29 questions linked to/from What are imaginary numbers?
2k views

### Why Do Imaginary Numbers Exist [duplicate]

I understand how to solve problems dealing with imaginary numbers, but I don't understand the reason why they exist and what they really do. Could somebody please explain to me what the point of them ...
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### A polynomial intersecting the x-axis while not intersecting the x-axis?(Complex Numbers) [duplicate]

I know three questions (that gained momentum) that have been posted asking a question which seems the same, but answers to none of them answer the following very well. Please jump to point 2 & 3 ...
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### The meaning of i [duplicate]

Can someone kind explain the mathematical quantity i to me (which is the square root of -1)? Just to be clear, I'm not actually trying to understand i per se, I'm just trying to understand how it can ...
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### what is the definition of numbers? [duplicate]

Well the question may seem obvious but I can't really find a proper answer to this. Mathematics all seem kind of difficult to understand so please help. I believe it is a quantity. Thanks in advance.i ...
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### Imaginary Numbers [duplicate]

Can someone help me by explaining what imaginary numbers actually are, please? I know that it is defined as $i = \sqrt{-1}$ and I can find umpteen sources telling me how to calculate with them but I ...
107 views

### Meaning of imaginary number [duplicate]

I'm a bit confused about the true meaning of imaginary number. It's my understanding that a complex number is a number of the form $a+ib$, where $a$ and $b$ are real numbers. A pure imaginary number ...
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### What are complex numbers, actually? [duplicate]

What are complex numbers, actually? You can prove $1=-1$ and a complex cosine function can have value greater than $1$ and so on, there are many unexpected results when we use complex numbers. So, ...
107 views

### Why is there root of -1? [duplicate]

Always have we heard that there isn't a root of a negative number. That's why we call the root of -1 an imaginary number. But why, why do we need it and how even did they discover this case? I would ...
60 views

### Square root of -1 [duplicate]

Hello stackexchange users! I am somewhat confused on $\sqrt{-1}$. I believe the answer should be no solution, or inconsistent, or at least something in that nature. Am I correct or am I most likely ...
84 views

### What is the mathematical nature of $i$? [duplicate]

It is well known that $i$ is unit imaginary part of any complex number, but many uses of $i$ show that has others mathematical properties, for example in integration area, if I want to compute ...
59k views

### Do complex numbers really exist?

Complex numbers involve the square root of negative one, and most non-mathematicians find it hard to accept that such a number is meaningful. In contrast, they feel that real numbers have an obvious ...
7k views

### How can I introduce complex numbers to precalculus students?

I teach a precalculus course almost every semester, and over these semesters I've found various things that work quite well. For example, when talking about polynomials and rational functions, in ...
3k views

### What's the precise meaning of imaginary number?

The same to the title,what's the precise meaning of imaginary number? And on the other hand,how can the imaginary number be reflected in Physics?