Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. Throughout the text, many exercises are incorporated, enabling students to apply new ideas immediately. Jones strives to present a slow introduction to Lebesgue integration by dealing with n-dimensional spaces from the outset.
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Approximately years ago, Henri Lebesgue described a new theory of integration to handle many important, possibly discontinuous, functions of several variables. This discovery has proven to be one of the most influential mathematical events of history. For example it greatly advanced the development of probability theory and Fourier analysis. Remarkably, though enjoying many extensions and generalizations, it retains its original formulation while in actve use today.
In this course, we will carefully develop Lebesgue's integration theory. Some of the topics to be covered are as follows:. Jones HB This resource gives an excellent careful treatment and is a great source of exercises. There will be a homework assignment each week when there is not an hour exam scheduled. All homework is usually due each Wednesday, one week after it is assigned. In doing any problem in the text you may find it useful to use the results of previous problems in the text.
The homework is not pledged. You are encouraged to discuss the homework, and to work together on the problems. However each student is responsible for the final preparation of his or her own homework papers. Homework Assignments. Note the changes in Homework 4. Note Homework 5 now due Monday Oct. Note the change in Problem 8 of Homework 8.
Midterm Exam. This is a take-home exam that will be distributed in sealed envelopes Monday Oct. It will be due back Monday Oct. After opening the envelope you should work for no more than the next 2 hours. You may use the textbook or notes. Be sure and hand in all the work you do on each problem. Good luck! Midterm Exam Solutions. Final Exam.
This is a take-home final that will be distributed in sealed envelopes Friday December 2. It will be due back at the end of Finals period Wednesday Dec. After opening the envelope you should work for no more than the next 4 hours. You may use the textbook or notes or old homeworks. The final contains a few homework problems and a few problems similar to those on the midterm exam. The last homework 11 is graded and outside the door of HB This page is maintained by Robert Hardt, hardt rice.
Lebesgue Integration On Euclidean Space,