000			03711nam a22004575i 4500
001			978-0-8176-8349-8
003			DE-He213
005			20140220083228.0
007			cr nn 008mamaa
008			120709s2012 xxu| s |||| 0|eng d
020			_a9780817683498 _9978-0-8176-8349-8
024	7		_a10.1007/978-0-8176-8349-8 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aZemyan, Stephen M. _eauthor.
245	1	4	_aThe Classical Theory of Integral Equations _h[electronic resource] : _bA Concise Treatment / _cby Stephen M. Zemyan.
264		1	_aBoston, MA : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012.
300			_aXIII, 344 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface -- Introduction -- Fredholm Integral Equations of the Second Kind (Separable Kernel) -- Fredholm Integral Equations of the Second Kind (General Kernel) -- Volterra Integral Equations -- Differential and Integrodifferential Equations -- Nonlinear Integral Equations -- Singular Integral Equations -- Systems of Integral Equations -- Appendix A 2010 Mathematics Subject Classification 45-XX Integral Equations -- Appendix B Specialized Vocabularies and Sample Translations -- Bibliography -- Index.
520			_aThe Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations.  The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field.  With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are:  • A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; • Thorough discussions of the analytical methods used to solve many types of integral equations; • An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; • Over 80 illustrative examples that are explained in meticulous detail; • Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; • Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have.  The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study.  Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
650		0	_aMathematics.
650		0	_aDifferential Equations.
650		0	_aEngineering mathematics.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aMathematical Physics.
650	2	4	_aApplications of Mathematics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817683481
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8349-8
912			_aZDB-2-SMA
999			_c100252 _d100252