A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.
A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of...
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful...
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequali...
Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research
Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will app...
The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn.
These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide...
The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding...
Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as...
Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, populatio...
Devoted to Lebesgue spaces and their direct derived spaces, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement, as well as weak, Lorentz and recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. It also touches on basic harmonic analysis in the aforementioned spaces.
Devoted to Lebesgue spaces and their direct derived spaces, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement...
Thisbook gives a coherent account of the theory of Banach spaces and Banachlattices, using the spaces C_0(K) of continuous functions on a locallycompact space K as the main example. It gives severalnew constructions, some involving Boolean rings, of this space as well as many results on theStonean space of Boolean rings.
Thisbook gives a coherent account of the theory of Banach spaces and Banachlattices, using the spaces C_0(K) of continuous functions on a locallycomp...
This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible.
This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The main tool for desc...
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions, variational inequalities, best approximation theory, and convex feasibility. The book is accessible to a broad audience, and reaches out in particular to applied scientists and engineers, to whom these tools have become indispensable.
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition ...
Population dynamics is an important subject in mathematical biology. A cen- tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g., 165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily...
Population dynamics is an important subject in mathematical biology. A cen- tral problem is to study the long-term behavior of modeling systems. Most ...
