Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Frequently Bought Together
Editorial Reviews
Review
From the reviews: "This volume of the new English edition of the famous series of monographs contains chapters … which are devoted to integration theory. … It contains the basic theory on locally compact groups, an abstract theory, applications and examples. … Due to an abstract, general and exact exposition, the textbook may also be of interest for specialists in the topic." (EMS Newsletter, June, 2006)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
Key Phrases - Statistically Improbable Phrases (SIPs):
(learn more)
tight topology, nonzero positive measure, full submonoid, increasing directed set, essential upper integral, special triangular group, absent express mention, group operating continuously, continuous linear representation, symmetric compact neighborhood, increasing directed family, left uniform structure, bounded positive measures, compact convergence, bounded complex measure, locally negligible, completely regular space, equal locally, tight convergence, locally compact group, vague topology, positive hermitian form, integrable subsets, compact intersection, positive quadratic form Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | First Pages | Index | Back Cover | Surprise Me!
tight topology, nonzero positive measure, full submonoid, increasing directed set, essential upper integral, special triangular group, absent express mention, group operating continuously, continuous linear representation, symmetric compact neighborhood, increasing directed family, left uniform structure, bounded positive measures, compact convergence, bounded complex measure, locally negligible, completely regular space, equal locally, tight convergence, locally compact group, vague topology, positive hermitian form, integrable subsets, compact intersection, positive quadratic form Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
- Limit Theorems of Probability Theory (Encyclopaedia of Mathematical Sciences) by Yu.V. Prokhorov on page 126, and page 129
- Generalized Functions. Volume I: Properties and Operations by I. M. Gel'fand on page 132
- Theory of the Integral (Dover Books on Mathematics) by Stanislaw Saks on page 131
- Harmonic Analysis and the Theory of Probability (Dover Books on Mathematics) by Salomon Bochner on page 132
- Number Theory: An approach through history from Hammurapi to Legendre by André Weil on page 121
Books on Related Topics
(learn more)
|
What Other Items Do Customers Buy After Viewing This Item?
Suggested Tags from Similar Products(What's this?)Be the first one to add a relevant tag (keyword that's strongly related to this product).
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
