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3000 Jahre Analysis [[electronic resource] ] : Geschichte - Kulturen - Menschen / / von Thomas Sonar
| 3000 Jahre Analysis [[electronic resource] ] : Geschichte - Kulturen - Menschen / / von Thomas Sonar |
| Autore | Sonar Thomas |
| Edizione | [2nd ed. 2016.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2016 |
| Descrizione fisica | 1 online resource (XXIV, 712 S. 383 Abb., 259 Abb. in Farbe.) |
| Disciplina | 510.9 |
| Collana | Vom Zählstein zum Computer |
| Soggetto topico |
Mathematics
History Mathematical analysis Analysis (Mathematics) History of Mathematical Sciences Analysis |
| ISBN | 3-662-48918-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Prolog: 3000 Jahre Analysis -- Das Kontinuum in der griechisch-hellenistischen Antike -- Wie Wissen wandert - Vom Orient zum Okzident -- Kontinuum und Atomistik in der Scholastik -- Indivisible und Infinitesimale in der Renaissance -- An der Wende vom 16. zum 17. Jahrhundert -- Newton und Leibniz - Giganten und Widersacher -- Absolutismus, Aufklärung, Aufbruch zu neuen Ufern -- Auf dem Weg zu begrifflicher Strenge im 19. Jahrhundert -- An der Wende zum 20. Jahrhundert: Mengenlehre und die Suche nach dem wahren Kontinuum -- Ein Kreis schließt sich: Infinitesimale in der Nichtstandardanalysis -- Analysis auf Schritt und Tritt -- Literatur -- Abbildungsverzeichnis -- Personenregister -- Sachwortregister. |
| Record Nr. | UNINA-9910150449703321 |
Sonar Thomas
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton
| 3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton |
| Autore | Sonar Th (Thomas) |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XX, 706 p. 396 illus., 267 illus. in color.) |
| Disciplina | 515.09 |
| Soggetto topico |
Mathematical analysis - History
Mathematical analysis |
| ISBN | 3-030-58223-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prologue: 3000 Years of Analysis -- The Continuum in Greek-Hellenistic Antiquity -- How Knowledge Migrates – From Orientto Occident -- Continuum and Atomismin Scholasticism -- Indivisibles and Infinitesimals in the Renaissance -- At the Turn from the 16th to the 17thCentury -- Newton and Leibniz-Giants and Opponents -- Absolutism ,Enlightenment, Departure to New Shores -- On the Way to Conceptual Rigourin the 19th Century -- At theTurn to the 20th Century: Set Theory and the Search for the True Continuum -- Coming to full circle: Infinitesimals in Nonstandard Analysis. |
| Record Nr. | UNISA-996466414203316 |
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Sonar Th (Thomas)
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton
| 3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton |
| Autore | Sonar Th (Thomas) |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XX, 706 p. 396 illus., 267 illus. in color.) |
| Disciplina | 515.09 |
| Soggetto topico |
Mathematical analysis - History
Mathematical analysis |
| ISBN | 3-030-58223-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prologue: 3000 Years of Analysis -- The Continuum in Greek-Hellenistic Antiquity -- How Knowledge Migrates – From Orientto Occident -- Continuum and Atomismin Scholasticism -- Indivisibles and Infinitesimals in the Renaissance -- At the Turn from the 16th to the 17thCentury -- Newton and Leibniz-Giants and Opponents -- Absolutism ,Enlightenment, Departure to New Shores -- On the Way to Conceptual Rigourin the 19th Century -- At theTurn to the 20th Century: Set Theory and the Search for the True Continuum -- Coming to full circle: Infinitesimals in Nonstandard Analysis. |
| Record Nr. | UNINA-9910484572903321 |
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Sonar Th (Thomas)
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||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
3000 Years of Analysis : Mathematics in History and Culture / Thomas Sonar ; Translated by Thomas Sonar, Patricia Morton, Keith William Morton
| 3000 Years of Analysis : Mathematics in History and Culture / Thomas Sonar ; Translated by Thomas Sonar, Patricia Morton, Keith William Morton |
| Autore | Sonar, Thomas |
| Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2021 |
| Descrizione fisica | xx, 706 p. : ill. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
01-XX - History and biography [MSC 2020] 01A05 - General histories, source books [MSC 2020] 01A80 - Sociology (and profession) of mathematics [MSC 2020] |
| Soggetto non controllato |
Calculus
Continuum Differential and integral equations History of mathematics Infinitesimal and indivisible |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0274328 |
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Sonar, Thomas
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| Cham, : Birkhäuser, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Die Geschichte des Prioritätsstreits zwischen Leibniz and Newton [[electronic resource] ] : Geschichte – Kulturen – Menschen - Mit einem Nachwort von Eberhard Knobloch / / von Thomas Sonar
| Die Geschichte des Prioritätsstreits zwischen Leibniz and Newton [[electronic resource] ] : Geschichte – Kulturen – Menschen - Mit einem Nachwort von Eberhard Knobloch / / von Thomas Sonar |
| Autore | Sonar Thomas |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2016 |
| Descrizione fisica | 1 online resource (614 p.) |
| Disciplina | 510 |
| Collana | Vom Zählstein zum Computer |
| Soggetto topico |
Mathematics
History History of Mathematical Sciences |
| ISBN | 3-662-48862-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Zur Einstimmung -- Auf den Schultern von Riesen -- Die Krieger wachsen heran -- Der kalte Krieg beginnt -- Die scheinbare Entspannung -- Die Principia Mathematica und die Folgen -- Der Krieg wird heiß -- Vernichtungskrieg -- Über den Tod hinaus -- Die frühen Anfechtungen -- Die Nachwirkungen des Krieges -- Epilog -- Nachwort von Eberhard Knobloch. |
| Record Nr. | UNINA-9910484039603321 |
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Sonar Thomas
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The History of the Priority Di∫pute between Newton and Leibniz [[electronic resource] ] : Mathematics in History and Culture / / by Thomas Sonar
| The History of the Priority Di∫pute between Newton and Leibniz [[electronic resource] ] : Mathematics in History and Culture / / by Thomas Sonar |
| Autore | Sonar Thomas |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (566 pages) |
| Disciplina | 530.092 |
| Soggetto topico |
Mathematics
History History of Mathematical Sciences |
| ISBN | 3-319-72563-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | An Attunement -- `On ye Shoulders of Giants' -- The Warriors Grow Up -- The Cold War Begins -- The Apparent Relaxation -- The Aftermath of the Principia Mathematica -- The War is getting hot -- War of Extermination -- Beyond the Grave -- The Early Challenges -- The Aftermath of the War -- Epilogue -- Eberhard Knobloch's Epilogue -- References -- List of Figures -- Index of Names -- Subject Index. |
| Record Nr. | UNINA-9910300126503321 |
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Sonar Thomas
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910139752503321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910830199903321 |
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Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910841795703321 |
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Ansorge R (Rainer), <1931->
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||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The History of the Priority Di∫pute between Newton and Leibniz : Mathematics in History and Culture / Thomas Sonar ; with an Epilogue by Eberhard Knobloch
| The History of the Priority Di∫pute between Newton and Leibniz : Mathematics in History and Culture / Thomas Sonar ; with an Epilogue by Eberhard Knobloch |
| Autore | Sonar, Thomas |
| Pubbl/distr/stampa | Cham, : Birkhäuser, 2018 |
| Descrizione fisica | xxvii, 549 p. : ill. ; 24 cm |
| Soggetto topico |
01Axx - History of mathematics and mathematicians [MSC 2020]
26-XX - Real functions [MSC 2020] |
| Soggetto non controllato |
Calculus controversy
Culture Gottfried Wilhelm Leibniz History of mathematics Isaac Newton |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125032 |
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Sonar, Thomas
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| Cham, : Birkhäuser, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
