Bücher der Reihe Developments in Mathematics

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed.

This self-contained volume applies recent developments and classical results to study the classes of infinite-dimensional topological vector spaces in functional analysis.

The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities.

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces.

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.

Jacobi's elliptic function approach dates from his epic Fundamenta Nova of 1829. This title employs his combinatorial/elliptic function methods to derive many infinite families of explicit exact formulas involving either squares or triangular numbers, two of which generalize Jacobi's (1829) 4 and 8 squares identities to 4n2 or 4n(n+1) squares.

From September 13 to 17 in 1999, the First China-Japan Seminar on Number Theory was held in Beijing, China, which was organized by the Institute of Mathematics, Academia Sinica jointly with Department of Mathematics, Peking University.

With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research.This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic.

This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings.

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings.

With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research.This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic.

This work contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field.

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdoes, one of the greatest mathematicians of this century.

This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. This book begins with an introduction to inverse limits on [0,1] before moving to a general treatment of the subject. It examines special topics in continuum theory.

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.

Proceedings of the Fourth Isle of Thorns Conference

The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces.

Counting with Symmetric Functions

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation.

Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory.

The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; Thus, Number Theory and Its Applications leads the reader in many ways not only to the state of the art of number theory but also to its rich garden.

This is devoted to exploration of the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative.

In the spirit of Ehrenpreis's contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics.

Covering leading-edge research, and with a focus on new developments in non-linear functional analysis, this is a vital addition to the literature that details theory as well as applications, providing relevant academics with a trusty guide to the field.

In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers-one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar-which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.