Fractional Graph Theory: A Rational Approach to the Theory by Edward R. Scheinerman

By Edward R. Scheinerman

"Both authors are first-class expositors-exceptionally so-and this makes for a pleasant learn and allows transparent figuring out of the mathematical concepts." -Joel Spencer Fractional Graph idea explores many of the ways that integer-valued graph thought techniques might be transformed to derive nonintegral values. in accordance with the authors' wide evaluation of the literature, it offers a unified remedy of an important leads to the learn of fractional graph suggestions. Professors Scheinerman and Ullman commence through constructing a common fractional thought of hypergraphs and stream directly to offer in-depth assurance of basic and complicated subject matters, together with fractional matching, fractional coloring, and fractional area coloring; fractional arboricity through matroid tools; and fractional isomorphism. the ultimate bankruptcy is dedicated to numerous extra concerns, corresponding to fractional topological graph idea, fractional cycle double covers, fractional domination, fractional intersection quantity, and fractional features of in part ordered units. Supplemented with many not easy workouts in each one bankruptcy in addition to an abundance of references and bibliographic fabric, Fractional Graph idea is a finished reference for researchers and a very good graduate-level textual content for college kids of graph conception and linear programming.

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Exploring Analytic Geometry with Mathematica by Donald L. Vossler

By Donald L. Vossler

The learn of two-dimensional analytic geometry has long gone out and in of favor a number of occasions during the last century, in spite of the fact that this vintage box of arithmetic has once more turn into well known end result of the starting to be energy of non-public desktops and the supply of strong mathematical software program platforms, resembling Mathematica, which may offer an
interactive atmosphere for learning the sphere. through combining the ability of Mathematica with an analytic geometry software program method known as Descarta2D, the writer has succeeded in meshing an historic box of analysis with glossy computational instruments, the outcome being an easy, but robust, method of learning analytic geometry. scholars, engineers and mathematicians alike who're attracted to analytic geometry can use this publication and software program for the examine, learn or simply undeniable delight in analytic geometry.

Mathematica offers an enticing surroundings for learning analytic geometry. Mathematica helps either numeric and symbolic computations that means that geometry difficulties may be solved for certain instances utilizing numbers, in addition to normal situations generating formulation. Mathematica additionally has sturdy amenities for generating graphical plots that are beneficial for visualizing the graphs of two-dimensional geometry.

* A vintage examine in analytic geometry, whole with in-line Mathematica dialogs illustrating each thought because it is introduced
* very good theoretical presentation
*Fully defined examples of all key concepts
* Interactive Mathematica notebooks for the complete book
* offers a whole computer-based surroundings for examine of analytic geometry
* All chapters and reference fabric are supplied on CD-ROM as well as being revealed within the book
* entire software program approach: Descarta2D
* A software program procedure, together with resource code, for the underlying laptop implementation, known as Descarta2D is provided
* half VII of the e-book is an inventory of the (30) Mathematica documents helping Descarta2D; the resource code can be provided on CD-ROM
* Explorations
* greater than a hundred and twenty demanding difficulties in analytic geometry are posed;Complete recommendations are supplied either as interactive Mathematica notebooks on CD-ROM and as revealed fabric within the book
* Mathematica and Descarta2D tricks extend the reader's wisdom and figuring out of Descarta2D and Mathematica
* Sortware built with Mathematica 3.0 and is appropriate with Mathematica 4.0
* precise reference manual
* whole documentation for Descarta2D
* absolutely built-in into the Mathematica aid Browser

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Finance, Economics, and Mathematics by Oldrich A. Vasicek

By Oldrich A. Vasicek

Foreword through Robert C. Merton

The compiled works of the guy at the back of the evolution of quantitative finance

Finance, Economics, and Mathematics is the whole Vasicek reference paintings, together with released and unpublished paintings and interviews with the guy himself. The identify Oldrich A. Vasicek is synonymous with state-of-the-art examine within the finance fields, and this publication comes directly from the resource to convey you the undiluted mom lode of quant knowledge from one of many founders of the sphere. From his early paintings in yield curve dynamics, to the mean-reverting short-rate version, to his suggestions on derivatives pricing, to his paintings on credits threat, to his latest learn at the economics of rates of interest, this publication represents the life's paintings of an chief. Going past the papers, you are going to additionally locate the extra own aspect inspirational as Vasicek talks concerning the teachers and execs who made lasting impressions and collaborated, debated, and finally helped spawn a few of his maximum pondering.

Oldrich Vasicek has received nearly each very important award and prize for his groundbreaking examine in quantitative finance. you've gotten his paintings for years; this publication places all of it in one quantity to offer you the definitive reference you are going to flip to time and again.

  • Explore Vasicek's insights on subject matters he helped create
  • Discover his learn and concepts that experience long gone unpublished—until now
  • Understand yield curves and the Vasicek version from the resource himself
  • Gain a reference choice of one of the most influential paintings in quantitative finance

Vasicek's learn is the root of 1 of an important concepts in finance. Quants worldwide were motivated via his principles, and his prestige as concept chief is cemented within the annals of finance background. Finance, Economics, and Mathematics is the definitive Vasicek reference each finance specialist wishes.

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Fundamentals of Algebraic Graph Transformation by H. Ehrig, K. Ehrig, U. Prange, G. Taentzer

By H. Ehrig, K. Ehrig, U. Prange, G. Taentzer

Raphs are usual to symbolize structural details within the kind of gadgets and connections among them. Graph transformation is the rule-based manipulation of graphs, an more and more vital proposal in machine technological know-how and comparable fields. this is often the 1st textbook remedy of the algebraic method of graph transformation, according to algebraic buildings and class theory.

Part I is an advent to the classical case of graph and typed graph transformation. partly II easy and complicated effects are first proven for an summary kind of alternative structures, so-called adhesive high-level alternative structures according to classification concept, and are then instantiated to numerous different types of graph and Petri web transformation structures. half III develops typed attributed graph transformation, a strategy of key relevance within the modeling of visible languages and in version transformation. half IV includes a sensible case examine on version transformation and a presentation of the AGG (attributed graph grammar) software surroundings. ultimately the appendix covers the fundamentals of class concept, signatures and algebras.

The publication addresses either study scientists and graduate scholars in computing device technology, arithmetic and engineering.

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Scientific Visualization: Uncertainty, Multifield, by Charles D. Hansen, Min Chen, Christopher R. Johnson, Arie E.

By Charles D. Hansen, Min Chen, Christopher R. Johnson, Arie E. Kaufman, Hans Hagen

Based at the seminar that came about in Dagstuhl, Germany in June 2011, this contributed quantity reviews the 4 very important themes in the clinical visualization box: uncertainty visualization, multifield visualization, biomedical visualization and scalable visualization.

• Uncertainty visualization bargains with doubtful facts from simulations or sampled facts, uncertainty as a result of mathematical techniques working at the facts, and uncertainty within the visible representation,
• Multifield visualization addresses the necessity to depict a number of facts at person destinations and the combo of a number of datasets,
• Biomedical is an unlimited box with choose subtopics addressed from scanning methodologies to structural purposes to organic applications,
• Scalability in clinical visualization is important as facts grows and computational units variety from hand held cellular units to exascale computational platforms.

Scientific Visualization might be necessary to practitioners of clinical visualization, scholars drawn to either evaluate and complex issues, and people attracted to understanding extra in regards to the visualization process.

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