By Lex de Haan, Toon Koppelaars
Relational databases carry facts, correct? They certainly do, yet to think about a database as not anything greater than a box for facts is to overlook out at the profound strength that underlies relational expertise. a much more robust state of mind lies in relational applied sciences beginning within the mathematical disciplines of good judgment and set theory.
Databases comprise truths or propositions describing a few niche similar to a enterprise. these truths are geared up into units. Operations from good judgment and set concept will be utilized to latest units of truths to derive new units of truths. Applied arithmetic for Database Professionals introduces you to this manner of considering, to the good judgment and set thought that underlies relational database know-how. All this can sound summary now, yet there are profound advantages from the deeper realizing you'll achieve from this e-book. You'll research to
* turn into a greater database fashion designer. You'll make fewer blunders, and your designs might be extra versatile in keeping with altering information needs.
* Use the expressive strength of arithmetic to exactly specify designs and enterprise rules.
* converse successfully approximately layout utilizing the common language of mathematics.
* strengthen and write advanced SQL statements with confidence.
* keep away from pitfalls and difficulties from universal relational bugaboos similar to null values and replica rows.
The math that you simply research during this publication will positioned you above the extent of knowing of so much database pros this day. You'll larger comprehend the know-how and manage to observe it extra successfully. You'll keep away from info anomalies like redundancy and inconsistency. realizing whats during this publication will take your mastery of relational expertise to heights you could now not have concept possible.
This booklet is reviewed and recommended by way of C. J. Date and contours a foreword via the same.
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Extra resources for Applied Mathematics for Database Professionals
134 Tuple-in-Join Predicate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a hundred thirty five bankruptcy precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 routines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 ■CHAPTER 7 Specifying Database Designs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 Documenting Databases and Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . one hundred forty The Layers within a Database layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Top-Down View of a Database . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 type Schema for Constraints . . . . . . . . . . . . . . . . . . . . . . . . 142 Specifying the instance Database layout . . . . . . . . . . . . . . . . . . . . . . . . . . 143 Database Skeleton . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a hundred and forty four Characterizations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 Tuple Universes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 desk Universes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 Database Universe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 bankruptcy precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 workouts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 ■CHAPTER eight Specifying country Transition Constraints . . . . . . . . . . . . . . . . . . 185 extra info Integrity Predicates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 an easy instance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 nation Transition Predicates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 nation Transition Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . one hundred ninety nation Transition Universe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a hundred ninety finishing the instance Database layout . . . . . . . . . . . . . . . . . . . . 192 bankruptcy precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 routines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 ■CHAPTER nine info Retrieval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 officially Specifying Queries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 instance Queries Over DB_UEX. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 A comment on Negations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 216 bankruptcy precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218 routines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 xi 7451FM. qxd xii 5/17/07 10:41 AM web page xii ■CONTENTS ■CHAPTER 10 facts Manipulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 officially Specifying Transactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 instance Transactions Over DB_UEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 226 bankruptcy precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 236 workouts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 236 half three ■■■ The Implementation ■CHAPTER eleven enforcing Database Designs in Oracle . . . . . . . . . . . . . . . 241 creation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 242 Window-on-Data purposes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 Classifying Window-on-Data program Code . . . . . . . . . . . . . . . . 243 enforcing information Integrity Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 substitute Implementation thoughts . . . . . . . . . . . . . . . . . . . . . . . . 248 Order of choice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .