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020 _a9783030734626
_9978-3-030-73462-6
024 7 _a10.1007/978-3-030-73462-6
_2doi
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
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082 0 4 _a620.3
_223
100 1 _aJazar, Reza N.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_933136
245 1 0 _aPerturbation Methods in Science and Engineering
_h[electronic resource] /
_cby Reza N. Jazar.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXVII, 578 p. 180 illus., 178 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart1. Preliminaries -- Chapter1. P1: Principles of Perturbations -- Chapter2. P2: Differential Equations -- Chapter3. P3: Approximation of Functions -- Part2. Perturbation Methods -- Chapter4. Harmonic Balance Method -- Chapter5. Straightforward Method -- Chapter6. Lindstedt-Poincaré Method -- Chapter7. Mathieu Equation -- Chapter8. Averaging Method -- Chapter9. Multiple Scales Method.
520 _aPerturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems. Illustrates all key concepts with solved examples; Includes numerous exercises for each chapter; Covers both time and steady state responses of nonlinear differential equations; Covers necessary theory and applied to a variety of topics in optimization and control.
650 0 _aMultibody systems.
_96018
650 0 _aVibration.
_96645
650 0 _aMechanics, Applied.
_93253
650 0 _aSystem theory.
_93409
650 0 _aControl theory.
_93950
650 0 _aControl engineering.
_931970
650 0 _aRobotics.
_92393
650 0 _aAutomation.
_92392
650 1 4 _aMultibody Systems and Mechanical Vibrations.
_932157
650 2 4 _aSystems Theory, Control .
_931597
650 2 4 _aControl, Robotics, Automation.
_931971
710 2 _aSpringerLink (Online service)
_933137
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030734602
776 0 8 _iPrinted edition:
_z9783030734619
856 4 0 _uhttps://doi.org/10.1007/978-3-030-73462-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75378
_d75378