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Introduction to Real Analysis

This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment of the theoretical concepts of analysis. The book contains most of the topics covered in a text of this nature, but it also includes many topics not normally encountered in comparable texts. These include the Riemann-Stieltjes integral, the Lebesgue integral, Fourier series, the Weiestrass approximation theorem, and an introduction to normal linear spaces. The Real Number System; Sequence Of Real Numbers; Structure Of Point Sets; Limits And Continuity; Differentiation; The Riemann And Riemann-Stieltjes Integral; Series of Real Numbers; Sequences And Series Of Functions; Orthogonal Functions And Fourier Series; Lebesgue Measure And Integration; Logic and Proofs; Propositions and Connectives For all readers interested in real analysis.

This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level.

Implementing Discrete Mathematics

Combinatorics and Graphy Theory With Mathematica

This book concentrates on two distinct areas in discrete mathematics. The first section deals with combinatorics, loosely defined as the study of counting. We provide functions for generating combinatorial objects such as permutations, partitions, and Young tableaux, as well as for studying various aspects of these structures.The second section considers graph theory, which can be defined equally loosely as the study of binary relations. We consider a wide variety of graphs, provide functions to create them, and functions to show what special properties they have, Although graphs are combinatorial structures, understanding them requires pictures or embeddings. Thus we provide functions to create a variety of graph embeddings, so the same structure can be viewed in several different ways. Algorithmic graph theory is an important interface between mathematics and computer science, and so we study a variety of polynominal and exponential time problems.

This book concentrates on two distinct areas in discrete mathematics.

Preparing for the Calculus AP Exam with Calculus

Graphical, Numerical Algebraic

Presents a review of the topics covered in the AP Calculus exam, and offers eight practice exams with answers and explanations.

Presents a review of the topics covered in the AP Calculus exam, and offers eight practice exams with answers and explanations.

The Logical Basis for Computer Programming: Deductive reasoning

Mathematical logic; Theories with induction.

Mathematical logic; Theories with induction.

UML for Mere Mortals

Need-to-know information on the industry standard Unified Modelling Language for non-techies, all wrapped up in an easy-to-read introduction.

There's nothing theoretical about this book. It explains UML in the context of your real-world challenges. It's organized around the activities you'll need to perform. It focuses on the UML elements you'll find most useful.

Use Case Driven Object Modeling with UML

A Practical Approach

Software practitioners are faced with the frustrating reality that there is seldom enough time to properly model an impending project. Even with the widespread acceptance of the Unified Modeling Language (UML), proper modeling is often not completed because aggressive schedules make this practice difficult. This book presents a streamlined approach to UML modeling that includes a minimal but sufficient set of diagrams and techniques you can use to get from use cases to code quickly and efficiently. 'Use Case Driven Object Modeling with UML' provides practical guidance that shows developers how to produce UML models with minimal startup time, while maintaining traceability from user requirements through detailed design and coding. The authors draw upon their industry experience to present proven methods for driving the object modeling process forward from use cases in a straightforward manner.

For each of these topics, the book provides an overview, detailed discussion, top 10 mistakes, and a set of exercises for honing object modeling and design skills. Another unique aspect of this book is the three chapters on reviews.

Applying Use Case Driven Object Modeling with UML

An Anotated E-commerce Example

" Applying Use Case Driven Object Modeling with UML: An Annotated e-Commerce Example " is a practical, hands-on guide to putting use case methods to work in real-world situations. This workbook is a companion to "Use Case Driven Object Modeling with UML." It bridges the gap between the theory presented in the main book and the practical issues involved in the development of an Internet e-commerce application. Uniquely conceived as a workbook and featuring as a running example an e-commerce system for an online bookstore, "Applying Use Case Driven Object Modeling with UML" examines design in detail, demonstrating the most common design mistakes and the correct design solutions. The hands-on exercises allow you to detect, identify, and correct critical errors on your own, before reviewing the solutions provided in the book. Structured around the proven ICONIX Process, this workbook presents a streamlined approach to UML modeling designed to avoid analysis paralysis without skipping analysis and design. The book presents the four key phases of this minimalist approach to use case driven design--domain modeling, use case modeling, robustness analysis, and sequence diagramming--and for each topic provides an overview, detailed discussion, list of common mistakes, and a set of exercises for honing object modeling and design skills. The three chapters on reviews are also unique. The authors devote a chapter each to requirements review, preliminary design review, and critical design review. This focus on "designing quality in" by teaching how to review UML models fills a major gap in the published literature. Through examples, " Applying Use Case Driven Object Modeling with UML " shows you how to avoid more than seventy specific design errors, as illustrated by the "Top 10" error lists included as a handy key on the inside covers and within each chapter. With the information, examples, and exercises found here, you will develop the knowledge and skills you need to apply use case modeling more effectively to your next application. 0201730391B08022001

This workbook is a companion to Use Case Driven Object Modeling with UML. It bridges the gap between the theory presented in the main book and the practical issues involved in the development of an Internet e-commerce application.