By Henning Stichtenoth
This booklet hyperlinks topics: algebraic geometry and coding conception. It makes use of a unique technique according to the idea of algebraic functionality fields. assurance comprises the Riemann-Rock theorem, zeta services and Hasse-Weil's theorem in addition to Goppa' s algebraic-geometric codes and different conventional codes. it is going to be helpful to researchers in algebraic geometry and coding concept and laptop scientists and engineers in info transmission.
Read or Download Algebraic Function Fields and Codes: 254 (Graduate Texts in Mathematics) PDF
Best number theory books
There are numbers of every kind: rational, actual, advanced, p-adic. The p-adic numbers are much less renowned than the others, yet they play a basic function in quantity idea and in different elements of arithmetic. This undemanding creation deals a extensive realizing of p-adic numbers. From the experiences: "It is likely to be the main appropriate textual content for rookies, and that i shall certainly suggest it to an individual who asks me what a p-adic quantity is.
From the studies: "This ebook offers a radical creation to numerous theories which are basic to analyze on modular kinds. lots of the fabric, regardless of its significance, had formerly been unavailable in textbook shape. entire and readable proofs are given. .. In end, this booklet is a great addition to the literature for the turning out to be variety of scholars and mathematicians in different fields who are looking to comprehend the hot advancements within the conception of modular varieties.
From a evaluation of the second one edition:"This e-book covers many fascinating subject matters now not frequently lined in a gift day undergraduate path, in addition to sure easy subject matters comparable to the improvement of the calculus and the answer of polynomial equations. the truth that the subjects are brought of their ancient contexts will permit scholars to higher relish and comprehend the mathematical rules concerned.
The purpose of this publication is to offer a scientific exposition of ends up in a few vital instances the place p-adic households and p-adic L-functions are studied. We first examine p-adic households within the following circumstances: basic linear teams, symplectic teams and sure unitary teams. We additionally examine purposes of this concept to modularity lifting difficulties.
- The Theory of Partitions (Encyclopedia of Mathematics and its Applications)
- Learning and Teaching Number Theory: Research in Cognition and Instruction (Mathematics, Learning, and Cognition)
- Fearless Symmetry: Exposing the Hidden Patterns of Numbers
- Linear Algebra with Applications
- The Arithmetic of Elliptic Curves: v. 106 (Graduate Texts in Mathematics)
Extra info for Algebraic Function Fields and Codes: 254 (Graduate Texts in Mathematics)
Algebraic Function Fields and Codes: 254 (Graduate Texts in Mathematics) by Henning Stichtenoth
- Get Nature Conservation: Cost Effective Biological Surveys and PDF
- Download PDF by Martin J. Ball,Nicole Muller: Phonetics for Communication Disorders