The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.
The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Daniel J. Graham was born and raised in San Francisco, California. He completed a bachelor of science degree in chemistry at Stanford University followed by a chemistry doctoral degree at Washington University, St. Louis, under the direction of Professor Tien-Sung Lin. The author went on to postdoctoral studies with Professor Richard H. Clarke at Boston University. The author's independent career began as a chemistry faculty member at West Virginia University in Morgantown, West Virginia. He moved to Loyola University Chicago four years later where he enjoyed a thirty-four year sojourn. He is now Professor Emeritus. The author's Chicago time included writing two books published by Taylor and Francis: Chemical Thermodynamics and Information Theory with Applications (2011), and Invitation to Protein Sequence Analysis Through Probability and Information (2019). The Thermodynamics of Mathematical Representation is the author's third book. His hope is that it has a place in special topics classes and seminars for math/science students; likewise for faculty looking for ideas to incorporate into introductory chemistry, physical chemistry, and calculus classes. The author would have taught the classes and seminars himself, but the pandemic, retirement age, the curse of zoom teaching, and the wonderful call to be closer to family in Central New York intervened.
Inhaltsangabe
Preface Acknowledgements Author Biography List of Principal Abbreviations Glossary of Principal Terms Chapter One: Aspects of the Thermodynamics of Mathematical Representation Chapter Two: A Tour of Thermodynamic Systems and Operational Laws Chapter Three: A Tour of the Real Number System and Thermodynamic Intertwining Chapter Four: The Information Bridge Joining Thermodynamics and the Number Systems Chapter Five: Information, Integer Partitions, and Small-System Thermodynamics Chapter Six: Information, Prime Number Representations, and Thermodynamic Overlays Chapter Seven: Information, Limit Operations, and Thermodynamic Overlays Chapter Eight: Special Limit Operations and Maximum Entropy Principles Chapter Nine: Points, Paths, and Horizons Epilogue Appendix A: A Synopsis of Thermodynamic Laws Appendix B: Notes and References Appendix C: A Précis on Point Sets and Operations Appendix D: Answers to Selected Exercises Appendix E: Bibliography Index
Preface Acknowledgements Author Biography List of Principal Abbreviations Glossary of Principal Terms Chapter One: Aspects of the Thermodynamics of Mathematical Representation Chapter Two: A Tour of Thermodynamic Systems and Operational Laws Chapter Three: A Tour of the Real Number System and Thermodynamic Intertwining Chapter Four: The Information Bridge Joining Thermodynamics and the Number Systems Chapter Five: Information, Integer Partitions, and Small-System Thermodynamics Chapter Six: Information, Prime Number Representations, and Thermodynamic Overlays Chapter Seven: Information, Limit Operations, and Thermodynamic Overlays Chapter Eight: Special Limit Operations and Maximum Entropy Principles Chapter Nine: Points, Paths, and Horizons Epilogue Appendix A: A Synopsis of Thermodynamic Laws Appendix B: Notes and References Appendix C: A Précis on Point Sets and Operations Appendix D: Answers to Selected Exercises Appendix E: Bibliography Index
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