The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account. Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs. All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.
Offering broad coverage of the basic, clinical and curative aspects of photomedicine, this reference reflects the recent expansion of knowledge on the effects of light on normal skin as well as photosensitivity disorders and the use of light in treating various diseases and conditions.;The book demonstrates how light acts as a therapeutic agent by means such as phototherapy, photochemotherapy, extracorporeal photopheresis, and the use of lasers in photomedicine and photodynamic therapy.;Providing a detailed introduction to the subject, Clinical Photomedicine: discusses the fundamental principles of photomedicine such as skin optics, light sources, and pharmacology; explicates the acute and chronic effects of light on normal skin, including sunburn reaction, photoaging, and skin cancer; considers photoimmunology; examines clinical photosensitivity diseases as well as topical and systemic photoprotection; and much more.;With over 1300 literature citations, Clinical Photomedicine is designed as a resource for dermatologists and photobiologists, as well as residents and fellows in these disciplines.
A history of how neural, behavioural and communicative subdisciplines coalesced in neuroscience to create a promising approach to understanding the relation of mind to brain. It chronicles the expansion of prominent centres of research and the development of innovative apparatus and concepts.
The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation of quotients. In the second part, GIT is applied to solve the classification problem of decorated principal bundles on a compact Riemann surface. The solution is a quasi-projective moduli scheme which parameterizes those objects that satisfy a semistability condition originating from gauge theory. The moduli space is equipped with a generalized Hitchin map. Via the universal Kobayashi-Hitchin correspondence, these moduli spaces are related to moduli spaces of solutions of certain vortex type equations. Potential applications include the study of representation spaces of the fundamental group of compact Riemann surfaces. The book concludes with a brief discussion of generalizations of these findings to higher dimensional base varieties, positive characteristic, and parabolic bundles. The text is fairly self-contained (e.g., the necessary background from the theory of principal bundles is included) and features numerous examples and exercises. It addresses students and researchers with a working knowledge of elementary algebraic geometry.
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Offering broad coverage of the basic, clinical and curative aspects of photomedicine, this reference reflects the recent expansion of knowledge on the effects of light on normal skin as well as photosensitivity disorders and the use of light in treating various diseases and conditions.;The book demonstrates how light acts as a therapeutic agent by means such as phototherapy, photochemotherapy, extracorporeal photopheresis, and the use of lasers in photomedicine and photodynamic therapy.;Providing a detailed introduction to the subject, Clinical Photomedicine: discusses the fundamental principles of photomedicine such as skin optics, light sources, and pharmacology; explicates the acute and chronic effects of light on normal skin, including sunburn reaction, photoaging, and skin cancer; considers photoimmunology; examines clinical photosensitivity diseases as well as topical and systemic photoprotection; and much more.;With over 1300 literature citations, Clinical Photomedicine is designed as a resource for dermatologists and photobiologists, as well as residents and fellows in these disciplines.
Considered by some the best introduction to and explication of the thought of German Idealist philosopher GEORG WILHELM FRIEDRICH HEGEL (17701831), this 1896 translation by SAMUEL WATERS DYDE (b. 1862) of the philosophers great 1821 work offers a succinct but comprehensive discussion of concepts of free will. A philosophical disciple of Kant, Hegel saw that free will could exist only within the larger context of human life: of family, of work, of legality and moralityhuman freedom, Hegel believed could not exist in a vacuum but only via an individuals interactions with the social networks of humanity. Hegels understanding of the individuals impact on such grand canvases as history itself exerted an unparalleled influence on German philosophy throughout the 19th century, including upon Karl Marx and his Communist Manifesto. Philosophy of Right, then, deserves a place in the essential library of anyone wishing to understand modern political thinking.
7. 2 Cumulative Pollutants and the Rate of Economic Growth 217 7. 3 Economic Growth in an Unregulated Economy 223 7. 4 Economic Growth in a Degrading Economy 231 7. 5 Economic Growth in the Spaceship Economy 237 7. 6 Dynamic Equilibrium in the Spaceship Economy 248 7. 7 An Evaluation of the Model and some Conclusions 254 7. 8 Some Long-Term Implications of the Model 256 References 258 Chapter 8: Optimal Economic Growth when CO Constraints are Critical 2 8. 1 Introduction 259 8. 2 Formulation of the Problem 260 8. 3 Derivation of the Necessary Conditions 264 8. 4 Analysis of the Necessary Conditions 265 8. 5 Conclusion 277 References 279 Chapter 9: Uncertainty. Value of Information and Greenhouse Gas Emissions 9. 1 Introduction 280 9. 2 An Illustrative Example - Evaluating a Climate Research and Monitoring Programme 282 293 9. 3 The Value of Information in a Stochastic Dynamic Programme 301 9. 4 Optimal Policies in a Stochastic Dynamic Programme 307 9. 5 Resource Costs and Critical Probabilities 9. 6 Conclusions 314 317 References 319 Epilogue 325 Index viii Preface The movement of carbon from sources to final disposition is known as the carbon cycle. The largest reservoir of carbon is in carbonate sediments such as limestone and chalk. Other significant but less stable reservoirs include fossil fuels, living and dead plants and animals, carbonates and bicarbonates dissolved in the ocean.
In the 1999 Policy Address by Hong Kong's Chief Executive, Mr Tung Chee-hwa, one major target listed is 'Making Hong Kong an Ideal Home . . . Every citizen, every business, every government department and bureau need to start working in partnership to achieve what is known as "sustainable development".' This book aims to encourage an ecological approach to design and planning in an effort 'to build Hong Kong into a world-class city'. The book is divided into four parts which focus on various aspects of environmental considerations in architecture. The first part discusses broad issues of environmental planning and sustainability. The second part covers environmental strategies in architectural design. The third part deals with environmental factors and explores how they can be addressed. The last part details the relevant environmental legislation in Hong Kong. This book is intended as both a reference for professionals as well as a textbook for university students.
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
Balanced, sensible, down-to-earth. . . . Should be read by anyone concerned about toxic chemicals, the Greenhouse Effect, nuclear waste, and other similarly evil accompaniments of present-day civilization".--Barry Gewen, New Republic.
This is a compilation of papers presented at the 6th International Conference on Asian and Pacific Coasts (APAC2011) held on December 14OCo16, 2011 in Hong Kong, China. It contains more than 200 articles addressing a wide spectrum of issues, ranging from conventional coastal engineering problems (such as wave hydrodynamics and sediment transport) to issues of contemporary interest (such as tsunami, coastal development, climate change and seawater level rise, shoreline protection, marine energy, nearshore ecology, oil spill, etc.). Authors present their experiences in tackling these problems, by means of theoretical modeling, numerical simulation, laboratory and field observations, with an aim to advance fundamental understanding of the controlling mechanisms, as well as to develop solutions for practical designs. This volume serves to promote technological progress and activities, technical knowledge transfer and cooperation on an international scale.
“Do not urge me to abandon you, to turn back from following after you. For wherever you go, I will go, and wherever you lodge, I will lodge. Your people are my people, and your God is my God.” In this pivotal verse, Ruth’s self-sacrificial declaration of loyalty to her mother-in-law Naomi forms the relationship at the heart of the book of Ruth. Peter H. W. Lau’s new commentary explores the human and divine love at the center of the narrative as well as the book’s relevance to Christian theology. In the latest entry in the New International Commentary on the Old Testament, Lau upholds the series’ standard of quality. The Book of Ruth includes detailed notes on the translation and pays careful attention to the original Hebrew and the book’s historical context, all the while remaining focused on Ruth’s relevance to Christian readers today. An indispensable resource for pastors, scholars, students, and all readers of Scripture, Lau’s commentary is the perfect companion to one of the most beloved books of the Old Testament.
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