Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.
Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. Statistics of Extremes comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data. The last part of the book covers some interesting advanced topics, including time series, regression, multivariate and Bayesian modelling of extremes, the use of which has huge potential.
Ecometabolomics: Metabolic Fluxes versus Environmental Stoichiometry focuses on the interaction between plants—particularly plants that have vigorous secondary metabolites—and the environment. The book offers a comprehensive overview of the responses of the metabolome of organisms to biotic and abiotic environmental changes. It includes an introduction to metabolomics, summaries of metabolomic techniques and applications, studies of stress in plants, and insights into challenges. This is a must-have reference for plant biologists, plant biochemists, plant ecologists and phytochemists researching the interface between plants and the environment using metabolomics. - Provides an in-depth overview of the basics of the discipline, including non-targeted analysis and quantification of plant metabolites - Outlines the applications of various analytical techniques in comprehending the total metabolome of the organism - Covers both NMR and MS-based approaches
Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.
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