#### MATEMATİK KİTAPLARI

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#### En Son Çıkan AMS Kitapları

 Introduction to 3-Manifolds Jennifer Schultens, University of California, Davis - AMS, 2014, approx. 293 pp., Hardcover, ISBN-13: 978-1-4704-1020-9, List: USD75, All AMS Members: USD60, GSM/151

 On the Spectra of Quantum Groups Milen Yakimov, Louisiana State University - AMS, 2013, 91 pp., Softcover, ISBN-13: 978-0-8218-9174-2, List: USD71, All AMS Members: USD56.80, MEMO/229/1078

 Cohomology for Quantum Groups via the Geometry of the Nullcone Christopher P. Bendel, University of Wisconsin-Stout, Daniel K. Nakano, University of Georgia, Brian J. Parshall, University of Virginia, and Cornelius Pillen, University of South Alabama - AMS, 2013, 93 pp., Softcover, ISBN-13: 978-0-8218-9175-9, List: USD71, All AMS Members: USD56.80, MEMO/229/1077

 Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations Jaeyoung Byeon, KAIST, and Kazunaga Tanaka, Waseda University - AMS, 2013, 89 pp., Softcover, ISBN-13: 978-0-8218-9163-6, List: USD71, All AMS Members: USD56.80, MEMO/229/1076

 Operator-Valued Measures, Dilations, and the Theory of Frames Deguang Han, University of Central Florida, David R. Larson, Texas A&M University, Bei Liu, Tianjin University of Technology, and Rui Liu, Nankai University - AMS, 2013, 84 pp., Softcover, ISBN-13: 978-0-8218-9172-8, List: USD65, All AMS Members: USD52, MEMO/229/1075

 Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces David Dos Santos Ferreira, Universite Paris 13, and Wolfgang Staubach, Uppsala University - AMS, 2013, 65 pp., Softcover, ISBN-13: 978-0-8218-9119-3, List: USD63, All AMS Members: USD50.40, MEMO/229/1074

 Really Big Numbers Richard Evan Schwartz, Brown University - AMS, 2014, 192 pp., Softcover, ISBN-13: 978-1-4704-1425-2, List: USD25, All AMS Members: USD20, MBK/84

 Pearls from a Lost City: The Lvov School of Mathematics Roman Duda, University of Wroclaw - Translated by Daniel Davies - AMS, 2014, approx. 216 pp., Hardcover, ISBN-13: 978-1-4704-1076-6, List: USD39, All AMS Members: USD31.20, HMATH/40

 Geometry of Isotropic Convex Bodies Silouanos Brazitikos and Apostolos Giannopoulos, University of Athens, Petros Valettas, Texas A & M University, and Beatrice-Helen Vritsiou, University of Athens - AMS, 2014, 594 pp., Hardcover, ISBN-13: 978-1-4704-1456-6, List: USD134, All AMS Members: USD107.20, SURV/196

 The Joys of Haar Measure Joe Diestel, Kent State University, and Angela Spalsbury, Youngstown State University - AMS, 2013, 320 pp., Hardcover, ISBN-13: 978-1-4704-0935-7, List: USD65, All AMS Members: USD52, GSM/150

 Topology and Field Theories Stephan Stolz, University of Notre Dame, Editor - AMS, 2014, 176 pp., Softcover, ISBN-13: 978-1-4704-1015-5, List: USD78, All AMS Members: USD62.40, CONM/613

 Group Theory, Combinatorics, and Computing Robert Fitzgerald Morse, University of Evansville, Daniela Nikolova-Popova, Florida Atlantic University, and Sarah Witherspoon, Texas A & M University, Editors - AMS, 2014, 187 pp., Softcover, ISBN-13: 978-0-8218-9435-4, List: USD78, All AMS Members: USD62.40, CONM/611

 Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction Mark Levi, Pennsylvania State University - AMS, 2014, 299 pp., Softcover, ISBN-13: 978-0-8218-9138-4, List: USD42, All AMS Members: USD33.60, STML/69

 Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids Hajime Koba, Waseda University - AMS, 2014, 127 pp., Softcover, ISBN-13: 978-0-8218-9133-9, List: USD79, All AMS Members: USD63.20, MEMO/228/1073

 Spectra of Symmetrized Shuffling Operators Victor Reiner, University of Minnesota, Franco Saliola, Universite du Quebec a Montreal, and Volkmar Welker, Philipps-Universitaet Marburg - AMS, 2014, 109 pp., Softcover, ISBN-13: 978-0-8218-9095-0, List: USD76, All AMS Members: USD60.80, MEMO/228/1072

 Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem Florin Diacu, University of Victoria - AMS, 2014, 80 pp., Softcover, ISBN-13: 978-0-8218-9136-0, List: USD71, All AMS Members: USD56.80, MEMO/228/1071

 Large Deviations for Additive Functionals of Markov Chains Alejandro D. de Acosta and Peter Ney - AMS, 2014, 108 pp., Softcover, ISBN-13: 978-0-8218-9089-9, List: USD76, All AMS Members: USD60.80, MEMO/228/1070

 Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions Ioan Bejenaru, University of California, San Diego, and Daniel Tataru, University of California, Berkeley - AMS, 2014, 108 pp., Softcover, ISBN-13: 978-0-8218-9215-2, List: USD76, All AMS Members: USD60.80, MEMO/228/1069

 Harmonic Analysis and Partial Differential Equations Patricio Cifuentes and Jose Garcia-Cuerva, Universidad Autonoma de Madrid, Gustavo Garrigos, Universidad de Murcia, Eugenio Hernandez, Universidad Autonoma de Madrid, Jose Maria Martell, Javier Parcet, and Keith M. Rogers, Consejo Superior de Investigaciones Cientificas, and Alberto Ruiz, Fernando Soria, and Ana Vargas, Universidad Autonoma de Madrid, Editors - AMS, 2014, 178 pp., Softcover, ISBN-13: 978-0-8218-9433-0, List: USD78, All AMS Members: USD62.40, CONM/612

 Perspectives in Representation Theory Pavel Etingof, Massachusetts Institute of Technology, Mikhail Khovanov, Columbia University, and Alistair Savage, University of Ottawa, Editors - AMS, 2014, 370 pp., Softcover, ISBN-13: 978-0-8218-9170-4, List: USD126, All AMS Members: USD100.80, CONM/610

 Ring Theory and Its Applications Dinh Van Huynh, S. K. Jain, and Sergio R. Lopez-Permouth, Ohio University, and S. Tariq Rizvi and Cosmin S. Roman, Ohio State University, Editors - AMS, 2014, 311 pp., Softcover, ISBN-13: 978-0-8218-8797-4, List: USD113, All AMS Members: USD90.40, CONM/609

 Classification and Identification of Lie Algebras Libor Snobl, Czech Technical University, and Pavel Winternitz, Centre de Recherches Mathematiques, and Universite de Montreal - AMS | CRM, 2014, 306 pp., Hardcover, ISBN-13: 978-0-8218-4355-0, List: USD124, All AMS Members: USD99.20, CRMM/33

 Hodge Theory, Complex Geometry, and Representation Theory Robert S. Doran, Greg Friedman, and Scott Nollet, Texas Christian University, Editors - AMS, 2014, approx. 318 pp., Softcover, ISBN-13: 978-0-8218-9415-6, List: USD113, All AMS Members: USD90.40, CONM/608

 Lecture Notes on Cluster Algebras Robert J. Marsh, University of Leeds - A publication of the European Mathematical Society, 2014, 122 pp., Softcover, ISBN-13: 978-3-03719-130-9, List: USD36, All AMS Members: USD28.80, EMSZLEC/19

 From Newton to Boltzmann: Hard Spheres and Short-Range Potentials Isabelle Gallagher, Universite Paris Diderot, Laure Saint-Raymond, Ecole Normale Superieure, and Benjamin Texier, Universite Paris Diderot - A publication of the European Mathematical Society, 2014, 150 pp., Softcover, ISBN-13: 978-3-03719-129-3, List: USD38, All AMS Members: USD30.40, EMSZLEC/18

 Capacity Theory with Local Rationality: The Strong Fekete-Szego Theorem on Curves Robert Rumely, University of Georgia - AMS, 2013, 437 pp., Hardcover, ISBN-13: 978-1-4704-0980-7, List: USD119, All AMS Members: USD95.20, SURV/193

 Lectures on Representations of Surface Groups Francois Labourie, Universite Paris Sud - A publication of the European Mathematical Society, 2013, 146 pp., Softcover, ISBN-13: 978-3-03719-127-9, List: USD38, All AMS Members: USD30.40, EMSZLEC/17

 Advances in Representation Theory of Algebras David J. Benson, University of Aberdeen, Henning Krause, University of Bielefeld, and Andrzej Skowronski, Nicolaus Copernicus University, Editors - A publication of the European Mathematical Society, 2013, 378 pp., Hardcover, ISBN-13: 978-3-03719-125-5, List: USD98, Institutional Member: USD78.40, All Individuals: USD78.40, EMSSCR/9

 Metric Spaces, Convexity and Nonpositive Curvature: Second Edition Athanase Papadopoulos, Universite de Strasbourg - A publication of the European Mathematical Society, 2013, 320 pp., Softcover, ISBN-13: 978-3-03719-132-3, List: USD58, All AMS Members: USD46.40, EMSILMTP/6.R

 European Congress of Mathematics: Krakow, July 2-7, 2012 Rafal Latala, University of Warsaw, Andrzei Rucinski, Adam Mickiewicz University, Pawel Strzelecki, University of Warsaw, Jacek Swiatkowski, University of Wroclaw, and Dariusz Wrzosek and Piotr Zakrzewski, University of Warsaw, Editors - A publication of the European Mathematical Society, 2013, 824 pp., Hardcover, ISBN-13: 978-3-03719-120-0, List: USD128, All AMS Members: USD102.40, EMSEMC/2012

 Microlocalization of Subanalytic Sheaves Luca Prelli, Universita degli Studi di Padova - A publication of the Societe Mathematique de France, 2013, 101 pp., Softcover, ISBN-13: 978-2-85629-768-1, List: USD45, All AMS Members: USD36, SMFMEM/135

 Transformations Birationnelles de Petit Degre Dominique Cerveau, Universite de Rennes 1, and Julie Deserti, Universite Paris 7 - A publication of the Societe Mathematique de France, 2013, 223 pp., Softcover, ISBN-13: 978-2-85629-770-4, List: USD108, All AMS Members: USD86.40, COSP/19

 Persistence of Stratifications of Normally Expanded Laminations Pierre Berger, Universite Paris 13 - A publication of the Societe Mathematique de France, 2013, 113 pp., Softcover, ISBN-13: 978-2-85629-767-4, List: USD45, All AMS Members: USD36, SMFMEM/134

 Probleme de Plateau, Equations Fuchsiennes et Probleme de Riemann-Hilbert Laura Desideri, Universite de Lille 1 - A publication of the Societe Mathematique de France, 2013, 116 pp., Softcover, ISBN-13: 978-2-85629-766-7, List: USD48, All AMS Members: USD38.40, SMFMEM/133

 One-Dimensional General Forest Fire Processes Xavier Bressaud, Universite Paul Sabatier, and Nicolas Fournier, Universite Paris-Est - A publication of the Societe Mathematique de France, 2013, 138 pp., Softcover, ISBN-13: 978-2-85629-765-0, List: USD48, All AMS Members: USD38.40, SMFMEM/132

 Perturbation de la Dynamique de Diffeomorphismes en Topologie $C^{1}$ Sylvain Crovisier, University of Paris-Sud - A publication of the Societe Mathematique de France, 2013, 164 pp., Softcover, ISBN-13: 978-2-85629-764-3, List: USD67, All AMS Members: USD53.60, AST/354

#### En Son Çıkan CRC Press (Taylor&Francis) Kitapları

 Sturm-Liouville Problems: Theory and Numerical Implementation Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementat

 Mathematical Principles of the Internet, Volume 2: Mathematics This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and th

 Graph Theory and Its Applications Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theor

 Exploring Linear Algebra: Labs and Projects with MATLAB® This text is meant to be a hands-on lab manual that can be used in class everyday to guide the exploration of the theory and applications of linear algebra. For the most part, labs can be used individually or in a sequence. Each lab consists of and explanation of material with integrated exercises.

 An Introduction to Financial Mathematics: Option Valuation Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. The book consists of ﬁfteen chapters, the ﬁrst ten of which develop option valuation techniques in discrete time, the last

 Handbook of Conformal Mappings and Applications The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain

 From Atoms to Higgs Bosons: Voyages in Quasi Space-Time For millennia, natural philosophers and scientists have been actively engaged in the reductionist quest to specify the fundamental building blocks of matter and discern the dynamics of physical reality. During the last one hundred years, physicists have intensified this search, probing the deep

 Mathematics for Engineers and Science Labs Using Maxima This book is designed to be a vital companion to math textbooks covering the topics of precalculus, calculus, linear algebra, differential equations, and probability and statistics. While these existing textbooks focus mainly on solving mathematic problems using the old paper-and-pencil method,

 Interest Rate Modeling: Theory and Practice, Second Edition Containing many results that are new, or which exist only in recent research articles, Interest Rate Modeling: Theory and Practice, 2nd Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with

 Combinatorial Inference in Geometric Data Analysis Geometric Data Analysis designates the approach of Multivariate Statistics that conceptualizes the set of observations as a Euclidean cloud of points. Combinatorial Inference in Geometric Data Analysis gives an overview of multidimensional statistical inference methods applicable to clouds of

 Automata and Computability: A Programmer's Perspective Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and computation. The author uses illustrations, engaging examples, and historical remarks to make the material interesting and relevant for students. It

 Computational Complexity of Counting and Sampling Computational Complexity of Counting and Sampling　provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the

 Revival: Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings (1994) This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and

 Revival: Genetic Algorithms for Pattern Recognition (1986) Solving pattern recognition problems involves an enormous amount of computational effort. By applying genetic algorithms - a computational method based on the way chromosomes in DNA recombine - these problems are more efficiently and more accurately solved. Genetic Algorithms for Pattern

 Revival: Modern Analysis (1997) Modern Analysis provides coverage of real and abstract analysis, offering a sensible introduction to functional analysis as well as a thorough discussion of measure theory, Lebesgue integration, and related topics. This significant study clearly and distinctively presents the teaching and research

 Revival: Nonlinear Analysis of Structures (1997) Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles

 Revival: Practical Inverse Analysis in Engineering (1997) Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers

 Entrepreneurial Complexity: Methods and Applications Entrepreneurial Complexity: Methods and Applications deals with theoretical and practical results of Entrepreneurial Sciences and Management (ESM), emphasising qualitative and quantitative methods. ESM has been a modern and exciting research field in which methods from various disciplines have been

 Advanced Functional Analysis Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced

 Introduction to Probability, Second Edition Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google

 Measure and Probability This book covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to complex measures,

 Revival: Fractals in Soil Science (1998): Advances in Soil Science The application of fractals and fractal geometry in soil science has become increasingly important over the last few years. This self-contained and timely book was designed to provide detailed and comprehensive information on the current status of the application of fractal geometry in soil science

 Revival: Numerical Solution Of Convection-Diffusion Problems (1996) Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be

 Hex: The Full Story Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history. hex was discovered twice, in 1942 by Piet Hein and again in 1949 by John F. nash. How did this happen? Who created the puzzle for

 Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations. Beginning with the

 Sequential Models of Mathematical Physics The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks

 Dynamical Systems: Theories and Applications Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical

 MATLAB Handbook with Applications to Mathematics, Science, Engineering, and Finance The purpose of this handbook is to allow users to learn and master the mathematics software package MATLAB®, as well as to serve as a quick reference to some of the most used instructions in the package. A unique feature of this handbook is that it can be used by the novice and by experienced users

 Generalized Trigonometric and Hyperbolic Functions Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine

 Computer Graphics Through OpenGL®: From Theory to Experiments COMPREHENSIVE COVERAGE OF SHADERS AND THE PROGRAMMABLE PIPELINE From geometric primitives to animation to 3D modeling to lighting, shading and texturing, Computer Graphics Through OpenGL®: From Theory to Experiments is a comprehensive introduction to computer graphics which uses an active learning

 The Copenhagen Conspiracy At the close of the nineteenth century, we stood on the threshold of one of the greatest periods of science, in which the entire world and understanding of science would be shaken to the core and greatly modified. This explosion of knowledge led ultimately to that same information revolution that

 Fundamentals of Linear Algebra Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the

 Business Process Modeling, Simulation and Design Business Process Modeling, Simulation and Design, Third Edition provides students with a comprehensive coverage of a range of analytical tools used to model, analyze, understand, and ultimately design business processes. The new edition of this very successful textbook includes a wide range of

 Differential Equations in Engineering and Mechanics: 2 volume set -- Theory and Applications These two volumes give comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems. They cover a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order

 Moving Finite Element Method: Fundamentals and Applications in Chemical Engineering This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by

 Computer Algebra: Concepts and Techniques The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are

 Smart Computing Applications in Crowdfunding The book focuses on smart computing for crowdfunding usage, looking at the crowdfunding landscape, e.g., reward-, donation-, equity-, P2P-based and the crowdfunding ecosystem, e.g., regulator, asker, backer, investor, and operator. The increased complexity of fund raising scenario, driven by the

 Advanced Topics in Mathematical Analysis Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance

 Analysis on Function Spaces of Musielak-Orlicz Type Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up

 Elementary Differential Equations: Applications, Models, and Computing Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect

 Mathematical Principles of the Internet, Two Volume Set This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama

 Mathematical Principles of the Internet, Volume 1: Engineering This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and

 Mathematical Principles of the Internet, Volume 2: Mathematics This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and

 Novel Methods for Solving Linear and Nonlinear Integral Equations This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency.

 Nonlinear Control and Filtering for Stochastic Networked Systems In this book, control and filtering problems for several classes of stochastic networked systems are discussed. In each chapter, the stability, robustness, reliability, consensus performance, and/or disturbance attenuation levels are investigated within a unified theoretical framework. The aim is

 Applications of Differential Equations in Engineering and Mechanics This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad

 Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains Mankind now faces even more challenging environment- and health-related problems than ever before. Readily available transportation systems facilitate the swift spread of diseases as large populations migrate from one part of the world to another. Studies on the spread of the communicable diseases