It takes the average reader 4 hours and 22 minutes to read Asymptotics and Borel Summability by Ovidiu Costin
Assuming a reading speed of 250 words per minute. Learn more
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, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applications-oriented readers. To give a sense of how new methods are used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems. Chronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations.
Asymptotics and Borel Summability by Ovidiu Costin is 256 pages long, and a total of 65,536 words.
This makes it 86% the length of the average book. It also has 80% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 58 minutes to read Asymptotics and Borel Summability aloud.
Asymptotics and Borel Summability is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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