Thinking geometrically: a survey of geometries
A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education. A self-contained, comprehensive survey of college geometry that can serve a wide range of courses for students of mathematics and mathematics education....
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, D.C.
Mathematical Association of America
[2015]
|
| Schriftenreihe: | MAA Press textbooks
|
| Schlagworte: | |
| Zusammenfassung: | A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education. A self-contained, comprehensive survey of college geometry that can serve a wide range of courses for students of mathematics and mathematics education. Topics include Euclidean geometry, axiomatic systems, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, and differential geometry, while connections between topics are emphasised throughout. This is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices provide material in Euclid's first book as well as Hilbert's axioms, and give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters -- Provided by publisher |
| Beschreibung: | Appendices: pages 491-514 Includes bibliographical references and index |
| Beschreibung: | xxiii, 559 Seiten Illustrationen, Diagramme, Karte |
| ISBN: | 9781939512086 |
Internformat
MARC
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| 245 | 1 | 0 | |a Thinking geometrically |b a survey of geometries |c Thomas Q. Sibley, St. John's University |
| 264 | 1 | |a Washington, D.C. |b Mathematical Association of America |c [2015] | |
| 264 | 4 | |c © 2015 | |
| 300 | |a xxiii, 559 Seiten |b Illustrationen, Diagramme, Karte | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a MAA Press textbooks | |
| 500 | |a Appendices: pages 491-514 | ||
| 500 | |a Includes bibliographical references and index | ||
| 505 | 8 | |a 1. Euclidean Geometry -- 2. Axiomatic Systems -- 3. Analytic Geometry -- 4. Non-Euclidean Geometries -- 5. Transformational Geometry -- 6. Symmetry -- 7. Projective Geometry -- 8. Finite Geometries -- 9. Differential Geometry -- 10. Discrete Geometry -- 11. Epilogue -- A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid's Elements -- B. SMSG Axioms for Euclidean Geometry -- C. Hilbert's Axioms for Euclidean Plane Geometry -- D. Linear Algebra Summary -- E. Multivariable Calculus Summary -- F. Elements of Proofs -- Answers to Selected Exercises | |
| 520 | |a A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education. A self-contained, comprehensive survey of college geometry that can serve a wide range of courses for students of mathematics and mathematics education. Topics include Euclidean geometry, axiomatic systems, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, and differential geometry, while connections between topics are emphasised throughout. This is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices provide material in Euclid's first book as well as Hilbert's axioms, and give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters -- Provided by publisher | ||
| 650 | 4 | |a Geometry | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-61444-619-4 |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028899853 | ||
Datensatz im Suchindex
| _version_ | 1804176107236229120 |
|---|---|
| any_adam_object | |
| author | Sibley, Thomas Q. |
| author_GND | (DE-588)1096358972 |
| author_facet | Sibley, Thomas Q. |
| author_role | aut |
| author_sort | Sibley, Thomas Q. |
| author_variant | t q s tq tqs |
| building | Verbundindex |
| bvnumber | BV043483135 |
| classification_rvk | SK 380 |
| contents | 1. Euclidean Geometry -- 2. Axiomatic Systems -- 3. Analytic Geometry -- 4. Non-Euclidean Geometries -- 5. Transformational Geometry -- 6. Symmetry -- 7. Projective Geometry -- 8. Finite Geometries -- 9. Differential Geometry -- 10. Discrete Geometry -- 11. Epilogue -- A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid's Elements -- B. SMSG Axioms for Euclidean Geometry -- C. Hilbert's Axioms for Euclidean Plane Geometry -- D. Linear Algebra Summary -- E. Multivariable Calculus Summary -- F. Elements of Proofs -- Answers to Selected Exercises |
| ctrlnum | (OCoLC)935934794 (DE-599)BVBBV043483135 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043483135 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:26:55Z |
| institution | BVB |
| isbn | 9781939512086 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028899853 |
| oclc_num | 935934794 |
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| owner | DE-12 DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-12 DE-19 DE-BY-UBM DE-20 |
| physical | xxiii, 559 Seiten Illustrationen, Diagramme, Karte |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Mathematical Association of America |
| record_format | marc |
| series2 | MAA Press textbooks |
| spelling | Sibley, Thomas Q. Verfasser (DE-588)1096358972 aut Thinking geometrically a survey of geometries Thomas Q. Sibley, St. John's University Washington, D.C. Mathematical Association of America [2015] © 2015 xxiii, 559 Seiten Illustrationen, Diagramme, Karte txt rdacontent n rdamedia nc rdacarrier MAA Press textbooks Appendices: pages 491-514 Includes bibliographical references and index 1. Euclidean Geometry -- 2. Axiomatic Systems -- 3. Analytic Geometry -- 4. Non-Euclidean Geometries -- 5. Transformational Geometry -- 6. Symmetry -- 7. Projective Geometry -- 8. Finite Geometries -- 9. Differential Geometry -- 10. Discrete Geometry -- 11. Epilogue -- A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid's Elements -- B. SMSG Axioms for Euclidean Geometry -- C. Hilbert's Axioms for Euclidean Plane Geometry -- D. Linear Algebra Summary -- E. Multivariable Calculus Summary -- F. Elements of Proofs -- Answers to Selected Exercises A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education. A self-contained, comprehensive survey of college geometry that can serve a wide range of courses for students of mathematics and mathematics education. Topics include Euclidean geometry, axiomatic systems, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, and differential geometry, while connections between topics are emphasised throughout. This is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices provide material in Euclid's first book as well as Hilbert's axioms, and give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters -- Provided by publisher Geometry Geometry fast Erscheint auch als Online-Ausgabe 978-1-61444-619-4 |
| spellingShingle | Sibley, Thomas Q. Thinking geometrically a survey of geometries 1. Euclidean Geometry -- 2. Axiomatic Systems -- 3. Analytic Geometry -- 4. Non-Euclidean Geometries -- 5. Transformational Geometry -- 6. Symmetry -- 7. Projective Geometry -- 8. Finite Geometries -- 9. Differential Geometry -- 10. Discrete Geometry -- 11. Epilogue -- A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid's Elements -- B. SMSG Axioms for Euclidean Geometry -- C. Hilbert's Axioms for Euclidean Plane Geometry -- D. Linear Algebra Summary -- E. Multivariable Calculus Summary -- F. Elements of Proofs -- Answers to Selected Exercises Geometry Geometry fast |
| title | Thinking geometrically a survey of geometries |
| title_auth | Thinking geometrically a survey of geometries |
| title_exact_search | Thinking geometrically a survey of geometries |
| title_full | Thinking geometrically a survey of geometries Thomas Q. Sibley, St. John's University |
| title_fullStr | Thinking geometrically a survey of geometries Thomas Q. Sibley, St. John's University |
| title_full_unstemmed | Thinking geometrically a survey of geometries Thomas Q. Sibley, St. John's University |
| title_short | Thinking geometrically |
| title_sort | thinking geometrically a survey of geometries |
| title_sub | a survey of geometries |
| topic | Geometry Geometry fast |
| topic_facet | Geometry |
| work_keys_str_mv | AT sibleythomasq thinkinggeometricallyasurveyofgeometries |