Algebraic Models in Geometry

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Publisher : Oxford University Press
ISBN 13 : 0199206511
Total Pages : 483 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Algebraic Models in Geometry by : Yves Félix

Download or read book Algebraic Models in Geometry written by Yves Félix and published by Oxford University Press. This book was released on 2008 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.

Introduction to Algebra

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Publisher : Oxford University Press, USA
ISBN 13 : 0198569130
Total Pages : 353 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Introduction to Algebra by : Peter J. Cameron

Download or read book Introduction to Algebra written by Peter J. Cameron and published by Oxford University Press, USA. This book was released on 2008 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.

Regularity of Free Boundaries in Obstacle-Type Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821887947
Total Pages : 233 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Regularity of Free Boundaries in Obstacle-Type Problems by : Arshak Petrosyan

Download or read book Regularity of Free Boundaries in Obstacle-Type Problems written by Arshak Petrosyan and published by American Mathematical Soc.. This book was released on 2012 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The regularity theory of free boundaries flourished during the late 1970s and early 1980s and had a major impact in several areas of mathematics, mathematical physics, and industrial mathematics, as well as in applications. Since then the theory continued to evolve. Numerous new ideas, techniques, and methods have been developed, and challenging new problems in applications have arisen. The main intention of the authors of this book is to give a coherent introduction to the study of the regularity properties of free boundaries for a particular type of problems, known as obstacle-type problems. The emphasis is on the methods developed in the past two decades. The topics include optimal regularity, nondegeneracy, rescalings and blowups, classification of global solutions, several types of monotonicity formulas, Lipschitz, $C^1$, as well as higher regularity of the free boundary, structure of the singular set, touch of the free and fixed boundaries, and more. The book is based on lecture notes for the courses and mini-courses given by the authors at various locations and should be accessible to advanced graduate students and researchers in analysis and partial differential equations.

Operator Theory, Analysis and Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3764381353
Total Pages : 261 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory, Analysis and Mathematical Physics by : Jan Janas

Download or read book Operator Theory, Analysis and Mathematical Physics written by Jan Janas and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

Experimental Number Theory

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Publisher : Oxford University Press, USA
ISBN 13 : 0198528221
Total Pages : 231 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Experimental Number Theory by : Fernando Rodriguez Villegas

Download or read book Experimental Number Theory written by Fernando Rodriguez Villegas and published by Oxford University Press, USA. This book was released on 2007-05-24 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions.

An Introduction to Stochastic Filtering Theory

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Publisher : Oxford University Press
ISBN 13 : 0199219702
Total Pages : 285 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis An Introduction to Stochastic Filtering Theory by : Jie Xiong

Download or read book An Introduction to Stochastic Filtering Theory written by Jie Xiong and published by Oxford University Press. This book was released on 2008-04-17 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Filtering Theory uses probability tools to estimate unobservable stochastic processes that arise in many applied fields including communication, target-tracking, and mathematical finance.As a topic, Stochastic Filtering Theory has progressed rapidly in recent years. For example, the (branching) particle system representation of the optimal filter has been extensively studied to seek more effective numerical approximations of the optimal filter; the stability of the filter with "incorrect" initial state, as well as the long-term behavior of the optimal filter, has attracted the attention of many researchers; and although still in its infancy, the study of singular filteringmodels has yielded exciting results.In this text, Jie Xiong introduces the reader to the basics of Stochastic Filtering Theory before covering these key recent advances. The text is written in a style suitable for graduates in mathematics and engineering with a background in basic probability.

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education

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Publisher : Springer Science & Business Media
ISBN 13 : 940071131X
Total Pages : 424 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education by : Carmen Batanero

Download or read book Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education written by Carmen Batanero and published by Springer Science & Business Media. This book was released on 2011-07-31 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education results from the Joint ICMI/IASE Study Teaching Statistics in School Mathematics: Challenges for Teaching and Teacher Education. Oriented to analyse the teaching of statistics in school and to recommend improvements in the training of mathematics teachers to encourage success in preparing statistically literate students, the volume provides a picture of the current situation in both the teaching of school statistics and the pre-service education of mathematics teachers. A primary goal of Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education is to describe the essential elements of statistics, teacher’s professional knowledge and their learning experiences. Moreover, a research agenda that invites new research, while building from current knowledge, is developed. Recommendations about strategies and materials, available to train prospective teachers in university and in-service teachers who have not been adequately prepared, are also accessible to the reader.

Five-minute Mathematics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886243
Total Pages : 412 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Five-minute Mathematics by : Ehrhard Behrends

Download or read book Five-minute Mathematics written by Ehrhard Behrends and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of one hundred short essays gives readers a grand tour through contemporary and everyday mathematics. Behrends provides classics from his newspaper column in Die Welt, expands and illustrates them, and gives readers just enough information at a time to build mastery of concepts and applications. The topics range from pure mathematics to applied math, but all essays are suspenseful and fun to read. This is a very handy tool for teachers of all levels of mathematics (even elementary school children will be able to handle some of the topics), and Behrends assumes his readership has and interest but only a minimal background in mathematics so the essays are accessible but not dumbed-down.

Analysis and Topology

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Publisher : World Scientific
ISBN 13 : 9789810227616
Total Pages : 744 pages
Book Rating : 4.2/5 (276 download)

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Book Synopsis Analysis and Topology by : Simion Stoilow

Download or read book Analysis and Topology written by Simion Stoilow and published by World Scientific. This book was released on 1998 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.

Toric Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 147042214X
Total Pages : 534 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Toric Topology by : Victor M. Buchstaber

Download or read book Toric Topology written by Victor M. Buchstaber and published by American Mathematical Soc.. This book was released on 2015-07-15 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.

Orthogonal Polynomials and Special Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3540310622
Total Pages : 432 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Orthogonal Polynomials and Special Functions by : Francisco Marcellàn

Download or read book Orthogonal Polynomials and Special Functions written by Francisco Marcellàn and published by Springer Science & Business Media. This book was released on 2006-06-19 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey’s scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.

Asymptotic Geometric Analysis, Part I

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Publisher : American Mathematical Soc.
ISBN 13 : 1470421933
Total Pages : 473 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Asymptotic Geometric Analysis, Part I by : Shiri Artstein-Avidan

Download or read book Asymptotic Geometric Analysis, Part I written by Shiri Artstein-Avidan and published by American Mathematical Soc.. This book was released on 2015-06-18 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomenon", one of the most powerful tools of the theory, responsible for many counterintuitive results. A central theme in this book is the interaction of randomness and pattern. At first glance, life in high dimension seems to mean the existence of multiple "possibilities", so one may expect an increase in the diversity and complexity as dimension increases. However, the concentration of measure and effects caused by convexity show that this diversity is compensated and order and patterns are created for arbitrary convex bodies in the mixture caused by high dimensionality. The book is intended for graduate students and researchers who want to learn about this exciting subject. Among the topics covered in the book are convexity, concentration phenomena, covering numbers, Dvoretzky-type theorems, volume distribution in convex bodies, and more.

Trends in Applications of Mathematics to Mechanics

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Publisher : Springer
ISBN 13 : 331975940X
Total Pages : 374 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Trends in Applications of Mathematics to Mechanics by : Elisabetta Rocca

Download or read book Trends in Applications of Mathematics to Mechanics written by Elisabetta Rocca and published by Springer. This book was released on 2018-04-27 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers in the volume present novel results and identify possible future developments. The book is addressed to researchers involved in Mathematics and its applications to Mechanics.

Optimal Control and Differential Games

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821831342
Total Pages : 290 pages
Book Rating : 4.8/5 (313 download)

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Book Synopsis Optimal Control and Differential Games by : Lev Semenovich Pontri︠a︡gin

Download or read book Optimal Control and Differential Games written by Lev Semenovich Pontri︠a︡gin and published by American Mathematical Soc.. This book was released on 1990 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of 22 papers devoted to questions of optimal control theory and differential games, providing an overview of current trends of research in the area of control systems. Numerous optimization methods are covered as well as necessary and sufficient conditions for optimality."

General Relativity and the Einstein Equations

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Publisher : Oxford University Press
ISBN 13 : 0199230722
Total Pages : 812 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis General Relativity and the Einstein Equations by : Yvonne Choquet-Bruhat

Download or read book General Relativity and the Einstein Equations written by Yvonne Choquet-Bruhat and published by Oxford University Press. This book was released on 2009 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.

Combinatorial Algebraic Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Algebra, Geometry and Mathematical Physics

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Publisher : Springer
ISBN 13 : 3642553613
Total Pages : 680 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Algebra, Geometry and Mathematical Physics by : Abdenacer Makhlouf

Download or read book Algebra, Geometry and Mathematical Physics written by Abdenacer Makhlouf and published by Springer. This book was released on 2014-06-17 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.