A First Course in the Mathematical Foundations of Thermodynamics:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1984
|
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied. Moreover, modem formulations of the laws of thermodynamics have now achieved logically parallel forms at a level accessible to undergraduate students in science and engineering who have completed the standard calculus sequence and who wish to understand the role which mathematics can play in scientific inquiry. My goal in writing this book is to make some of the modem developments in thermodyamics available to readers with the background and orientation just mentioned and to present this material in the form of a text suitable for a one-semester junior-level course. Most of this presentation is taken from notes that I assembled while teaching such a course on two occasions. I found that, aside from a brief review of line integrals and exact differentials in two dimensions and a short discussion of infima and suprema of sets of real numbers, juniors (and even some mature sophomores) had sufficient mathematical background to handle the subject matter. Many of the students whom I taught had very limited experience with formal and rigorous mathematical exposition |
| Physical Description: | 1 Online-Ressource (134p) |
| ISBN: | 9781461395058 9781461395072 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4613-9505-8 |
Staff View
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| indexdate | 2024-07-10T01:21:07Z |
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| isbn | 9781461395058 9781461395072 |
| issn | 0172-6056 |
| language | English |
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| spelling | Owen, David R. Verfasser aut A First Course in the Mathematical Foundations of Thermodynamics by David R. Owen New York, NY Springer New York 1984 1 Online-Ressource (134p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied. Moreover, modem formulations of the laws of thermodynamics have now achieved logically parallel forms at a level accessible to undergraduate students in science and engineering who have completed the standard calculus sequence and who wish to understand the role which mathematics can play in scientific inquiry. My goal in writing this book is to make some of the modem developments in thermodyamics available to readers with the background and orientation just mentioned and to present this material in the form of a text suitable for a one-semester junior-level course. Most of this presentation is taken from notes that I assembled while teaching such a course on two occasions. I found that, aside from a brief review of line integrals and exact differentials in two dimensions and a short discussion of infima and suprema of sets of real numbers, juniors (and even some mature sophomores) had sufficient mathematical background to handle the subject matter. Many of the students whom I taught had very limited experience with formal and rigorous mathematical exposition Physics Statistical Physics, Dynamical Systems and Complexity Thermodynamik (DE-588)4059827-5 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Thermodynamik (DE-588)4059827-5 s Mathematik (DE-588)4037944-9 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-9505-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Owen, David R. A First Course in the Mathematical Foundations of Thermodynamics Physics Statistical Physics, Dynamical Systems and Complexity Thermodynamik (DE-588)4059827-5 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4059827-5 (DE-588)4037944-9 |
| title | A First Course in the Mathematical Foundations of Thermodynamics |
| title_auth | A First Course in the Mathematical Foundations of Thermodynamics |
| title_exact_search | A First Course in the Mathematical Foundations of Thermodynamics |
| title_full | A First Course in the Mathematical Foundations of Thermodynamics by David R. Owen |
| title_fullStr | A First Course in the Mathematical Foundations of Thermodynamics by David R. Owen |
| title_full_unstemmed | A First Course in the Mathematical Foundations of Thermodynamics by David R. Owen |
| title_short | A First Course in the Mathematical Foundations of Thermodynamics |
| title_sort | a first course in the mathematical foundations of thermodynamics |
| topic | Physics Statistical Physics, Dynamical Systems and Complexity Thermodynamik (DE-588)4059827-5 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Physics Statistical Physics, Dynamical Systems and Complexity Thermodynamik Mathematik |
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