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Rainbow And Properly Colored Subgraphs

by Jie Hu e Xueliang Li

~~90,27€~~ 81,24€ 10% OFF

 Graphs are foundational to combinatorics, modeling relationships across disciplines, from communication networks and social systems to molecular biology. This book presents the first comprehensive treatment of extremal problems in edge-colored graphs, a rapidly developing area at the intersection of graph theory, combinatorics, and applied mathematics.Focusing on the existence of rainbow and properly colored subgraphs, the text explores classical and contemporary topics including anti-Ramsey theory, Gallai–Ramsey results, and rainbow Turán-type problems. It offers a unified framework for understanding how coloring constraints affect graph structure, while drawing connections to Latin squares, transversals, and real-world network models.Rich in theory and application, this accessible and in-depth resource serves as both a reference for researchers and a guide for graduate students, bringing together decades of literature into a coherent and insightful narrative.Contents: <ul><li>Preface</li><li>Introduction</li><li>Cycle</li><li>Path, Matching, Tree and Clique</li><li>Host Graphs with Certain Color Patterns</li><li>Anti-Ramsey Theory</li><li>Gallai-Ramsey Results and the Multicolor Erdős–Hajnal Conjecture</li><li>Rainbow Turán Problem</li><li>Uniformly Edge-Colored Graphs</li><li>Transversal in Graph System</li><li>Color-Bias Problem</li><li>Bibliography</li></ul>Readership: Graduate students and advanced undergraduates in mathematics and theoretical computer science, seeking a thorough and accessible introduction to edge-colored graph theory and its current research directions. Researchers and academics in graph theory, combinatorics, and discrete mathematics looking for a comprehensive reference that consolidates decades of developments in the field. Scientists and professionals in engineering, computer science, biology, physics, and chemistry who apply graph-theoretical methods to model communication networks, biological systems, and data structures.
ENGLISH

Introduction To Matrix Theory: With Applications To Business And Economics

by Molnar Sandor Molnar e Szidarovszky Ferenc Szidarovszky

76,85€ + 10% CARD

 In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.
ENGLISH

Problems In Probability

by Mills Terry M Mills

22,53€ + 10% CARD

 The notes and problems in this book have been designed to provide a basis for a series of lectures suitable for advanced undergraduate students on the subject of probability.
ENGLISH

Distribution Theory And Applications

by El-Kinani Abdellah El-Kinani e Oudadess Mohamed Oudadess

25,18€ + 10% CARD

 An introductory course to the theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter on the fundamental spaces (or test function spaces), and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.
ENGLISH

Theory And Examples Of Ordinary Differential Equations

by Lin Chin-Yuan Lin

35,78€ + 10% CARD

 Presents the theory of ordinary differential equations, with illustrative examples and interesting exercises. This book is suitable for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra.
ENGLISH

Topics On Stability And Periodicity In Abstract Differential Equations

by Liu James H Liu, N'Guerekata Gaston Mandata N'Guerekata e Nguyen Van Minh Nguyen

55,65€ + 10% CARD

 Presents methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. This book is suitable for graduate students and researchers in the related areas.
ENGLISH

Defects Of Properties In Mathematics: Quantitative Characterizations

by Ban Adrian I Ban e Gal Sorin G Gal

59,63€ + 10% CARD

 An introduction to a method of research which can be used in various fields of mathematics. It examines, in a systematic way, the quantitative characterizations of the deviation from a (given) property, called the "defect of a property", in areas such as topology; analysis; algebra; and geometry.
ENGLISH

Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems

by Tan Wai-Yuan Tan

62,28€ + 10% CARD

 This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems.One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems.As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop many state space models for many genetic problems, carcinogenesis and other biomedical problems.
ENGLISH

Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference

68,90€ + 10% CARD

 This text is centred on two minicourses on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis. The other contributions cover topics such as scattering theory, dynamical localization, quantum chaos, and more.
ENGLISH

Functional Equations And Inequalities: Solutions And Stability Results

by Kumar B V Senthil Kumar, Rassias John Michael Rassias, Ravi K Ravi e Thandapani E Thandapani

50,35€ + 10% CARD

 This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations.
ENGLISH

Markov Processes, Feller Semigroups And Evolution Equations

by Van Casteren Jan A Van Casteren

76,85€ + 10% CARD

 Provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. This book describes its generators and the link with stochastic differential equations in infinite dimensions.
ENGLISH

Advanced Inequalities

by Anastassiou George A Anastassiou

63,60€ + 10% CARD

 A monograph that presents univariate and multivariate classical analyses of advanced inequalities. It examines the advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities.
ENGLISH

Approximation By Complex Bernstein And Convolution Type Operators

by Gal Sorin G Gal

55,65€ + 10% CARD

 Intends to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals.
ENGLISH

Probabilistic Inequalities

by Anastassiou George A Anastassiou

58,30€ + 10% CARD

 Presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and covariance. This book deals with inequalities in information theory and the Csiszar's f-Divergence between probability measures.
ENGLISH

Discrete Approximation Theory

by Anastassiou George A Anastassiou e Kester Merve Kester

129,85€ + 10% CARD

 In this monograph, we present the authors'' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out of this book. Here our generalized discrete singular operators are of the following types: Picard, Gauss-Weierstrass and Poisson-Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate cases of these operators, which are not necessarily positive operators. The book''s results are expected to find applications in many areas of pure and applied mathematics, and statistics. As such, it is suitable for researchers, graduate students, and seminars of related subjects, and serves well as an invaluable resource for all science libraries.
ENGLISH

Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems (Second Edition)

by Tan Wai-Yuan Tan

72,88€ + 10% CARD

 Presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. This title illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, and more.
ENGLISH

Differential Sheaves And Connections: A Natural Approach To Physical Geometry - A Natural Approach To Physical Geometry

by Mallios Anastasios Mallios e Zafiris Elias Zafiris

50,35€ + 10% CARD

 This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves.
ENGLISH

Frontiers In Approximation Theory

by Anastassiou George A Anastassiou

46,38€ + 10% CARD

 This monograph presents the author''s work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss-Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries.
ENGLISH

Frontiers In Time Scales And Inequalities

by Anastassiou George A Anastassiou

46,38€ + 10% CARD

 This monograph contains the author''s work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Grüss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite-Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied.This book''s results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries.
ENGLISH

Exponential Function Approach To Parabolic Equations, An

by Lin Chin-Yuan Lin

33,13€ + 10% CARD

 This volume is on initial boundary value problems for parabolic partial differential equations of second order.
ENGLISH

Evolution Equations With A Complex Spatial Variable

by Gal Ciprian G Gal, Gal Sorin G Gal e Goldstein Jerome A Goldstein

37,10€ + 10% CARD

 This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrödinger and Korteweg-de Vries equations.The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions preserve some geometric properties of the boundary function, like the univalence, starlikeness, convexity and spirallikeness. The second method is that of complexifying the spatial variable directly in the corresponding evolution equation from the real case. More precisely, the real spatial variable is replaced by a complex spatial variable in the corresponding evolution equation and then analytic and non-analytic solutions are sought.For the first time in the book literature, we aim to give a comprehensive study of the most important evolution equations of real time variable and complex spatial variables. In some cases, potential physical interpretations are presented. The generality of the methods used allows the study of evolution equations of spatial variables in general domains of the complex plane.
ENGLISH

Problems In Probability (2nd Edition)

by Mills Terry M Mills

19,88€ + 10% CARD

 This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability.Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general - including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.

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