Kooperativer Bibliotheksverbund

UID:

Format: 1 Online-Ressource (XX, 305 Seiten, 26 illus., 1 illus. in color).

ISBN: 978-3-319-53385-8

Series Statement: Mathematics, culture, and the arts

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-53383-4

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift ; Konferenzschrift ; Konferenzschrift

DOI: 10.1007/978-3-319-53385-8

URL: Volltext  (URL des Erstveröffentlichers)

URL: Volltext  (URL des Erstveröffentlichers)

URL: lizenzpflichtig

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Inhaltsverzeichnis

URL: Inhaltstext

UID:

Format: xi, 258 Seiten : , Illustrationen, Diagramme.

Edition: 1. Auflage

ISBN: 978-3-446-26405-2 , 3-446-26405-1

Uniform Title: 99 variations on a proof

Note: Literaturverzeichnis: Seite 247-255

Language: German

Subjects: Mathematics

Keywords: Induktionsbeweis ; Beweis ; Mathematik ; Kubische Gleichung ; Beispielsammlung ; Humoristische Darstellung ; Beispielsammlung ; Humoristische Darstellung

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032391040&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

URL: Inhaltsverzeichnis

Author information: Niehaus, Monika, 1951-

Author information: Schuh, Bernd, 1948-

UID:

Format: 1 online resource : , 25 b/w illus. + 1 color

ISBN: 9780691185422

Content: An exploration of the art of mathematics through 99 different proofs of the same theoremThis lively and compelling book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from “Medieval,” “Topological,” and “Doggerel” to “Chromatic,” “Electrostatic,” and “Psychedelic.” Along the way, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics.Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. This mathematical take on Queneau’s Exercises in Style—a collection of 99 retellings of the same story—draws unexpected connections to everything from mysticism and technology to architecture and sign language and includes diagrams, notations, and other imagery that are as amusing as they are edifying. With a rare blend of humor and scholarly aplomb, Ording illustrates the inherent creative potential and flexibility of mathematical language despite its reputation for precision and rigor.Readers of this playful and expansive compendium of mathematical exposition and style will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Every reader, no matter their level of expertise, will discover in these proofs surprising new aspects of the mathematical landscape.

Note: Frontmatter -- , Contents -- , Preface -- , 0. Omitted -- , 1. One-Line -- , 2. Two-Column -- , 3. Illustrated -- , 4. Elementary -- , 5. Puzzle -- , 6. Axiomatic -- , 7. Found -- , 8. Prerequisite -- , 9. Monosyllabic -- , 10. Wordless -- , 11. Exam -- , 12. Ruler and Compass -- , 13. Reductio ad Absurdum -- , 14. Contrapositive -- , 15. Matrices -- , 16. Ancient -- , 17. Interpreted -- , 18. Indented -- , 19. Jargon -- , 20. Definitional -- , 21. Blackboard -- , 22. Substitution -- , 23. Symmetry -- , 24. Another Symmetry -- , 25. Open Collaborative -- , 26. Auditory -- , 27. Algorithmic -- , 28. Flow Chart -- , 29. Model -- , 30. Formulaic -- , 31. Counterexample -- , 32. Another Counterexample -- , 33 Calculus -- , 34. Medieval -- , 35. Typeset -- , 36. Social Media -- , 37. Preprint -- , 38. Parataxis -- , 39. Origami -- , 40. Induction -- , 41 Newsprint -- , 42. Analytic -- , 43. Screenplay -- , 44. Omitted with Condescension -- , 45. Verbal -- , 46. Cute -- , 47. Clever -- , 48. Computer Assisted -- , 49. Outsider -- , 50. Chromatic -- , 51. Topological -- , 52. Antiquity -- , 53. Marginalia -- , 54. Arborescent -- , 55. Prefix -- , 56. Postfix -- , 57. Calculator -- , 58. Inventor’s Paradox -- , 59. Patented -- , 60. Geometric -- , 61. Modern -- , 62. Axonometric -- , 63. Back of the Envelope -- , 64. Research Seminar -- , 65. Tea -- , 66. Hand Waving -- , 67. Approximate -- , 68. Word Problem -- , 69. Statistical -- , 70. Another Medieval -- , 71. Blog -- , 72. Translated -- , 73. Another Translated -- , 74. Another Interpreted -- , 75. Slide Rule -- , 76. Experimental -- , 77. Monte Carlo -- , 78. Probabilistic -- , 79. Intuitionist -- , 80. Paranoid -- , 81. Doggerel -- , 82. Inconsistency -- , 83. Correspondence -- , 84. Tabular -- , 85. Exhaustion -- , 86. Another Substitution -- , 87. Mechanical -- , 88. Dialogue -- , 89. Interior Monologue -- , 90. Retrograde -- , 91. Mystical -- , 92. Refereed -- , 93. Neologism -- , 94. Authority -- , 95. First Person -- , 96. Electrostatic -- , 97. Psychedelic -- , 98. Mondegreen -- , 99. Prescribed -- , Postscript -- , Acknowledgments -- , Notes -- , Sources -- , Index , In English.

Language: English

Subjects: Mathematics

DOI: 10.1515/9780691185422

URL: https://doi.org/10.1515/9780691185422

URL: Volltext  (URL des Erstveröffentlichers)

URL: Volltext  (lizenzpflichtig)

URL: Inhaltstext

UID:

Format: xx, 305 Seiten : , Illustrationen, Diagramme.

ISBN: 978-3-319-53383-4

Series Statement: Mathematics, culture, and the arts

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-319-53385-8

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift ; Konferenzschrift

UID:

Format: xi, 260 Seiten : , Illustrationen.

ISBN: 978-0-691-21897-7 , 978-0-691-15883-9

Language: English

Subjects: Mathematics

Keywords: Beweis ; Mathematik

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030872314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

URL: Inhaltstext

URL: Inhaltsverzeichnis

UID:

Format: 1 Online-Ressource (XX, 305 Seiten, 26 illus., 1 illus. in color).

ISBN: 978-3-319-53385-8

Series Statement: Mathematics, culture, and the arts

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-53383-4

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift

DOI: 10.1007/978-3-319-53385-8

URL: Volltext  (URL des Erstveröffentlichers)

UID:

Format: 1 Online-Ressource (XX, 305 Seiten, 26 illus., 1 illus. in color).

ISBN: 978-3-319-53385-8

Series Statement: Mathematics, culture, and the arts

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-53383-4

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift

DOI: 10.1007/978-3-319-53385-8

URL: Volltext  (URL des Erstveröffentlichers)

UID:

Format: 1 online resource : , 25 b/w illus. + 1 color

ISBN: 9780691185422

Content: An exploration of the art of mathematics through 99 different proofs of the same theoremThis lively and compelling book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from “Medieval,” “Topological,” and “Doggerel” to “Chromatic,” “Electrostatic,” and “Psychedelic.” Along the way, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics.Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. This mathematical take on Queneau’s Exercises in Style—a collection of 99 retellings of the same story—draws unexpected connections to everything from mysticism and technology to architecture and sign language and includes diagrams, notations, and other imagery that are as amusing as they are edifying. With a rare blend of humor and scholarly aplomb, Ording illustrates the inherent creative potential and flexibility of mathematical language despite its reputation for precision and rigor.Readers of this playful and expansive compendium of mathematical exposition and style will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Every reader, no matter their level of expertise, will discover in these proofs surprising new aspects of the mathematical landscape.

Note: Frontmatter -- , Contents -- , Preface -- , 0. Omitted -- , 1. One-Line -- , 2. Two-Column -- , 3. Illustrated -- , 4. Elementary -- , 5. Puzzle -- , 6. Axiomatic -- , 7. Found -- , 8. Prerequisite -- , 9. Monosyllabic -- , 10. Wordless -- , 11. Exam -- , 12. Ruler and Compass -- , 13. Reductio ad Absurdum -- , 14. Contrapositive -- , 15. Matrices -- , 16. Ancient -- , 17. Interpreted -- , 18. Indented -- , 19. Jargon -- , 20. Definitional -- , 21. Blackboard -- , 22. Substitution -- , 23. Symmetry -- , 24. Another Symmetry -- , 25. Open Collaborative -- , 26. Auditory -- , 27. Algorithmic -- , 28. Flow Chart -- , 29. Model -- , 30. Formulaic -- , 31. Counterexample -- , 32. Another Counterexample -- , 33 Calculus -- , 34. Medieval -- , 35. Typeset -- , 36. Social Media -- , 37. Preprint -- , 38. Parataxis -- , 39. Origami -- , 40. Induction -- , 41 Newsprint -- , 42. Analytic -- , 43. Screenplay -- , 44. Omitted with Condescension -- , 45. Verbal -- , 46. Cute -- , 47. Clever -- , 48. Computer Assisted -- , 49. Outsider -- , 50. Chromatic -- , 51. Topological -- , 52. Antiquity -- , 53. Marginalia -- , 54. Arborescent -- , 55. Prefix -- , 56. Postfix -- , 57. Calculator -- , 58. Inventor’s Paradox -- , 59. Patented -- , 60. Geometric -- , 61. Modern -- , 62. Axonometric -- , 63. Back of the Envelope -- , 64. Research Seminar -- , 65. Tea -- , 66. Hand Waving -- , 67. Approximate -- , 68. Word Problem -- , 69. Statistical -- , 70. Another Medieval -- , 71. Blog -- , 72. Translated -- , 73. Another Translated -- , 74. Another Interpreted -- , 75. Slide Rule -- , 76. Experimental -- , 77. Monte Carlo -- , 78. Probabilistic -- , 79. Intuitionist -- , 80. Paranoid -- , 81. Doggerel -- , 82. Inconsistency -- , 83. Correspondence -- , 84. Tabular -- , 85. Exhaustion -- , 86. Another Substitution -- , 87. Mechanical -- , 88. Dialogue -- , 89. Interior Monologue -- , 90. Retrograde -- , 91. Mystical -- , 92. Refereed -- , 93. Neologism -- , 94. Authority -- , 95. First Person -- , 96. Electrostatic -- , 97. Psychedelic -- , 98. Mondegreen -- , 99. Prescribed -- , Postscript -- , Acknowledgments -- , Notes -- , Sources -- , Index , In English.

Language: English

DOI: 10.1515/9780691185422

URL: https://doi.org/10.1515/9780691185422

UID:

Format: 258 Seiten

ISBN: 9783446264052

Content: Eine Gleichung - und 99 Spielarten der Mathematik sie zu beweisen. "Raffiniert, der Verstand hat viel zu lachen." Dietmar Dath, F.A.Z.Am Anfang stehen eine mathematische Gleichung - und 99 Lösungen. Inspiriert von den berühmten "Stilübungen", in denen eine vermeintlich öde Alltagsepisode in zahlreichen Variationen erzählt wird, macht sich Philip Ording daran, die Gültigkeit der Gleichung auf 99 Wegen zu beweisen. Trockene Algorithmen sind dabei nur der Anfang. Ording nimmt uns mit auf eine kreative Reise, auf der sich seine Gleichung musikalisch beschreiben, per Origami erfalten und auf Twitter beweisen lässt. Stilsicher und humorvoll verbindet er mathematische Expertise mit historischen, popkulturellen und schlicht unerwarteten Referenzen und entspinnt so eine einzigartige Erzählung über das Wesen der Mathematik.

Language: German

Keywords: Kubische Gleichung

Author information: Schuh, Bernd

Author information: Niehaus, Monika