- Table View
- List View
Groundwater in the Coastal Zones of Asia-Pacific
by Christoph WetzelhuetterGroundwater management and conservation becomes a more and more important issue in the heavily urbanized coastal zones of the Asia-Pacific region. This volume presents a comprehensive overview of the status of coastal groundwater research in this diverse region. It includes latest methodologies and technologies to assess processes associated with coastal groundwater development. Case studies and local examples from a broad geographical range of continental shoreline and island settings give an understanding of the diversity of coastal aquifers and the groundwater recourses they harbour. Audience: By providing a clearer understanding of the hydrogeological and hydrochemical processes, this volume offers a critical tool to coastal researchers, geoscientists in related fields, water engineers, groundwater managers and decision makers as it illustrates the human and environmental impacts on coastal groundwater resources and the relationship to coastal zone management strategies and the development of sustainable management approaches.
Groundwater in the Nile Delta (The Handbook of Environmental Chemistry #73)
by Abdelazim M. NegmThis unique volume offers an up-to-date overview of all the main aspects of groundwater in the Nile Delta and its fringes, as well as latest research findings. The themes covered include: · Nile Delta aquifer formation and its characteristics · The use of the groundwater in the Nile Delta and its implications · Sedimentology and hydrogeophysical characteristics · Groundwater investigations and aquifer characterization using current direct resistivity and induced polarization · Groundwater contamination and degradation · Saltwater intrusion and its control · Delineation of groundwater flow and seawater intrusion using various techniques, including one-dimensional subsurface temperature profiles, geoelectrical resistivity, and integrated subsurface thermal regime and hydrogeochemical data · Modeling of groundwater and of saltwater intrusion in the Nile Delta aquifer · Excessive pumping and groundwater quality assessment for irrigation and drinking purposes · Groundwater management for sustainability in the Nile Delta. The volume appeals to postgraduate students, researchers, scientists, professionals, decision makers and planners.
Groundwater Law and Management in India: From an Elitist to an Egalitarian Paradigm
by Sarfaraz Ahmed Khan Tony George Puthucherril Sanu Rani PaulThis book presents a comprehensive analysis of the existing nature of India’s groundwater laws. In the backdrop of the gravity of groundwater crisis that threatens to engulf the country, the book examines the correlation between the imperfections in the law and water crisis and advocates a reform agenda to overhaul the legal framework. It accomplishes this objective by examining how some of the States and Union Territories regulate and manage groundwater through the legal instrumentality against the backdrop of the two conflicting paradigms: the “elitist” and the “egalitarian.” The book’s fundamental premise is that despite being an extraordinarily critical resource that supports India’s burgeoning population’s ever-increasing water demands, groundwater is abused and mismanaged. The key argument that it posits is that the elitist paradigm must give way to an egalitarian one where groundwater is treated as a common property resource. To place this message in perspective, the book’s introduction explains the dichotomy between the two paradigms in the context of groundwater. This sets the stage, after which the book is divided thematically into three parts. The first part deals with some of the general groundwater management concerns brought to the fore by the operation of the elitist paradigm. Since water is constitutionally a State subject, the second part analyses the groundwater legislations of different States and Union Territories set against their unique circumstances. As these laws do not dismantle the elitist paradigm that interlocks groundwater rights to land rights, the next part articulates the legal reform agenda where a case is made to re-engineer groundwater laws to reflect a more sustainable basis. The findings and arguments resonate with the situation in many developing countries around the world due to which the book is a valuable resource for researchers across disciplines studying this area, and also for policy makers, think tanks, and NGOs.Groundwater Management–Inter-state Water Conflicts–Aquifers–Water Markets–Water Security–Water Law Reform–Groundwater Law–Water Law–Sustainable Development–Hydrology
Groundwater Lowering in Construction: A Practical Guide to Dewatering
by Pat M. Cashman Martin PreenePraise for the Second Edition: "This is the book that the dewatering sector really needs – it is reliably based on sound theory and profound understanding of the physical processes, yet is presented in a very accessible and user-friendly manner. It draws on many, many decades of experience, and yet is utterly up to date. . . . It is a one-stop shop for the dewatering practitioner – who can nonetheless rest assured that the theoretical basis of the methods presented is flawless."— Professor Paul L. Younger, FGS, FICE, C.Geol., C.Eng., FREng, University of Glasgow, Scotland, UK "The best reference on this topic available . . . and will prove useful to a wide variety of readers ranging from junior construction engineers or dewatering contractors to theoretical hydrogeologists and environmental managers. It is rare that a book is able to bridge the gap between theoretical design guidance and practical application." — S.N. Sterling, University of Waterloo, Canada The extensively updated Groundwater Lowering in Construction: A Practical Guide to Dewatering, 3rd Edition offers practical advice on all phases of groundwater control systems, from planning and design, through installation and maintenance, and ultimately decommissioning. The expertise provided in this book can help you improve working conditions, increase project viability, save time and reduce excavation costs. Designers and managers of construction and engineering projects are given the tools necessary to effectively control groundwater. The content is divided into three sections – Principles, Design and Construction. The Principles section explains the fundamentals of groundwater flow as it relates to civil engineering excavations. The Design section explores in extensive detail site investigation, permeability assessment methods and groundwater control strategies. Chapters in the Construction section describe dewatering and exclusion techniques, and examine the complete life cycle of a groundwater control scheme, including monitoring, maintenance and decommissioning. This section incorporates eleven case histories from the authors’ casebook. The 3rd edition has been greatly revised and updated, and contains more than 200 new illustrations. The new content covers: Permeability of soils and rocks Groundwater problems for excavations in rock Groundwater control for tunnelling projects, such as shafts and cross passages Methods for assessing permeability Decommissioning of dewatering systems Optimisation of groundwater control schemes. The new, expanded content offers valuable direction that can give you a true competitive advantage in the planning and execution of temporary and permanent dewatering works for excavation and tunnelling. Written for practising engineers, geologists and construction managers, as well as postgraduate engineering students, this revamped manual on design and practice presents numerous case studies and extensive references to enhance understanding. Martin Preene is a groundwater consultant, based in the UK. He has more than 30 years’ experience working on dewatering and groundwater control projects worldwide.The late Pat Cashman was the leading British exponent of groundwater control for his generation, championing a practical and straightforward approach for more than forty years.
Groundwater Management in the East of the European Union
by Tomasz NaleczThis volume is the result of work carried out under the NATO SPS Study Pilot Project "Sustainable Use and Protection of Groundwater Resources - Transboundary Water Management." It contains basic information on hydrogeological conditions, groundwater management and monitoring in areas of the Belarus, Lithuanian, Polish and Ukrainian borders, simultaneously borders of the European Union with its eastern partners. In view of the importance of the rational utilization of groundwater reserves, which is essential for our future existence, the book presents recommendations for a united methodology of an integrated groundwater monitoring system in this transnational area. The contributions also cover environmental and surface water issues that have direct effects on groundwater resources. The financial dimension of resource mobilization for environmental projects in Eastern Europe also features as part of a complex project solution.
Groundwater of South Asia (Springer Hydrogeology Ser.)
by Abhijit MukherjeeThis book presents recent findings from the South Asian region (SA), broadly including groundwater studies on (a) quantity, (b) exploration, (c) quality and pollution, (d) economics, management and policies, (e) groundwater and society, and (f) sustainable sources. It offers a compilation of compelling, authentic insights into groundwater scenarios throughout the water-stressed South Asia region. Comprising Afghanistan, Bangladesh, Bhutan, India, Myanmar, Nepal, Pakistan, and Sri Lanka, it is the most densely populated region in the world: It occupies approximately 4% of the global land area but supports more than 25% of the global population. The SA region now faces an acute shortage of fresh water due to a rapid rise in water demand and changes in societal water-use patterns. Combining essential advances and perspectives, this book offers a valuable resource for all scientists, planners and policymakers who are interested in understanding and developing the SA and other related areas.
Groundwater overexploitation in the North China Plain: A path to sustainability (Springer Water)
by Wolfgang Kinzelbach Haijing Wang Yu Li Lu Wang Ning LiOver-pumping of aquifers is a worldwide problem, mainly caused by agricultural water use. Among its consequences are the falling dry of streams and wetlands, soil subsidence, die-off of phreatophytic vegetation, saline water intrusion, increased pumping cost and loss of storage needed for drought relief. Stopping or reversing the trend requires management interventions. The North China Plain serves as an example. A management system is set up for a typical county. It contains three components: monitoring, decision support based on modelling, and implementation in the field. Besides all monitoring data, the decision support module contains an irrigation calculator, a box model, and a distributed groundwater model to project the outcomes of different water allocation scenarios. In view of grain security, a solution combines an adaptation of the cropping system with imports of surface water from the South. The Open Access book does not only describe the problem and the path to its solution. It also gives access to nine manuals concerning methods used. They include computer programs and the game Save the Water. The Chinese experience should be of considerable interest to other regions in the world which suffer from over-pumping of aquifers.
Groundwater Pollution Risk Control from an Industrial Economics Perspective: A Case Study On The Jilin Section Of The Songhua River (SpringerBriefs in Environmental Science)
by Beidou Xi Jinsheng Wang Jianwei Xu Huan HuanThis book argues that groundwater pollution risk assessment is the essential foundation of groundwater pollution prevention and control. It is on this basis that economic leverage is used to make new breakthroughs in groundwater protection and governance. Presenting a case study on the Jilin Section of the Songhua River, the book applies the overlay index method to assess the shallow groundwater pollution risk and identify high-risk areas and major pollution sources in an effort to identify the mechanism of interaction between industrial structures and groundwater pollution. Further, it proposes concrete measures for preventing and controlling groundwater pollution from an industrial economics perspective. As such, the book offers a valuable resource for all graduate students, lecturers and researchers who are interested in learning about resources and environmental economics.
Groundwater Prospecting and Management
by H. P. Patra Shyamal Kumar Adhikari Subrata KunarThe book provides an elaborate treatment of groundwater prospecting and management covering remote sensing, geological-geophysical cum hydrogeological studies, exploration (geological and geophysical), development (well logging techniques, pump test, its analysis and applications in well design), contamination (pollution of groundwater) and regulatory legislations regarding groundwater utilization under one cover. The book presents an elucidation of fundamental and theoretical background of each technique supported by necessary illustrative examples and exclusive case studies. It is a text-cum-reference book not only for students, research scholars and practicing earth scientists but also for practicing civil and agricultural engineers working in the application of groundwater resources, engaged in its exploration, development, contamination, legislation and management. The general readers can also refer the book for understanding the groundwater domain for adequate knowledge, as groundwater resources are essential life support commodity which is replenishable but not inexhaustible.
Groundwater Quality and Geochemistry in Arid and Semi-Arid Regions (The Handbook of Environmental Chemistry #126)
by Shakir Ali Abdelazim NegmThis book reviews groundwater quality and its major global contaminants, and collects the latest advances in the analysis, remediation, risk assessment, and hydrogeochemistry of groundwater in countries such as Algeria, Egypt, Ghana, Kazakhstan, Morocco, Saudi Arabia, and the USA. This book mainly focuses on the major arid and semi-arid areas where groundwater is scarce and highly polluted with geogenic and anthropogenic contaminants and the recharge to the groundwater is negligible due to limited rainfall. Divided into 2 parts, the book starts by covering topics like assessment and protection of groundwater in arid and semi-arid regions, groundwater pollution, and contamination risk assessment. Particular attention is given to the application of environmental isotopes in groundwater studies and how anthropogenic activities impact groundwater quality, the impact of irrigation reservoirs in groundwater and soil quality, and how artificial intelligence is applied to forecast groundwater quality. In the second part of this book, readers will find more about the major global contaminants of groundwater in arid and semi-arid areas, including a geochemical analysis of fluoride and nitrate contamination. Supported by regional case studies, this book appeals to researchers, scholars, and professionals working in the field of groundwater contamination and remediation and is also an important account for policymakers.
Groundwater Radon in the Taiwan Subduction Zone: A Natural Strain-Meter for Earthquake Prediction (Advances in Geological Science)
by Ming-Ching Tom KuoThis book presents the mechanism of in-situ radon volatilization and outlines the geological requisites to site a radon monitoring well for earthquake warning. A small fractured aquifer under undrained conditions is an effective natural strain meter for earthquake prediction. It shows significant merit on a local basis, and most importantly, the analysis can also be applied globally in subduction zones with similar tectonic settings and physical–chemical relationships.Between 2003 and 2010, anomalous declines in groundwater radon concentration were recurrently recorded at Antung, Taiwan, which are considered as precursory to local major earthquakes. The correlations between radon decline and earthquake magnitude are useful for early warning of local main earthquakes. The book consists of 7 chapters. Chapter 1 presents background information and the objectives of the book. Chapter 2 illustrates the methods of monitoring groundwater radon and a brief review of earthquake prediction research using groundwater radon. Chapter 3 provides the details of anomalous decrease in groundwater radon before the Taiwan Mw 6.8 Chengkung Earthquake of 2003. Chapter 4 provides the description of the mechanism of groundwater-radon volatilization. Chapter 5 shows the recurrent anomalous declines in groundwater radon concentration consistently recorded at Antung, Taiwan, prior to local main earthquakes that occurred between 2003 and 2010. Monitoring groundwater radon in small, unconfined fractured aquifers is explained in Chapter 6, followed by an analysis of correlating precursory declines in groundwater radon, precursory time with earthquake magnitudes for small, confined fractured aquifers in Chapter 7.
Groundwater Resources Development and Planning in the Semi-Arid Region
by Chaitanya B. Pande Kanak N. MoharirThis book addresses the various challenges in achieving sustainable groundwater development, management, and planning in semi-arid regions, with a focus on India, and discusses advanced remote sensing and GIS techniques for the estimation and management of groundwater resources. The book is timely as there is a need for a better understanding of the various tools and methods required to efficiently and sustainably meet the growing demand for clean surface and groundwater in developing countries, and how these tools can be combined with other strategies in a multi-disciplinary fashion to achieve this goal in water-scarce regions. To wit, the book combines remote sensing and GIS techniques, runoff modeling, aquifer mapping, land use and land cover analyses, evapotranspiration estimation, crop coefficients, and water policy approaches. This will be of use to academics, policymakers, social scientists, and professionals involved in the various aspects of sustainable groundwater development, planning, and management.
Groundwater Sustainability: Conception, Development, and Application (Palgrave Studies in Environmental Sustainability)
by Robert E. MaceThis book will provide a comprehensive discussion of groundwater sustainability, including what it is, how its definition has changed over time, why traditional assessments of it are wrong, how assessments of it are ideally multidisciplinary efforts recognizing that policy is more controlling of outcomes than science, and why achieving it is difficult once pumping exceeds sustainable levels of pumping. The book will provide a nontechnical background of hydrogeology relevant to groundwater sustainability and present several case studies from around the United States and the world. The book has been designed to appeal to academics, students, and practitioners. Academics, particularly those just getting into the subject, will find the book a useful entry in terms of management concepts and political realities of attempting to achieve groundwater sustainability. It will also be useful to academics in that the book will include discussions on the history and development of groundwater sustainability and the practical aspects of aspiring to and achieving sustainable production. Although not a textbook, the book could be used as the basis for teaching a course or as a supplement to a hydrogeology or groundwater management class. Accordingly, the book will include questions and additional reading materials at the end of each chapter. This book will also be useful to practitioners through non-technical explanations of the sciences, discussions of the nuances of defining sustainability in aquifers, and the presentation of case studies where sustainable management has failed and succeeded.
Groundwater Vulnerability: Chernobyl Nuclear Disaster
by Boris Faybishenko Alexander Bohuslavsky Volodymir Bublias Thomas J. Nicholson Vyacheslav ShestopalovThe Chernobyl Nuclear Power Plant (NPP) disaster that occurred in Ukraine on April 26, 1986, was one of the most devastating in human history. Using this as a case study, the AGU monograph Groundwater Vulnerability: Chernobyl Nuclear Disaster is devoted to the problem of groundwater vulnerability, where the results of long-term field and modeling investigations of radionuclide transport in soil and groundwater, within the Ukrainian part of the Dnieper River basin (Kyiv region of Ukraine), are discussed. The authors provide a comprehensive review of existing literature on the assessment of groundwater vulnerability and then describe an improved methodology, which is developed based on integration of the methods of hydrogeological zonation and modeling of anomalously fast migration of radioactive contaminants from the land surface toward groundwater. This volume also includes the evaluation of the effect of preferential and episodic flow on transport of radionuclides toward the aquifers and risk assessment of groundwater vulnerability, which can further assist future researchers in developing remediation technologies for improving drinking water quality. Further, this volume sheds light on the consequences of groundwater contamination from nuclear disasters and assists with assessing the risks associated with contamination and developing effective remediation technologies. Volume highlights include discussions of the following: - Assessment of groundwater vulnerability to contamination from the Chernobyl nuclear disaster - Novel analytical results of the 25-year investigations of groundwater contamination caused by Chernobyl-born radionuclides - The wealth of data on different modes of radioactive transport in the atmosphere, water, and soils, and along the food chains - The hydrogeological and physico-chemical processes and factors in groundwater contaminated zones - The applicability of commonly used methods of the evaluation of groundwater vulnerability - A unique method of fluid dynamics that involves an anomalously fast migration of contaminants through zones of preferential flow from the land surface toward groundwater - Building confidence in the assessment of migration pathways of radionuclides in the biosphere - Assessment and prediction of the consequences of the nuclear accident, which can shed light on protection from global nuclear accidents - Analogue information for different nuclear waste disposal and environmental projects around the world
Groundwater Vulnerability and Pollution Risk Assessment (IAH - Selected Papers on Hydrogeology #24)
by Andrzej J. Witkowski Sabina Jakóbczyk-Karpierz Joanna Czekaj Dorota GrabalaThis volume contains 15 selected papers presented at two IAH conferences which were held in Ustroń, Poland in 2015 ("Groundwater Vulnerability - From Scientific Concept to Practical Application" ) and in 2018 ("New Approaches to Groundwater Vulnerability"). The contents of the book is divided in four main parts. In addition to the comparison and validation of different methods of groundwater vulnerability (DRASTIC, GOD, PI, RTt, AVI, SINTACS, COP) the book contains new interesting aspects of vulnerability assessment regarding, for example, evaluation of coastal aquifer vulnerability and aquifer vulnerability to methane gas leakage from shale gas wells. The book also contains the results of studies on factors affecting intrinsic and specific vulnerability assessment (migration of antibiotics and nitrate, groundwater-surface water interaction). An interesting aspect of the book are examples of the different national approaches to groundwater vulnerability mapping (Poland, Ireland, Italy). The book will be very useful for hydrogeologists interested in groundwater vulnerability, experts interested in risk assessment, environmentalists, land use planners, water managers, employees of companies from the environmental industry, regional and local environmental protection councils, and students.
Groundwater Vulnerability Assessment and Mapping using DRASTIC Model
by Prashant Kumar Praveen Thakur Sanjit DebnathThis book shows the effectiveness of DRASTIC model in a geographical setting for validation of vulnerable zones and presents the optimization of parameters for the development of precise maps highlighting several zones with varied contamination. Impact of vadose zone has also been assessed by considering every sub-surface layer. Exclusive title covering effectiveness of DRASTIC model for groundwater vulnerability assessment Reviews of the strengths and limitations of assessment methods Presents multi-criteria evaluation of hydro-geological and anthropogenic factors Discusses integration with geographic information system (GIS) and remote sensing (RS) Includes application of groundwater governance framework with a case study study of a geographical setting
GROUP 24: Physical and Mathematical Aspects of Symmetries: Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris, 15-20 July 2002
by J-P Gazeau R Kerner J-P Antoine S Métens J-Y ThibonAs a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections.
Group-Theoretic Methods in Mechanics and Applied Mathematics
by D.M. KlimovGroup analysis of differential equations has applications to various problems in nonlinear mechanics and physics. Group-Theoretic Methods in Mechanics and Applied Mathematics systematizes the group analysis of the main postulates of classical and relativistic mechanics. Exact solutions are given for the following equations: dynamics of rigid body, heat transfer, wave, hydrodynamics, Thomas-Fermi, and more. The author pays particular attention to the application of group analysis to developing asymptotic methods for problems with small parameters. This book is designed for a broad audience of scientists, engineers, and students in the fields of applied mathematics, mechanics and physics.
Group Theoretical Methods in Physics: Proceedings of the XXV International Colloqium on Group Theoretical Methods in Physics, Cocoyoc, Mexico, 2-6 August, 2004 (Institute of Physics Conference Series)
by George S. Pogosyan, Luis Edgar Vicent and Kurt Bernardo WolfThis book discusses group theoretical methods and their applications in physics, chemistry, and biology. It covers traditional subjects including Lie group and representation theory, special functions, foundations of quantum mechanics, and elementary particle, nuclear, atomic, and molecular physics. More recent areas discussed are supersymmetry, superstrings and quantum gravity, integrability, nonlinear systems and quantum chaos, semigroups, time asymmetry and resonances, condensed matter, and statistical physics. Topics such as linear and nonlinear optics, quantum computing, discrete systems, and signal analysis have only in the last few years become part of the group theorists' turf.
Group Theoretical Methods in Physics. Volume II: Proceedings of the Third Yurmala Seminar, Yurmala, USSR, 22-24 May 1985
by M. A. Markov V. I. Man'Ko V. V. DodonovThese Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons.
Group Theory for High Energy Physicists
by Mohammad Saleem Muhammad RafiqueAlthough group theory has played a significant role in the development of various disciplines of physics, there are few recent books that start from the beginning and then build on to consider applications of group theory from the point of view of high energy physicists. Group Theory for High Energy Physicists fills that role. It presents groups, e
Group Theory in Physics: An Introduction with a Focus on Solid State Physics (Undergraduate Lecture Notes in Physics)
by Jörg BünemannThis textbook provides a didactic introduction to the topic of group theory in physics, with a special focus on solid state physics issues. The book is useful for students who encounter such problems in their first scientific work (in theory or experiment). In addition to the basic introduction to group theory and representation theory, the book deals with point groups, double point groups, and space groups, which are essential in solid state physics. As an example for systems with space group symmetry, electrons in periodic potentials are discussed. Furthermore, there are chapters on material tensors and the Wigner Eckart theorem for the evaluation of matrix elements. The latter is especially interesting for students dealing with spectroscopic problems. The content is accompanied by a series of exercises and examples. A set of solutions can be found in the appendix.
Group Theory in the Bedroom, and Other Mathematical Diversions
by Brian HayesAn Award-Winning Essayist Plies His CraftBrian Hayes is one of the most accomplished essayists active today—a claim supported not only by his prolific and continuing high-quality output but also by such honors as the National Magazine Award for his commemorative Y2K essay titled "Clock of Ages," published in the November/December 1999 issue of The Sciences magazine. (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The BestAmerican Magazine Writing, The Best American Science and NatureWriting, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces—including "Clock of Ages"—embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.
Groups, Invariants, Integrals, and Mathematical Physics: The Wisła 20-21 Winter School and Workshop (Tutorials, Schools, and Workshops in the Mathematical Sciences)
by Maria Ulan Stanislav HronekThis volume presents lectures given at the Wisła 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics. The lectures were dedicated to differential invariants – with a focus on Lie groups, pseudogroups, and their orbit spaces – and Poisson structures in algebra and geometry and are included here as lecture notes comprising the first two chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and category theory. Specific topics covered include:The multisymplectic and variational nature of Monge-Ampère equations in dimension fourIntegrability of fifth-order equations admitting a Lie symmetry algebraApplications of the van Kampen theorem for groupoids to computation of homotopy types of striped surfacesA geometric framework to compare classical systems of PDEs in the category of smooth manifoldsGroups, Invariants, Integrals, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry and category theory is assumed.
Groups, Representations and Physics
by H.F JonesIllustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.