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Untangling Complex Systems
A Grand Challenge for Science
Pier Luigi Gentili
- 568 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Untangling Complex Systems
A Grand Challenge for Science
Pier Luigi Gentili
About This Book
Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space.
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Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Foreword
- Preface
- Acknowledgments
- About the Author
- Chapter 1 Introduction
- Chapter 2 Reversibility or Irreversibility? That Is the Question!
- Chapter 3 Out-of-Equilibrium Thermodynamics
- Chapter 4 An Amazing Scientific Voyage: From Equilibrium up to Self-Organization through Bifurcations
- Chapter 5 The Emergence of Temporal Order in the Ecosystems
- Chapter 6 The Emergence of Temporal Order in the Economy
- Chapter 7 The Emergence of Temporal Order within a Living Being
- Chapter 8 The Emergence of Temporal Order in a Chemical Laboratory
- Chapter 9 The Emergence of Order in Space
- Chapter 10 The Emergence of Chaos in Time
- Chapter 11 Chaos in Space: The Fractals
- Chapter 12 Complex Systems
- Chapter 13 How to Untangle Complex Systems?
- Appendix A: Numerical Solutions of Differential Equations
- Appendix B: The Maximum Entropy Method
- Appendix C: Fourier Transform of Waveforms
- Appendix D: Errors and Uncertainties in Laboratory Experiments
- Appendix E: Errors in Numerical Computation
- References
- Index