Front Matter -- Introduction. A Short History of Compositional Data Analysis / John Bacon-Shone -- Basic Concepts and Procedures / Juan Jose Egozcue, Vera Pawlowsky-Glahn -- Theory -- Statistical Modelling. The Principle of Working on Coordinates / Gloria Mateu-Figueras, Vera Pawlowsky-Glahn, Juan Jose Egozcue -- Dealing with Zeros / Josep Antoni Mart̕n-Ferǹndez, Javier Palarea-Albaladejo, Ricardo Antonio Olea -- Robust Statistical Analysis / Peter Filzmoser, Karel Hron -- Geostatistics for Compositions / Raimon Tolosana-Delgado, Karl Gerald van den Boogaart, Vera Pawlowsky-Glahn -- Compositional VARIMA Time Series / Carles Barcelo-Vidal, Lucia Aguilar, Josep Antoni Mart̕n-Ferǹndez -- Compositional Data and Correspondence Analysis / Michael Greenacre -- Use of Survey Weights for the Analysis of Compositional Data / Monique Graf -- Notes on the Scaled Dirichlet Distribution / Gianna Serafina Monti, Gloria Mateu-Figueras, Vera Pawlowsky-Glahn -- Theory -- Algebra and Calculus. Elements of Simplicial Linear Algebra and Geometry / Juan Jose Egozcue, Carles Barcelo-Vidal, Josep Antoni Mart̕n-Fernandez, Eusebi Jarauta-Bragulat, Jose Luis Diaz-Barrero, Gloria Mateu-Figueras -- Calculus of Simplex-Valued Functions / Juan Jose Egozcue, Eusebi Jarauta-Bragulat, Jose Luis Diaz-Barrero -- Compositional Differential Calculus on the Simplex / Carles Barcelo-Vidal, Josep Antoni Martin-Fernandez, Gloria Mateu-Figueras -- Applications. Proportions, Percentages, PPM: Do the Molecular Biosciences Treat Compositional Data Right? / David Lovell, Warren Muller, Jen Taylor, Alec Zwart, Chris Helliwell -- Hardy-Weinberg Equilibrium: A Nonparametric Compositional Approach / Jan Graffelman, Juan Jose Egozcue -- Compositional Analysis in Behavioural and Evolutionary Ecology / Michele Edoardo Raffaele Pierotti, Josep Antoni Martin-Fernandez -- Flying in Compositional Morphospaces: Evolution of Limb Proportions in Flying Vertebrates / Luis Azevedo Rodrigues, Josep Daunis-i-Estadella, Gloria Mateu-Figueras, Santiago Thio-Henestrosa -- Natural Laws Governing the Distribution of the Elements in Geochemistry: The Role of the Log-Ratio Approach / Antonella Buccianti -- Compositional Data Analysis in Planetology: The Surfaces of Mars and Mercury / Helmut Lammer, Peter Wurz, Josep Antoni Mart̕in Fernandez, Herbert Iwo Maria Lichtenegger -- Spectral Analysis of Compositional Data in Cyclostratigraphy / Eulogio Pardo-Ig︢zquiza, Javier Heredia -- Multivariate Geochemical Data Analysis in Physical Geography / Jennifer McKinley, Christopher David Lloyd -- Combining Isotopic and Compositional Data: A Discrimination of Regions Prone to Nitrate Pollution / Roger Puig, Raimon Tolosana-Delgado, Neus Otero, Albert Folch -- Applications in Economics / Tim Fry -- Software. Exploratory Analysis Using CoDaPack 3D / Santiago Thio-Henestrosa, Josep Daunis-i-Estadella -- robCompositions: An R-package for Robust Statistical Analysis of Compositional Data / Matthias Templ, Karel Hron, Peter Filzmoser -- Linear Models with Compositions in R / Raimon Tolosana-Delgado, Karl Gerald van den Boogaart -- Index.