Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr

Introduction. Review of Some Basic Tools. Classical Asymptotics. Analyzable Functions and Transseries. Borel Summability in Differential Equations. Asymptotic and Transasymptotic Matching; Formation of Singularities. Other Classes of Problems. Other Important Tools and Developments. References. Index.