diff --git a/book/content/modelling/04_thermodynamics/01_fundamentals.ipynb b/book/content/modelling/04_thermodynamics/01_fundamentals.ipynb
index 4dabc41c..c818ec6a 100644
--- a/book/content/modelling/04_thermodynamics/01_fundamentals.ipynb
+++ b/book/content/modelling/04_thermodynamics/01_fundamentals.ipynb
@@ -32,7 +32,7 @@
    "source": [
     "# Fundamentals\n",
     "\n",
-    "Thermodynamics describes the macroskopic changes of a system of microscopic objects, i.e. particles. It is a statistical description for the e.g. sets of atoms or molecules in solids, liquids and gases. As an individual (quantuum-) mechanical description for large particle counts is not possible or even needed, thermodynamics reduces the description to a few (measurable) quantities in a defined system."
+    "Thermodynamics describes the macroscopic changes of a system of microscopic objects, i.e. particles. It is a statistical description for the e.g. sets of atoms or molecules in solids, liquids and gases. As an individual (quantuum-) mechanical description for large particle counts is not possible or even needed, thermodynamics reduces the description to a few (measurable) quantities in a defined system."
    ]
   },
   {
@@ -101,7 +101,7 @@
     "\n",
     "[Thermodynamical temperature](https://en.wikipedia.org/wiki/Thermodynamic_temperature) is an expression to characterise the random (thermal) motion of the particles. In general all interacting thermodynamical systems try to equal their temperatures by an energy flow, i.e. heat. This means, that if two systems with different temperatures are brought togehter, the induced heat flow will reduce the temperature of the warmer system and increase the temperature of the colder system. The heat flux is always from the higher to the lower temperature.\n",
     "\n",
-    "In a thermodynamical quilibrium, there are no heat or mass flows between interacting systems, i.e. the state quatities do not change in time. This leads to a thermal equilibrium, where the systems have the same temperature. A singel system is in thermal equilibrium if the temperature is homogenous and does not change with time. \n",
+    "In a thermodynamical equilibrium, there are no heat or mass flows between interacting systems, i.e. the state quatities do not change in time. This leads to a thermal equilibrium, where the systems have the same temperature. A single system is in thermal equilibrium if the temperature is homogenous and does not change with time. \n",
     "\n",
     "The SI-unit of temperature is Kelvin, where $\\mf 0~K$ is the absole lowest temperature and $\\mf 0~^\\circ C$ corresponds to $\\mf 273.15~K$. Temperature differences have the same values in Kelvin as in Celsius. \n",
     "\n",