
The Thermodynamics of Mathematical Representation
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This book shows how the thermodynamic laws impact our number systems. The laws affirm that we have direct access to a vanishingly small fraction of the real numbers. They further establish that the real numbers present a maximum-evolved system impacting all matters of computation, graphing, differentiation, and integration. For completeness, one of the chapters includes cases where the thermodynamic laws have little, if anything, constructive to say about representations in mathematics.
This book 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 chapters are self-contained and written informally, and readers with rudimentary knowledge of energy, numbers, and functions should handle the material well.
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Person
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 during his time in Chicago wrote two books published by Taylor & 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 this book will be useful in special topics, classes, and seminars for math/science students and 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 (c)teaching, and the wonderful call to be closer to family in Central New York intervened.
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