Download E-books Theory of Functions of a Real Variable (Dover Books on Mathematics) PDF

Originally released in volumes, this lengthy out-of-print paintings by means of a widespread Soviet mathematician offers an intensive exam of the speculation of services of a true variable. meant for complex undergraduates and graduate scholars of arithmetic, the therapy bargains a transparent account of integration conception and a pragmatic advent to sensible research. necessities comprise a heritage within the foundations of basic research and a few familiarity with the speculation of irrational numbers, the speculation of limits, non-stop features, Riemann integrals, and countless series.
Volume I covers countless and element units, measurable units and features, the Lebesgue vital of a bounded functionality, square-summable capabilities, services of finite diversifications, the Stieltjes critical, completely contiguous services, and the indefinite Lebesgue vital. quantity II addresses singular integrals, trigonometric sequence, convex services, element units in two-dimensional area, measurable features of numerous variables and their integration, set capabilities and their functions within the idea of integration, transfinite numbers, the Baire type, yes generalizations of the Lebesgue imperative, and a few rules from sensible research. Many chapters characteristic difficult exercises.

Show description

Read Online or Download Theory of Functions of a Real Variable (Dover Books on Mathematics) PDF

Best Analysis books

Introduction to Asymptotics and Special Functions

A vintage reference, meant for graduate scholars, mathematicians, physicists, and engineers, this publication can be utilized either because the foundation for educational classes and as a reference software.

Vector and Tensor Analysis with Applications (Dover Books on Mathematics)

Concise and readable, this article levels from definition of vectors and dialogue of algebraic operations on vectors to the idea that of tensor and algebraic operations on tensors. It also includes a scientific learn of the differential and vital calculus of vector and tensor features of house and time.

Philosophical Analysis in the Twentieth Century, Volume 1: The Dawn of Analysis

It is a significant, wide-ranging historical past of analytic philosophy on account that 1900, informed via one of many tradition's best modern figures. the 1st quantity takes the tale from 1900 to mid-century. the second one brings the heritage brand new. As Scott Soames tells it, the tale of analytic philosophy is one in all nice yet asymmetric growth, with best thinkers making very important advances towards fixing the tradition's middle difficulties.

Additional resources for Theory of Functions of a Real Variable (Dover Books on Mathematics)

Show sample text content

Rated 4.35 of 5 – based on 13 votes