ISBN: 9780415471848
Publication Date: 01/06/2008
Pages: 188
Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state-of-the-art in these areas. Applications of Group Theory to Combinatorics will be useful in the study of graphs, maps and polytopes having maximal symmetry, and is aimed at researchers in the areas of group theory and combinatorics, graduate students in mathematics, and other specialists who use group theory and combinatorics.
Jack Koolen teaches at the Department of Mathematics at Pohang University of Science and Technology, Korea. His main research interests include the interaction of geometry, linear algebra and combinatorics, on which he published 60 papers.
Jin Ho Kwak is Professor at the Department of Mathematics at Pohang University of Science and Technology, Korea, where he is director of the Combinatorial and Computational Mathematics Center (Com2MaC). He works on combinatorial topology, mainly on covering enumeration related to Hurwitz problems and regular maps on surfaces, and published more than 100 papers in these areas.
Ming-Yao Xu is Professor in Department of Mathematics at Peking University, China. The focus in his research is in finite group theory and algebraic graph theory. Ming-Yao Xu published over 80 papers on these topics.
ISBN: 9781420059472
Publication Date: 19/02/2009
Pages: 352
Trim Size: 7 x 10
While multivariate statistical methods play a prominent role in chemometrics, they are often misunderstood or unknown among research and laboratory professionals. Using only a short segment of matrix algebra for the description of methods, Introduction to Multivariate Statistical Analysis in Chemometrics presents simple but thorough explanations of the most important multivariate statistical methods used for analyzing chemical data. This practical guide demonstrates methods using the R software package, considering also robust methods, providing software tools, fully worked out examples, and demo data from chemistry fields. Various graphical schemes and illustrations supplement the text.
Introduction. Multivariate Data. Linear Latent Variables. Principal Component Analysis. Multivariate Exploratory Data Analysis. Multivariate Calibration. Multivariate Classification. Preprocessing. Summary and Outlook.
Series: Mathematical and Physics for Science and Technology
ISBN: 9781420071184
Publication Date: 03/04/2009
Pages: 350
Trim Size: 6-1/8 x 9-1/4
With a focus on interdisciplinary areas, Complex Functions with Applications to Flows and Fields provides an overview of the mathematical modeling of physical phenomena and engineering processes. The author, considered one of Europes leading applied mathematicians, presents a unified treatment of complex functions. This volume emphasizes how similar methods can be applied to analogous problems in different areas with specific interpretations. Each chapter includes problems with solutions as well as illustrative examples and practical applications. Accessible for all readers, the text progresses from an undergraduate to a post-graduate level, offering deeper insight into key topics.
Complex Domain: Circuits and Equilibrium. Contours and Residues: Source Distributions. Infinite Sequences: Multipole Representation. Conformal Mapping: Airfoils and Channels. Elementary Transcendentals: Method of Images.
Series on Knots and Everything
This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950sE960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated singular homologies of fiber spaces.E
On Manifolds Homeomorphic to the 7-Sphere (J Milnor)
Groups of Homotopy Spheres 1 (M A Kervaire & J Milnor)
Homotopy Equivalent Smooth Manifolds (S P Novikov)
Rational Pontrjagin Classes, Homeomorphism and Homotopy Type of Smooth Manifolds (S P Novikov)
On Manifolds with Free Abelian Fundamental Group (S P Novikov)
Stable Homeomorphisms and the Annulus Conjecture (R Kirby)
Readership: Researchers in algebraic topology and history of topology.
300pp (approx.) Pub. date: Scheduled Summer 2009
ISBN 978-981-283-686-1