The mathematical mechanic [[electronic resource] ] : using physical reasoning to solve problems / / Mark Levi |
Autore | Levi Mark <1951-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (197 p.) |
Disciplina |
510
530.15 |
Soggetto topico |
Problem solving
Mathematical physics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-45845-0
9786612458453 1-4008-3047-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- 1 Introduction -- 2 The Pythagorean Theorem -- 3 Minima and Maxima -- 4 Inequalities by Electric Shorting -- 5 Center of Mass: Proofs and Solutions -- 6 Geometry and Motion -- 7 Computing Integrals Using Mechanics -- 8. The Euler-Lagrange Equation via Stretched Springs -- 9 Lenses, Telescopes, and Hamiltonian Mechanics -- 10 A Bicycle Wheel and the Gauss-Bonnet Theorem -- 11 Complex Variables Made Simple(r) -- Appendix. Physical Background -- Bibliography -- Index |
Record Nr. | UNINA-9910456713703321 |
Levi Mark <1951-> | ||
Princeton ; ; Oxford, : Princeton University Press, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Qualitative analysis of the periodically forced relaxation oscillations / / Mark Levi |
Autore | Levi Mark <1951-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1981] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina |
510 s
514/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differentiable dynamical systems
Oscillations |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0651-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â1. Introduction""; ""1.1. A short history of the problem""; ""1.2. Classical results""; ""1.3. Later developments""; ""1.4. Some questions posed by the classical results""; ""1.5. Outline of the paper""; ""Â2. Results""; ""2.1. Geometry of Poincare map (the main result)""; ""2.2. Qualitative analysis of the equation-results""; ""2.3. An informal explanation of the shape of Poincare map; geometry of Levinson's results""; ""A. Global behaviour of the phase flow""; ""B. Geometry of Levinson's results""; ""C. An application to the large amplitude case""
""2.4. A family of annulus maps""""A. An example of a family of annulus maps""; ""B. Projected circle maps; notations""; ""C. Hypothesis""; ""D. Analysis of the map""; ""Â3. Proof of the Hypothesis for an equation of van der Pol type""; ""3.0. Statement of the main result""; ""3.1. Construction of the window map""; ""A. Factorization""; ""B. Construction of the window r""; ""3.2. Global behaviour of the solutions; Linearized and Hessian systems""; ""A. Behaviour of the solutions""; ""B. Linearized and Hessian systems""; ""3.3. Deformation of the window r with the flow"" ""3.4. Proof of H1 """"3.5. Proof of H2""; ""3.6. Nondegeneracy of the homoclinic tangency""; ""Â4. Qualitative analysis of the equation â€? proof of Theorem 2.2""; ""Appendix to Â2.4. â€? Proof of Theorem 2.3""; ""Appendix to Â3.1""; ""A. Two auxiliary lemmas""; ""B. Proof of Proposition 3.1""; ""C. Proof of Proposition 3.2""; ""D. Proof of the auxiliary lemmas""; ""Appendix to Â3.2""; ""A. Proof of theorem 3.2""; ""B. Proof of Lemmas 3.2 â€? 3.6""; ""Appendix to Â3.4. â€? Proof of Proposition 3.4""; ""A. Connection between f[sub(Ï?)] and g[sub(Ï?)]""; ""B. Proof of Proposition 3.4"" ""C. Proofs of Lemmas A3.4 â€? 1,2,3""""References"" |
Record Nr. | UNINA-9910480769303321 |
Levi Mark <1951-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1981] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Qualitative analysis of the periodically forced relaxation oscillations / / Mark Levi |
Autore | Levi Mark <1951-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1981] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina |
510 s
514/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differentiable dynamical systems
Oscillations |
ISBN | 1-4704-0651-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â1. Introduction""; ""1.1. A short history of the problem""; ""1.2. Classical results""; ""1.3. Later developments""; ""1.4. Some questions posed by the classical results""; ""1.5. Outline of the paper""; ""Â2. Results""; ""2.1. Geometry of Poincare map (the main result)""; ""2.2. Qualitative analysis of the equation-results""; ""2.3. An informal explanation of the shape of Poincare map; geometry of Levinson's results""; ""A. Global behaviour of the phase flow""; ""B. Geometry of Levinson's results""; ""C. An application to the large amplitude case""
""2.4. A family of annulus maps""""A. An example of a family of annulus maps""; ""B. Projected circle maps; notations""; ""C. Hypothesis""; ""D. Analysis of the map""; ""Â3. Proof of the Hypothesis for an equation of van der Pol type""; ""3.0. Statement of the main result""; ""3.1. Construction of the window map""; ""A. Factorization""; ""B. Construction of the window r""; ""3.2. Global behaviour of the solutions; Linearized and Hessian systems""; ""A. Behaviour of the solutions""; ""B. Linearized and Hessian systems""; ""3.3. Deformation of the window r with the flow"" ""3.4. Proof of H1 """"3.5. Proof of H2""; ""3.6. Nondegeneracy of the homoclinic tangency""; ""Â4. Qualitative analysis of the equation â€? proof of Theorem 2.2""; ""Appendix to Â2.4. â€? Proof of Theorem 2.3""; ""Appendix to Â3.1""; ""A. Two auxiliary lemmas""; ""B. Proof of Proposition 3.1""; ""C. Proof of Proposition 3.2""; ""D. Proof of the auxiliary lemmas""; ""Appendix to Â3.2""; ""A. Proof of theorem 3.2""; ""B. Proof of Lemmas 3.2 â€? 3.6""; ""Appendix to Â3.4. â€? Proof of Proposition 3.4""; ""A. Connection between f[sub(Ï?)] and g[sub(Ï?)]""; ""B. Proof of Proposition 3.4"" ""C. Proofs of Lemmas A3.4 â€? 1,2,3""""References"" |
Record Nr. | UNINA-9910788895603321 |
Levi Mark <1951-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1981] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Qualitative analysis of the periodically forced relaxation oscillations / / Mark Levi |
Autore | Levi Mark <1951-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1981] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina |
510 s
514/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differentiable dynamical systems
Oscillations |
ISBN | 1-4704-0651-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â1. Introduction""; ""1.1. A short history of the problem""; ""1.2. Classical results""; ""1.3. Later developments""; ""1.4. Some questions posed by the classical results""; ""1.5. Outline of the paper""; ""Â2. Results""; ""2.1. Geometry of Poincare map (the main result)""; ""2.2. Qualitative analysis of the equation-results""; ""2.3. An informal explanation of the shape of Poincare map; geometry of Levinson's results""; ""A. Global behaviour of the phase flow""; ""B. Geometry of Levinson's results""; ""C. An application to the large amplitude case""
""2.4. A family of annulus maps""""A. An example of a family of annulus maps""; ""B. Projected circle maps; notations""; ""C. Hypothesis""; ""D. Analysis of the map""; ""Â3. Proof of the Hypothesis for an equation of van der Pol type""; ""3.0. Statement of the main result""; ""3.1. Construction of the window map""; ""A. Factorization""; ""B. Construction of the window r""; ""3.2. Global behaviour of the solutions; Linearized and Hessian systems""; ""A. Behaviour of the solutions""; ""B. Linearized and Hessian systems""; ""3.3. Deformation of the window r with the flow"" ""3.4. Proof of H1 """"3.5. Proof of H2""; ""3.6. Nondegeneracy of the homoclinic tangency""; ""Â4. Qualitative analysis of the equation â€? proof of Theorem 2.2""; ""Appendix to Â2.4. â€? Proof of Theorem 2.3""; ""Appendix to Â3.1""; ""A. Two auxiliary lemmas""; ""B. Proof of Proposition 3.1""; ""C. Proof of Proposition 3.2""; ""D. Proof of the auxiliary lemmas""; ""Appendix to Â3.2""; ""A. Proof of theorem 3.2""; ""B. Proof of Lemmas 3.2 â€? 3.6""; ""Appendix to Â3.4. â€? Proof of Proposition 3.4""; ""A. Connection between f[sub(Ï?)] and g[sub(Ï?)]""; ""B. Proof of Proposition 3.4"" ""C. Proofs of Lemmas A3.4 â€? 1,2,3""""References"" |
Record Nr. | UNINA-9910812525503321 |
Levi Mark <1951-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1981] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Why cats land on their feet, and 76 other paradoxes and puzzles in physics [[electronic resource] /] / Mark Levi |
Autore | Levi Mark <1951-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (205 p.) |
Disciplina | 530 |
Soggetto topico |
Science
Physics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-49449-2
9786613589729 1-4008-4172-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- 1. Fun with Physical Paradoxes, Puzzles, and Problems -- 2. Outer Space Paradoxes -- 3. Paradoxes with Spinning Water -- 4. Floating and Diving Paradoxes -- 5. Flows and Jets -- 6. Moving Experiences: Bikes, Gymnastics, Rockets -- 7. Paradoxes with the Coriolis Force -- 8. Centrifugal Paradoxes -- 9. Gyroscopic Paradoxes -- 10. Some Hot Stuff and Cool Things -- 11. Two Perpetual Motion Machines -- 12. Sailing and Gliding -- 13. The Flipping Cat and the Spinning Earth -- 14. Miscellaneous -- Appendix -- Bibliography -- Index |
Record Nr. | UNINA-9910462072303321 |
Levi Mark <1951-> | ||
Princeton, : Princeton University Press, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Why cats land on their feet, and 76 other paradoxes and puzzles in physics [[electronic resource] /] / Mark Levi |
Autore | Levi Mark <1951-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (205 p.) |
Disciplina | 530 |
Soggetto topico |
Science
Physics |
ISBN |
1-280-49449-2
9786613589729 1-4008-4172-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- 1. Fun with Physical Paradoxes, Puzzles, and Problems -- 2. Outer Space Paradoxes -- 3. Paradoxes with Spinning Water -- 4. Floating and Diving Paradoxes -- 5. Flows and Jets -- 6. Moving Experiences: Bikes, Gymnastics, Rockets -- 7. Paradoxes with the Coriolis Force -- 8. Centrifugal Paradoxes -- 9. Gyroscopic Paradoxes -- 10. Some Hot Stuff and Cool Things -- 11. Two Perpetual Motion Machines -- 12. Sailing and Gliding -- 13. The Flipping Cat and the Spinning Earth -- 14. Miscellaneous -- Appendix -- Bibliography -- Index |
Record Nr. | UNINA-9910789953503321 |
Levi Mark <1951-> | ||
Princeton, : Princeton University Press, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Why cats land on their feet, and 76 other paradoxes and puzzles in physics / / Mark Levi |
Autore | Levi Mark <1951-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (205 p.) |
Disciplina | 530 |
Soggetto topico |
Science
Physics |
ISBN |
1-280-49449-2
9786613589729 1-4008-4172-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- 1. Fun with Physical Paradoxes, Puzzles, and Problems -- 2. Outer Space Paradoxes -- 3. Paradoxes with Spinning Water -- 4. Floating and Diving Paradoxes -- 5. Flows and Jets -- 6. Moving Experiences: Bikes, Gymnastics, Rockets -- 7. Paradoxes with the Coriolis Force -- 8. Centrifugal Paradoxes -- 9. Gyroscopic Paradoxes -- 10. Some Hot Stuff and Cool Things -- 11. Two Perpetual Motion Machines -- 12. Sailing and Gliding -- 13. The Flipping Cat and the Spinning Earth -- 14. Miscellaneous -- Appendix -- Bibliography -- Index |
Record Nr. | UNINA-9910825901903321 |
Levi Mark <1951-> | ||
Princeton, : Princeton University Press, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|