Books about Rigorous from Amazon.com

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

Contents:

• The Need for Measure Theory
• Probability Triples
• Further Probabilistic Foundations
• Expected Values
• Inequalities and Convergence
• Distributions of Random Variables
• Stochastic Processes and Gambling Games
• Discrete Markov Chains
• More Probability Theorems
• Weak Convergence
• Characteristic Functions
• Decomposition of Probability Laws
• Conditional Probability and Expectation
• Martingales
• General Stochastic Processes

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The systems engineering method proposed in this book, which is based on Abstract State Machines (ASMs), guides the development of software and embedded hardware-software systems seamlessly from requirements capture to actual implementation and documentation. The method bridges the gap between the human understanding and formulation of real-world problems and the deployment of their algorithmic solutions by code-executing machines. Within a single conceptual framework it covers design, verification by reasoning techniques, and validation by simulation and testing. ASMs improve current industrial practice by using accurate high-level modeling and by linking the descriptions at the successive stages of system development in an organic and efficiently maintainable chain of rigorous and coherent system models at stepwise-refined abstraction levels. In several industrial projects the ASM method has proven its superiority compared to the popular UML methodology when designing complex parallel or dynamic systems.

This book combines the features of a textbook and a handbook: the reader will find detailed explanations, proofs, and exercises as well as numerous examples and real-world case studies. Researchers will find here the most comprehensive description of ASMs available today and professionals will use it as a "modeling handbook for the working software engineer." As a textbook it supports self-study or it can form the basis of a lecture course. The book is complemented by a CD containing the whole book text, additional course material, solutions to exercises, and additional examples. Even more information can be found on the related website maintained by the authors: http://www.di.unipi.it/AsmBook/

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Re-engineering or creating new business processes or organisational structures?

Need to identify IT solutions involving workflow, document management or Business Process Management systems?

Preparing process definitions intended for a Quality Management System?

If the answer is `yes' to any of these questions, then you need a copy of Martyn Ould's Business Process Management: a Rigorous Approach.

Businesses need to adapt constantly in order to remain competitive, but are often held back by static IT systems that aren't designed to change with the business. The challenge is to create systems that can. Business process management (BPM) is an important emerging technology that overcomes this problem. With the advent of the technology, new methods are required to exploit it effectively.

Riva is a pioneering method addressing the major emerging technology of Business Process Management that is business-focused. It is a method for designing, modelling, analysing and recording business processes. It is about modelling organisational behaviour in a way that is revealing and communicative, showing exactly what processes there are and how they interact. The architecture is derived from an understanding of what business the organisation is in, rather than its current structure or culture. Once the architecture is understood, it becomes apparent what is required from the IT systems supporting these processes.

The sorts of process models that Riva generates are designed to be of real practical use in a number of BPM situations, whether that's the reengineering or re-design of business processes and operations in a radical change or for improvement in an incremental change or somewhere in-between.

The methods described in Business Process Management: a Rigorous Approach work on a business level, but they are IT orientated, making it essential reading for both IT people involved in understanding business processes as a first step in developing requirement for IT and BPM solutions, and for business-focused people involved in requirements definition, or engaged in process improvement or process design work.

Business Process Management: a Rigorous Approach is an in-depth practical guide divided up into two parts. The first builds up the theory, with lots of examples from real life, while the second puts the theory into action, showing use in process discovery and definition, diagnosis and improvement, design, support and enactment.

What makes this book different?

* With its roots in business theory, rather than software development, the Riva method has gained a reputation for addressing the business aspects of processes in a way that is accessible by the everyday user, whilst giving the analyst powerful tools for process understanding, diagnosis and design.

* Riva is a pioneering method addressing the major emerging technology of Business Process Management.

* Riva addresses current industry concerns over the quality of support given by IT systems to a business and the recognised need to be able to represent and think about business processes in a rigorous fashion.

* Concern about business processes has become more prevalent in the wake of increased interest in BPR, TQM (Total Quality Management) ISO 9001, and enabling technologies such as ERP and workflow management.Business Process Management: a Rigorous Approach can help..
Price: $29.67 [Notify me when price goes down.]

This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. Though this approach can be applied in any classroom, it seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: They should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches allowing such an active construction - Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers..
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Reading Between the Lines: A Balanced Approach to Literacy is a handbook that will enhance your ability to become a more effective reader. It teaches how to read interactively, to monitor emotional responses to text, and to think "outside of the box" for a comprehensive interpretation of text. Reading Between the Lines also suggests creative ways to link reading and writing effectively to produce summaries, critiques, and syntheses..
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This digital document is an article from Focus on Learning Problems in Mathematics, published by Thomson Gale on June 22, 2005. The length of the article is 9628 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Rigorous mathematical thinking: mediated learning and psychological tools.
Author: James T. Kinard
Publication:Focus on Learning Problems in Mathematics (Magazine/Journal)
Date: June 22, 2005
Publisher: Thomson Gale
Volume: 27 Issue: 3 Page: 1(29)

Distributed by Thomson Gale.
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Word problems, or story problems, have been a part of mathematical education for the past 4,000 years. This book considers mathematical word problems as a genre, drawing on analytic theory from linguistics, literary criticism, and mathematics education. Raising the question, "what are word problems?," this book addresses it by "taking a walk" around the genre to see it from many points of view, including the linguistic, the historical, and the pedagogical. A Man Left Albuquerque Heading East sheds light on the nature of genre in education and inspires teachers to use word problems in new ways, with different intentions..
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