Integral and Measure. From Rather Simple to Rather Complex
Автор: Vigirdas Mackevicius
Год издания:
This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within the same methodological scheme, the author presents the elements of theory of integration in an abstract space equipped with a measure; we cannot do without this in functional analysis, probability theory, etc. The majority of chapters are complemented with problems, mostly of the theoretical type. The book is mainly devoted to students of mathematics and related specialities. However, Part 1 can be successfully used by any student as a simple introduction to integration calculus.
I'd Rather Do Chemo Than Clean Out the Garage
Автор: Fran Di Giacomo
Год издания:
Pearls of wisdom balance hilarious fun in this shameless exploitation of the chemo lifestyle. Fran Di Giacomo shares the game plan she has used for survival, for quality of life, and to maintain her career as a professional artist. «As a career member of the Chemo Club, I have lived with cancer for twenty years,» writes Fran. «In the last five years, I have had thirteen hospitalizations, ten surgeries, and constant chemotherapy. Staying alive is a full-time job. I grew impatient with the usual sob stories dealing with cancer; we don't need tears, we need backbone and laughter! I show readers how to cultivate a new zest and enthusiasm for life and thereby empower themselves to combat their disease.»