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Applied Mathematics for Database Professionals
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Relational databases hold data, right? They indeed do, but to think of a database
as nothing more than a container for data is to miss out on the profound power
that underlies relational technology. A far more powerful way of thinking lies
in relational technology’s foundation in the mathematical disciplines
of logic and set theory.
Databases contain truths or propositions describing some area of interest such
as a business. Those truths are organized into sets. Operations from logic and
set theory can be applied to existing sets of truths to derive new sets of truths.
Applied Mathematics for Database Professionals introduces you to this
way of thinking, to the logic and set theory that underlies relational database
technology. All this may sound abstract now, but there are profound benefits
from the deeper understanding you’ll gain from this book. You’ll
learn to
- Become a better database designer. You’ll make fewer mistakes, and
your designs will be more flexible in response to changing data needs.
- Use the expressive power of mathematics to precisely specify designs and
business rules.
- Communicate effectively about design using the universal language of mathematics.
- Develop and write complex SQL statements with confidence.
- Avoid pitfalls and problems from common relational bugaboos such as null
values and duplicate rows.
The math that you learn in this book will put you above the level of understanding
of most database professionals today. You’ll better understand the technology
and be able to apply it more effectively. You’ll avoid data anomalies
like redundancy and inconsistency. Understanding what’s in this book will
take your mastery of relational technology to heights you may not have thought
possible.
This book is reviewed and endorsed by C. J. Date and features a foreword by
the same.
About the Authors
Lex de Haan studied applied mathematics at the University of Technology
in Delft, the Netherlands. His experience with Oracle goes back to the mid-1980s,
version 4. He worked for Oracle Corporation from 1990 to 2004 in various education-related
roles, ending up in Server Technologies (product development) as senior curriculum
manager for the advanced DBA curriculum. In that role, he was involved in the
development of Oracle9i and Oracle Database 10g. In March 2004, he decided to
go independent and founded Natural Join B.V. (http://www.naturaljoin.nl). From
1999 until his passing in 2006, he was involved in the ISO SQL language standardization
process, as a member of the Dutch national body. He was also one of the founding
members of the OakTable network (http://www.oaktable.net).
Toon Koppelaars studied computer science at the University of Technology
in Eindhoven, the Netherlands. He is a long-time Oracle technology user, having
used the Oracle database and tools software since 1987, version 4. During his
career he has been involved in both application development (terminal/host in
the early days, GUI client/server later on, and J2EE nowadays), as well as database
administration. Within the data modeling area, the formal specification and
robust implementation of data integrity rules (a.k.a. business rules) is one
of his special interest areas. He is currently employed as an IT architect at
Centraal Boekhuis B.V., a well-known Oracle shop in the Netherlands. As such,
he is responsible for technical application architectures with special focus
on areas such as scalability, performance, and maintainability of application
code. He is also a frequent presenter at Oracle-related conferences. Recently
he has won both the Editor’s Choice Award and the Best Speaker Award of
the ODTUG-Now! conference.
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