In mathematics nowadays ... because this would imply at first glance that the number of integers is equal to the number of even integers. That's the paradoxical property of infinity.

I’m teaching Edinburgh’s undergraduate Axiomatic Set Theory course, and the axioms we’re using are Lawvere’s Elementary Theory of the Category of Sets — with the twist that everything’s going to be ...

To divide fractions by a whole number, we divide the numerator by the whole number and the denominator stays the same. The calculation is \( \frac{4}{5}\) ÷ 2. We know that 4 ÷ 2 = 2 so we can ...

A mental method doesn’t mean that we are expected just to write down the answer! Many of the best mental methods come with ‘jottings’ to help us remember the ‘part answers’ we need as we ...

But could we ever get anything out of it? Number theory, the study of the properties of positive integers, is perhaps the purest form of mathematics. At first sight, it may seem far too abstract ...

Scientists have discovered that neurons in the human brain recognize the number zero as a numerical value, not just "nothing." ...

while arithmetic geometry deals with the more subtle study of solutions lying in a number field or its rings of integers. Both these topics are central to mathematics— and connect to subjects ranging ...

The Excel GCD function is a Math and Trigonometry function, and its purpose is to return the greatest common divisor of two or more integers. The greatest common divisor is the largest integer ...

As it turns out, prime numbers are incredibly important in math and even in fields as far-reaching as quantum physics and Internet security. They are often referred to as the building blocks of all ...

With James Leng, a graduate student at UCLA, they obtained a long-sought improvement on an estimate of how big sets of integers can get before they must contain sequences of evenly spaced numbers ...

quadratic fields and their integers. Math Modeling Problem solving through mathematical model building. Emphasis on applications of mathematics to the social, life and managerial sciences. Topics are ...

Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical ...