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Fractals And Chaos Simplified For The Life Sciences


Fractals And Chaos Simplified For The Life Sciences
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Fractals And Chaos Simplified For The Life Sciences


Fractals And Chaos Simplified For The Life Sciences
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Author : Larry S. Liebovitch
language : en
Publisher: Oxford University Press, USA
Release Date : 1998

Fractals And Chaos Simplified For The Life Sciences written by Larry S. Liebovitch and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


There is a growing interest on the part of undergraduate and graduate students and investigators in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This book explains fractals and chaos and illustrates their use with examples from biomedical research. The author presents the material in a unique style that doesn't require a strong background in mathematics. The ideas are presented in a straightforward way without technical jargon. One concept at a time is explained in a set of facing pages, with text on the left page and graphics on the right page. The graphics pages can be copied directly on to transparencies for teaching.



Chaos And Nonlinear Dynamics


Chaos And Nonlinear Dynamics
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Author : Robert C. Hilborn
language : en
Publisher:
Release Date : 2000

Chaos And Nonlinear Dynamics written by Robert C. Hilborn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.



Fractals In Soil Science


Fractals In Soil Science
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Author : Y. Pachepsky
language : en
Publisher: Elsevier
Release Date : 2000-07-19

Fractals In Soil Science written by Y. Pachepsky and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-19 with Science categories.


This book presents the state-of-the-art after fifteen years of exponentially growing applications of fractal geometry in soil science. It demonstrates the wide-ranging applicability of fractal models in soil science and indicates new opportunities to integrate processes in soils within or across scales using fractals. Contributed by some of the pioneers in the field, chapters represent a broad spectrum of applications from geochemistry to microbiology and from scales of micrometers to the landscape, and serve as an introduction to the subject. Topics include fractal aspects of soil structure, porosity and texture, scaling in preferential and hydraulic conductivity, anoxic volumes and adsorption in fractal models of soil, characterization of the pore surface irregularity, fractal properties of soil organic matter, fractal concepts in studies of soil fauna and mycelium in soils, and fractal analysis of spatial and temporal variability in soil properties and crop yields. A wide spectrum of methods for identifying and measuring fractal properties is introduced and critically discussed. Although the book focussed on solving problems in soil science, the applications and the fractal approach used share much in common with many other fields within and outside of the earth sciences. A unique bibliography on fractals in soils science is included.



Chaos And Fractals


Chaos And Fractals
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Author : David P. Feldman
language : en
Publisher: Oxford University Press
Release Date : 2012-08-09

Chaos And Fractals written by David P. Feldman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Mathematics categories.


For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.



A Fractal Epistemology For A Scientific Psychology


A Fractal Epistemology For A Scientific Psychology
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Author : Terry Marks-Tarlow
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-01-06

A Fractal Epistemology For A Scientific Psychology written by Terry Marks-Tarlow and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Psychology categories.


Fractal dynamics provide an unparalleled tool for understanding the evolution of natural complexity throughout physical, biological, and psychological realms. This book’s conceptual framework helps to reconcile several persistent dichotomies in the natural sciences, including mind-brain, linear-nonlinear, subjective-objective, and even personal-transpersonal processes. A fractal approach is especially useful when applied to recursive processes of consciousness, both within their ordinary and anomalous manifestations. This novel way to study the interconnection of seemingly divided wholes encompasses multiple dimensions of experience and being. It brings together experts in diverse fields—neuropsychologists, psychiatrists, physicists, physiologists, psychoanalysts, mathematicians, and professors of religion and music composition—to demonstrate the value of fractals as model, method, and metaphor within psychology and related social and physical sciences. The result is a new perspective for understanding what has often been dismissed as too subjective, idiosyncratic, and ineffably beyond the scope of science, bringing these areas back into a natural-scientific framework.



Nonlinear Dynamical Systems Analysis For The Behavioral Sciences Using Real Data


Nonlinear Dynamical Systems Analysis For The Behavioral Sciences Using Real Data
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Author : Stephen J. Guastello
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Nonlinear Dynamical Systems Analysis For The Behavioral Sciences Using Real Data written by Stephen J. Guastello and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.


Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect



Fractals And Chaos


Fractals And Chaos
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Author : A.J. Crilly
language : en
Publisher: Springer
Release Date : 1991

Fractals And Chaos written by A.J. Crilly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.


This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.



Fractal Analysis


Fractal Analysis
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Author : Clifford Brown
language : en
Publisher: SAGE Publications
Release Date : 2010-04-14

Fractal Analysis written by Clifford Brown and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-14 with Social Science categories.


A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.



Fractal Physiology And Chaos In Medicine


Fractal Physiology And Chaos In Medicine
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Author : Bruce J. West
language : en
Publisher: World Scientific
Release Date : 2012

Fractal Physiology And Chaos In Medicine written by Bruce J. West and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.



Nursing Caring And Complexity Science


Nursing Caring And Complexity Science
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Author : Alice Ware Davidson, RN, PhD
language : en
Publisher: Springer Publishing Company
Release Date : 2011-01-28

Nursing Caring And Complexity Science written by Alice Ware Davidson, RN, PhD and has been published by Springer Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-28 with Medical categories.


2011 AJN Book of the Year Winner in Professional Development and Issues! "This collected scholarship...will inform the personal/professional evolution of caring and nursing into this century and beyond, inviting new visions of the evolved human in the world of practice, education, research, administration, and clinical care. It is truly a visionary futuristic manifesto for this time in nursing and health sciences at all levels." Jean Watson, PhD, RN, AHN-BC, FAAN University of Colorado Denver College of Nursing Founder: Watson Caring Science Institute, Boulder, Colorado (From the Reflection) This innovative volume explores nursing and complexity science, and investigates how they relate in research, education, and practice. The book examines best methods for using complex systems, with expert contributing authors drawn from nursing, sociology, informatics, and mathematics. Each author is actively involved in studying and applying complexity science in diverse populations and various settings-especially in terms of nursing, chronic care, health care organizations, and community health networks. Chapters conclude with a response written by a nursing scholar, administrator, or practitioner, focusing on chapter concepts relevant to the complex systems seen in nursing. Chapters also include models that relate how these concepts can be used in practice, management, education, and research-from micro to macro scales. The first of its kind, this book demonstrates the potential of complex systems perspectives in nursing and health care research, education, and practice. Key Features Presents the central concepts of complexity science as they relate to nursing Facilitates greater understanding of human caring relationships through the lens of complex organizational systems Provides examples of how to create and implement complex systems models that enhance care for individuals, and in leadership roles, organizational caring, nursing informatics, and research methods