01940nam a22002177a 4500
140323b1997 xxu||||| |||| 00| 0 eng d
9788184896282
515.8
Lang, Serge
122869
Undergraduate analysis
Lang, Serge
2nd ed.
New Delhi
Springer
1997
183369
xv, 642 p.
Undergraduate texts in mathematics
42885
Includes index.
This 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)
Mathematical analysis
661
BK
165638
165638
0
0
ddc
0
0
VSL
VSL
Slot 1381 (0 Floor, East Wing)
2012-04-12
Slot 1381 (0 Floor, East Wing)
515.8 L2U6
175733
2012-04-12
2012-04-12
BK
295.00
INR
11/04/2012
Recd. as gratis from Prof. Vineet Virmani
Gratis