Hardback
December 4, 2019 Forthcoming
Textbook - 503 Pages - 295 B/W Illustrations
ISBN 9781138343863 - CAT# K394507
Series: Textbooks in Mathematics
With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways.
The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings.
The book can be used for a first course in graph theory as well as a graduate course
The primary topic in the book is graph coloring
The book begins with an introduction to graph theory so assumes no previous course
The authors are the most widely-published team on graph theory
Many new examples and exercises enhance the new edition
The Origin of Graph Colorings
Introduction to Graphs
Trees and Connectivity
Eulerian and Hamiltonian Graphs
Matchings and Factorization
Graph Embeddings
Introduction to Vertex Colorings
Bounds for the Chromatic Number
Coloring Graphs on Surfaces
Restricted Vertex Colorings
Edge Colorings
Ramsey Theory
Monochromatic Ramsey Theory
Color Connection
Distance and Colorings
Domination and Colorings
Induced Colorings
The Four Color Theorem Revisited
Hardback
November 26, 2019 Forthcoming
Reference - 320 Pages - 6 B/W Illustrations
ISBN 9780367354817 - CAT# 324882
Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras.
Leibniz algebra is generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are derivations. They first appeared in papers of A.M Blokh in the 1960s, under the name D-algebras, emphasizing their close relationship with derivations. The theory of D-algebras did not get as fulsome an examination as it deserve immediately after its introduction. Later the same algebras were introduced by Jean-Louis Loday in 1993, who called them Leibniz algebras due to the identity they satisfy. The main motivation for the introduction of Leibniz algebras was to study the periodicity phenomena in algebraic K-theory.
Nowadays, the theory of Leibniz algebras is one of actively developing areas of modern algebra. Along with (co)homological, structural and classification results on Leibniz algebras, some papers with various applications of the Leibniz algebras also now appear. However, the focus of this book is mainly on the classification problems of Leibniz algebras. Particularly, the authors propose a method of classification of a subclass of Leibniz algebras based on algebraic invariants. The method is applicable in the Lie algebras case as well.
Provides a systematic exposition of the theory of Leibniz algebras and recent results on Leibniz algebras
Suitable for final year bachelor students, master's degree students and PhD students who are going to do research in the structural theory of finite-dimensional algebras, particularly, Lie and Leibniz algebras
Covers important and more general parts of the structural theory of Leibniz algebras that are not addressed in other texts
Chapter 1: Introduction
Chapter 2: Structure of Leibniz Algebra
Chapter 3: Classification Problems in Low Dimensions
Chapter 4: On some Classes of Leibniz Algebra
Chapter 5: Isomorphism Criteria for Filiform Leibniz Algebra
Chapter 6: Classification of Filiform Leibniz Algebra in Low Dimensions
1st ed. 2019, VIII, 166 p. 6 illus.
Printed book
Hardcover
Series: Springer Proceedings in Mathematics & Statistics
Contains latest results by experts in the field
Features a variety of topics including sumsets, partitions, and Ramsey theory
Surveys state-of-the-art open problems in combinatorial and additive number
theory and related areas of mathematics
Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT)
workshops at the City University of New York, these proceedings offer 17 peer-reviewed and
edited papers on current topics in number theory. Held every year since 2003, the workshop
series surveys state-of-the-art open problems in combinatorial and additive number theory and
related parts of mathematics. Topics featured in this volume include sumsets, partitions, convex
polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry,
and applications of logic and nonstandard analysis to number theory. Each contribution is
dedicated to a specific topic that reflects the latest results by experts in the field. This selection
of articles will be of relevance to both researchers and graduate students interested in current
progress in number theory
1st ed. 2019, XIX, 177 p. 27 illus., 25
illus. in color.
Printed book
Hardcover
Series: Forum for Interdisciplinary Mathematics
Focuses on major applications of recently developed wavelet tools in solving
differential equations in engineering
Explains how to solve nonlinear differential equations by using wavelet
methods like Haar, Legendre, and Chebyshev wavelets
Compares the power of the manageable wavelet methods with other
numerical methods
The book focuses on how to implement discrete wavelet transform methods in order to solve
problems of reaction?diffusion equations and fractional-order differential equations that arise
when modelling real physical phenomena. It explores the analytical and numerical
approximate solutions obtained by wavelet methods for both classical and fractional-order
differential equations; provides comprehensive information on the conceptual basis of wavelet
theory and its applications; and strikes a sensible balance between mathematical rigour and
the practical applications of wavelet theory. The book is divided into 11 chapters, the first three
of which are devoted to the mathematical foundations and basics of wavelet theory. The
remaining chapters provide wavelet-based numerical methods for linear, nonlinear, and
fractional reaction?diffusion problems. Given its scope and format, the book is ideally suited as
a text for undergraduate and graduate students of mathematics and engineering.
Approx. 800 p. 170 illus., 100 illus. in color.
Printed book
Hardcover
Series: Graduate Texts in Mathematics
Expands on the second edition by including over 40 new lemmas, theorems,
and corollaries, as well as a new section dedicated to arithmetic hyperbolic groups
Offers a highly readable and self-contained exposition of the theoretical
foundations of hyperbolic manifolds
Provides readers with over 70 new exercises and features figures in color throughout
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended
to be used both as a textbook and as a reference. This third edition greatly expands upon the
second with an abundance of additional content, including a section dedicated to arithmetic
hyperbolic groups. Over 40 new lemmas, theorems, and corollaries feature, along with more
than 70 additional exercises. Color adds a new dimension to figures throughout.The book is
divided into three parts. The first part is concerned with hyperbolic geometry and discrete
groups. The main results are the characterization of hyperbolic reflection groups and Euclidean
crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The
main results are Mostow’s rigidity theorem and the determination of the global geometry of
hyperbolic manifolds of finite volume. The third part integrates the first two parts in a
development of the theory of hyperbolic orbifolds. The main result is Poincare’s fundamental
polyhedron theorem. The exposition is at the level of a second year graduate student with
particular emphasis placed on readability and completeness of argument. After reading this
book, the reader will have the necessary background to study the current research on
hyperbolic manifolds. From reviews of the second edition: Designed to be useful as both
textbook and a reference, this book renders a real service to the mathematical community by
putting together the tools and prerequisites needed to enter the territory of Thurston’s
formidable theory of hyperbolic 3-manifolds […] Every chapter is followed by historical notes,
with attributions to the relevant literature, both of the originators of the idea present in the
chapter and of modern presentation thereof.Victor V. Pambuccian, Zentralblatt MATH, Vol.
1st ed. 2019, IX, 171 p. 39 illus., 29 illus.
Printed book
Hardcover
Series: Springer Proceedings in Mathematics & Statistics
Highlights novel methodological and computational contributions on Bayesian statistics
Presents successful applications of Bayesian statistics in neuroscience,
astrostatistics and climate change
Provides new findings and research questions to stimulate future advances in Bayesian statistics
This book presents a selection of peer-reviewed contributions to the fourth Bayesian Young
Statisticians Meeting, BAYSM 2018, held at the University of Warwick on 2-3 July 2018. The
meeting provided a valuable opportunity for young researchers, MSc students, PhD students,
and postdocs interested in Bayesian statistics to connect with the broader Bayesian community.
The proceedings offer cutting-edge papers on a wide range of topics in Bayesian statistics,
identify important challenges and investigate promising methodological approaches, while also
assessing current methods and stimulating applications. The book is intended for a broad
audience of statisticians, and demonstrates how theoretical, methodological, and computational
aspects are often combined in the Bayesian framework to successfully tackle complex
problems