Roman, Steven
Overview
Works: 
76
works in
526
publications in
6
languages and
15,942
library holdings

Genres: 
Textbooks

Roles: 
Author

Most widely held works by
Steven Roman
Access database design and programming by Steven Roman (
file
)
41
editions published
between
1997
and
2002
in
4
languages
and held by
2,153
libraries
worldwide
The third edition of Steven Roman's introduction to Access Database covers design and programming and is suitable for both beginners and programmers who wish to acquire a more indepth understanding of the subject
Advanced linear algebra by Steven Roman (
Book
)
63
editions published
between
1965
and
2011
in
3
languages
and held by
2,052
libraries
worldwide
"This is a graduate textbook covering an especially broad range of topics. The new edition has been thoroughly rewritten, both in the text and exercise sets, and contains new chapters on convexity and separation, positive solutions to linear systems, singular values and QR decompostion. Treatments of tensor products and the umbral calculus have been greatly expanded and discussions of determinants, complexification of a real vector space, Schur's lemma and Gersgorin disks have been added."Jacket
Win32 API programming with Visual Basic by Steven Roman (
file
)
9
editions published
in
2000
in
English
and held by
1,285
libraries
worldwide
Writing Excel macros by Steven Roman (
file
)
13
editions published
in
1999
in
English and German
and held by
1,275
libraries
worldwide
Field theory by Steven Roman (
Book
)
41
editions published
between
1995
and
2011
in
English and Undetermined
and held by
1,197
libraries
worldwide
0 Preliminaries ............................................................................. ..... 1<br>0.1 L attices.................................................................................. . . ....... ......<br>0.2 Groups .......................................................................................... 2<br>0.3 The Symmetric Group.......................................................... ... 10<br>0.4 Rings............................................................................................ 10<br>0.5 Integral Domains ............................................................. ..... ... 14<br>0.6 Unique Factorization Domains...................................... ...... .... 16<br>0.7 Principal Ideal Domains............................ ........................... ... 16<br>0.8 Euclidean Domains............................................ .................... .... 17<br>0.9 Tensor Products............................................... ...................... .... 17<br>E xercises......................................................................................... . . .. 19<br>Part IField Extensions<br>1 Polynomials.................................................................................. 23<br>1.1 Polynomials over a Ring................................................................ 23<br>1.2 Primitive Polynomials and Irreducibility..................................... 24<br>1.3 The Division Algorithm and Its Consequences............................. .... 27<br>1.4 Splitting Fields................................... ................ .........................32<br>1.5 The Minimal Polynomial ............................................................. .... 32<br>1.6 Multiple Roots................................... ........................................ 33<br>1.7 Testing for Irreducibility...................... ........... ........................ 35<br>Exercises............................................................................................. 38<br>2 Field Extensions....................................................................... .... 41<br>2.1 The Lattice of Subfields of a Field................................. .............. 41<br>2.2 Types of Field Extensions..................................... .............. .... 42<br>2.3 Finitely Generated Extensions................................................. ........ 46<br>2.4 Simple Extensions ............... ................. ................................. .. 47<br>2.5 Finite Extensions.............................................. ........................ 53<br>2.6 Algebraic Extensions......................................................... ..... 54<br>2.7 Algebraic Closures.............................. ................................ ..... 56<br>2.8 Embeddings and Their Extensions.......................................... ..... 58<br>2.9 Splitting Fields and Normal Extensions........................................... 63<br>Exercises.......... ................. ............................................................ 66<br>3 Embeddings and Separability..................................................... 73<br>3.1 Recap and a Useful Lemma........................................ .......... ..... 73<br>3.2 The Number of Extensions: Separable Degree............................. ....75<br>3.3 Separable Extensions............................ .....................................77<br>3.4 Perfect Fields.............................................................................. ..... 84<br>3.5 Pure Inseparability............................ .................................... ..... 85<br>*3.6 Separable and Purely Inseparable Closures.............................. ..... 88<br>Exercises............................................................ .......................... 91<br>4 Algebraic Independence................... ................... .........................93<br>4.1 Dependence Relations................................... ............... ............ .... 93<br>4.2 Algebraic Dependence......................... ........... ........................96<br>4.3 Transcendence Bases...................................................................... 100<br>"*4.4 Simple Transcendental Extensions........................................... ... 105<br>Exercises...................................... .................. ................................ 108<br>Part IIGalois Theory<br>5 Galois Theory I: An Historical Perspective............................ 113<br>5.1 The Quadratic Equation................................................................... 113<br>5.2 The Cubic and Quartic Equations........................................... ... 114<br>5.3 HigherDegree Equations................................................................. 116<br>5.4 Newton’s Contribution: Symmetric Polynomials............................ 117<br>5.5 Vandermonde..................................................................................119<br>5.6 Lagrange................................................. ........................ .......... 121<br>5 .7 G au ss........................................................ ... .............................. .. 124<br>5.8 B ack to Lagrange................................................................................ 128<br>5 .9 G alois............................................................................................... 130<br>5.10 A Very Brief Look at the Life of Galois..................................... 135<br>6 Galois Theory II: The Theory.................................................. 137<br>6.1 G alois C onnections.......................................................................... 137<br>6.2 The Galois Correspondence............................................ ........143<br>6.3 W ho’s C losed?................................................................................. 148<br>6.4 Normal Subgroups and Normal Extensions.................................. 154<br>6.5 More on Galois Groups........................................................ .. 159<br>6.6 Abelian and Cyclic Extensions.................................... ............ ... 164<br>*6.7 Linear Disjointness.................................................................... 165<br>Exercises......................................................................................... 168<br>7 Galois Theory III: The Galois Group of a Polynomial........... 173<br>7.1 The Galois Group of a Polynomial................................................. 173<br>7.2 Symmetric Polynomials.................................................................. 174<br>7.3 The Fundamental Theorem of Algebra........................................... 179<br>7.4 The Discriminant of a Polynomial............................... ....... .......180<br>7.5 The Galois Groups of Some SmallDegree Polynomials.................182<br>Exercises............................................................... ............................ 193<br>8 A Field Extension as a Vector Space.................................. ..... 197<br>8.1 The Norm and the Trace................... .................................................. 197<br>*8.2 Characterizing Bases.................................................................... 202<br>"*8.3 The Normal Basis Theorem.........................................................206<br>Exercises.............................................................. .................... ...........208<br>9 Finite Fields I: Basic Properties............................................... 211<br>9.1 Finite Fields Redux..........................................................................211<br>9.2 Finite Fields as Splitting Fields................................................. . 212<br>9.3 The Subfields of a Finite Field
Developing Visual Basic addins by Steven Roman (
file
)
10
editions published
in
1999
in
English
and held by
1,120
libraries
worldwide
Introduction to coding and information theory by Steven Roman (
Book
)
13
editions published
between
1996
and
1997
in
English
and held by
615
libraries
worldwide
This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete probability is developed in a preliminary chapter. After a preliminary chapter, there follows an introductory chapter on variablelength codes that culminates in Kraft's Theorem. Two chapters on Information Theory follow  the first on Huffman encoding and the second on the concept of the entropy of an information source, culminating in a discussion of Shannon's Noiseless Coding Theorem. The remaining four chapters cover the theory of errorcorrecting block codes. The first chapter covers communication channels, decision rules, nearest neighbor decoding, perfect codes, the main coding theory problem, the spherepacking, Singleton and Plotkin bounds, and a brief discussion of the Noisy Coding Theorem. There follows a chapter on linear codes that begins with a discussion of vector spaces over the field [actual symbol not reproducible]. The penultimate chapter is devoted to a study of the Hamming, Golay, and ReedMuller families of codes, along with some decimal codes and some codes obtained from Latin squares. The final chapter contains a brief introduction to cyclic codes
Lattices and ordered sets by Steven Roman (
file
)
17
editions published
between
2008
and
2009
in
English
and held by
533
libraries
worldwide
" ... A thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. Topic coverage includes: modular, semimodular and distributive lattices, boolean algebras, representation of distributive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixedpoint theorems, duality theory and more ..."
The umbral calculus by Steven Roman (
Book
)
18
editions published
between
1984
and
2005
in
English
and held by
526
libraries
worldwide
Coding and information theory by Steven Roman (
Book
)
17
editions published
between
1992
and
2011
in
3
languages
and held by
514
libraries
worldwide
VB.NET language in a nutshell : a desktop quick reference by Steven Roman (
file
)
35
editions published
between
2001
and
2002
in
English and Undetermined
and held by
491
libraries
worldwide
VB .NET Language in a Nutshell introduces the important aspects of the language and explains the .NET framework. An alphabetical reference covers the functions, statements, directives, objects, and object members that make up the VB .NET language. To ease the transition, each language element includes a "VB .NET/VB 6 Differences" section
Introduction to the mathematics of finance : arbitrage and option pricing by Steven Roman (
file
)
20
editions published
between
2012
and
2014
in
English
and held by
452
libraries
worldwide
The Mathematics of Finance has been a hot topic ever since the discovery of the BlackScholes 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 BlackScholes option pricing formulas as a limiting case of the CoxRossRubinstein 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 "needtoknow" basis. No background in finance is required, since the book contains a chapter on options
Fundamentals of group theory : an advanced approach by Steven Roman (
file
)
15
editions published
in
2012
in
English
and held by
448
libraries
worldwide
Introduction to the mathematics of finance : from risk management to options pricing by Steven Roman (
Book
)
14
editions published
between
2004
and
2012
in
English
and held by
401
libraries
worldwide
"This book is specifically written for upperdivision undergraduate or beginning graduate students in mathematics, finance, or economics. With the exception of an optional chapter on the Capital Asset Pricing Model, the book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the BlackScholes option pricing formula as a limiting case of the CoxRossRubinstein discrete model. The final chapter is devoted to American options."Jacket
Writing Excel macros with VBA by Steven Roman (
Book
)
20
editions published
between
2001
and
2007
in
English
and held by
317
libraries
worldwide
Updated for Excel 2002, this text offers Excel powerusers, as well as programmers who are unfamiliar with the Excel object model, with an introduction to writing Visual Basic for Applications (VBA) macros and programs for Excel
An introduction to discrete mathematics by Steven Roman (
Book
)
13
editions published
between
1986
and
2004
in
English
and held by
305
libraries
worldwide
Concepts of objectoriented programming with Visual Basic by Steven Roman (
Book
)
12
editions published
between
1997
and
1998
in
3
languages
and held by
257
libraries
worldwide
This book is about objectoriented 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 objectorientation, and to describe how to do objectoriented 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 others and then shows how each are implemented in a meaningful and useful application. Throughout the style is handson: plenty of code is given and discussed, including errorhandling. As a result, Visual Basic programmers and students will find this an invaluable introduction to this topic
An introduction to Catalan numbers by Steven Roman (
file
)
12
editions published
between
2015
and
2016
in
English
and held by
254
libraries
worldwide
This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Zn+1, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers. “Roman does an admirable job of providing an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice of topics in order to convey the flavor of Catalan combinatorics. [Readers] will acquire a good feeling for why so many mathematicians are enthralled by the remarkable ubiquity and elegance of Catalan numbers.”  From the foreword by Richard Stanley
Writing Word macros by Steven Roman (
Book
)
13
editions published
between
1999
and
2000
in
English and Czech
and held by
221
libraries
worldwide
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 popup 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, nononsense manner that is characteristic of Steven Roman's straightforward, practical approach. Instead of a slowpaced tutorial with a lot of handholding, 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
An introduction to the language of category theory by Steven Roman (
file
)
11
editions published
in
2017
in
English and German
and held by
195
libraries
worldwide
This textbook provides an introduction to elementary category theory, with the aim of making this subject more accessible. The goal of this book is to present the five major ideas of category theory: categories, functors, natural transformations, universality, and adjoints. These topics are developed in a stepbystep manner and are accompanied by numerous examples and exercises, most of which are drawn from abstract algebra. 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 homset categories. Chapter 2 is devoted to functors and natural transformations, concluding with Yoneda's lemma. Chapter 3 presents the concept of universality and Chapter 4 continues this discussion by exploring cones, limits, and the most common categorical constructions, products, equalizers, pullbacks and exponentials (along with their dual constructions). The chapter concludes with a theorem on the existence of limits. Finally, Chapter 5 covers adjoints and adjunctions. Graduate and advanced undergraduates students in mathematics, computer science, physics, or related fields who need to know or use category theory in their work will find An Introduction to Category Theory to be a concise and accessible resource. It will be particularly useful for those looking for a more elementary treatment of the topic before tackling more advanced texts
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Alternative Names
Roman, Steve. Roman, Steven Roman, Steven A. Steven Roman Amerikaans wiskundige Роман, Стивен استیون رومن
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