By Alain M. Robert
Discovered on the flip of the 20th century, p-adic numbers are usually utilized by mathematicians and physicists. this article is a self-contained presentation of simple p-adic research with a spotlight on analytic subject matters. It deals many good points hardly ever handled in introductory p-adic texts similar to topological versions of p-adic areas inside of Euclidian house, a unique case of Hazewinkel’s sensible equation lemma, and a remedy of analytic elements.
Read or Download A Course in p-adic Analysis (Graduate Texts in Mathematics) PDF
Similar number theory books
This contemporary creation to the principles of good judgment and arithmetic not just takes concept under consideration, but in addition treats in a few aspect functions that experience a considerable impression on way of life (loans and mortgages, bar codes, public-key cryptography). a primary college-level advent to common sense, proofs, units, quantity concept, and graph idea, and a very good self-study reference and source for teachers.
Bridges the space among theoretical and computational elements of leading numbersExercise sections are a goldmine of fascinating examples, tips to the literature and capability study projectsAuthors are recognized and highly-regarded within the box
This booklet provides a unified treatise of the speculation of degree and integration. within the surroundings of a normal degree house, each proposal is outlined accurately and each theorem is gifted with a transparent and whole evidence with the entire correct information. Counter-examples are supplied to teach that convinced stipulations within the speculation of a theorem can't be easily dropped.
A classical theorem of Jordan states that each finite transitive permutation crew encompasses a derangement. This lifestyles consequence has attention-grabbing and unforeseen purposes in lots of parts of arithmetic, together with graph idea, quantity conception and topology. quite a few generalisations were studied in additional contemporary years, with a selected concentrate on the lifestyles of derangements with detailed homes.
- The Arithmetic of Fundamental Groups: PIA 2010 (Contributions in Mathematical and Computational Sciences)
- Handbook of Computer Vision Algorithms in Image Algebra
- Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson: 9 (Springer Proceedings in Mathematics)
- Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics)
Additional info for A Course in p-adic Analysis (Graduate Texts in Mathematics)
A Course in p-adic Analysis (Graduate Texts in Mathematics) by Alain M. Robert