000 01741 a2200265 4500
999 _c53887
_d53887
008 201030b ||||| |||| 00| 0 eng d
020 _a9781108416412
082 _a515.352
_bNAN
100 _aNandakumaran, A. K.
245 _aOrdinary differential equations: principles and applications
260 _bCambridge University Press,
_c2017.
_aCambridge:
300 _axviii, 328 p. : ill;
_bhb;
_c24 cm.
365 _aINR
_b695.00
440 _aCambridge - IISc series.
504 _aIncludes bibliographical references and index.
520 _aWritten in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.
650 _aDifferential Equations
650 _aMathematical analysis
650 _aElectrical Circuit
650 _aFlight Trajectory
650 _aEuclidean Space
700 _aDatti, P. S.
700 _aGeorge, Raju K.
942 _2ddc
_cTD