Author: Sharon E. Kingsland
Publisher: University of Chicago Press
ISBN: 9780226437286
Category : Science
Languages : en
Pages : 326
Book Description
The first history of population ecology traces two generations of science and scientists from the opening of the twentieth century through 1970. Kingsland chronicles the careers of key figures and the field's theoretical, empirical, and institutional development, with special attention to tensions between the descriptive studies of field biologists and later mathematical models. This second edition includes a new afterword that brings the book up to date, with special attention to the rise of "the new natural history" and debates about ecology's future as a large-scale scientific enterprise.
Modeling Nature
Author: Sharon E. Kingsland
Publisher: University of Chicago Press
ISBN: 9780226437286
Category : Science
Languages : en
Pages : 326
Book Description
The first history of population ecology traces two generations of science and scientists from the opening of the twentieth century through 1970. Kingsland chronicles the careers of key figures and the field's theoretical, empirical, and institutional development, with special attention to tensions between the descriptive studies of field biologists and later mathematical models. This second edition includes a new afterword that brings the book up to date, with special attention to the rise of "the new natural history" and debates about ecology's future as a large-scale scientific enterprise.
Publisher: University of Chicago Press
ISBN: 9780226437286
Category : Science
Languages : en
Pages : 326
Book Description
The first history of population ecology traces two generations of science and scientists from the opening of the twentieth century through 1970. Kingsland chronicles the careers of key figures and the field's theoretical, empirical, and institutional development, with special attention to tensions between the descriptive studies of field biologists and later mathematical models. This second edition includes a new afterword that brings the book up to date, with special attention to the rise of "the new natural history" and debates about ecology's future as a large-scale scientific enterprise.
Modeling Nature
Author: Richard J. Gaylord
Publisher: Springer
ISBN: 1468494058
Category : Science
Languages : en
Pages : 266
Book Description
A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.
Publisher: Springer
ISBN: 1468494058
Category : Science
Languages : en
Pages : 266
Book Description
A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.
The Modeling of Nature
Author: William A Wallace
Publisher: CUA Press
ISBN: 0813208602
Category : Philosophy
Languages : en
Pages : 472
Book Description
The Modeling of Nature provides an excellent introduction to the fundamentals of natural philosophy, psychology, logic, and epistemology.
Publisher: CUA Press
ISBN: 0813208602
Category : Philosophy
Languages : en
Pages : 472
Book Description
The Modeling of Nature provides an excellent introduction to the fundamentals of natural philosophy, psychology, logic, and epistemology.
Mathematics in Nature
Author: John Adam
Publisher: Princeton University Press
ISBN: 1400841011
Category : Mathematics
Languages : en
Pages : 408
Book Description
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
Publisher: Princeton University Press
ISBN: 1400841011
Category : Mathematics
Languages : en
Pages : 408
Book Description
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
The Nature of Mathematical Modeling
Author: Neil A. Gershenfeld
Publisher: Cambridge University Press
ISBN: 9780521570954
Category : Mathematics
Languages : en
Pages : 268
Book Description
This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.
Publisher: Cambridge University Press
ISBN: 9780521570954
Category : Mathematics
Languages : en
Pages : 268
Book Description
This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.
Modelling Nature: An Opinionated Introduction to Scientific Representation
Author: Roman Frigg
Publisher: Springer Nature
ISBN: 3030451534
Category : Philosophy
Languages : en
Pages : 250
Book Description
This monograph offers a critical introduction to current theories of how scientific models represent their target systems. Representation is important because it allows scientists to study a model to discover features of reality. The authors provide a map of the conceptual landscape surrounding the issue of scientific representation, arguing that it consists of multiple intertwined problems. They provide an encyclopaedic overview of existing attempts to answer these questions, and they assess their strengths and weaknesses. The book also presents a comprehensive statement of their alternative proposal, the DEKI account of representation, which they have developed over the last few years. They show how the account works in the case of material as well as non-material models; how it accommodates the use of mathematics in scientific modelling; and how it sheds light on the relation between representation in science and art. The issue of representation has generated a sizeable literature, which has been growing fast in particular over the last decade. This makes it hard for novices to get a handle on the topic because so far there is no book-length introduction that would guide them through the discussion. Likewise, researchers may require a comprehensive review that they can refer to for critical evaluations. This book meets the needs of both groups.
Publisher: Springer Nature
ISBN: 3030451534
Category : Philosophy
Languages : en
Pages : 250
Book Description
This monograph offers a critical introduction to current theories of how scientific models represent their target systems. Representation is important because it allows scientists to study a model to discover features of reality. The authors provide a map of the conceptual landscape surrounding the issue of scientific representation, arguing that it consists of multiple intertwined problems. They provide an encyclopaedic overview of existing attempts to answer these questions, and they assess their strengths and weaknesses. The book also presents a comprehensive statement of their alternative proposal, the DEKI account of representation, which they have developed over the last few years. They show how the account works in the case of material as well as non-material models; how it accommodates the use of mathematics in scientific modelling; and how it sheds light on the relation between representation in science and art. The issue of representation has generated a sizeable literature, which has been growing fast in particular over the last decade. This makes it hard for novices to get a handle on the topic because so far there is no book-length introduction that would guide them through the discussion. Likewise, researchers may require a comprehensive review that they can refer to for critical evaluations. This book meets the needs of both groups.
Nature as Model
Author: Luke Morgan
Publisher: University of Pennsylvania Press
ISBN: 0812239636
Category : Architecture
Languages : en
Pages : 312
Book Description
Salomon de Caus was a pivotal figure in the dissemination of the design principles and motifs of the Italian Renaissance garden throughout Europe. By setting the record straight in this biography, Luke Morgan rewrites the received history of early seventeenth-century garden design.
Publisher: University of Pennsylvania Press
ISBN: 0812239636
Category : Architecture
Languages : en
Pages : 312
Book Description
Salomon de Caus was a pivotal figure in the dissemination of the design principles and motifs of the Italian Renaissance garden throughout Europe. By setting the record straight in this biography, Luke Morgan rewrites the received history of early seventeenth-century garden design.
Nature, the Artful Modeler
Author: Nancy Cartwright
Publisher: Open Court Publishing
ISBN: 0812694724
Category : Philosophy
Languages : en
Pages : 161
Book Description
How fixed are the happenings in Nature and how are they fixed? These lectures address what our scientific successes at predicting and manipulating the world around us suggest in answer. One—very orthodox—account teaches that the sciences offer general truths that we combine with local facts to derive our expectations about what will happen, either naturally or when we build a device to design, be it a laser, a washing machine, an anti-malarial bed net, or an auction for the airwaves. In these three 2017 Carus Lectures Nancy Cartwright offers a different picture, one in which neither we, nor Nature, have such nice rules to go by. Getting real predictions about real happenings is an engineering enterprise that makes clever use of a great variety of different kinds of knowledge, with few real derivations in sight anywhere. It takes artful modeling. Orthodoxy would have it that how we do it is not reflective of how Nature does it. It is, rather, a consequence of human epistemic limitations. That, Cartwright argues, is to put our reasoning just back to front. We should read our image of what Nature is like from the way our sciences work when they work best in getting us around in it, non plump for a pre-set image of how Nature must work to derive what an ideal science, freed of human failings, would be like. Putting the order of inference right way around implies that like us, Nature too is an artful modeler. Lecture 1 is an exercise in description. It is a study of the practices of science when the sciences intersect with the world and, then, of what that world is most likely like given the successes of these practices. Millikan's famous oil drop experiment, and the range of knowledge pieced together to make it work, are used to illustrate that events in the world do not occur in patterns that can be properly described in so-called "laws of nature." Nevertheless, they yield to artful modeling. Without a huge leap of faith, that, it seems, is the most we can assume about the happenings in Nature. Lecture 2 is an exercise in metaphysics. How could the arrangements of happenings come to be that way? In answer, Cartwright urges an ontology in which powers act together in different ways depending on the arrangements they find themselves in to produce what happens. It is a metaphysics in which possibilia are real because powers and arrangement are permissive—they constrain but often do not dictate outcomes (as we see in contemporary quantum theory). Lecture 3, based on Cartwright's work on evidence-based policy and randomized controlled trials, is an exercise in the philosophy of social technology: How we can put our knowledge of powers and our skills at artful modeling to work to build more decent societies and how we can use our knowledge and skills to evaluate when our attempts are working. The lectures are important because: They offer an original view on the age-old question of scientific realism in which our knowledge is genuine, yet our scientific principles are neither true nor false but are, rather, templates for building good models. Powers are center-stage in metaphysics right now. Back-reading them from the successes of scientific practice, as Lecture 2 does, provides a new perspective on what they are and how they function. There is a loud call nowadays to make philosophy relevant to "real life." That's just what happens in Lecture 3, where Cartwright applies the lesson of Lectures 1 and 2 to argue for a serious rethink of the way that we are urged—and in some places mandated—to use evidence to predict the outcomes of our social policies.
Publisher: Open Court Publishing
ISBN: 0812694724
Category : Philosophy
Languages : en
Pages : 161
Book Description
How fixed are the happenings in Nature and how are they fixed? These lectures address what our scientific successes at predicting and manipulating the world around us suggest in answer. One—very orthodox—account teaches that the sciences offer general truths that we combine with local facts to derive our expectations about what will happen, either naturally or when we build a device to design, be it a laser, a washing machine, an anti-malarial bed net, or an auction for the airwaves. In these three 2017 Carus Lectures Nancy Cartwright offers a different picture, one in which neither we, nor Nature, have such nice rules to go by. Getting real predictions about real happenings is an engineering enterprise that makes clever use of a great variety of different kinds of knowledge, with few real derivations in sight anywhere. It takes artful modeling. Orthodoxy would have it that how we do it is not reflective of how Nature does it. It is, rather, a consequence of human epistemic limitations. That, Cartwright argues, is to put our reasoning just back to front. We should read our image of what Nature is like from the way our sciences work when they work best in getting us around in it, non plump for a pre-set image of how Nature must work to derive what an ideal science, freed of human failings, would be like. Putting the order of inference right way around implies that like us, Nature too is an artful modeler. Lecture 1 is an exercise in description. It is a study of the practices of science when the sciences intersect with the world and, then, of what that world is most likely like given the successes of these practices. Millikan's famous oil drop experiment, and the range of knowledge pieced together to make it work, are used to illustrate that events in the world do not occur in patterns that can be properly described in so-called "laws of nature." Nevertheless, they yield to artful modeling. Without a huge leap of faith, that, it seems, is the most we can assume about the happenings in Nature. Lecture 2 is an exercise in metaphysics. How could the arrangements of happenings come to be that way? In answer, Cartwright urges an ontology in which powers act together in different ways depending on the arrangements they find themselves in to produce what happens. It is a metaphysics in which possibilia are real because powers and arrangement are permissive—they constrain but often do not dictate outcomes (as we see in contemporary quantum theory). Lecture 3, based on Cartwright's work on evidence-based policy and randomized controlled trials, is an exercise in the philosophy of social technology: How we can put our knowledge of powers and our skills at artful modeling to work to build more decent societies and how we can use our knowledge and skills to evaluate when our attempts are working. The lectures are important because: They offer an original view on the age-old question of scientific realism in which our knowledge is genuine, yet our scientific principles are neither true nor false but are, rather, templates for building good models. Powers are center-stage in metaphysics right now. Back-reading them from the successes of scientific practice, as Lecture 2 does, provides a new perspective on what they are and how they function. There is a loud call nowadays to make philosophy relevant to "real life." That's just what happens in Lecture 3, where Cartwright applies the lesson of Lectures 1 and 2 to argue for a serious rethink of the way that we are urged—and in some places mandated—to use evidence to predict the outcomes of our social policies.
How Nature Works
Author: Per Bak
Publisher: Springer Science & Business Media
ISBN: 1475754264
Category : Mathematics
Languages : en
Pages : 229
Book Description
Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST
Publisher: Springer Science & Business Media
ISBN: 1475754264
Category : Mathematics
Languages : en
Pages : 229
Book Description
Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST
Undergraduate Mathematics for the Life Sciences
Author: Glenn Ledder
Publisher: MAA
ISBN: 0883851911
Category : Education
Languages : en
Pages : 228
Book Description
There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.
Publisher: MAA
ISBN: 0883851911
Category : Education
Languages : en
Pages : 228
Book Description
There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.