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Applied Mathematics for Database Professionals~tqw~ darksiderg
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Applied Mathematics for Database Professionals
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Type.................: Ebook
Part Size............: 2,951,201 bytes
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Posted by............: ~tqw~
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Release Notes
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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.
Table Of Contents
Foreword xv
About the Authors xvii
About the Technical Reviewers xix
Acknowledgments xxi
Preface xxiii
Introduction xxv
PART 1 The Mathematics
CHAPTER 1 Logic: Introduction 3
CHAPTER 2 Set Theory: Introduction 23
CHAPTER 3 Some More Logic 47
CHAPTER 4 Relations and Functions 67
PART 2 The Application
CHAPTER 5 Tables and Database States 91
CHAPTER 6 Tuple, Table, and Database Predicates 117
CHAPTER 7 Specifying Database Designs 139
CHAPTER 8 Specifying State Transition Constraints 185
CHAPTER 9 Data Retrieval 199
CHAPTER 10 Data Manipulation 221
PART 3 The Implementation
CHAPTER 11 Implementing Database Designs in Oracle 241
CHAPTER 12 Summary and Conclusions 305
PART 4 Appendixes
APPENDIX A Formal Definition of Example Database 311
APPENDIX B Symbols 333
APPENDIX C Bibliography 335
APPENDIX D Nulls and Three (or More) Valued Logic 337
APPENDIX E Answers to Selected Exercises 347
INDEX 367
Product Details
* ISBN: 1590597451
* ISBN-13: 9781590597453
* Format: Hardcover, 408pp
* Publisher: Apress L. P.
* Pub. Date: May 2007
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