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This book provides a systematic treatment of properties common to the classifications of point sets. It unifies analogies between Baire category and Lebesgue measure by carrying general topological concepts to a higher level of abstraction. The book is intended for graduate mathematics students.

Describes the basic theory and multitude of applications in the study of differential subordinations.

Celebrating the work of Professor W Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring a collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana.

Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for various principal types of partial differential equations. It covers methods of linear and nonlinear analysis, and the theory of differential equations in Banach spaces.

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.

This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.

This book gives an account of two celebrated theorems of Gelfand and Naimark for commutative C*-algebras, their tangled history, generalizations and applications, in a form accessible to mathematicians working in various applied fields, and also to students of pure and applied mathematics.

Confronts the question of geometric processes of derivation, specifically the derivation of affine planes. This work provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.

Discusses the orderability of a group. This book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. It offers a fresh presentation of the theory of varieties of lattice-ordered groups.

Offers theoretical, algorithmic and computational guidelines for solving the frequently encountered linear-quadratic optimization problems. This textbook provides an overview of advances in control and systems theory, numerical line algebra, numerical optimization, scientific computations and software engineering.

This book presents a systematic, self-contained treatment of a new, more precise classification of Lipschitz mappings and its application in many topics of metric fixed point theory. The mean Lipschitz condition introduced by Goebel, Japón Pineda, and Sims is relatively easy to check and turns out to satisfy several principles: regulating the possible growth of the sequence of Lipschitz constants k(Tn), ensuring good estimates for k0(T) and k¿(T), and providing some new results in metric fixed point theory.

This book presents a systematic, self-contained treatment of a new, more precise classification of Lipschitz mappings and its application in many topics of metric fixed point theory. The mean Lipschitz condition introduced by Goebel, Japón Pineda, and Sims is relatively easy to check and turns out to satisfy several principles: regulating the possible growth of the sequence of Lipschitz constants k(Tn), ensuring good estimates for k0(T) and k¿(T), and providing some new results in metric fixed point theory.

Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra. Prepares students for further studies in the mathematical sciences. Includes self-test exercises.

Presents a theory of difference and functional equations with argument based on a generalization of the Riemann integral introduced by N E Norlund. This title discusses linear transformations that state conditions for convergence of Newton series and Norlund sums.

The ingratiating title notwithstanding, this is in no standard sense a text but a monograph, based largely upon the authors' research over a period of years, and intended to be read by sophisticated students of theoretical statistics. No exercises attach to the nine chapters, nor are they interrup

Chapter 1 poses 134 problems concerning real and complex numbers, chapter 2 poses 123 problems concerning sequences, and so it goes, until in chapter 9 one encounters 201 problems concerning functional analysis. The remainder of the book is given over to the presentation of hints, answers or referen

Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.

A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re

This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.