Several important revisions are found in this second edition, however, and they include: (a) a description of set theory and topology that helps to comprehend the essence of the theory of analytic functions and continuous groups; (b) a deep connection between angular momenta and continuous groups; (c) development of the theory of exponential functions of matrices, which is useful to solve differential equations; and (d) updated content on lasers and their applications. This new edition thus provides a balanced selection of new and basic material for chemists and physicists.

This volume provides a discussion of these topics from leading international experts and will be a useful reference for researchers working in this field.

The ordering of the chapters reflects the natural flow of events in an evolving Universe: Philosophy of Science, the basis of the view that natural events have natural causes – Cosmology, the origin of everything from the Big Bang to the current state of the Universe – Geoscience, the physics and chemistry behind the evolution of the planet Earth from its birth to the present – Life Science, the molecules and mechanisms of life on Earth – Ecology, the interdependence of all components within the Ecosphere and the Universe – Information Content, emphasis on how words and phrases and framing of issues affect opinions, reliability of sources, and the limitations of knowledge.

This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists

Edited by pioneers in this exciting field, and featuring contributions from leading researchers, this book discusses the principles and applications of XFELs.

In the rapidly growing field of metabolomics, a comprehensive book describing the state of the art in the application of NMR spectroscopy will be a key title for practitioners. Providing a unique resource of background knowledge, resources, instrumental platforms and software, this book will introduce relevant theory to the researcher as well as serve as a practical guide detailing key experiments and data handling procedures. Information available on common sample types will be described together with reference to the latest web-based resources available

NMR techniques although well established for structural analyses of proteins and nucleic acids, cannot be simply applied to this complex class of biomolecules. Nonetheless, recently developed NMR techniques for carbohydrates open the door to conformational studies of a variety of sugar chains of biological interest. NMR studies on glycans will have significant impact on the development of vaccines, adjuvants, therapeutics, biomarkers and on biomass regeneration.