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Measure Theory and Integration Ammar Khanfer

Measure Theory and Integration By Ammar Khanfer

Measure Theory and Integration by Ammar Khanfer


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Summary

This textbook contains a detailed and thorough exposition of topics in measure theory and integration. Suitable for independent study, the book, the first of the three volumes, contains topics on measure theory, measurable functions, Lebesgue integration, Lebesgue spaces, and abstract measure theory.

Measure Theory and Integration Summary

Measure Theory and Integration by Ammar Khanfer

This textbook contains a detailed and thorough exposition of topics in measure theory and integration. With abundant solved examples and more than 200 problems, the book is written in a motivational and student-friendly manner. Targeted to senior undergraduate and graduate courses in mathematics, it provides a detailed and thorough explanation of all the concepts. Suitable for independent study, the book, the first of the three volumes, contains topics on measure theory, measurable functions, Lebesgue integration, Lebesgue spaces, and abstract measure theory.


About Ammar Khanfer

Ammar Khanfer earned his Ph.D. from Wichita State University, USA.His area of interest is analysis and partial differential equations (PDEs), focusing on the interfaceand links between elliptic PDEs andhypergeometry.He has notably contributed to the field by providing prototypes studying the behavior of generalized solutions of elliptic PDEs in higher dimensions in connection to the behavior of hypersurfaces near nonsmooth boundaries. He also works on the qualitative theory of differential equations, and in the area of inverse problems of mathematical physics. He has published articles of high quality in reputable journals.

Ammar taught at several universities in the USA: Western Michigan University, Wichita State University, and Southwestern College in Winfield.He was a member of the Academy of Inquiry Based Learning (AIBL) in the USA.During the period 20082014, he participated in AIBL workshops and conferences oneffective teaching methodologies and strategiesof creativethinking, which made an impact on his engaging and motivationalwriting style. He then moved to Saudi Arabia to teach at Imam Mohammad Ibn Saud Islamic University,where he taught and supervised undergraduate and graduate students of mathematics.Furthermore, he was appointed as coordinator of the PhD program establishment committee in the department of mathematics.In 2020, he moved to Prince Sultan University in Riyadh, and has beenteaching there since then.

Table of Contents

Chapter 1. Measure Theory.- Chapter 2. Measurable Functions.- Chapter 3. Lebesgue Integration.- Chapter 4. Lebesgue Spaces.- Chapter 5. Abstract Measure Theory.

Additional information

NPB9789819928811
9789819928811
9819928818
Measure Theory and Integration by Ammar Khanfer
New
Hardback
Springer Verlag, Singapore
2023-09-09
224
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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