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1. |
Record Nr. |
UNINA9910154743603321 |
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Autore |
Milnor John |
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Titolo |
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1969 |
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ISBN |
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Descrizione fisica |
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1 online resource (137 pages) : illustrations |
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Collana |
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Annals of Mathematics Studies ; ; 245 |
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Disciplina |
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Soggetti |
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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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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY |
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Sommario/riassunto |
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The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming. |
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2. |
Record Nr. |
UNINA9910254599403321 |
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Autore |
Andersen Nils |
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Titolo |
Polarization, Alignment, and Orientation in Atomic Collisions / / by Nils Andersen, Klaus Bartschat |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[2nd ed. 2017.] |
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Descrizione fisica |
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1 online resource (404 pages) |
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Collana |
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Springer Series on Atomic, Optical, and Plasma Physics, , 1615-5653 ; ; 96 |
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Disciplina |
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Soggetti |
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Atoms |
Physics |
Condensed matter |
Atomic, Molecular, Optical and Plasma Physics |
Condensed Matter Physics |
Numerical and Computational Physics, Simulation |
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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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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Part I Basic Concepts -- 1 Introduction -- 2 Polarized Light -- 3 Polarized Electrons -- 4 Experimental Geometries and Approaches -- 5 Density Matrices: Connecting Experiment and Theory -- 6 Computational Methods -- Part II Case Studies -- 7 Electron Impact Excitation -- 8 Ion and Atom Impact Excitation -- 9 Propensity Rules -- 10 Impact Ionization -- 11 Photo-Driven Processes -- 12 Related Topics and Applications -- Part III Selection of Historical Papers (1925-1976) -- 13 Introductory Summaries -- Index. |
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Sommario/riassunto |
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This book covers polarization, alignment, and orientation effects in atomic collisions induced by electron, heavy particle, or photon impact. The first part of the book presents introductory chapters on light and particle polarization, experimental and computational methods, and the density matrix and state multipole formalism. Examples and exercises are included. The second part of the book deals with case studies of electron impact and heavy particle excitation, electron transfer, impact ionization, and autoionization. A separate chapter on |
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photo-induced processes by new-generation light sources has been added. The last chapter discusses related topics and applications. Part III includes examples of charge clouds and introductory summaries of selected seminal papers of tutorial value from the early history of the field (1925 – 1975). The book is a significant update to the previous (first) edition, particularly in experimental and computational methods, the inclusion of key results obtained during the past 15 years, and the extended coverage of photo-induced processes. It is intended as an introductory text for both experimental and theoretical students and researchers. It can be used as a textbook for graduate courses, as a primary source for special topics and seminar courses, and as a standard reference. The book is accompanied by electronically available copies of the full text of the key papers in Part III, as well as animations of theoretically predicted electron charge clouds and currents for some of the cases discussed in Part II. |
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