Download or read book Several Complex Variables and Complex Geometry Part II written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graphs written by K. Thulasiraman and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.

Download or read book A Course on Rough Paths written by Peter K. Friz and published by Springer Nature. This book was released on 2020-05-27 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH

Download or read book Algebraic and Geometric Topology Part 1 written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Algebraic $K$- and $L$-theory, Surgery and its applications, Group actions.

Download or read book Collected Papers II written by Israel M. Gelfand and published by Springer Science & Business Media. This book was released on 1988-09-09 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: I.M. Gelfand (1913 - 2009), one of the world's leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including mathematical physics, algebra, topology, differential geometry and analysis. In this three-volume Collected Papers Gelfand presents a representative sample of his work. Gelfand's research led to the development of remarkable mathematical theories - most of which are now classics - in the field of Banach algebras, infinite-dimensional representations of Lie groups, the inverse Sturm-Liouville problem, cohomology of infinite-dimensional Lie algebras, integral geometry, generalized functions and general hypergeometric functions. The corresponding papers form the major part of the collection. Some articles on numerical methods and cybernetics as well as a few on biology are also included. A substantial number of the papers have been translated into English especially for this edition. The collection is rounded off by an extensive bibliography with almost 500 references. Gelfand's Collected Papers will be a great stimulus, especially for the younger generation, and will provide a strong incentive to researchers.

Download or read book Manual of the Metalloids written by James Apjohn and published by . This book was released on 1864 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Models and Computability written by S. Barry Cooper and published by Cambridge University Press. This book was released on 1999-06-17 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes providing a comprehensive guide to the current state of mathematical logic.

Download or read book Statistical Methods for Astronomical Data Analysis written by Asis Kumar Chattopadhyay and published by Springer. This book was released on 2014-10-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces “Astrostatistics” as a subject in its own right with rewarding examples, including work by the authors with galaxy and Gamma Ray Burst data to engage the reader. This includes a comprehensive blending of Astrophysics and Statistics. The first chapter’s coverage of preliminary concepts and terminologies for astronomical phenomenon will appeal to both Statistics and Astrophysics readers as helpful context. Statistics concepts covered in the book provide a methodological framework. A unique feature is the inclusion of different possible sources of astronomical data, as well as software packages for converting the raw data into appropriate forms for data analysis. Readers can then use the appropriate statistical packages for their particular data analysis needs. The ideas of statistical inference discussed in the book help readers determine how to apply statistical tests. The authors cover different applications of statistical techniques already developed or specifically introduced for astronomical problems, including regression techniques, along with their usefulness for data set problems related to size and dimension. Analysis of missing data is an important part of the book because of its significance for work with astronomical data. Both existing and new techniques related to dimension reduction and clustering are illustrated through examples. There is detailed coverage of applications useful for classification, discrimination, data mining and time series analysis. Later chapters explain simulation techniques useful for the development of physical models where it is difficult or impossible to collect data. Finally, coverage of the many R programs for techniques discussed makes this book a fantastic practical reference. Readers may apply what they learn directly to their data sets in addition to the data sets included by the authors.

Download or read book Differential Geometry written by R.W. Sharpe and published by Springer Science & Business Media. This book was released on 2000-11-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces généralisés" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.

Download or read book Principles of Knowledge Representation and Reasoning written by A. G. Cohn and published by Morgan Kaufmann. This book was released on 2000 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Several Complex Variables and Complex Geometry Part III written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Some Properties of Differentiable Varieties and Transformations written by Beniamino Segre and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the «Centro Internazionale Mate matico Estivo». The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter, Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo logy, etc. ); prominence is given throughout to the geometrical view point, and tedious calculations are as far as possible avoided. The exposition has been planned so that it can be followed without much difficulty even by readers who have no special knowledge of the subjects treated.

Download or read book Metabolic Networks Elementary Flux Modes and Polyhedral Cones written by Isaac Klapper and published by SIAM. This book was released on 2021-06-15 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mathematical analysis of the relationship between the cell biology idea of metabolic networks and the mathematical idea of polyhedral cones. Such cones can be used to describe the set of steady state admissible fluxes through metabolic networks, and consequently they have become important constructs in the field of microbiology. Fundamental objects called elementary flux modes (EFMs) can be described mathematically via convex cone concepts; the fundamental algorithm of this relationship is the Double Description method. While this method has an extended history in the field of computational geometry, this monograph addresses its relatively recent use in the context of cellular metabolism, providing an easy-to-read introduction to a central topic of mathematical systems biology. Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones addresses important topics in the mathematical description of metabolic activity that have not previously appeared in unified form and presents a careful study of the Double Description method in the context of metabolic analysis. It makes mathematical aspects of the material readily accessible to bioengineers and system biologists, and biological aspects readily accessible to mathematicians. This book is intended for readers from both mathematical and biological backgrounds, including mathematicians, engineers, and biologists interested in cell metabolism. It will also be helpful to mathematicians interested in applying computational geometry methods in computational biology as well as for systems biologists and modelers interested in the mathematical and algorithmic foundations of metabolic pathway analysis.

Download or read book Middle Atmosphere Program Ground based techniques written by and published by . This book was released on 1981 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermodynamics and Statistical Mechanics written by Robert J. Hardy and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics and Statistical Mechanics Thermodynamics and Statistical Mechanics An Integrated Approach This textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and/or beginning graduate students and is written on the principle that a good text should also be a good reference. The presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized. The text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.

Download or read book The Collected Mathematical Papers of James Joseph Sylvester written by James Joseph Sylvester and published by American Mathematical Soc.. This book was released on 2005 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: ``The longest paper in volume 1 is ``On the Theory of the Syzygetic Relations of two Rational Integral Functions, comprising an application to the Theory of Sturm's Functions'', and to this many of the shorter papers in the volume are contributory ... the volume contains also Sylvester's dialytic method of elimination, his Essay on Canonical Forms, and early investigations in the theory of Invariants. It also contains celebrated theorems as to Determinants andinvestigations as to the Transformation of Quadratic Forms and the recognition of the Invariant factors of a matrix.''

Download or read book Global Analysis Studies and Applications I written by Y.G. Borisovich and published by Springer. This book was released on 2006-12-08 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled "Algebraic questions of Analysis and Topology" and "Nonlinear Operators in Global Analysis". CONTENTS: YuE. Gliklikh: Stochastic analysis, groups of diffeomorphisms and Lagrangian description of viscous incompressible fluid.- A. Ya. Helemskii: From topological homology: algebras with different properties of homological triviality.- V.V. Lychagin, L.V. Zil'bergleit: Duality in stable Spencer cohomologies.- O.R. Musin: On some problems of computational geometry and topology.- V.E. Nazaikinskii, B. Yu. Sternin, V.E. Shatalov: Introduction to Maslov's operational method (non-commutative analysis and differential equations).- Yu. B. Rudyak: The problem of realization of homology classes from Poincare up to the present.- V.G. Zvyagin, N.M. Ratiner: Oriented degree of Fredholm maps of non-negativeindex and its applications to global bifurcation of solutions.- A.A. Bolibruch: Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem.- I.V. Bronstein, A. Ya. Kopanskii: Finitely smooth normal forms of vector fields in the vicinity of a rest point.- B.D. Gel'man: Generalized degree of multi-valued mappings.- G.N. Khimshiashvili: On Fredholmian aspects of linear transmission problems.- A.S. Mishchenko: Stationary solutions of nonlinear stochastic equations.- B. Yu. Sternin, V.E. Shatalov: Continuation of solutions to elliptic equations and localisation of singularities.- V.G. Zvyagin, V.T. Dmitrienko: Properness of nonlinear elliptic differential operators in H