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Applied Mathematics for Database Professionals (Expert's Voice) Hardcover – June 19, 2007

ISBN-13: 978-1590597453 ISBN-10: 1590597451 Edition: 2007th

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Product Details

  • Series: Expert's Voice
  • Hardcover: 379 pages
  • Publisher: Apress; 2007 edition (June 19, 2007)
  • Language: English
  • ISBN-10: 1590597451
  • ISBN-13: 978-1590597453
  • Product Dimensions: 7 x 0.9 x 10 inches
  • Shipping Weight: 2.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #1,484,813 in Books (See Top 100 in Books)

Editorial Reviews


From the reviews:

"It starts with the mathematical foundation of relational databases: concepts and their notation are introduced step-by-step, defined, and clearly explained. … this book is a very good introduction to the foundations of database design for an intermediate or advanced audience … ." (K. Balogh, ACM Computing Reviews, Vol. 49 (12), December, 2008)

About the Author

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 database administration 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. ( 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 (

Toon Koppelaars studied computer science at the University of Technology in Eindhoven, The Netherlands. He is a veteran Oracle technology user, having used the Oracle DBMS and tools since 1987. During his career he has been involved in both application development and database administration. His experience encompasses solutions involving terminals and hosts, two-tier client-server applications, and modern-day Java Enterprise Edition and web development. His interest areas include performance tuning (ensuring scalability, SQL-tuning), architecting applications in a DBMS-centric way, and logical/physical database design. Within the database design area, the formal specification and robust implementation of data integrity constraints (often referred to as business rules) is one of his special interest areas. Toon is a frequent presenter at Oracle-related conferences, a member of the Oaktable Network (, and a coauthor of the books Applied Mathematics for Database Professionals (Apress 2007) and Leerboek Oracle SQL (in Dutch, Academic Service 2013).

Customer Reviews

4.6 out of 5 stars
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I recently graduated from college with a B.S. in Computer Science.
Craig E. Shea
The narrow focus of this book is laying out the internal rules of the database's "thought process."
D. Reynolds
In any case should the reader take his time to work his way through the whole book.
Frank Kalis

Most Helpful Customer Reviews

52 of 56 people found the following review helpful By Mitchell Wheat on September 2, 2007
Format: Hardcover
Writing a book is no easy task. Completing a book when your co-author and friend passes away early in the process, must be a monumental task, this is what Toon Koppelaars achieved with this work.

I ordered this book expecting it to contain examples of using statistics, probability and data mining algorithms as applied to databases. In retrospect, I am not sure why I made that assumption. It is actually about formally specifying database designs using logic and set theory. This book is reviewed and endorsed by C. J. Date and features a foreword by him, which would be high praise for any book on the subject of databases.

It is split into 3 parts and 12 chapters as follows:
1. Logic: Introduction
2. Set Theory: Introduction
3. Some More Logic
4. Relations and Functions
5. Tables and Database States
6. Tuple, Table, and Database Predicates
7. Specifying Database Designs
8. Specifying State Transition Constraints
9. Data Retrieval
10. Data Manipulation
11. Implementing Database Designs in Oracle
12. Summary and Conclusions

If you've studied mathematics (or a tertiary subject with a mathematics element to it) you will most probably be familiar with the sections on set theory and logic. If you have not then they provide an as excellent introduction to these topics that you are likely to find anywhere.

This book makes the following claims and I have made my comments against each one:

"This book will help you":
* "Become a better database designer. You'll make fewer mistakes, and your designs will be more flexible in response to changing data needs." I agree 100% that having a good, if not intuitive, grasp of logic and basic set theory will help you to create better DB schemas.
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28 of 29 people found the following review helpful By D. Reynolds on September 3, 2007
Format: Hardcover
Finally, a book has come along that is not a simple restating of the manual. This is not a book that will tell you how to install a database or how to write RMAN scripts.

This book deconstructs all of what it is to be a database. This book is like a vivsection on the "brain" of an RDBMS (specifically, but not exclusively, Oracle).

Why this book succeeds is because it walks you, step-by-step, through the simple (yes simple) and well defined (yes, you don't really have to guess) logic that the database uses for EVERY request made of it.

It is a must-have for anyone serious about truly understanding why databases work the way they do. Have you sat in any of those meetings where people guessed or even voted on how they thought the database worked? It's so silly.

This book will not help you get certified with any database. Certifications are vendor specific and cover a lot more than the narrow focus of this book. So you'll be disappointed if you expect a broad database education.

The narrow focus of this book is laying out the internal rules of the database's "thought process." If you understand the power of that narrow focus, this book is for you. If not, keep it on your wish list and I'll bet you'll come back to it someday.

I have made this book mandatory reading for my Oracle and SQL Server DBA's (the only databases I currently have DBA's for).

While it is in no way a complete database education, I think no database education can be complete without it.
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13 of 13 people found the following review helpful By John Mc Elhinney on December 19, 2007
Format: Hardcover
This book from Lex de Haan (RIP) and Toon Koppelaars is a very welcome addition to those relatively few technical volumes to date that attempt to apply the rigours of a sound theoretical mathematical framework to the Relational Model, and the varied and various manifestations thereof.

This well written and well structured book takes the reader gently through rudimentary relations and sets in Part I, to the more complex database-related aspects in Part II, and finally culminating in Part III where the theoretical is applied to the practical - in this case through Oracle, but will equally apply to any of the major Database Management System (DBMS) vendors.

Although the reader is taken `gently' through the learning process, I believe that any experience in Formal System Specification would be a great help to the reader, similarly with any degree of knowledge of relations and sets. With no knowledge of either of these then the curve may not be so `gentle', but what can be assured, however, is that the exercises are well enough designed to bring the knowledge levels up appropriately as the book progresses.

Conversely, what probably isn't of great assistance is a high degree of proficiency with SQL, with its manifold attendant shortcomings and deficiencies. The difficulty here arises where the reader will tend to approach it logically from an SQL perspective (with the perhaps now instinctive mental workarounds), where this book approaches from a much more logically complete, theoretically sound, and neutral angle.
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