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1. |
Record Nr. |
UNINA9910458429503321 |
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Autore |
Mollerach Silvia |
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Titolo |
Gravitational lensing and microlensing [[electronic resource] /] / Silvia Mollerach, Esteban Roulet |
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Pubbl/distr/stampa |
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New Jersey, : World Scientific, c2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (xi, 191 p. ) : ill |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Gravitational lenses |
Microlensing (Astrophysics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 175-187) and index. |
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Nota di contenuto |
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Machine generated contents note: Preface vii -- Chapter 1 Historical introduction 1 -- Chapter 2 The deflection of light 7 -- 2.1 Basics of General Relativity7 -- 2.1.1 Introduction7 -- 2.1.2 Tensors in curved spacetimes 9 -- 2.1.3 Motion of particles 13 -- 2.1.4 The spacetime curvature15 -- 2.1.5 The Einstein equation17 -- 2.1.6 The Schwarzschild metric 18 -- 2.2 The bending of light21 -- 2.2.1 Point-like deflector21 -- 2.2.2 Time delay24 -- 2.2.3 Extended mass distribution25 -- Chapter 3 Gravitational lensing theory 29 -- 3.1 The lens equation29 -- 3.1.1 Point-like lenses 29 -- 3.1.2 Extended lenses33 -- 3.2 The surface brightness conservation 34 -- 3.3 Amplification35 -- 3.4 Caustics and critical lines41 -- 3.5 Fermat's principle42 -- 3.6 Galaxy lens models45 -- 3.6.1 Circularly symmetric lenses45 -- 3.6.2 Non-circularly symmetric lenses50 -- 3.7 The folded sky51 -- 3.8 Folds and cusps58 -- 3.8.1 Magnification near a fold60 -- 3.8.2 Magnification near a cusp62 -- 3.8.3 The binary lens65 -- Chapter 4 Macrolensing results 69 -- 4.1 Lensing of quasars70 -- 4.2 Time delays and Ho74 -- 4.3 Statistical lensing and cosmological parameters78 -- 4.4 Strong lensing by clusters81 -- 4.5 Weak lensing in clusters84 -- 4.6 Cosmic shear87 -- 4.7 Quasar-galaxy correlations94 -- 4.8 Lensing of the Cosmic Microwave Background94 -- Chapter 5 Microlensing I: Basics 99 -- 5.1 The Galaxy in brief100 -- 5.1.1 The thin and thick disks100 -- 5.1.2 Galactic spheroid and |
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bulge101 -- 5.1.3 The dark halo103 -- 5.2 Basic microlensing theoretical tools105 -- 5.2.1 The light curve105 -- 5.2.2 Optical depth107 -- 5.2.3 Event duration distribution108 -- 5.3 Microlensing of unresolved sources114 -- 5.4 Observational searches of microlensing117 -- 5.4.1 Searches towards the Magellanic Clouds118 -- 5.4.2 Searches towards the bulge122 -- Chapter 6 Microlensing II: Beyond the simplest light curve 125 -- 6.1 Binary lenses126 -- 6.1.1 The complex lens equation126 -- 6.1.2 Microlensing by binaries131 -- 6.1.3 Planetary searches136 -- 6.2 Further determinations of the lensing parameters139 -- 6.2.1 Proper motion141 -- 6.2.2 Limb darkening147 -- 6.2.3 Parallax measurements148 -- 6.3 Astrometric microlensing152 -- 6.4 Quasar microlensing156 -- Appendix A Cosmology tools 161 -- A.1 The Friedmann-Robertson-Walker Universe161 -- A.2 The distance scales163 -- A.3 Large scale structures166 -- A.4 Cosmic Microwave Background anisotropies170 -- Bibliography 175 -- Index 189. |
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Sommario/riassunto |
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An exposition of gravitational lensing phenomena. It presents the status of gravitational lensing and microlensing, covering the cosmological applications of the observed lensing by galaxies, clusters and the large scale structures, as well as the microlensing searches in the local group. |
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2. |
Record Nr. |
UNINA9910790052703321 |
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Autore |
Nickerson Raymond S. |
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Titolo |
Mathematical reasoning : patterns, problems, conjectures, and proofs / / Raymond S. Nickerson |
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Pubbl/distr/stampa |
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New York : , : Psychology Press, , 2010 |
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ISBN |
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1-136-94538-5 |
1-283-10585-3 |
9786613105851 |
1-136-94539-3 |
0-203-84802-0 |
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Descrizione fisica |
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1 online resource (597 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Reasoning |
Logic, Symbolic and mathematical |
Problem solving |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Cover; Mathematical Reasoning: Patterns, problems, conjectures, and proofs; Copyright; Contents; The Author; Preface; 1. What Is Mathematics?; 2. Counting; 3. Numbers; 4. Deduction and Abstraction; 5. Proofs; 6. Informal Reasoning in Mathematics; 7. Representation in Mathematics; 8. Infinity; 9. Infinitesimals; 10. Predilections, Presumptions, and Personalities; 11. Esthetics and the Joys of Mathematics; 12. The Usefulness of Mathematics; 13. Foundations and the "Stuff" of Mathematics; 14. Preschool Development of Numerical and Mathematical Skills; 15. Mathematics in School |
16. Mathematical Problem Solving17. Final Thoughts; References; Appendix: Notable (Deceased) Mathematicians, Logicians, Philosophers, and Scientists Mentioned in the Text; Author Index; Subject Index |
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Sommario/riassunto |
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"This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the 'truths' |
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of mathematics are discoveries or inventions and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as "beautiful"? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction." "This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book's insights illuminating."--BOOK JACKET. |
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