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The Lebesgue Integral
William Johnston
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Description for The Lebesgue Integral
Hardcover. Using minimal prerequisites, this book unlocks the power Lebesgue integral, accessible at a surprisingly early stage in the undergraduate curriculum. Series: Mathematical Association of America Textbooks. Num Pages: 200 pages. BIC Classification: PBKL. Category: (U) Tertiary Education (US: College). Dimension: 253 x 177. .
Using the Daniell–Riesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for greatly increased curricular flexibility for course instructors, as well as providing undergraduates with a gateway to the powerful modern mathematics of functions at a very early stage. The book's topics include: the definition and properties of the Lebesgue integral; Banach and Hilbert spaces; integration with respect to Borel measures, along with their associated L2(μ) spaces; bounded linear operators; and the spectral theorem. The text also describes several applications of the ... Read more
Using the Daniell–Riesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for greatly increased curricular flexibility for course instructors, as well as providing undergraduates with a gateway to the powerful modern mathematics of functions at a very early stage. The book's topics include: the definition and properties of the Lebesgue integral; Banach and Hilbert spaces; integration with respect to Borel measures, along with their associated L2(μ) spaces; bounded linear operators; and the spectral theorem. The text also describes several applications of the ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Mathematical Association of America United States
Number of pages
200
Condition
New
Series
Mathematical Association of America Textbooks
Number of Pages
295
Place of Publication
Washington, United States
ISBN
9781939512079
SKU
V9781939512079
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About William Johnston
William Johnston is Professor of Mathematics at Butler University, Indiana. His publications include articles on operator theory and functional analysis, and the undergraduate textbooks A Transition to Advanced Mathematics: A Survey Course (with Alex McAllister) and An Introduction to Statistical Inference.
Reviews for The Lebesgue Integral
In 1902, modern function theory began when Henri Lebesgue described a new 'integral calculus.' His Lebesgue integral handles more functions than the traditional integral
so many more that mathematicians can study collections (spaces) of functions. For example, it defines a distance between any two functions in a space. This book describes these ideas in an elementary, accessible way. Anyone who has ... Read more
so many more that mathematicians can study collections (spaces) of functions. For example, it defines a distance between any two functions in a space. This book describes these ideas in an elementary, accessible way. Anyone who has ... Read more