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Calculus is one of the milestones of Western thought Building on ideas of Archimedes, Fermat, Newton, Leibniz, Cauchy, and many others, the calculus is arguably the cornerstone of modern science Any well-educated person should at least be acquainted with the ideas of calculus, and a scientifically literate person must know calculus solidly Calculus has two main aspects: differential calculus and integral calculus Differential calculus concerns itself with rates of change Various types of change, both mathematical and physical, are described by a mathematical quantity called the derivative Integral calculus is concerned with a generalized type of addition, or amalgamation, of quantities Many kinds of summation, both mathematical and physical, are described by a mathematical quantity called the integral What makes the subject of calculus truly powerful and seminal is the Fundamental Theorem of Calculus, which shows how an integral may be calculated by using the theory of the derivative The Fundamental Theorem enables a number of important conceptual breakthroughs and calculational techniques It makes the subject of differential equations possible (in the sense that it gives us ways to solve these equations) Calculus Demystified explains these ideas in a step-by-step and accessible manner The author, a renowned teacher and expositor, has a strong sense of the level of the students who will read this book, their backgrounds, and their strengths, and presents the material in accessible morsels that the student can study on his or her own Well-chosen examples and cognate exercises will reinforce the ideas being presented Frequent review, assessment, and application

This program obtains a Type object that describes StreamReader It then displays the full name, and determines if it is a class and whether it is abstract

Reflection is the feature that enables you to obtain information about a type The term reflection comes from the way the process works: A Type object mirrors the underlying type that it represents To obtain information, you ask the Type object questions, and it returns (reflects) the information associated with the type back to you Reflection is a powerful mechanism because it allows you to learn and use the capabilities of types that are known only at runtime Many of the classes that support reflection are part of the NET Reflection API, which is in the SystemReflection namespace Thus, you will normally include the following in programs that use reflection:

using SystemReflection;

SystemType is at the core of the reflection subsystem because it encapsulates a type It contains many properties and methods that you will use to obtain information about a type at runtime Type is derived from an abstract class called SystemReflectionMemberInfo MemberInfo defines the following read-only properties:

Let S be the set of all people and T be the set of all people Let f be the rule that assigns to each person his or her brother Is f a function

Property Type DeclaringType MemberTypes MemberType Description Obtains the type of the class or interface in which the member is declared Obtains the kind of the member This value indicates if the member is a field, method, property, event, or constructor, among others Obtains a value associated with a specific metadata Obtains a Module object that represents the module (an executable file) in which the reflected type resides The name of the member The type of the object being reflected

Notice that the return type of MemberType is MemberTypes MemberTypes is an enumeration that defines values that indicate the various member types Among others, these include MemberTypesConstructor MemberTypesMethod MemberTypesField MemberTypesEvent MemberTypesProperty Thus, the type of a member can be determined by checking MemberType For example, if MemberType equals MemberTypesMethod, then that member is a method

Con rm Your Text Is Clear and Professional 137 Grammar and Punctuation Update 137 Politically Correct Writing 141 Punctuate for Clarity 143 Exercise 20: Revise for Clarity 147 Using Proper Grammar Signals Professionalism 149 Exercise 21: Correct Common Grammar Errors 153 Use the Correct Word 155 Exercise 22: Practice Using Frequently Misused Words 158 Capitalize for Emphasis 159 Exercise 23: Capitalize Correctly 162 Exercise 24: What Did You Learn 163

Part I:

In this case f is not a function For many people have no brother (so the rule makes no sense for them) and many people have several brothers (so the rule is ambiguous for them)

MemberInfo includes two abstract methods: GetCustomAttributes( ) and IsDefined( ) These both relate to attributes The first obtains a list of the custom attributes associated with the invoking object The second determines if an attribute is defined for the invoking object The NET Framework Version 40 adds a method called GetCustomAttributesData( ), which returns information about custom attributes (Attributes are described later in this chapter) To the methods and properties defined by MemberInfo, Type adds a great many of its own For example, here are several commonly used methods defined by Type: