L bednarz (23 Ergebnisse)
Weitere BilderVerlag: International Institute for Applied Systems Analysis / Polish Academy of Sciences-Systems Research Institute, Warsaw, 1987
- Softcover
Anbieter: Aspen Book Co., Denver, CO, USAAspen Book Co.
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Ausreichend
EUR 24,25
Versand nach gratisVersand innerhalb von USAAnzahl: 1 verfügbar
Paperback. Zustand: Acceptable. Zustand des Schutzumschlags: worn with edge wear. The book shows signs of wear, particularly on the edges of the cover, indicative of its age and use. The binding remains intact, ensuring the book's durability for continued reference and study. There are no inscriptions or library markings, mainta…ining its original state.
- Softcover
Anbieter: Doucet, Libraire/Bookseller, L'Assomption, QC, KanadaDoucet, Libraire/Bookseller
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Sehr gut
EUR 15,99
EUR 12,21 VersandVersand von Kanada nach USAAnzahl: 1 verfügbar
Soft cover. Zustand: Fine. No Jacket. Les Publications du Québec, 2013. ix-215 p., illustrations. Couvertures souples. Excellente condition. 9782551252367.
Explore Texas, Texas Edition, Teacherôs Book, Level 4.
Sarah Bednarz, Catherine Clinton, Patricia L.Marshall And Pat Nickell
Verlag: Houghton Mifflin Harcourt Publishing Company, 1997
- Softcover
Anbieter: Hawking Books, Edgewood, TX, USAHawking Books
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Gut
EUR 35,72
Versand nach gratisVersand innerhalb von USAAnzahl: 1 verfügbar
Zustand: Very Good. Very Good Condition. Five star seller - Buy with confidence.
- Hardcover
Anbieter: Antiquariat Renner OHG, Albstadt, DeutschlandAntiquariat Renner OHG
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenVerbandsmitglied: BOEV
Zustand: Gebraucht - Wie neu
EUR 60,00
EUR 45,00 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Hardcover. Zustand: Wie neu. Dordrecht, Kluwer (1996). gr.8°. Some figs. XV, 345 p. Hardbound. Mathematics Education Library, volume 18.- Incl. bibliography.
- Hardcover
Anbieter: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Deutschlandbooks4less (Versandantiquariat Petra Gros GmbH & Co. KG)
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Gut
EUR 150,00
EUR 15,95 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
gebundene Ausgabe. Zustand: Gut. 345 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); Schnitt und Einband sind etwas staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend g…ut. Text in ENGLISCHER Sprache! Sprache: Englisch Gewicht in Gramm: 800.
- Softcover
Anbieter: Phatpocket Limited, Waltham Abbey, HERTS, Vereinigtes KönigreichPhatpocket Limited
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Befriedigend
EUR 182,88
EUR 12,56 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 1 verfügbar
Zustand: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.
- Softcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 181,67
EUR 14,76 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 1 verfügbar
Paperback. Zustand: Brand New. 1st edition. 368 pages. 9.50x6.25x1.00 inches. In Stock.
- Hardcover
Anbieter: Phatpocket Limited, Waltham Abbey, HERTS, Vereinigtes KönigreichPhatpocket Limited
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Befriedigend
EUR 254,26
EUR 12,56 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 2 verfügbar
Zustand: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.
- Hardcover
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes KönigreichRia Christie Collections
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 317,00
EUR 14,14 VersandVersand von Vereinigtes Königreich nach USAAnzahl: Mehr als 20 verfügbar
Zustand: New. In.
- Softcover
Anbieter: Buchpark, Trebbin, DeutschlandBuchpark
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Sehr gut
EUR 212,65
EUR 105,00 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 368 | Sprache: Englisch | Produktart: Bücher | In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, e…xcept if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
- Softcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 363,14
EUR 14,76 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 1 verfügbar
Paperback. Zustand: Brand New. 1st edition. 368 pages. 9.50x6.25x1.00 inches. In Stock.
Approaches to Algebra
. Ed(s): Bednarz, Nadine; Kieran, Carolyn (Universite du Quebec a Montreal, Canada); Lee, L. (Universite de Quebec a Montreal, Canada)
- Hardcover
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, IrlandKennys Bookshop and Art Galleries Ltd.
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 379,19
EUR 10,50 VersandVersand von Irland nach USAAnzahl: 15 verfügbar
Zustand: New. Aims at understanding the functioning of algebraic reasoning, its characteristics, the difficulties students encounter in making the transition to algebra, and the situations conducive to its favorable development. This book provides an introduction to generalization, problem solving, modeling, and functions. Edito…r(s): Bednarz, Nadine; Kieran, Carolyn (Universite du Quebec a Montreal, Canada); Lee, L. (Universite de Quebec a Montreal, Canada). Series: Mathematics Education Library. Num Pages: 364 pages, biography. BIC Classification: JNU; PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 22. Weight in Grams: 698. . 1996. Hardback. . . . .
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 331,86
EUR 62,94 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those… magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 331,86
EUR 63,62 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnit…udes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Approaches to Algebra
. Ed(s): Bednarz, Nadine; Kieran, Carolyn (Universite du Quebec a Montreal, Canada); Lee, L. (Universite de Quebec a Montreal, Canada)
- Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USAKennys Bookstore
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 479,75
EUR 9,15 VersandVersand innerhalb von USAAnzahl: 15 verfügbar
Zustand: New. Aims at understanding the functioning of algebraic reasoning, its characteristics, the difficulties students encounter in making the transition to algebra, and the situations conducive to its favorable development. This book provides an introduction to generalization, problem solving, modeling, and functions. Edito…r(s): Bednarz, Nadine; Kieran, Carolyn (Universite du Quebec a Montreal, Canada); Lee, L. (Universite de Quebec a Montreal, Canada). Series: Mathematics Education Library. Num Pages: 364 pages, biography. BIC Classification: JNU; PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 22. Weight in Grams: 698. . 1996. Hardback. . . . . Books ship from the US and Ireland.
- Hardcover
Anbieter: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, DeutschlandBUCHSERVICE / ANTIQUARIAT Lars Lutzer
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Gebraucht - Gut
EUR 449,90
EUR 39,95 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Zustand: gut. 1996. Approaches to Algebra: Perspectives for Research and Teaching. Mathematics Education Library, Band 18 In englischer Sprache. pages.
JOURNAL of PALLIATIVE MEDICINE, Volume 9, Number 4, August 2006, Pages 833 to 1034. Pediatric Palliative Care Moving Forward: Empathy, Competence, Quality, and the Need for Systematic Change; Cost and Utilization Outcomes of Patients Receiving Hospital-Based Palliative Care Consultation; Redefining Cancer-Related Asthenia-Fatigue Syndrome; Survival, Mortality, and Location for Death For Patients Seen by a Hospital-Based Palliative Care Team; Peer-Professional Workgroups in Palliative Care: A Strategy for Advancing Professional Discourse and Practice; Evaluation of an Educational Intervention to Encourage Advance Directive Discussions between Medicine Residents and Patients; A Day in the Life of a Hospice Physician; Palliative Care Case Repo
J. R. CANE; J. D. PENROD; P. DEB; C. LUHRS; C. DELLENBAUGH; C. W. ZHU; T. HOCHMAN; M. L. MACIEJEWSKI; E. GRANIERRI; R. S. MORRISON. S. J. SCIALLA; R. P. COLE; L. BEDNARZ; E. K. FROMME; P. B. BASCOM; M. D. SIMTH; S. W. TOLLE; L HANSON; D. H. HICKM; M. L. OSBORNE; I BYOCK; J. SHEILS TWOHIG; M. MERRIMAN; K. COLLINS; C. DAVIS FURMAN; B. HEAD; B. LAZOR; B. CASPER; C. SEEL RITCHIE; W. G. PORTER; E. PROMER.
Verlag: Official Journal of the American Academy of Hospice and Palliative Medicine. Mary Ann Liebert, Inc. Publications, * * * * *, 2006
- Softcover
Anbieter: L. Michael, North Hollywood, CA, USAL. Michael
Verkäufer/-in kontaktierenVerkäufer/-in mit 4 SternenZustand: Gebraucht - Gut bis sehr gut
EUR 59,09
EUR 13,30 VersandVersand innerhalb von USAAnzahl: 1 verfügbar
Soft cover. Zustand: Near Fine. B00K: Near Fine/, $120.14. Reduced From. JOURNAL of PALLIATIVE MEDICINE, Volume 9, Number 4, August 2006, Pages 833 to 1034. Pediatric Palliative Care Moving Forward: Empathy, Competence, Quality, and the Need for Systematic Change; Cost and Utilization Outcomes of Patients Receiving Hospital-Base…d Palliative Care Consultation; Redefining Cancer-Related Asthenia-Fatigue Syndrome; Survival, Mortality, and Location for Death For Patients Seen by a Hospital-Based Palliative Care Team; Peer-Professional Workgroups in Palliative Care: A Strategy for Advancing Professional Discourse and Practice; Evaluation of an Educational Intervention to Encourage Advance Directive Discussions between Medicine Residents and Patients; A Day in the Life of a Hospice Physician; Palliative Care Case Report: Leptomeningeal Carcinomatosis; J. R. CANE; J. D. PENROD; P. DEB; C. LUHRS; C. DELLENBAUGH; C. W. ZHU; T. HOCHMAN; M. L. MACIEJEWSKI; E. GRANIERRI; R. S. MORRISON. S. J. SCIALLA; R. P. COLE; L. BEDNARZ; E. K. FROMME; P. B. BASCOM; M. D. SIMTH; S. W. TOLLE; L HANSON; D. H. HICKM; M. L. OSBORNE; I BYOCK; J. SHEILS TWOHIG; M. MERRIMAN; K. COLLINS; C. DAVIS FURMAN; B. HEAD; B. LAZOR; B. CASPER; C. SEEL RITCHIE; W. G. PORTER; E. PROMER. Official Journal of the American Academy of Hospice and Palliative Medicine. Mary Ann Liebert, Inc. Publications 2006 Tall Wide S/c. Blue Spine With Title In Off-White Letters, Soft Cover Book: Near Fine/, Shelf, Edge, And Corner Wear. Pages 833 to 1034. Printed On Off-White Paper, In Fine/ Condition, Lightly Viewed, Clean, And Tight To The Spine. D/j: None. Description Applies To This B0K, Only, Which Is Hard To Find, And Will Be = Packaged And Shipped Carefully, To Avoid Shipping Damage And Will Make It, An Excellent Addition To Your Own Personal Library Collection, Or As A Gift For The Collector / Reader. WORLD WIDE SHIPPING, AVAILABLE. Volume 9, Number 4, August 2006 B00K: Near Fine/, (illustrator).
- Hardcover
- Print-on-Demand
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, DeutschlandBuchWeltWeit Ludwig Meier e.K.
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 208,60
EUR 23,00 VersandVersand von Deutschland nach USAAnzahl: 2 verfügbar
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except… if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano. 372 pp. Englisch.
- Softcover
- Print-on-Demand
Anbieter: moluna, Greven, Deutschlandmoluna
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 267,86
EUR 48,99 VersandVersand von Deutschland nach USAAnzahl: Mehr als 20 verfügbar
Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes ca…nnot be actually numerically calculated, except if those magnit.
- Hardcover
- Print-on-Demand
Anbieter: moluna, Greven, Deutschlandmoluna
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 267,86
EUR 48,99 VersandVersand von Deutschland nach USAAnzahl: Mehr als 20 verfügbar
Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actuall…y numerically calculated, except if those magnit.
Sprache: Englisch
Verlag: Springer Netherlands, Springer Netherlands Jun 1996, 1996
- Softcover
- Print-on-Demand
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, DeutschlandBuchWeltWeit Ludwig Meier e.K.
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 320,99
EUR 23,00 VersandVersand von Deutschland nach USAAnzahl: 2 verfügbar
Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated,… except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano. 368 pp. Englisch.
Sprache: Englisch
Verlag: Springer Netherlands, Springer Netherlands Jun 1996, 1996
- Softcover
- Print-on-Demand
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschlandbuchversandmimpf2000
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 320,99
EUR 60,00 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, exc…ept if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 368 pp. Englisch.
Sprache: Englisch
Verlag: Springer Netherlands, Springer Netherlands Jun 1996, 1996
- Hardcover
- Print-on-Demand
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschlandbuchversandmimpf2000
Verkäufer/-in kontaktierenVerkäufer/-in mit 5 SternenZustand: Neu
EUR 320,99
EUR 60,00 VersandVersand von Deutschland nach USAAnzahl: 1 verfügbar
Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if…those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an 'arithmetic' of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 372 pp. Englisch.
