A Primer to the Theory of Critical Phenomena

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Author :
Publisher : Elsevier
ISBN 13 : 0128048360
Total Pages : 254 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis A Primer to the Theory of Critical Phenomena by : Jurgen M. Honig

Download or read book A Primer to the Theory of Critical Phenomena written by Jurgen M. Honig and published by Elsevier. This book was released on 2018-02-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities. Provides a thorough and accessible treatment of the fundamentals of critical phenomena Offers an in-depth exposition on renormalization and field theory techniques Includes experimental observations of critical effects Includes live examples illustrating the applications of the theoretical material

Modern Theory Of Critical Phenomena

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Publisher : Routledge
ISBN 13 : 0429967438
Total Pages : 591 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Modern Theory Of Critical Phenomena by : Shang-keng Ma

Download or read book Modern Theory Of Critical Phenomena written by Shang-keng Ma and published by Routledge. This book was released on 2018-05-04 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important contributor to our current understanding of critical phenomena, Ma introduces the beginner--especially the graduate student with no previous knowledge of the subject-to fundamental theoretical concepts such as mean field theory, the scaling hypothesis, and the renormalization group. He then goes on to apply the renormalization group to selected problems, with emphasis on the underlying physics and the basic assumptions involved.

Soft Matter

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Publisher : Princeton University Press
ISBN 13 : 0691191301
Total Pages : 622 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Soft Matter by : Wim van Saarloos

Download or read book Soft Matter written by Wim van Saarloos and published by Princeton University Press. This book was released on 2024-03-26 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Soft matter science is an interdisciplinary field at the interface of physics, biology, chemistry, engineering, and materials science. It encompasses colloids, polymers, and liquid crystals as well as rapidly emerging topics such as metamaterials, memory formation and learning in matter, bioactive systems, and artificial life. This textbook introduces key phenomena and concepts in soft matter from a modern perspective, marrying established knowledge with the latest developments and applications. The presentation integrates statistical mechanics, dynamical systems, and hydrodynamic approaches, emphasizing conservation laws and broken symmetries as guiding principles while paying attention to computational and machine learning advances. The book features introductory chapters on fluid mechanics, elasticity, and stochastic phenomena and also covers advanced topics such as pattern formation and active matter. it discusses technological applications as well as relevant phenomena in the life sciences and offers perspectives on emerging research directions"--

Critical Properties of Phi4-Theories

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Author :
Publisher : World Scientific
ISBN 13 : 9814490792
Total Pages : 512 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Critical Properties of Phi4-Theories by : Hagen Kleinert

Download or read book Critical Properties of Phi4-Theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001-07-30 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition. Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants. The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book). The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models. Contents:Definition of phi4-TheoryFeynman DiagramsDiagrams in Momentum SpaceStructural Properties of Perturbation TheoryDiagrams for Multicomponent FieldsScale Transformations of Fields and Correlation FunctionsRegularization of Feynman IntegralsRenormalizationRenormalization GroupRecursive Subtraction of UV-Divergences via R-OperationZero-Mass Approach to CountertermsCalculation of Momentum Space IntegralsGeneration of DiagramsResults of the Five-Loop CalculationBasic Resummation TheoryCritical Exponents of O(N)-Symmetric TheoryCubic AnisotropyVariational Perturbation TheoryCritical Exponents from Other ExpansionsNew Resummation AlgorithmConclusion:Diagrammatic R-Operation Up to Five LoopsContributions to Renormalization-Constants Readership: Graduate students, researchers and academics/lecturers in theoretical physics. Keywords:Reviews:“This book is overall a very good one on the RG as applied to critical phenomena. I believe that it will soon achieve the status of a standard reference book on this subject.”Journal of Statistical Physics

Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems

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Publisher : Cambridge University Press
ISBN 13 : 9780521408066
Total Pages : 440 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems by : Claude Itzykson

Download or read book Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems written by Claude Itzykson and published by Cambridge University Press. This book was released on 1991-03-29 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory. Volume 2: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. This two-volume work provides a comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to the fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics. The second volume covers more diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces which illustrates the relations between string theory and statistical physics. The two volumes that make up this work will be useful to theoretical physicists and applied mathematicians who are interested in the exciting developments which have resulted from the synthesis of field theory and statistical physics.

Field Theory

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Author :
Publisher : Routledge
ISBN 13 : 0429689012
Total Pages : 345 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Field Theory by : Pierre Ramond

Download or read book Field Theory written by Pierre Ramond and published by Routledge. This book was released on 2020-09-29 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent advances of perturbative relativistic field theory in a pedagogical and straightforward way. For graduate students who intend to specialize in high-energy physics.

Critical Properties of [Greek Letter Phi]4-theories

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Publisher : World Scientific
ISBN 13 : 9789810246594
Total Pages : 526 pages
Book Rating : 4.2/5 (465 download)

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Book Synopsis Critical Properties of [Greek Letter Phi]4-theories by : Hagen Kleinert

Download or read book Critical Properties of [Greek Letter Phi]4-theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-î dimensions, where they possess pole terms in 1/î. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Pad‚ and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent à governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-î dimensions, and improved ratio tests in high-temperature expansions of lattice models.

Critical Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139867202
Total Pages : 529 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Critical Dynamics by : Uwe C. Täuber

Download or read book Critical Dynamics written by Uwe C. Täuber and published by Cambridge University Press. This book was released on 2014-03-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing a unified framework for describing and understanding complex interacting systems common in physics, chemistry, biology, ecology, and the social sciences, this comprehensive overview of dynamic critical phenomena covers the description of systems at thermal equilibrium, quantum systems, and non-equilibrium systems. Powerful mathematical techniques for dealing with complex dynamic systems are carefully introduced, including field-theoretic tools and the perturbative dynamical renormalization group approach, rapidly building up a mathematical toolbox of relevant skills. Heuristic and qualitative arguments outlining the essential theory behind each type of system are introduced at the start of each chapter, alongside real-world numerical and experimental data, firmly linking new mathematical techniques to their practical applications. Each chapter is supported by carefully tailored problems for solution, and comprehensive suggestions for further reading, making this an excellent introduction to critical dynamics for graduate students and researchers across many disciplines within physical and life sciences.

Quantum Field Theory and Critical Phenomena

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Author :
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 1040 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Field Theory and Critical Phenomena by : Jean Zinn-Justin

Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press, USA. This book was released on 1996 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last twenty years quantum field theory has become not only the framework for the discussion of all fundamental interactions except gravity, but also for the understanding of second-order phase transitions in statistical mechanics.This advanced text is based on graduate courses and summer schools given by the author over a number of years. It approaches the subject in terms of path and functional intergrals, adopting a Euclidean metric and using the language of partition and correlation functions. Renormalization and therenormalization group are examined, as are critical phenomena and the role of instantons.Changes for this edition1. Extensive revision to eliminate a few bugs that had survived the second edition and (mainly) to improve the pedagogical presentation, as a result of experience gathered by lecturing.2. Additional new topics; holomorphic or coherent state path integral; functional integral and representation of the field theory S-matrix in the holomorphic formalis; non-relativistic limit of massive quantization and brief discussion of non-renormalization of quantum gravity based on Einsteinaction.3. Finally 65 pages of solutions or hints of solutions to the exercises at the ends of chapters.

Thermodynamics

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Publisher : Academic Press
ISBN 13 : 0128233699
Total Pages : 492 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Thermodynamics by : Jurgen M. Honig

Download or read book Thermodynamics written by Jurgen M. Honig and published by Academic Press. This book was released on 2020-11-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics: Principles Characterizing Physical and Chemical Processes, Fifth Edition is an authoritative guide on the physical and chemical processes based on classical thermodynamic principles. Emphasis is placed on fundamental principles, with a combination of theory and practice that demonstrates their applications in a variety of disciplines. Revised and updated to include new material and novel formulations, this edition features a new chapter on algebraic power laws and Fisher information theory, along with detailed updates on irreversible phenomena, Landau theory, self-assembly, Caratheodory’s theorem, and the effects of externally applied fields. Drawing on the experience of its expert author, this book is a useful tool for both graduate students, professional chemists, and physicists who wish to acquire a more sophisticated overview of thermodynamics and related subject matter. Updated to reflect the latest developments in the field, including a new chapter on algebraic power laws and Fisher information theory Includes clear explanations of abstract theoretical concepts Provides exhaustive coverage of graphical, numerical and analytical computational techniques

Ageing and the Glass Transition

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Publisher : Springer Science & Business Media
ISBN 13 : 3540696830
Total Pages : 362 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Ageing and the Glass Transition by : Malte Henkel

Download or read book Ageing and the Glass Transition written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2007-04-24 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding cooperative phenomena far from equilibrium is one of the fascinating challenges of present-day many-body physics. Glassy behaviour and the physical ageing process of such materials are paradigmatic examples. The present volume, primarily intended as introduction and reference, collects six extensive lectures addressing selected experimental and theoretical issues in the field of glassy systems.

Percolation Theory and Ergodic Theory of Infinite Particle Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461387345
Total Pages : 322 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Percolation Theory and Ergodic Theory of Infinite Particle Systems by : Harry Kesten

Download or read book Percolation Theory and Ergodic Theory of Infinite Particle Systems written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in ~athematics and its Applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizing Committee, Harry Kesten (Chairman), Richard Holley, and Thomas Liggett for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE Percolation theory and interacting particle systems both have seen an explosive growth in the last decade. These suhfields of probability theory are closely related to statistical mechanics and many of the publications on these suhjects (especially on the former) appear in physics journals, wit~ a great variahility in the level of rigour. There is a certain similarity and overlap hetween the methods used in these two areas and, not surprisingly, they tend to attract the same probabilists. It seemed a good idea to organize a workshop on "Percolation Theory and Ergodic Theory of Infinite Particle Systems" in the framework of the special probahility year at the Institute for Mathematics and its Applications in 1985-86. Such a workshop, dealing largely with rigorous results, was indeed held in February 1986.

Statistical Mechanics And Field Theory - Proceedings Of The Seventh Physics Summer School

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Author :
Publisher : World Scientific
ISBN 13 : 9814548731
Total Pages : 472 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistical Mechanics And Field Theory - Proceedings Of The Seventh Physics Summer School by : Bazhanov Vladimir V

Download or read book Statistical Mechanics And Field Theory - Proceedings Of The Seventh Physics Summer School written by Bazhanov Vladimir V and published by World Scientific. This book was released on 1995-12-21 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume aims to expose graduate students to the basic ideas of field theory and statistical mechanics and to give them an understanding and appreciation of current topical research.

Quantum Field Theory in Condensed Matter Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037742
Total Pages : 213 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Naoto Nagaosa

Download or read book Quantum Field Theory in Condensed Matter Physics written by Naoto Nagaosa and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.

Quantum Field Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110648520
Total Pages : 443 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Quantum Field Theory by : Michael V. Sadovskii

Download or read book Quantum Field Theory written by Michael V. Sadovskii and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The theoretical results are derived using the physical phenomena as a starting point. This inductive approach allows a deep understanding of the methods used for solving problems in this field. This second, revised edition is expanded with biographical notes contextualizing the main results in quantum field theory.

The Standard Model and Beyond

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Publisher : CRC Press
ISBN 13 : 1498763227
Total Pages : 651 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Standard Model and Beyond by : Paul Langacker

Download or read book The Standard Model and Beyond written by Paul Langacker and published by CRC Press. This book was released on 2017-06-26 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems. The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics. Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors.

Contemporary Climate Change Debates

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Publisher : Routledge
ISBN 13 : 0429821158
Total Pages : 281 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Contemporary Climate Change Debates by : Mike Hulme

Download or read book Contemporary Climate Change Debates written by Mike Hulme and published by Routledge. This book was released on 2019-11-27 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Climate Change Debates is an innovative new textbook which tackles some of the difficult questions raised by climate change. For the complex policy challenges surrounding climate migration, adaptation and resilience, structured debates become effective learning devices for students. This book is organised around 15 important questions, and is split into four parts: What do we need to know? What should we do? On what grounds should we base our actions? Who should be the agents of change? Each debate is addressed by pairs of one or two leading or emerging academics who present opposing viewpoints. Through this format the book is designed to introduce students of climate change to different arguments prompted by these questions, and also provides a unique opportunity for them to engage in critical thinking and debate amongst themselves. Each chapter concludes with suggestions for further reading and with discussion questions for use in student classes. Drawing upon the sciences, social sciences and humanities to debate these ethical, cultural, legal, social, economic, technological and political roadblocks, Contemporary Debates on Climate Change is essential reading for all students of climate change, as well as those studying environmental policy and politics and sustainable development more broadly.