000			02140cam a2200265 i 4500
001			17784010
003			ISI Library, Kolkata
005			20150203124406.0
008			130619s2013 flua b 001 0 eng
020			_a9781466515116 (hardcover : acidfree paper)
040			_aISI Library
082	0	0	_a515.392 _223 _bP332
100	1		_aPaulsen, William.
245	1	0	_aAsymptotic analysis and perturbation theory / _cWilliam Paulsen.
260			_aBoca Raton : _bCRC Press, _cc2014.
300			_axxiii, 526 p. : _billustrations ; _c24 cm.
500			_a"A CRC title."
504			_aIncludes bibliographical references (pages 519-520) and index.
505			_a1. Introduction to asymptotics-- 2. Asymptotics of integrals-- 3. Speeding up convergence-- 4. Differential equations-- 5. Asymptotic series solutions for differential equations-- 6. Difference equations-- 7. Perturbation theory-- 8. WKBJ theory-- 9. Multiple-scale analysis-- Appendix-guide to the special functions-- Answers to odd-numbered problems-- Bibliography-- Index.
520			_aBeneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge of differential equations. It explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations. With varying levels of problems in each section, this self-contained text makes the difficult subject of asymptotics easy to comprehend. Along the way, it explores the properties of some important functions in applied mathematics. Although the book emphasizes problem solving, some proofs are scattered throughout to give readers a justification for the methods used.
650		0	_aPerturbation (Mathematics).
650		0	_aDifferential equations _xAsymptotic theory.
650		0	_aMATHEMATICS -- Differential Equations -- General.
942			_2ddc _cBK
999			_c415991 _d415991