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Introduction to Linear Programming

Applications and Extensions

Stressing the use of several software packages based on simplex method variations, this text teaches linear programming's four phases through actual practice. It shows how to decide whether LP models should be applied, set up appropriate models, use software to solve them, and examine solutions to a

Linear programming (LP) encompasses several activities. LP includes
recognizing whether or not a problem that you wish to solve can be modeled
effectively as a linear problem. If a linear model is appropriate for the problem, LP
includes ...

Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition

The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

This self-contained text includes an accompanying electronic version and a package of useful commands.

A Classical Introduction to Modern Number Theory

This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

An Introduction to Discrete Mathematics and Its Applications

Equally well-suited to programmers and non-programmers alike, this book presents the topics of discrete mathematics with an emphasis on applications, problem-solving, and algorithms. The interplay between mathematics and computer science is the primary theme of the book. The book emphasizes development of relevant mathematical techniques, and motivates these techniques through numerous examples, applications, and exercises. Over 1,300 graded exercises, from routine to challenging, provide ample drill for students and enhance their understanding of concepts, algorithms, and proofs.

Equally well-suited to programmers and non-programmers alike, this book presents the topics of discrete mathematics with an emphasis on applications, problem-solving, and algorithms.

An Introduction to Discrete Mathematics

Intended for a one-term course in discrete mathematics, to prepare freshmen and sophomores for further work in computer science as well as mathematics. Sets, proof techniques, logic, combinatorics, and graph theory are covered in concise form. All topics are motivated by concrete examples, often emphasizing the interplay between computer science and mathematics. Examples also illustrate all definitions. Applications and references cover a wide variety of realistic situations. Coverage of mathematical induction includes the stroung form of induction, and new sections have been added on nonhomogeneous recurrence relations and the essentials of probability.

Intended for a one-term course in discrete mathematics, to prepare freshmen and sophomores for further work in computer science as well as mathematics.

An Introduction to Modern Arabic

This guide's focus is modern literary Arabic, particularly the style employed by newspapers. Each chapter begins with a text embodying the points to be discussed, and the carefully chosen vocabulary terms are those that arise most often in spoken and written Arabic. A vocabulary list appears in the appendix.

The beginning student of Arabic who has had no previous acquaintance with
Semitic languages, will be impressed by the difference between the structure of
Arabic and that of English or other Indo-European languages which he may know
.1 The most characteristic feature of the ... Although this system has a certain
convenience once one has mastered Arabic, it tends to be confusing to a
beginner and accordingly this book uses traditional English terminology for parts
of speech.

An Introduction to Early Modern English

An Introduction to Early Modern English, helps students of English and linguistics to place the language of the period 1500-1700 in its historical context as a language with a common core but also one which varies across time, regionally and socially, and according to register. The volume focuses on the structure of what contemporaries called the General Dialect--its spelling, vocabulary, grammar and punctuation--and on its dialectal origins. The book also discusses the language situation and linguistic anxieties in England at a time when Latin exerted a strong influence on the rising standard language.

2.1 Range of evidence Early Modern English provides the modern student with
much ampler textual and metalinguistic materials than any earlier period. For the
first time, we have contemporary analyses of the pronunciation, grammar and
vocabulary of English, and can read descriptions of its regional and social
varieties in teaching manuals and textbooks of different kinds. All this information
is valuable in that it gives the modern reader and researcher a window on the
period and its ...

Introduction to Late Modern English

Some twenty years ago it was widely believed that nothing much happened to the English language since the beginning of the eighteenth century. Recent research has shown that this is far from true, and this book offers an introduction to a period that forms the tail end of the standardisation process (codification and prescription), during which important social changes such as the Industrial Revolution are reflected in the language. Late Modern English is currently receiving a lot of scholarly attention, mainly as a result of new developments in sociohistorical linguistics and corpus linguistics. By drawing on such research the present book offers a much fuller account of the language of the period than was previously possible. It is designed for students and beginning scholars interested in Late Modern English. The volume includes: * a basis in recent research by which sociolinguistic models are applied to earlier stages of the language (1700-1900) * a focus on people as speakers (wherever possible) and writers of English* Research questions aimed at acquiring skills at working with important electronic research tools such as Eighteenth Century Collections Online (ECCO), the Oxford English Dictionary and the Oxford Dictionary of National Biography* Reference to electronically available texts and databases such as Martha Ballard's Diary, the Proceedings of the Old Bailey and Mrs Beeton's Book of Household Management.

(1797), A Vocabulary of such Words in the English Language as are of Dubious
or Unsettled Accentuation; in which the Pronunciation of Sheridan, Walker, and
other Orthoepists is Compared, London. Anon. (1826), The Vulgarities of Speech
Corrected, London. Bailey, Nathan (1721), Universal Etymological English
Dictionary, London. Baker, Robert (1770), Reflections on the English Language,
London. Batchelor, T. (1809), An Orthoëpical Analysis of the English Language,
London.