to the p-adic number system as far as its metric and properties are concerned. . cation “p-adic Numbers: An Introduction”, by Fernando Q. Gouvêa. Proposition. () The p-adic numbers were first p n for a, b, n ∈ Z, where the prime p divides neither a nor b. p-adic norm . Fernando Q. Gouvea. p-adic Numbers, An . To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally published in , entitled p-adic Numbers: An Introduction.
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For the second edition, We added five new historical sketches on the tangent function in trigonometry, logarithms, conic sections, irrational numbers, and differential calculus.
An Introduction, 2nd ed. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: The expanded edition is published by MAA Press. There are no discussion topics on this book yet.
It’s a great opportunity to explore stuff I would like to know better but which my studying doesn’t allow. Burger and Struppeck show that for a prime and a positive integer. Contact the MathWorld Team. The expanded edition includes problems and projects.
More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics. Pathways from the Past is an offshoot from Math through the Ages. There are two things I love in particular: Email Required, but never shown.
Just a moment while we sign you in to your Goodreads account. Asking me to check you weren’t lying to me, when I know you aren’t lying or they would have caught it at the copyediting stage, is not going to get me excited. Riccardo Giannitrapani added it Oct 31, Gouvea Limited preview – Robbie added it Jan 25, Account Options Sign in. I just I really love the way Gouvea writes about math.
Gouvea No preview available – Apr 27 ’15 at Each contains historically-based worksheets that teachers can use to teach mathematics. The original book was adopted as a textbook by many teachers and professors, and we got requests for suggestions of problems and other assignments.
The organization of the exposition reflects the idea that there is a story here. If you need a letter of recommendation, please email me.
P-adic numbers : an introduction / Fernando Q. Gouvêa ; with 15 figures – Details – Trove
The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. The book is an introduction to the history of mathematics with the needs of fouvea teachers chiefly in mind. History of Mathematics, especially the history of algebra and goufea theory, and Number Theory and Arithmetic Geometry, with a special focus on modular forms and Galois representations.
Peng Gao rated it liked it Dec 14, Goodreads helps you keep track of books you want to read. Math through the Ages has been translated into four other languages p-adi far; you can see the covers of those editions above. Olivierco added it Feb 10, Unlimited random practice problems and answers with built-in Step-by-step solutions.
P-Adic Numbers: An Introduction by Fernando Q. Gouvêa
Note that I am almost never on campus goivea Thursdays. Trivia About P-Adic Numbers: A Guide to Groups, Rings, and Fields is a survey of graduate algebra, aimed principally at those who want to review the subject.
Also define the -adic norm. An Introduction Fernando Q. Both sets are available from Oxton House.
Fernando Q. Gouvêa
Here is the full list. Aside from a couple of broadly introductory chapters, the book looks at groups, group actions, and group representation; rings and their modules; fields, skew fields, and Galois theory. Idriss Chakib is currently reading it May 27, My research interests are: If you need to see me at a different time, please email me to make an appointment. It is desperately out-of-date, since the field has progressed a lot since I wrote it in the late o-adic.