Pressure sensor, with - a solid metal sensor body, with a front area and a base following on from said front area, -- wherein the front area has a larger cross-sectional area than the base, and - wherein the front area has an exterior edge which can be clamped with a fastening unit for the purpose of mounting the pressure sensor at a place of operation, - a recess provided in the front area and open towards a front side of the front area that faces away from the base, - a metal measuring membrane (9, 9'), which can be deformed in an elastic manner depending on the pressure, said membrane being subjected, during operation, from the outside to a pressure to be measured (p), being arranged on the front side of the sensor body and sealing the recess towards the outside, -- wherein said membrane is made from the same metal as the sensor body and -- wherein said membrane is at a distance from the outer edge of the front area, and - an electromechanical transducer to record the pressure-dependent deformation of the measuring membrane (9, 9'), with at least one measuring element (55, 57) electrically isolated from the measuring membrane (9, 9') and the sensor body by means of an isolator (51, 53), characterized in that - the isolator is a body introduced in the recess, particularly a body anchored in the recess by means of an active brazing solder connection, wherein the front face of the body facing towards the measuring membrane is parallel to the measuring membrane and is located at a distance from said membrane, and - one of the measuring elements is a measuring electrode fitted on the front face of the isolator, wherein said electrode forms a capacitor together with the measuring membrane that serves as a counter-electrode, said capacitor having a capacity that depends on the pressure-dependent deflection of the measuring membrane. - a solid metal sensor body, with a front area and a base following on from said front area, -- wherein the front area has a larger cross-sectional area than the base, and - wherein the front area has an exterior edge which can be clamped with a fastening unit for the purpose of mounting the pressure sensor at a place of operation, - a recess provided in the front area and open towards a front side of the front area that faces away from the base, - a metal measuring membrane (9, 9'), which can be deformed in an elastic manner depending on the pressure, said membrane being subjected, during operation, from the outside to a pressure to be measured (p), being arranged on the front side of the sensor body and sealing the recess towards the outside, -- wherein said membrane is made from the same metal as the sensor body and -- wherein said membrane is at a distance from the outer edge of the front area, and -- wherein said membrane is made from the same metal as the sensor body and -- wherein said membrane is at a distance from the outer edge of the front area, and - an electromechanical transducer to record the pressure-dependent deformation of the measuring membrane (9, 9'), with at least one measuring element (55, 57) electrically isolated from the measuring membrane (9, 9') and the sensor body by means of an isolator (51, 53), - the isolator is a body introduced in the recess, particularly a body anchored in the recess by means of an active brazing solder connection, wherein the front face of the body facing towards the measuring membrane is parallel to the measuring membrane and is located at a distance from said membrane, and - one of the measuring elements is a measuring electrode fitted on the front face of the isolator, wherein said electrode forms a capacitor together with the measuring membrane that serves as a counter-electrode, said capacitor having a capacity that depends on the pressure-dependent deflection of the measuring membrane.