000 02435nam a2200313 i 4500
008 200219s2018 sz 000 0 eng d
020 _a9783319890388
_qpaperback
_cRM353.44 (PTSL)
040 _aGW5XE
_beng
_erda
_epn
_cGW5XE
_dYDX
_dAZU
_dUAB
_dFIE
_dOCLCF
_dUPM
_dJG0
_dOCLCQ
_dSTF
_dUKM
_erda
090 _aQA315
_b.K534
100 1 _aKielhöfer, Hansjörg,
_eauthor.
245 1 0 _aCalculus of variations :
_ban introduction to the one-dimensional theory with examples and exercises /
_cHansjörg Kielhöfer.
264 1 _aCham, Switzerland :
_bSpringer,
_c2018.
264 4 _c©2018.
300 _axvi, 227 pages :
_billustrations ;
_c24 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
490 1 _aTexts in applied mathematics,
_x0939-2475 ;
_vvolume 67.
504 _aIncludes bibliographical references and index.
520 _aThis clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.--
_cProvided by publisher
650 0 _aCalculus of variations.
907 _a.b16823102
_b2020-10-07
_c2020-08-14
942 _c01
_n0
_kQA315 .K534
949 _o101012986
990 _aros/jm
991 _aFakulti Sains dan Teknologi
998 _at
_b2020-08-14
_cm
_da
_feng
_gsz
_y0
_z.b16823102
999 _c649703
_d649703