complexity explained springer complexity

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Complexity Explained

Author : Peter Erdi
ISBN : 9783540357780
Genre : Mathematics
File Size : 40. 12 MB
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This book explains why complex systems research is important in understanding the structure, function and dynamics of complex natural and social phenomena. It illuminates how complex collective behavior emerges from the parts of a system, due to the interaction between the system and its environment. Readers will learn the basic concepts and methods of complex system research. The book is not highly technical mathematically, but teaches and uses the basic mathematical notions of dynamical system theory, making the book useful for students of science majors and graduate courses.

Funktionentheorie

Author : Eberhard Freitag
ISBN : 9783662073490
Genre : Mathematics
File Size : 39. 88 MB
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Die komplexen Zahlen haben ihre historischen Wurzeln im 16. Jahrhundert, sie entstanden bei dem Versuch, algebmische Gleichungen zu lösen. So führte schon G. CARDANO (1545) formale Ausdrücke wie zum Beispiel 5 ± v'-15 ein, um Lösungen quadratischer und kubischer Gleichungen angeben zu können. R. BOMBELLI rechnete um 1560 bereits systematisch mit diesen Ausdrücken 3 und fand 4 als Lösung der Gleichung x = 15x + 4 in der verschlüsselten Form 4 = ~2 + v'-121 + ~2 - v'-121. Auch bei G. W. LEIBNIZ (1675) findet man Gleichungen dieser Art, wie z. B. VI + v'=3 + Vl- v'=3 = v'6. Im Jahre 1777 führte L. EULER die Bezeichnung i = A für die imaginäre Einheit ein. Der Fachausdruck "komplexe Zahl" stammt von C. F. GAUSS (1831). Die strenge Einführung der komplexen Zahlen als Paare reeller Zahlen geht auf W. R. HAMILTON (1837) zurück. Schon in der reellen Analysis ist es gelegentlich vorteilhaft, komplexe Zahlen einzuführen. Man denke beispielsweise an die Integration rationaler Funktio nen, die auf der Partialbruchentwicklung und damit auf dem Fundamentalsatz der Algebra beruht: Über dem Körper der komplexen Zahlen zerfällt jedes Polynom in ein Produkt von Linearfaktoren.

Complex Networks Viii

Author : Bruno Gonçalves
ISBN : 9783319542416
Genre : Science
File Size : 83. 48 MB
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This book collects the works presented at the 8th International Conference on Complex Networks (CompleNet) 2017 in Dubrovnik, Croatia, on March 21-24, 2017. CompleNet aims at bringing together researchers and practitioners working in areas related to complex networks. The past two decades has witnessed an exponential increase in the number of publications within this field. From biological systems to computer science, from economic to social systems, complex networks are becoming pervasive in many fields of science. It is this interdisciplinary nature of complex networks that CompleNet aims at addressing. The last decades have seen the emergence of complex networks as the language with which a wide range of complex phenomena in fields as diverse as physics, computer science, and medicine (to name a few) can be properly described and understood. This book provides a view of the state-of-the-art in this dynamic field and covers topics such as network controllability, social structure, online behavior, recommendation systems, and network structure.

Thinking In Complexity

Author : Klaus Mainzer
ISBN : 9783540722274
Genre : Science
File Size : 30. 31 MB
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This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.

Complexity And Synergetics

Author : Stefan C. Müller
ISBN : 9783319643342
Genre : Technology & Engineering
File Size : 20. 45 MB
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All of us are confronted with complex phenomena occurring in daily life and in the living and inanimate nature surrounding us. Our scientific curiosity strives to unravel the mechanisms at work to create such complexity. Among various approaches to solve this problem, the field of synergetics, developed by Hermann Haken, has proven very successful as a general and interdisciplinary concept for describing and explaining complex phenomena that appear in systems under non-equilibrium conditions. These comprise dynamical states in evolving systems, spatial structure-forming processes, synchronization of states and regulatory mechanisms, and many other examples. The encompassing concepts have been applied to many disciplines, like physics, chemistry, biology, and beyond those also from synergetics to information theory, brain science, economics, and others. Starting from basic methods of complexity research and synergetics, this volume contains thirty contributions on complex systems that exhibit spontaneous pattern formation far from thermal equilibrium. Written by international experts and young researchers assembled under one roof, this volume reflects state of the art research from a variety of scientific fields and disciplines where complexity theory and synergetics are important or even indispensable tools today and in the future.

Chaos Complexity And Leadership 2013

Author : Şefika Şule Erçetin
ISBN : 9783319097107
Genre : Science
File Size : 39. 36 MB
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These proceedings from the 2013 symposium on "Chaos, complexity and leadership" reflect current research results from all branches of Chaos, Complex Systems and their applications in Management. Included are the diverse results in the fields of applied nonlinear methods, modeling of data and simulations, as well as theoretical achievements of Chaos and Complex Systems. Also highlighted are Leadership and Management applications of Chaos and Complexity Theory.

Complexity Hints For Economic Policy

Author : Massimo Salzano
ISBN : 9788847005341
Genre : Political Science
File Size : 33. 23 MB
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This book considers the benefits of complexity, suggesting that economists should become a bit less certain in their policy conclusions. A broader range of models would include agent-based models, which use computational power to deal with specification of models that are far beyond analytic solution; and non-linear dynamic stochastic models, many of which are beyond analytic solution, but whose nature can be discovered by a combination of analytics and computer simulations.

Chaos Complexity And Leadership 2012

Author : Santo Banerjee
ISBN : 9789400773622
Genre : Science
File Size : 40. 86 MB
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These proceedings from the 2012 symposium on "Chaos, complexity and leadership" reflect current research results from all branches of Chaos, Complex Systems and their applications in Management. Included are the diverse results in the fields of applied nonlinear methods, modeling of data and simulations, as well as theoretical achievements of Chaos and Complex Systems. Also highlighted are Leadership and Management applications of Chaos and Complexity Theory.

Logic And Complexity

Author : Richard Lassaigne
ISBN : 9780857293923
Genre : Computers
File Size : 73. 14 MB
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Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of exercises, this book presents classical notions of mathematical logic, such as decidability, completeness and incompleteness, as well as new ideas brought by complexity theory such as NP-completeness, randomness and approximations, providing a better understanding for efficient algorithmic solutions to problems. Divided into three parts, it covers: - Model Theory and Recursive Functions - introducing the basic model theory of propositional, 1st order, inductive definitions and 2nd order logic. Recursive functions, Turing computability and decidability are also examined. - Descriptive Complexity - looking at the relationship between definitions of problems, queries, properties of programs and their computational complexity. - Approximation - explaining how some optimization problems and counting problems can be approximated according to their logical form. Logic is important in Computer Science, particularly for verification problems and database query languages such as SQL. Students and researchers in this field will find this book of great interest.

Unsere Einsame Erde

Author : Peter D. Ward
ISBN : 9783642565069
Genre : Science
File Size : 27. 9 MB
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Sind wir vielleicht allein im Universum? Die Antworten überraschen und führen den Leser auf eine faszinierende Reise von den vulkanischen Quellen des Ozeanbodens bis zum Jupiter-Mond. "...ein stellares Beispiel präziser Ausdruckskraft." (American Scientist)

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