Small Antenna Design
Keeping mathematics to the absolute minimum, this guide describes the theory behind effective small antenna design while providing design techniques and examples for small antennas for different operating frequencies.
TABLE OF CONTENTS Small Antenna Design
Appendix E: What Every EE Student Should Know About Mathematics by the Senior Year
E.1 What Is Mathematics to an Engineer?
Mathematics is an extension to natural language by which we express abstractions, relations, and facts useful in practice. We use its concepts and notation to construct models of the physical world and apply logic to these models to discover their performance properties, just as logic should be applied to word descriptions of situations in other human activities. To communicate in engineering, people on both sides of the conversation must have a basic facility in the language. A person lacking a basic knowledge of the relevant language will spend too much time trying to translate (or give up) and barely or never get the real information intended.
The material in the following sections is a subset of what you should know about mathematics. It does represent a collection of things that you should know as well as the meaning of blue and operations you can do as simply as boiling water.
E.2 The Process Is as Important as the Result
How is the basic language facility acquired? Of course, one takes a number of courses to get started. Then, just like going to Germany to learn German, you take engineering classes in which certain parts of the total area of mathematics are used over and over again. You become proficient by working through problem developments in your texts and in classes. Try not to take anything for granted.
Derivations in engineering are not like proofs in mathematics because the concerns of the mathematicians and...
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