000			02057nam a2200253Ia 4500
003			OSt
005			20250716164633.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9780857291912
040			_aCSL _beng _cCSL
041			_aeng
084			_aB32 Q1 TB _qCSL
100			_aShirali, Satish _eauthor.
245		0	_aMultivariable analysis
260			_aLondon : _bSpringer Verlag, _c2011.
300			_aix, 394p.
500			_aIncludes References 387-388p. and Index 389-394p.
520			_aThis book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.
650			_aMultivariable analysis. _9815801
650			_aStatistics.
700			_aVasudeva, Harkrishan Lal _eco-author. _9815802
942			_hB32 Q1 TB _cTEXL _2CC _n0
999			_c9077 _d9077