By Akihito Asano

''An creation to arithmetic for Economics introduces quantitative tips on how to scholars of economics and finance in a succinct and obtainable kind. The introductory nature of this textbook capability a heritage in economics isn't really crucial, because it goals to aid scholars savor that studying arithmetic is appropriate to their total figuring out of the topic. financial and fiscal functions are defined inRead more...

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**Additional resources for An introduction to mathematics for economics**

**Example text**

It is because the angle made by the horizontal axis and this line is 45 degrees. Since the graph is not to scale, the perceived angle is less than 45 degrees. 9)? It becomes f (x) = b. This says that the function takes a value b no matter what the value of x is. In terms of the graph, the straight line is parallel to the horizontal axis (the graph will coincide with the horizontal axis when b = 0). 5 f (x) = x. 6 f (x) = −4 and x = 3. what the value of y is. Hence, the graph of x = b is a straight line parallel to the vertical axis (when b = 0, the line coincides with the vertical axis).

In the following subsections (and in Chapter 3), we will introduce various types of function and describe them on diagrams. As a preparation, we will ﬁrst establish the coordinate plane and related ideas. Recall the real line we discussed previously. 2. The plane made by these two lines (just imagine placing a piece of paper on the two lines) is called the coordinate plane. The horizontal line is called the horizontal axis and the other one is called the vertical axis. The intersection of the two axes is called the origin.

For example, 9 can be written as 9 = 3 × 3 = 32 as well as 9 = (−3) × (−3) = (−3)2 . So the statement q 2 = 9 can mean either q = 3 or q = −3. In general, we write it as q = ±3. Second, if we consider a statement such as q 2 = −16, we realise that there exists no ‘real’ number q that satisﬁes the statement. Mathematicians get away with this problem by ‘imagining’ that such numbers exist, and we introduce these imaginary numbers in the next section. But before that, let me discuss a little about some conventions regarding the square root.