhäuser [2015] © 2016 1 Online-Ressource (IX, 109 Seiten, 51 illus., 13 illus. in color) txt rdacontent c rdamedia cr rdacarrier Compact textbooks in mathematics 2296-4568 Mathematics Algebra Geometry History Social sciences Mathematics / Study and teaching History of Mathematical Sciences Mathematics Education Mathematics in the Humanities and Social Sciences Geschichte Mathematik Sozialwissenschaften Kleiner, Israel Verfasser (DE-588)133618234 aut Erscheint auch als Druckausgabe 978-1-4939-3263-4 https://doi.org/10.1007/978-1-4939-3264-1 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028962290&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028962290&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Grant, Hardy Kleiner, Israel Turning points in the history of mathematics Mathematics Algebra Geometry History Social sciences Mathematics / Study and teaching History of Mathematical Sciences Mathematics Education Mathematics in the Humanities and Social Sciences Geschichte Mathematik Sozialwissenschaften |
| title | Turning points in the history of mathematics |
| title_auth | Turning points in the history of mathematics |
| title_exact_search | Turning points in the history of mathematics |
| title_full | Turning points in the history of mathematics Hardy Grant, Israel Kleiner |
| title_fullStr | Turning points in the history of mathematics Hardy Grant, Israel Kleiner |
| title_full_unstemmed | Turning points in the history of mathematics Hardy Grant, Israel Kleiner |
| title_short | Turning points in the history of mathematics |
| title_sort | turning points in the history of mathematics |
| topic | Mathematics Algebra Geometry History Social sciences Mathematics / Study and teaching History of Mathematical Sciences Mathematics Education Mathematics in the Humanities and Social Sciences Geschichte Mathematik Sozialwissenschaften |
| topic_facet | Mathematics Algebra Geometry History Social sciences Mathematics / Study and teaching History of Mathematical Sciences Mathematics Education Mathematics in the Humanities and Social Sciences Geschichte Mathematik Sozialwissenschaften |
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