This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.

In this second volume the following topics are treated: Solvability of operator equations in Banach spaces, Linear operators in Hilbert spaces and spectral theory, Schauder's theory of linear elliptic differential equations, Weak solutions of differential equations, Nonlinear partial differential equations and characteristics, Nonlinear elliptic systems with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, functional analytic methods are used in this volume.

This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.

. . .a practical collection. . .describing chromatographic methods for analyzing significant food and environmental contaminants and chronically toxic substances. The table of contents reflects the types of chemicals referenced in this volume. Shibamato focuses. . .concern on gathering adequate knowledge about uptake of substances where humans may be subjected to chronic toxicity. . ..Many tables and illustrative figures add to the usefulness of this book. It is suitable for academic and special libraries with an interest in environmental or food toxicants and in chromatographic applications.
---E-Streams

. . .particularly useful for people looking for general information before developing routing analysis. . .and for students who will find...an update application of chromatographic science in natural matrices.
---Analusis (European Journal of Analytical Chemistry)

Shows how to choose the most effective techniques for assessing the toxicity of chemicals in both food and the environment. examines a wide range of volatile compounds from toxic aldehydes and pesticides to micotoxins and dioxins.

. . .a practical collection. . .describing chromatographic methods for analyzing significant food and environmental contaminants and chronically toxic substances. The table of contents reflects the types of chemicals referenced in this volume. Shibamato focuses. . .concern on gathering adequate knowledge about uptake of substances where humans may be subjected to chronic toxicity. . ..Many tables and illustrative figures add to the usefulness of this book. It is suitable for academic and special libraries with an interest in environmental or food toxicants and in chromatographic applications.
---E-Streams

. . .particularly useful for people looking for general information before developing routing analysis. . .and for students who will find...an update application of chromatographic science in natural matrices.
---Analusis (European Journal of Analytical Chemistry)

Shows how to choose the most effective techniques for assessing the toxicity of chemicals in both food and the environment. examines a wide range of volatile compounds from toxic aldehydes and pesticides to micotoxins and dioxins.

Unique in its approach, content, and perspective, this book helps readers bridge the application gap between mathematics and chemistry and to acquire a fuller set of mathematical tools necessary for such applications. Using an abundance of fully-worked examples, it shows step-by-step how to directly apply mathematics to physical chemistry problems. It features numerous problems, many multi-part, that use the symbolism found in standard physical chemistry books or involve actual physical chemistry equations. It offers full-chapter coverage of many important topics relegated to appendices in other books. It also provides a full chapter on numerical methods and computer programming showing step-by-step how to write programs to do numerical integration, and covers areas of advanced mathematics — e.g., differential equations and operator mechanics.

A practical resource for students who need to refresh themselves on the algebra and calculus required to understand thermodynamics, atomic and molecular structure, spectroscopy and statistical mechanics. Paper. DLC: Chemistry, Physical and theoretical - Mathematics.

Unique in its approach, content, and perspective, this book helps readers bridge the application gap between mathematics and chemistry and to acquire a fuller set of mathematical tools necessary for such applications. Using an abundance of fully-worked examples, it shows step-by-step how to directly apply mathematics to physical chemistry problems. It features numerous problems, many multi-part, that use the symbolism found in standard physical chemistry books or involve actual physical chemistry equations. It offers full-chapter coverage of many important topics relegated to appendices in other books. It also provides a full chapter on numerical methods and computer programming showing step-by-step how to write programs to do numerical integration, and covers areas of advanced mathematics — e.g., differential equations and operator mechanics.

A practical resource for students who need to refresh themselves on the algebra and calculus required to understand thermodynamics, atomic and molecular structure, spectroscopy and statistical mechanics. Paper. DLC: Chemistry, Physical and theoretical - Mathematics.

From the reviews:

"Friedrich Sauvigny's remarkable two-volume opus constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way. is a fine place to learn PDEs with the goal of doing serious work in the field. Friedrich Sauvigny's scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read." (Michael Berg, MathDL, February, 2007)

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.

In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume.

This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.

From the reviews:

"Friedrich Sauvigny's remarkable two-volume opus constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way. is a fine place to learn PDEs with the goal of doing serious work in the field. Friedrich Sauvigny's scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read." (Michael Berg, MathDL, February, 2007)

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.

In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume.

This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.

When Garland Publishing invited me several years ago to edit an encyclopedia of the Scientific Revolution, I welcomed the opportunity. Here was a means of providing a wider audience with the fruits of the most recent scholarly research on a fascinating complex of events that helped shape the modern world. The study of the origins of modern science in the sixteenth and seventeenth centuries has been a widely expanding field that, in recent years, has undergone significant changes in emphasis and outlook—as have studies in the history of science as a whole. Interest in the subject has grown enormously since World War II. In the mid-twentieth century, only a handful of universities offered courses in the history of science; at the century’s end, hundreds of universities did, and many of them offered doctoral programs in the field, There are now dozens of journals devoted to the history of science, and thousands of books and articles are published each year.

As the history of science has developed as an area of study, its course has exhibited patterns similar to those seen in the natural sciences. Both have undergone processes of fission and fusion, with research areas branching out into subfields, and two or more uniting to create new fields of research. The history of science, initially practiced by historians, philosophers, and retired scientists, now attracts social historians, sociologists, anthropologists, historians of religion and of technology, and literary historians. It has come to embrace biographies of scientists; the histories of scientific disciplines and their branches; scientific institutions; the analysis and development of broad concepts such as matter, motion, and life; the support of scientific activities; the philosophical foundations and implications of science; the relation of science to fields such as medicine and technology; and the social contexts within which scientific ideas and practices emerged.

When Garland Publishing invited me several years ago to edit an encyclopedia of the Scientific Revolution, I welcomed the opportunity. Here was a means of providing a wider audience with the fruits of the most recent scholarly research on a fascinating complex of events that helped shape the modern world. The study of the origins of modern science in the sixteenth and seventeenth centuries has been a widely expanding field that, in recent years, has undergone significant changes in emphasis and outlook—as have studies in the history of science as a whole. Interest in the subject has grown enormously since World War II. In the mid-twentieth century, only a handful of universities offered courses in the history of science; at the century’s end, hundreds of universities did, and many of them offered doctoral programs in the field, There are now dozens of journals devoted to the history of science, and thousands of books and articles are published each year.

As the history of science has developed as an area of study, its course has exhibited patterns similar to those seen in the natural sciences. Both have undergone processes of fission and fusion, with research areas branching out into subfields, and two or more uniting to create new fields of research. The history of science, initially practiced by historians, philosophers, and retired scientists, now attracts social historians, sociologists, anthropologists, historians of religion and of technology, and literary historians. It has come to embrace biographies of scientists; the histories of scientific disciplines and their branches; scientific institutions; the analysis and development of broad concepts such as matter, motion, and life; the support of scientific activities; the philosophical foundations and implications of science; the relation of science to fields such as medicine and technology; and the social contexts within which scientific ideas and practices emerged.

'Enterprise Information Portals and Knowledge Management' is the book on portals you've been waiting for. It is the only book that thoroughly considers, explores, and analyzes:

* The EIP orientation, outlook and evolution

* A new methodology for estimating EIP benefits and costs

* EIP and Enterprise Knowledge Portals (EKP) architecture

* The approaching role of software agents in EIPs and EKPs

* The current and future contribution of EIP and EKP solutions to Knowledge Management

* The role of XML in portal architecture

* A comprehensive, multi-dimensional, and forward-looking segmentation of EIP products accompanied by portal product case studies

* Where EIP sector companies are headed and the pathways they will follow to get there

About the Author

Member of the Board of Directors and the Executive Committee of the Knowledge Management Consortium International (KMCI); Director of the Knowledge and Innovation Management Certification Program (CKIM); Director, KMCI Research Center; Editor-in-Chief, 'Knowledge and Innovation: Journal of the KMCI'; KMCI Secretary/Governing Council KMCI Institute.

'Enterprise Information Portals and Knowledge Management' is the book on portals you've been waiting for. It is the only book that thoroughly considers, explores, and analyzes:

* The EIP orientation, outlook and evolution

* A new methodology for estimating EIP benefits and costs

* EIP and Enterprise Knowledge Portals (EKP) architecture

* The approaching role of software agents in EIPs and EKPs

* The current and future contribution of EIP and EKP solutions to Knowledge Management

* The role of XML in portal architecture

* A comprehensive, multi-dimensional, and forward-looking segmentation of EIP products accompanied by portal product case studies

* Where EIP sector companies are headed and the pathways they will follow to get there

About the Author

Member of the Board of Directors and the Executive Committee of the Knowledge Management Consortium International (KMCI); Director of the Knowledge and Innovation Management Certification Program (CKIM); Director, KMCI Research Center; Editor-in-Chief, 'Knowledge and Innovation: Journal of the KMCI'; KMCI Secretary/Governing Council KMCI Institute.

Whether or not one believes the hyperbolic claims about the Internet being the biggest thing since the invention of the wheel, the Internet is a medium with great consequences for social and economic life. Doing Internet Research is written to help people discern in what ways it has commanded the public imagination, and the methodological issues that arise when one tries to study and understand the social processes occurring within the Internet. Each contributor to the volume offers original responses in the search for, and critique of, methods with which to study the Internet and the social, political, economic, artistic, communicative phenomena occurring within and around it. This book provides encouragement for readers getting started with Internet research and also provides perspective on this new and ubiquitous communication medium.

About the Author

Steve Jones is professor and head of the Department of Communication at the University of Illinois at Chicago. He is author/editor of numerous books, including Doing Internet Research, The Encyclopedia of New Media, CyberSociety, and Virtual Culture. He is co-founder and president of the Association of Internet Researchers and co-editor of New Media & Society, an international journal of research on new media, technology, and culture. He also edits New Media Cultures, a series of books on culture and technology for Sage Publications, and Digital Formations, a series of books on new media for Peter Lang Publishers.

Whether or not one believes the hyperbolic claims about the Internet being the biggest thing since the invention of the wheel, the Internet is a medium with great consequences for social and economic life. Doing Internet Research is written to help people discern in what ways it has commanded the public imagination, and the methodological issues that arise when one tries to study and understand the social processes occurring within the Internet. Each contributor to the volume offers original responses in the search for, and critique of, methods with which to study the Internet and the social, political, economic, artistic, communicative phenomena occurring within and around it. This book provides encouragement for readers getting started with Internet research and also provides perspective on this new and ubiquitous communication medium.

About the Author

Steve Jones is professor and head of the Department of Communication at the University of Illinois at Chicago. He is author/editor of numerous books, including Doing Internet Research, The Encyclopedia of New Media, CyberSociety, and Virtual Culture. He is co-founder and president of the Association of Internet Researchers and co-editor of New Media & Society, an international journal of research on new media, technology, and culture. He also edits New Media Cultures, a series of books on culture and technology for Sage Publications, and Digital Formations, a series of books on new media for Peter Lang Publishers.