About the book
A concise yet elementary introduction to measure and integration theory which are vital in many areas of mathematics including analysis probability mathematical physics and finance. In this highly successful textbook core ideas of measure and integration are explored and martingales are used to develop the theory further. Other topics are also covered such as Jacobi s transformation theorem the Radon-Nikodym theorem differentiation of measures and Hardy-Littlewood maximal functions. In this second edition readers will find newly added chapters on Hausdorff measures Fourier analysis vague convergence and classical proofs of Radon-Nikodym and Riesz representation theorems. All proofs are carefully worked out to ensure full understanding of the material and its background. Requiring few prerequisites this book is suitable for undergraduate lecture courses or self-study. Numerous illustrations and over 400 exercises help to consolidate and broaden knowledge. Full solutions to all exercises are available on the author s webpage at www.motapa.de.
Editions of Measures, Integrals and Martingales
- Paperback
- ISBN 9781316620243
Read an Excerpt
A concise yet elementary introduction to measure and integration theory which are vital in many areas of mathematics including analysis probability mathematical physics and finance. In this highly successful textbook core ideas of measure and integration are explored and martingales are used to develop the theory further. Other topics are also covered such as Jacobi s transformation theorem the Radon-Nikodym theorem differentiation of measures and Hardy-Littlewood maximal functions. In this second edition readers will find newly added chapters on Hausdorff measures Fourier analysis vague convergence and classical proofs of Radon-Nikodym and Riesz representation theorems. All proofs are carefully worked out to ensure full understanding of the material and its background. Requiring few prerequisites this book is suitable for undergraduate lecture courses or self-study. Numerous illustrations and over 400 exercises help to consolidate and broaden knowledge. Full solutions to all exercises are available on the author s webpage at www.motapa.de.
Frequently Asked Questions
What is Measures, Integrals and Martingales about?
A concise yet elementary introduction to measure and integration theory which are vital in many areas of mathematics including analysis probability mathematical physics and finance. In this highly successful textbook core ideas of measure and integration are explored and martingales are used to develop the theory further. Other topics are also covered such as Jacobi s transformation theorem the Radon-Nikodym theorem differentiation of measures and Hardy-Littlewood maximal functions. In this second edition readers will find newly added chapters on Hausdorff measures Fourier analysis vague convergence and classical proofs of Radon-Nikodym and Riesz representation theorems. All proofs are carefully worked out to ensure full understanding of the material and its background. Requiring few prerequisites this book is suitable for undergraduate lecture courses or self-study. Numerous illustrations and over 400 exercises help to consolidate and broaden knowledge. Full solutions to all exercises are available on the author s webpage at www.motapa.de.
What core themes, tropes, or subjects are explored in Measures, Integrals and Martingales?
Mathematics and Science > Mathematics > Probability and statistics
Where can I read a sample of Measures, Integrals and Martingales?
You can read an official preview of the few pages here https://www.book2look.com/book/9781316620243
Who is/are the Author/s of the book Measures, Integrals and Martingales?
Rene Schilling
What are the ISBN numbers for the physical and digital editions?
Measures, Integrals and Martingales is available as paperback(ISBN 9781316620243)