First meeting: Wednesday, september 3, 2008. About the instructor, jeffrey lagarias, email: web: ich. Edu/lagarias, office: 3086 East Hall. Office Phone: 763-1186, office hours: tba, course description. The fundamental theorem of arithmetic states that any non-zero integer is expressible as a product of primes in review a manner that is unique up to order of the factors and units (i.e. Algebraic number theory begins with trying to understand how this generalizes (or fails to do so) in algebraic number fields. An algebraic number field is a finite extension of q, and an element of such a field is called an algebraic number. The course covers the basic structure of such field and some analogs in positive characteristic.

Exams: Two midterms will be scheduled during regular class (1h15min long). You are allowed with one-sided formulae sheet. The final exam will be 2-hour long, and currently it is scheduled for Monday, december 16, 2013, 8:00am-10:00am. For the final exam you are allowed with two cheat sheets. Review Sessions : tba. Grading: 20: homeworks 40: midterms 40: final exam. Math 676 Syllabus, math 676 is a first semester graduate course in algebraic number theory. Course details, time: mwf, 11AM-noon, place: 4096 East Hall.

### Fibonacci, number - from Wolfram MathWorld

Benedetto, "Harmonic Analysis and Applications crc press 1996. Description: math 464 is an introduction to transformed methods used in science and engineering applications. Lectures will cover topics including: fourier transform, fourier series, discrete and fast fourier transform (dft and fft laplace transform, poisson Summation, word and sampling. Optional Topics: Distributions and operational calculus, pdes, wavelet transform, radon transforms. Applications: Imaging, Speech Processing, pdes of Mathematical Physics, communications, Inverse Problems. Assignments: Homework must be submitted on the date assigned.

Homework must be prepared without consulting any other person. You may however consult any written reference. In this case you should cite the reference. Results taken statement from the reference should be (re)stated to the notation used in the course. Explanation should be given in complete English sentences. Written work must be legible and clear.

Instructor: Radu balan, contact: Office hours: tues. 12:30-1:30 pm in csic 4131 (cscamm). Email: rvbalan. Edu, office: Math 2308 / cscamm 4131. Lectures: 11:00am-12:15pm on tue., Thr., in csic 4122.

Except when a cscamm workshop takes place. Prerequisites: math 246, textbook: Required Textbook : "a first course in fourier Analysis" by david. Kammler, cambridge University Press 2000 (1st Edition or 2007 (2nd Edition). Additional References : Charles. Epstein, "Introduction to the mathematics of Medical Imaging siam 2008. Lieb and Michael Loss, "Analysis ams 2001.

### World-Wide web Access Statistics for

Pm, tA: Stacy teng office: css 0202 phone: (301) office hours: Wed 1, pm wood - 3,. Lecture in, cSS 2428, tu-Th 11:00, am - 12:15,. Discussion in, cSS 1113, f 1:00, pm - 1:50, pM, text: Universe (7th edition isbn by, freedman kaufmann, course Information. Useful Links, announcements, final grades: University interpretation of Federal privacy law effectively forbids the posting of final grades by the professor. You may obtain grade information directly from the University through mars or, testudo. Final Exams and other graded work can be picked up from Stacy teng. Assignments Homework 1 solutions Homework 2 solutions Homework 3 solutions Homework 4 solutions Homework 5 solutions Homework 6 solutions I have placed a copy of the textbook on reserve at the Engineering and Physical Sciences Library. The easiest way to get there is to enter the front of the math building and take the right hand corridor from the circular entrance hall). Fall restaurant 2013: math 464 Transformed Methods for Scientists and Engineers.

( Texte intégral, windows résumé ) Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields, par Frédéric Campana, henri guenancia mihai pǎun. ( Texte intégral, résumé ) Injections de sobolev probabilistes et applications, par Nicolas Burq gilles Lebeau. ( Texte intégral, résumé ) diagonalization and rationalization of algebraic laurent series, par Boris Adamczewski jason. ( Texte intégral, résumé ) Automatic continued fractions are transcendental or quadratic, par Yann Bugeaud. ( Texte intégral, résumé ) Erratum à «Sur une conjecture de kottwitz au bord», par Benoît Stroh. ( Texte intégral, résumé ) Annales scientifiques de l'École normale supérieure École normale supérieure 45 rue d'Ulm F-75230 Paris cedex 05, france téléphone :, fax : courriel. Astr 120 Introductory Astrophysics - solar System Homepage. Fall 2005, prof: Stacy McGaugh office: css 1251 phone: (301) office hours: tu 12:15, pm -.

teresa Krick martín Sombra. ( Texte intégral, résumé ) Varieties of minimal rational tangents of codimension 1, par Jun-muk hwang. ( Texte intégral, résumé ) Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes, par mikhail Borovoi, cyril Demarche david Harari. ( Texte intégral, résumé ) Volume 46, fascicule 5 (2013) Pseudo-abelian varieties, par Burt Totaro. ( Texte intégral, résumé ) On the linearization theorem for proper lie groupoids, par Marius Crainic ivan Struchiner. ( Texte intégral, résumé ) Dimers and clusters integrable systems, par Aleksandr. ( Texte intégral, résumé ) Isospectrality for quantum toric integrable systems, par laurent Charles, álvaro pelayo vũ ngọc San. ( Texte intégral, résumé ) Erratum to: «Elementary embeddings in torsion-free hyperbolic groups», par Chloé perin. ( Texte intégral, résumé ) Volume 46, fascicule 6 (2013) Axiom a versus Newhouse phenomena for Benedicks-Carleson toy models, par Carlos Matheus, carlos.

( Texte intégral, trunk résumé ) Volume 46, fascicule 2 (2013) Travelling graphs for the forced mean curvature motion in an arbitrary space dimension, par Régis Monneau, jean-Michel Roquejoffre violaine roussier-Michon. ( Texte intégral, résumé ) gaussian measures associated to the higher order conservation laws of the benjamin-Ono equation, par nikolay tzvetkov nicola visciglia. ( Texte intégral, résumé ) kam theory for the hamiltonian derivative wave equation, par Massimiliano berti, luca biasco michela Procesi. ( Texte intégral, résumé ) Volume 46, fascicule 3 (2013) Lagrangian fibrations on hyperkähler manifolds question of beauville, par Daniel Greb, christian Lehn sönke rollenske. ( Texte intégral, résumé ) Invariants, torsion indices and oriented cohomology of complete flags, par Baptiste calmès, viktor Petrov kirill zainoulline. ( Texte intégral, résumé ) The generalized Hodge and Bloch conjectures are equivalent for general complete intersections, par Claire voisin. ( Texte intégral, résumé ) Finiteness of cominuscule quantum K-theory, par Anders. Buch, pierre-Emmanuel Chaput, leonardo.

### Homework for, session 2: Inside job (Optional)

Annales scientifiques de l'École normale supérieure : Volume 46 (2013) À propos, dernières parutions, comité de rédaction, soumissions. Abonnements, contact, volume 46, fascicule 1 (2013 on the structural theory of rm II_1 factors of negatively curved groups, par. Ionut Chifan thomas Sinclair. texte intégral, résumé arithmetic of 0-cycles on varieties defined over number improve fields, par, yongqi liang. texte intégral, résumé hofer's metrics and boundary depth, par, michael Usher. texte intégral, résumé random walks on co-compact fuchsian groups, par Sébastien gouëzel steven. ( Texte intégral, résumé ) On standard norm varieties, par nikita.

( Texte intégral, résumé ).

I may occasionally ask students to briefly present homework solutions. I do not want to have exams in this course. Kam theory for the hamiltonian derivative wave equation, par Massimiliano berti, luca biasco michela Procesi.

Tyco retail, solutions and sensormatic are marks and/or registered marks. Unauthorized use is strictly prohibited. Janusz, algebraic Number fields, 2nd Edition (. Ams 2005) we will include as many examples and applications as possible and some of these will be developed in the homework.

Homework assignments: The final exam for this class will be on Monday, april 29, 12:20-2:10pm in 301, boucke. Lieb and Michael Loss, analysis, ams 2001. Assignments: Homework must be submitted on the date assigned.

Geometry of Polynomials, mathematical Monographs and Surveys 3, on googlebooks by morris Marden, ams, 1986. If you copy homework solutions from an online source, then you will get no credit. Homework 1, solutions, homework 2, solutions, homework 3, solutions, homework. Solutions, homework 5, solutions, homework 6, solutions.