Borel summation is a mathematical technique used to assign values to certain divergent series, which are sums that do not converge in the traditional sense. This method involves transforming the original series into a new function, known as the Borel transform, which can often be analyzed more easily. By integrating this transformed function, one can obtain a finite value that represents the original series. This approach is particularly useful in areas like quantum field theory and mathematical physics, where divergent series frequently arise. Borel summation helps provide meaningful results from these series, allowing physicists and mathematicians to extract useful information from otherwise problematic calculations.