Download Counterexamples on Uniform Convergence: Sequences, Series, by Andrei Bourchtein,Ludmila Bourchtein PDF

By Andrei Bourchtein,Ludmila Bourchtein


A complete and thorough research of ideas and effects on uniform convergence

Counterexamples on Uniform Convergence: Sequences, sequence, capabilities, and Integrals presents counterexamples to fake statements ordinarily stumbled on in the research of mathematical research and calculus, all of that are relating to uniform convergence. The booklet contains the convergence of sequences, sequence and households of services, and correct and wrong integrals looking on a parameter. The exposition is specific to the most definitions and theorems so one can discover varied models (wrong and proper) of the elemental techniques and results.

The aim of the booklet is threefold. First, the authors offer a short survey and dialogue of imperative result of the speculation of uniform convergence in actual research. moment, the booklet goals to aid readers grasp the awarded innovations and theorems, that are characteristically hard and are assets of bewilderment and confusion. ultimately, this publication illustrates how very important mathematical instruments resembling counterexamples can be utilized in numerous situations.

The good points of the e-book include:

• an outline of significant strategies and theorems on uniform convergence

• Well-organized insurance of the vast majority of the themes on uniform convergence studied in research courses

• An unique method of the research of vital effects on uniform convergence in line with counterexamples

• extra workouts at various degrees of complexity for every subject coated within the book

• A supplementary Instructor’s strategies guide containing entire recommendations to all routines, that is to be had through a significant other website

Counterexamples on Uniform Convergence: Sequences, sequence, features, and Integrals is a suitable reference and/or supplementary examining for upper-undergraduate and graduate-level classes in mathematical research and complex calculus for college kids majoring in arithmetic, engineering, and different sciences. The booklet can also be a beneficial source for teachers instructing mathematical research and calculus.

ANDREI BOURCHTEIN, PhD, is Professor within the division of arithmetic at Pelotas country college in Brazil. the writer of greater than a hundred referred articles and 5 books, his learn pursuits contain numerical research, computational fluid dynamics, numerical climate prediction, and actual research. Dr. Andrei Bourchtein got his PhD in arithmetic and Physics from the Hydrometeorological middle of Russia.

LUDMILA BOURCHTEIN, PhD, is Senior examine Scientist on the Institute of Physics and arithmetic at Pelotas country college in Brazil. the writer of greater than eighty referred articles and 3 books, her learn pursuits comprise actual and intricate research, conformal mappings, and numerical research. Dr. Ludmila Bourchtein got her PhD in arithmetic from Saint Petersburg kingdom college in Russia.

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