Klaus Mainzer – författare
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60 produkter
60 produkter
Inbunden, Engelska, 2002
233 kr
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chapter 1 Time in the Classical and Medieval Worldviews From the Beginnings to the Pre-Socratic School Zeno's Time Arrow and Aristotle's Continuum 6 Time and Creation According to Saint Augustine 15 Time and Medieval Astronomy 18 20 Calendars and Clocks chapter 2 Time in the Worldview of Classical Physics 25 Absolute Time According to Newton 26 Relational Time According to Leibniz 30 Time in Classical Mechanics 31 Time in Kant's Epistemology 35 chapter 3 Relativistic Spacetime 43 Time in Special Relativity Theory 44 Time in General Relativity Theory 50 Time in Relativistic Cosmology 54 chapter 4 Time and the Quantum World 61 Time in Quantum Mechanics 62 Time in Quantum Field Theories 70 Time, Black Holes, and the Anthropic Principle 78 Time and Thermodynamics chapter 5 83 Time in Equilibrium Thermodynamics 84 Time in Nonequilibrium Thermodynamics 2 9 Time, Irreversibility, and Self-Organization 100 chapter 6 Time and Life 107 Time in Darwin's Theory of Evolution 108 Time in Molecular Evolution 111 Time Hierarchies and Biological Rhythms 117 chapter 7 Time and Consciousness 121 Temporal Rhythms and Brain Physiology 122 The Experience of Time and the Emergence of Consciousness 124 Computation Time and Artificial Intelligence 128 chapter 8 Time in History and Culture 137 Time in Historical Cultures 138 Time in Technological-Industrial Cultures 144 The Time Horizon of the Technological World and the Philosophy of Time 152 Further Reading 161 Index 167 Acknowledgments The Little Book of Time was inspired by my research in
Del 123 - Graduate Texts in Mathematics
Numbers
Häftad, Engelska, 1990
864 kr
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A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number" told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers? Mathematicians have always found it diffi cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis.
Häftad, Engelska, 2010
240 kr
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chapter 1 Time in the Classical and Medieval Worldviews From the Beginnings to the Pre-Socratic School Zeno's Time Arrow and Aristotle's Continuum 6 Time and Creation According to Saint Augustine 15 Time and Medieval Astronomy 18 20 Calendars and Clocks chapter 2 Time in the Worldview of Classical Physics 25 Absolute Time According to Newton 26 Relational Time According to Leibniz 30 Time in Classical Mechanics 31 Time in Kant's Epistemology 35 chapter 3 Relativistic Spacetime 43 Time in Special Relativity Theory 44 Time in General Relativity Theory 50 Time in Relativistic Cosmology 54 chapter 4 Time and the Quantum World 61 Time in Quantum Mechanics 62 Time in Quantum Field Theories 70 Time, Black Holes, and the Anthropic Principle 78 Time and Thermodynamics chapter 5 83 Time in Equilibrium Thermodynamics 84 Time in Nonequilibrium Thermodynamics 2 9 Time, Irreversibility, and Self-Organization 100 chapter 6 Time and Life 107 Time in Darwin's Theory of Evolution 108 Time in Molecular Evolution 111 Time Hierarchies and Biological Rhythms 117 chapter 7 Time and Consciousness 121 Temporal Rhythms and Brain Physiology 122 The Experience of Time and the Emergence of Consciousness 124 Computation Time and Artificial Intelligence 128 chapter 8 Time in History and Culture 137 Time in Historical Cultures 138 Time in Technological-Industrial Cultures 144 The Time Horizon of the Technological World and the Philosophy of Time 152 Further Reading 161 Index 167 Acknowledgments The Little Book of Time was inspired by my research in
E-bok
PDF, Engelska, 20121 026 kr
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A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number" told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers? Mathematicians have always found it diffi cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis.
E-bok
PDF, Engelska, 2013325 kr
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chapter 1 Time in the Classical and Medieval Worldviews From the Beginnings to the Pre-Socratic School Zeno''s Time Arrow and Aristotle''s Continuum 6 Time and Creation According to Saint Augustine 15 Time and Medieval Astronomy 18 20 Calendars and Clocks chapter 2 Time in the Worldview of Classical Physics 25 Absolute Time According to Newton 26 Relational Time According to Leibniz 30 Time in Classical Mechanics 31 Time in Kant''s Epistemology 35 chapter 3 Relativistic Spacetime 43 Time in Special Relativity Theory 44 Time in General Relativity Theory 50 Time in Relativistic Cosmology 54 chapter 4 Time and the Quantum World 61 Time in Quantum Mechanics 62 Time in Quantum Field Theories 70 Time, Black Holes, and the Anthropic Principle 78 Time and Thermodynamics chapter 5 83 Time in Equilibrium Thermodynamics 84 Time in Nonequilibrium Thermodynamics 2 9 Time, Irreversibility, and Self-Organization 100 chapter 6 Time and Life 107 Time in Darwin''s Theory of Evolution 108 Time in Molecular Evolution 111 Time Hierarchies and Biological Rhythms 117 chapter 7 Time and Consciousness 121 Temporal Rhythms and Brain Physiology 122 The Experience of Time and the Emergence of Consciousness 124 Computation Time and Artificial Intelligence 128 chapter 8 Time in History and Culture 137 Time in Historical Cultures 138 Time in Technological-Industrial Cultures 144 The Time Horizon of the Technological World and the Philosophy of Time 152 Further Reading 161 Index 167 Acknowledgments The Little Book of Time was inspired by my research in
Inbunden, Engelska, 2013
2 567 kr
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The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction–diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.Sample Chapter(s)
Inbunden, Tyska, 1988
4 306 kr
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Inbunden, Engelska, 1996
3 312 kr
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No detailed description available for "Symmetries of Nature".
Inbunden, Tyska, 1994
4 014 kr
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Keine ausführliche Beschreibung für "Computer - Neue Flügel des Geistes?" verfügbar.
E-bok
PDF, Tyska, 20113 949 kr
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E-bok
PDF, Tyska, 20163 680 kr
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E-bok
PDF, Engelska, 20133 039 kr
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No detailed description available for "e;Symmetries of Nature"e;.
Inbunden, Engelska, 2018
1 935 kr
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Here, expert authors delineate approaches that can support both decision makers as well as their concerned populations in overcoming unwarranted fears and in elaborating policies based on scientific evidence. Four exemplary focus areas were chosen for in-depth review, namely:- The scientific basis of risk management- Risk management in the area of environmental and ecological policy- Risk management in radiation medicine- Risk management in context with digitalization and roboticsGeneral as well as specific recommendations are summarized in a memorandum. Fundamental thoughts on the topic are presented in the introductory part of the book. The idea for and contents of the book were developed at a workshop on “Sustainable Risk Management: How to manage risks in a sensible and responsible manner?” held in Feldafing at Lake Starnberg (Germany) on April 14 to 16, 2016. The book offers important information and advice for scientists, entrepreneurs, administrators and politicians.
E-bok
Engelska, 20172 524 kr
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Here, expert authors delineate approaches that can support both decision makers as well as their concerned populations in overcoming unwarranted fears and in elaborating policies based on scientific evidence. Four exemplary focus areas were chosen for in-depth review, namely:- The scientific basis of risk management- Risk management in the area of environmental and ecological policy- Risk management in radiation medicine- Risk management in context with digitalization and roboticsGeneral as well as specific recommendations are summarized in a memorandum. Fundamental thoughts on the topic are presented in the introductory part of the book. The idea for and contents of the book were developed at a workshop on “Sustainable Risk Management: How to manage risks in a sensible and responsible manner?” held in Feldafing at Lake Starnberg (Germany) on April 14 to 16, 2016. The book offers important information and advice for scientists, entrepreneurs, administrators and politicians.
Häftad, Engelska, 2019
1 750 kr
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Here, expert authors delineate approaches that can support both decision makers as well as their concerned populations in overcoming unwarranted fears and in elaborating policies based on scientific evidence. Four exemplary focus areas were chosen for in-depth review, namely:- The scientific basis of risk management- Risk management in the area of environmental and ecological policy- Risk management in radiation medicine- Risk management in context with digitalization and roboticsGeneral as well as specific recommendations are summarized in a memorandum. Fundamental thoughts on the topic are presented in the introductory part of the book. The idea for and contents of the book were developed at a workshop on “Sustainable Risk Management: How to manage risks in a sensible and responsible manner?” held in Feldafing at Lake Starnberg (Germany) on April 14 to 16, 2016. The book offers important information and advice for scientists, entrepreneurs, administrators and politicians.
Häftad, Tyska, 1992
557 kr
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Die Schwierigkeit Mathematik zu lernen und zu lehren ist jedem bekannt, der einmal mit diesem Fach in Berührung gekommen ist. Begriffe wie "reelle oder komplexe Zahlen, Pi" sind zwar jedem geläufig, aber nur wenige wissen, was sich wirklich dahinter verbirgt. Die Autoren dieses Bandes geben jedem, der mehr wissen will als nur die Hülle der Begriffe, eine meisterhafte Einführung in die Magie der Mathematik und schlagen einzigartige Brücken für Studenten.Die Rezensenten der ersten beiden Auflagen überschlugen sich.
Häftad, Tyska, 1997
457 kr
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Seit den Anfängen in der 50er Jahren haben die Forschungen zum Thema Computer und Gehirn einen beispiellosen Aufschwung erlebt. In der letzten Dekade unseres Jahrhunderts scheint das Gehirn zum Paradigma neuartiger lernfähiger und selbstorganisierender Systeme zu werden, die mit den programmierbaren Rechenmaschinen von einst nur noch bedingte Ähnlichkeit aufweisen. Kann man die Funktionsweise des menschlichen Gehirns überhaupt mit der eines Computers vergleichen? Was wissen wir über das Leben und läßt sich dieses Wissen für die Konstruktion neuer, leistungsfähiger "intelligenter" Systeme nutzen? Klaus Mainzer gibt einen faszinierenden Einblick in die Komplexität des Denkens und diskutiert die Möglichkeiten und Grenzen künstlicher Intelligenz und künstlichen Lebens.
Häftad, Tyska, 1999
388 kr
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Inbunden, Engelska, 2007
596 kr
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The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic perspective of the human mind and brain can hardly be achieved by any other approach. In this wide-ranging, scholarly but very concise treatment, physicist, computer scientist and philosopher Klaus Mainzer discusses, in essentially nontechnical language, the common framework behind these ideas and challenges. Emphasis is given to the evolution of new structures in natural and cultural systems and we are lead to see clearly how the new integrative approach can give insights not available from traditional reductionistic methods. The fifth edition enlarges and revises almost all sections and supplements an entirely new chapter on the complexity of economic systems.From the reviews of the fourth edition:"… this highly recommended book is a wonderful resource for intuitive basic ideas in the need of rigorous formulation." (Albert A. Mullin, Zentralblatt MATH)
E-bok
PDF, Engelska, 2007868 kr
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The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic perspective of the human mind and brain can hardly be achieved by any other approach. In this wide-ranging, scholarly but very concise treatment, physicist, computer scientist and philosopher Klaus Mainzer discusses, in essentially nontechnical language, the common framework behind these ideas and challenges. Emphasis is given to the evolution of new structures in natural and cultural systems and we are lead to see clearly how the new integrative approach can give insights not available from traditional reductionistic methods. The fifth edition enlarges and revises almost all sections and supplements an entirely new chapter on the complexity of economic systems.
From the reviews of the fourth edition:
"… this highly recommended book is a wonderful resource for intuitive basic ideas in the need of rigorous formulation." (Albert A. Mullin, Zentralblatt MATH)
Del 1 - SpringerBriefs in Complexity
Universe as Automaton
From Simplicity and Symmetry to Complexity
Häftad, Engelska, 2011
650 kr
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This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata.Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.
E-bok
PDF, Engelska, 2011868 kr
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This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata.
Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.
Häftad, Engelska, 2014
596 kr
Skickas inom 10-15 vardagar
The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic perspective of the human mind and brain can hardly be achieved by any other approach. In this wide-ranging, scholarly but very concise treatment, physicist, computer scientist and philosopher Klaus Mainzer discusses, in essentially nontechnical language, the common framework behind these ideas and challenges. Emphasis is given to the evolution of new structures in natural and cultural systems and we are lead to see clearly how the new integrative approach can give insights not available from traditional reductionistic methods. The fifth edition enlarges and revises almost all sections and supplements an entirely new chapter on the complexity of economic systems.From the reviews of the fourth edition:"… this highly recommended book is a wonderful resource for intuitive basic ideas in the need of rigorous formulation." (Albert A. Mullin, Zentralblatt MATH)
E-bok
PDF, Tyska, 2013570 kr
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Die Schwierigkeit Mathematik zu lernen und zu lehren ist jedem bekannt, der einmal mit diesem Fach in Berührung gekommen ist. Begriffe wie "reelle oder komplexe Zahlen, Pi" sind zwar jedem geläufig, aber nur wenige wissen, was sich wirklich dahinter verbirgt. Die Autoren dieses Bandes geben jedem, der mehr wissen will als nur die Hülle der Begriffe, eine meisterhafte Einführung in die Magie der Mathematik und schlagen einzigartige Brücken für Studenten.
Die Rezensenten der ersten beiden Auflagen überschlugen sich.
E-bok
PDF, Tyska, 2013340 kr
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E-bok
PDF, Tyska, 20131 547 kr
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Komplexe dynamische Systeme werden in verschiedenen Wissenschaftsdisziplinen untersucht - von Physik, Chemie, Biologie und Medizin über Kognitionswissenschaften und Psychologie bis zu Soziologie und Ökonomie. Dieser Band zieht Bilanz und zeigt künftige Forschungsperspektiven auf. Gemeinsames methodisches Thema ist die Modellierung komplexer Systeme, deren Dynamik durch Nichtlinearität bestimmt ist. Mathematische Methoden und Computersimulationen machen aber nur Sinn, wenn sie mit konkreten einzelwissenschaftlichen Analysen verbunden sind. Das Buch liefert nicht nur fachübergreifende Informationen über den aktuellen Forschungsstand, sondern kann auch von Nichtspezialisten als Einführung in das spannende Gebiet komplexer Systeme und nichtlinearer Dynamik in Natur und Gesellschaft gelesen werden.
E-bok
PDF, Tyska, 2013449 kr
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Seit den Anfängen in der 50er Jahren haben die Forschungen zum Thema Computer und Gehirn einen beispiellosen Aufschwung erlebt. In der letzten Dekade unseres Jahrhunderts scheint das Gehirn zum Paradigma neuartiger lernfähiger und selbstorganisierender Systeme zu werden, die mit den programmierbaren Rechenmaschinen von einst nur noch bedingte Ähnlichkeit aufweisen. Kann man die Funktionsweise des menschlichen Gehirns überhaupt mit der eines Computers vergleichen? Was wissen wir über das Leben und läßt sich dieses Wissen für die Konstruktion neuer, leistungsfähiger "intelligenter" Systeme nutzen? Klaus Mainzer gibt einen faszinierenden Einblick in die Komplexität des Denkens und diskutiert die Möglichkeiten und Grenzen künstlicher Intelligenz und künstlichen Lebens.
Häftad, Tyska, 2014
1 508 kr
Skickas inom 10-15 vardagar
Komplexe dynamische Systeme werden in verschiedenen Wissenschaftsdisziplinen untersucht - von Physik, Chemie, Biologie und Medizin über Kognitionswissenschaften und Psychologie bis zu Soziologie und Ökonomie. Dieser Band zieht Bilanz und zeigt künftige Forschungsperspektiven auf. Gemeinsames methodisches Thema ist die Modellierung komplexer Systeme, deren Dynamik durch Nichtlinearität bestimmt ist. Mathematische Methoden und Computersimulationen machen aber nur Sinn, wenn sie mit konkreten einzelwissenschaftlichen Analysen verbunden sind. Das Buch liefert nicht nur fachübergreifende Informationen über den aktuellen Forschungsstand, sondern kann auch von Nichtspezialisten als Einführung in das spannende Gebiet komplexer Systeme und nichtlinearer Dynamik in Natur und Gesellschaft gelesen werden.
E-bok
PDF, Tyska, 2013537 kr
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Aus den Besprechungen: "Ein Mathematikbuch der Superlativen, für Mathematiker (jeder Schattierung) und Nichtmathematiker (denen völlig unbekannte Dimensionen der Mathematik eröffnet werden - künstlerische, magische, historische, philosophische, wissenschaftstheoretische, "unlogische", phantasieerfüllte usw.). Der Aufbau ist meisterhaft, die Lektüre höchst anregend und leicht lesbar." Monatshefte für Mathematik #1 "Ein gelungenes Werk, das dem Vorurteil entgegenwirkt, Mathematik bestehe nur aus isolierten Theorien." Die NEUE HOCHSCHULE #1 "Das Lesen ist ein Genuß, den man sich nicht entgehen lassen sollte." Jahresbericht der Deutschen Mathematiker-Vereinigung #1
Inbunden, Tyska, 2024
1 208 kr
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Das Handbuch schlägt die Brücke von der Grundlagenforschung zum Orientierungswissen. Es greift damit die Bildungs- und Ausbildungsziele der bundesweiten MINT-Initiative auf, die Mathematik (M), Informatik (I), Naturwissenschaft (N) und Technik (T) als fachübergreifendes Schlüsselwissen für technisch-wissenschaftlich gestützte Gesellschaften versteht. Additives Wissen und Ausbildung in getrennten Disziplinen der Mathematik, Informatik, Naturwissenschaft und Technik reichen aber nicht aus. In der Künstlichen Intelligenz wachsen diese Disziplinen mit den Human- und Sozialwissenschaften zusammen. Zunächst sollen die Grundlagen der KI-Forschung methodisch und begrifflich geklärt werden. Philosophie wird als Grundlagenforschung verstanden, die logisch und methodisch die Prinzipien von Wissenschaft und Technik untersucht. Daher handelt es sich um ein „Philosophisches Handbuch“ (in diesem Fall der KI) und nicht um eine Bindestrich-Philosophie, also ein Handbuch der Philosophie einer Einzelwissenschaft. Denken und Wissen selber und das Selbstverständnis der Menschen verändern sich durch KI grundlegend.