Complex Numbers
... We can look at the field from last example as another approach to complex numbers. We identify complex numbers with points of the Cartesian plane (or vectors anchored at the origin) and we call this “geometrical interpretation of complex numbers”. A point z of the plane can be identified by its Cart ...
... We can look at the field from last example as another approach to complex numbers. We identify complex numbers with points of the Cartesian plane (or vectors anchored at the origin) and we call this “geometrical interpretation of complex numbers”. A point z of the plane can be identified by its Cart ...
Problems for Chapter 1
... Give an example of two irrational numbers whose product is rational. Is it true that for every irrational number x there exists another irrational number y such that xy is rational? Prove that if p denotes a prime real number, then p must be irrational. How do you know that the decimal representatio ...
... Give an example of two irrational numbers whose product is rational. Is it true that for every irrational number x there exists another irrational number y such that xy is rational? Prove that if p denotes a prime real number, then p must be irrational. How do you know that the decimal representatio ...
Fields besides the Real Numbers Math 130 Linear Algebra
... Example 2 (The field of rational numbers, Q). Another example is the field of rational numbers. A rational number is the quotient of two integers a/b where the denominator is not 0. The set of all rational numbers is denoted Q. We’re familiar with the fact that the sum, difference, product, and quot ...
... Example 2 (The field of rational numbers, Q). Another example is the field of rational numbers. A rational number is the quotient of two integers a/b where the denominator is not 0. The set of all rational numbers is denoted Q. We’re familiar with the fact that the sum, difference, product, and quot ...
