Looking for definition of temperature from the textbook or even website is not so easy. I found clearer definition of it compare to the others explained on the The HyperPhysics Web site at Georgia State University, author R. Nave.
The temperature is defined from the kinetic theory so called the kinetic temperature. It is found also that the fact that temperature is not heat and what temperature scales are. One knows it’s related to heat and there is a difference between them.
Temperature: A convenient operational definition of temperature is that it is a measure of the average translational kinetic energy associated with the disordered microscopic motion of atoms and molecules.
Temperature is not directly proportional to internal energy since temperature measures only the kinetic energy part of the internal energy, so two objects with the same temperature do not in general have the same internal energy.
Internal Energy Example
When the sample of water and copper are both heated by 1°C, the addition to the kinetic energy is the same, since that is what temperature measures. But to achieve this increase for water, a much larger proportional energy must be added to the potential energy portion of the internal energy. So the total energy required to increase the temperature of the water is much larger, i.e., its specific heat is much larger.
The flow of heat is from a high temperature region toward a lower temperature region.
When a high temperature object is placed in contact with a low temperature object, then energy will flow from the high temperature object to the lower temperature object, and they will approach an equilibrium temperature.
Temperatures are measured in one of the three standard temperature scales (Celsius, Kelvin, and Fahrenheit).
The Celsius, Kelvin, and Fahrenheit temperature scales are shown in relation to the phase change temperatures of water. The Kelvin scale is called absolute temperature and the Kelvin is the SI unit for temperature.
The triple point of water is 273.16 K, and that is an international standard temperature point. The freezing point of water at one atmosphere pressure, 0.00°C, is 0.01K below that at 273.15 K. If you want to be really precise about it, the boiling point is 373.125 K, or 99.75 °C. But for general purposes, just 0 °C and 100 °C are precise enough.