Richard McElreath and Robert Boyd
- Published in print:
- 2007
- Published Online:
- February 2013
- ISBN:
- 9780226558264
- eISBN:
- 9780226558288
- Item type:
- book
- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226558288.001.0001
- Subject:
- Biology, Evolutionary Biology / Genetics
Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously ...
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Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, this book aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, the book introduces readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. The book equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, the book's goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.Less
Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, this book aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, the book introduces readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. The book equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, the book's goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.
John von Neumann
Nicholas A. Wheeler (ed.)
- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780691178561
- eISBN:
- 9781400889921
- Item type:
- chapter
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691178561.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics
This introductory chapter provides a brief summary of the discussions in the succeeding chapters. Here, the new quantum mechanics has in recent years achieved in its essential parts what is ...
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This introductory chapter provides a brief summary of the discussions in the succeeding chapters. Here, the new quantum mechanics has in recent years achieved in its essential parts what is presumably a definitive form: the so-called “transformation theory.” Therefore the principal emphasis shall be placed on the general and fundamental questions which have arisen in connection with this theory. In particular, the difficult problems of interpretation, many of which are even now not fully resolved, will be investigated in detail. In this connection, the relation of quantum mechanics to statistics and to the classical statistical mechanics is of special importance.Less
This introductory chapter provides a brief summary of the discussions in the succeeding chapters. Here, the new quantum mechanics has in recent years achieved in its essential parts what is presumably a definitive form: the so-called “transformation theory.” Therefore the principal emphasis shall be placed on the general and fundamental questions which have arisen in connection with this theory. In particular, the difficult problems of interpretation, many of which are even now not fully resolved, will be investigated in detail. In this connection, the relation of quantum mechanics to statistics and to the classical statistical mechanics is of special importance.
Didier Bazalgette, Maurice Zattara, Nguyen Bathien, and Pierre Rondot
- Published in print:
- 1992
- Published Online:
- March 2012
- ISBN:
- 9780195068207
- eISBN:
- 9780199847198
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195068207.003.0112
- Subject:
- Neuroscience, Sensory and Motor Systems
The role of the basal ganglia in eye-head coordination has been studied using neurophysiologic and mathematical tools. The authors tried to answer the questions: (1) How do normal subjects organize ...
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The role of the basal ganglia in eye-head coordination has been studied using neurophysiologic and mathematical tools. The authors tried to answer the questions: (1) How do normal subjects organize and stabilize a new eye-head coordination situation? (2) What changes occur in patients with basal ganglia disorders? (3) Do eye-head coordination disorders and posturokinetic coordination share common characteristics? In the experimental paradigm, the subjects maintained the gaze on a central target during active and passive isolated head rotations. It is suggested this paradigm is used in studying eye-head motor coordination in central nervous system disorders.Less
The role of the basal ganglia in eye-head coordination has been studied using neurophysiologic and mathematical tools. The authors tried to answer the questions: (1) How do normal subjects organize and stabilize a new eye-head coordination situation? (2) What changes occur in patients with basal ganglia disorders? (3) Do eye-head coordination disorders and posturokinetic coordination share common characteristics? In the experimental paradigm, the subjects maintained the gaze on a central target during active and passive isolated head rotations. It is suggested this paradigm is used in studying eye-head motor coordination in central nervous system disorders.
David P. Feldman
- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199566433
- eISBN:
- 9780191774966
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199566433.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics
This chapter starts by introducing the terms ‘chaos’ and ‘fractal’ and talks briefly about their history. Since the 1970s, these two concepts — chaos and fractals — have become an important element ...
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This chapter starts by introducing the terms ‘chaos’ and ‘fractal’ and talks briefly about their history. Since the 1970s, these two concepts — chaos and fractals — have become an important element of modern science and they have been borrowed and appropriated by other academic disciplines. They have also found themselves often mentioned in popular culture, including film and literature. What do these two terms mean? Why have they become so popular in scientific and popular discourse? This chapter outlines the aims of this book as a whole.Less
This chapter starts by introducing the terms ‘chaos’ and ‘fractal’ and talks briefly about their history. Since the 1970s, these two concepts — chaos and fractals — have become an important element of modern science and they have been borrowed and appropriated by other academic disciplines. They have also found themselves often mentioned in popular culture, including film and literature. What do these two terms mean? Why have they become so popular in scientific and popular discourse? This chapter outlines the aims of this book as a whole.
