Undergraduate analysis. 2nd ed. (English) Zbl 0962.46001

Undergraduate Texts in Mathematics. New York, NY: Springer. xv, 642 p. (1996).
The changes of this second edition compared to the first (1983; Zbl 0509.46037) are described by the publisher as follows: 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 \(L^1\)-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.
The first edition in turn is the successor of “Analysis I” (1968; Zbl 0159.34033).


46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46G05 Derivatives of functions in infinite-dimensional spaces
26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
26Bxx Functions of several variables
26Axx Functions of one variable