Steven Roman – författare

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included.About the first edition:" ...the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study."-J.N. Mordeson, Zentralblatt"The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study."- T. Albu, MathSciNet

For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem);

This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. This is a book on pure mathematics: I do not discuss the applications of lattice theory to physics, computer science or other disciplines. Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FßÐE?FÑ?GßE?ÐF?GÑ and so on? In lattice-theoretic terms, this is the number of elements in the relatively free modular lattice on three generators. Dedekind [15] answered this question (the answer is #)) and wrote two papers on the subject of lattice theory, but then the subject lay relatively dormant until Garrett Birkhoff, Oystein Ore and others picked it up in the 1930s. Since then, many noted mathematicians have contributed to the subject, including Garrett Birkhoff, Richard Dedekind, Israel Gelfand, George Grätzer, Aleksandr Kurosh, Anatoly Malcev, Oystein Ore, Gian-Carlo Rota, Alfred Tarski and Johnny von Neumann.

This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

This text deals with object-oriented programming and how it is implemented in Microsoft Visual Basic. Accordingly, the book has two separate, though intertwined, goals: to describe the general concepts of object-orientation, and to describe how to do object-oriented programming in Visual Basic. Readers are assumed to have a familiarity with Visual Basic and some rudimentary knowledge of programming. On this foundation, Steve Roman introduces the abstract concepts of object orientation, such as class, abstraction, encapsulation and then shows how each are implemented in a meaningful and useful application. Throughout the style is hands-on: plenty of code is given and discussed, including error-handling.

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

Written for those who are not computer or electrical engineers, this text is for those who want enough information to make intelligent buying or upgrading decisions, maximize their productivity, and become less dependant on others for help. It provides a thorough but concise description of the entire IBM-type PC, including its subsystems, components and peripherals, concentrating on PCs based on the Pentium and Pentium Pro class processors. There are easy experiments included.

This volume aims to take the reader behind the details of the Access interface, focusing on the general knowledge necessary for Access power users or developers to create effective database applications. When using software products with graphical interfaces, we frequently focus so much on the interface that we forget about the general concepts that allow us to understand and use the software effectively. In particular, this book focuses on three areas: database design - the book provides an overview of database design that carefully shows you how to normalize tables to eliminate redundancy without losing data; queries - the book examines multi-table queries (i.e.,various types of joins) and shows how to implement them indirectly by using the Access interface or directly by using Access SQL; and programming - the book examines the VBA integrated development environment (IDE); it then offers an introduction to Data Access Objects (DAO), ActiveX Data Objects (ADO), and ADO Extensions for Data Definition and Security (ADOX).These sections serve as a handy introduction and primer for basic database operations,such as modifying a table under program control, dynamically adding and deleting a record, and repositioning a record pointer. The concluding chapter focuses on common programming problems, such as computing running sums and comparing two sets.

Millions of programmers are learning Visual Basic .NET, Microsoft's newest version of the Visual Basic language for productively developing applications. In that spirit of productivity, you don't always have the time or the ability to go back to your shelf of reference books to find the bit of information you need. Your answer is the VB.NET Language Pocket Reference. Succinct and easy to use, this pocket guide is a quick reference for everyone making the transition from VB6 to VB.NET. With VB.NET, you're working with a very different framework and language than VB6; you'll welcome a reference book you can use easily and take anywhere. With concise detail and no fluff, this guide presents syntax and brief descriptions of each Visual Basic .NET language element.

Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.  This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included.About the first edition:" ...the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study."-J.N. Mordeson, Zentralblatt"The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study."- T. Albu, MathSciNet

For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.From the reviews of the second edition:“In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and expanded. … Overall, I found the book a very useful one. … It is a suitable choice as a graduate text or as a reference book.”Ali-Akbar Jafarian, ZentralblattMATH“This is a formidable volume, a compendium of linear algebra theory, classical and modern … . The development of the subject is elegant … . The proofs are neat … . The exercise sets are good, with occasional hints given for the solution of trickier problems. … It represents linear algebra and does so comprehensively.”Henry Ricardo, MathDL

Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FßÐE?FÑ?GßE?ÐF?GÑ and so on?

The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model.This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow much more smoothly. Several topics have been expanded such as the discussions of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewer chapters, and the material on the capital asset pricing model has been removed.The mathematics is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a "need-to-know" basis. No background in finance is required, since the book contains a chapter on options.

The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model.This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow much more smoothly. Several topics have been expanded such as the discussions of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewer chapters, and the material on the capital asset pricing model has been removed.The mathematics is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a "need-to-know" basis. No background in finance is required, since the book contains a chapter on options.

Many Microsoft Word users and VBA programmers don't realize the extensive opportunities that exist when Word's Object Model is accessed using Visual Basic for Applications (VBA), which replaced WordBasic in conjunction with the release of Word 97. By creating what is commonly called a "Word Macro" you can automate many features available in Word. Writing Word Macros (previously titled Learning Word Programming is the introduction to Word VBA that allows you to do these things and more, including: * Create custom pop-up menus * Automatically create tables from lists * Append one document to the end (or beginning) of another * Create a toggle switch to change a document from draft to final copy by adding or removing a watermark in the header * Generate reports using data from other applications Not intended to be an encyclopedia of Word programming, Writing Word Macros provides Word users, as well as programmers who are not familiar with the Word object model with a solid introduction to writing VBA macros and programs. In particular, the book focuses on: * The Visual Basic Editor and the Word VBA programming environment.Word features a complete and very powerful integrated development environment for writing, running, testing, and debugging VBA macros. * The VBA programming language (which is the same programming language used by Microsoft Excel, Access, and PowerPoint, as well as the retail editions of Visual Basic). * The Word object model. Word exposes nearly all of its functionality through its object model, which allows Word to be controlled programmatically using VBA. While the Word object model, with almost 200 objects, is the largest among the Office applications, readers need be familiar with only a handful of objects. Writing Word Macros focuses on these essential objects, but includes a discussion of a great many more objects as well.Writing Word Macros is written in a terse, no-nonsense manner that is characteristic of Steven Roman's straightforward, practical approach. Instead of a slow-paced tutorial with a lot of hand-holding, Roman offers the essential information about Word VBA that you must master to program effectively.This tutorial is reinforced by interesting and useful examples that solve practical programming problems, like generating tables of a particular format, managing shortcut keys, creating fax cover sheets, and reformatting documents. Writing Word Macros is the book you need to dive into the basics of Word VBA programming, enabling you to increase your power and productivity when using Microsoft Word.

This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics.

This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics.

The first chapter of the book introduces the definitions of category and functor and discusses diagrams,duality, initial and terminal objects, special types of morphisms, and some special types of categories,particularly comma categories and hom-set categories.