Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel’s functional equation lemma, and a treatment of analytic elements.
A Course in p-adic Analysis
and over one million other books are available for Amazon Kindle.
Learn more
FREE Two-Day Shipping for Students. Learn more |
| ||||||||||||||||||||
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Frequently Bought Together
Editorial Reviews
Review
From the reviews: MATHEMATICAL REVIEWS "The text ends with a large number of exercises. The writing is extremely clear and very meticulous. The bibliography, which does not attempt to be comprehensive, is adequate. I recommend A. Robert’s book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read." MATHSCINET "Robert's book is aimed at an intermediate level between the very specialized monographs and the elementary texts. It has no equal in the marketplace, because it covers practically all of p-adic analysis of one variable (except the rationality of the zeta function of an algebraic variety over a finite field and the theory of p-adic differential equations) and contains numerous results that were accessible only in articles or even in preprints. ... I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read." D. Barsky in MathSciNet, August 2001
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)
First Sentence:
The letter p will denote a fixed prime. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized absolute value, enveloping ball, restricted formal power series, growth modulus, ultrametric field, infraconnected set, restricted power series, regular radius, ultrametric absolute value, ultrametric analysis, strict differentiability, delta operator, critical radii, locally compact fields, analytic elements, ultrametric space, umbral calculus, indefinite sum, first nonzero coefficient, formal power series ring, critical sphere, binomial polynomials, residue degree, ultrametric inequality, locally constant functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ian Irn, Integers Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The letter p will denote a fixed prime. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized absolute value, enveloping ball, restricted formal power series, growth modulus, ultrametric field, infraconnected set, restricted power series, regular radius, ultrametric absolute value, ultrametric analysis, strict differentiability, delta operator, critical radii, locally compact fields, analytic elements, ultrametric space, umbral calculus, indefinite sum, first nonzero coefficient, formal power series ring, critical sphere, binomial polynomials, residue degree, ultrametric inequality, locally constant functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ian Irn, Integers Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
See all 100 books this book cites
- Cyclotomic Fields (Graduate Texts in Mathematics) by S. Lang in Front Matter, Back Matter (1), and Back Matter (2)
- Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften) by S. Lang in Back Matter (1), Back Matter (2), and Back Matter (3)
- Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) by Joseph H. Silverman in Back Matter (1), and Back Matter (2)
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Front Matter, and Back Matter
- Basic Number Theory (Classics in Mathematics) by Andre Weil on page 262, and Back Matter
See all 100 books this book cites
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).
|
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
