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1. |
Record Nr. |
UNINA9910467235403321 |
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Autore |
Strunk Christoph |
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Titolo |
Moderne Thermodynamik . Band 2 : Quantenstatistik aus experimenteller Sicht / / Christoph Strunk |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2018 |
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©2018 |
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ISBN |
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Edizione |
[2. Auflage.] |
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Descrizione fisica |
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1 online resource (377 pages) : illustrations |
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Collana |
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Disciplina |
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Soggetti |
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Thermodynamics |
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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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Vorwort zur 2. Auflage -- Vorwort zur 1. Auflage -- Inhalt -- Inhaltsverzeichnis des ersten Bandes -- Die Strategie des Buches -- Bezeichnungen -- 1. Zusammenfassung der Thermodynamik -- 2. Statistische Thermodynamik am Beispiel von Spin-1/2-Systemen -- 3. Einfache Quantensysteme -- 4. Ideale Gase bei tiefen Temperaturen -- 5. Bose-Systeme -- 6. Fermi-Systeme -- 7. Quasiteilchen in reduzierten Dimensionen -- A. Differenzialrechnung im ℝn -- B. Wahrscheinlichkeiten und Wahrscheinlichkeitsdichten -- C. Nützliche Integrale -- D. Legendre-Transformation -- E. Das Zwei-Körper-System aus thermodynamischer Sicht -- F. Magnetische Felder in Materie -- G. Charakteristische Funktionen in der Statistik -- H. Die Boltzmann-Gleichung -- Danksagung -- Literaturverzeichnis -- Stichwortverzeichnis |
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Sommario/riassunto |
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Dieses Buch schlägt eine neuartige Brücke zwischen dem traditionellen und dem statistischen Zugang zur Thermodynamik. Es ist aus experimenteller Perspektive beschrieben, bemüht sich aber gleichzeitig um konzeptionelle Strenge. Im zweiten Band wird die Quantenstatistik auf natürliche Weise in den Rahmen der makroskopischen Thermodynamik integriert und anhand zahlreicher Beispiele aus der Atom- und Molekülphysik, der Festkörperphysik, der Tieftemperaturphysik bis hin zur Physik der Nanostrukturen illustriert. |
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Die transparente Darstellung verbindet die Grundideen der modernen Physik. |
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2. |
Record Nr. |
UNINA9910457583103321 |
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Autore |
Boros George <1947-> |
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Titolo |
Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / / George Boros, Victor H. Moll [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2004 |
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ISBN |
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1-107-14351-9 |
1-280-54103-2 |
9786610541034 |
0-511-21507-X |
0-511-21686-6 |
0-511-21149-X |
0-511-31555-4 |
0-511-61704-6 |
0-511-21326-3 |
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Descrizione fisica |
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1 online resource (xiv, 306 pages) : digital, PDF file(s) |
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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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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 276-297) and index. |
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Nota di contenuto |
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Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Factorials and Binomial Coefficients; 2 The Method of Partial Fractions; 3 A Simple Rational Function; 4 A Review of Power Series; 5 The Exponential and Logarithm Functions; 6 The Trigonometric Functions and Pi; 7 A Quartic Integral; 8 The Normal Integral; 9 Euler's Constant; 10 Eulerian Integrals: The Gamma and Beta Functions; 11 The Riemann Zeta Function; 12 Logarithmic Integrals; 13 A Master Formula; Appendix: The Revolutionary WZ Method; Bibliography; Index |
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Sommario/riassunto |
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The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in |
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19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. |
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