01973nam 22002057a 4500008004100000020001800041082001000059100002400069245004000093250001300133260003800146300001500184440004600199500002000245520121500265650003101480942000701511999001901518952023001537140323b1997 xxu||||| |||| 00| 0 eng d a9788184896282 a515.8 aLang, Serge9122869 aUndergraduate analysiscLang, Serge a2nd ed. aNew DelhibSpringerc19979183369 axv, 642 p. aUndergraduate texts in mathematics942885 aIncludes index. aThis is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises. Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of L1-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises. (http://www.springer.com/mathematics/analysis/book/978-0-387-94841-6) aMathematical analysis9661 cBK c165638d165638 00102ddc4070aVSLbVSLcSlot 1381 (0 Floor, East Wing)d2012-04-12kSlot 1381 (0 Floor, East Wing)o515.8 L2U6p175733r2012-04-12w2012-04-12yBKA295.00BINRC11/04/2012DRecd. as gratis from Prof. Vineet VirmaniIGratis