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Mémoires de 1980 à 2008 sont consultables gratuitement sur le site de l'ARB

Analytic functions. --- Fonctions analytiques. --- Fonctions d'une variable complexe --- Complex analysis --- Analytical functions --- Analyse (wiskunde)

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This revised and enlarged fourth edition of "Proofs from THE BOOK" features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem". From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." LMS Newsletter, January 1999

Mathematical logic --- Number theory --- Geometry --- Mathematical analysis --- Discrete mathematics --- Mathematics --- analyse (wiskunde) --- discrete wiskunde --- wiskunde --- logica --- getallenleer --- geometrie

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Complex analysis --- Numerical analysis --- Harmonic analysis. Fourier analysis --- Computer. Automation --- Probability theory --- Analyse (wiskunde). --- Toegepaste wiskunde. --- Engineering mathematics. --- Mathématiques de l'ingénieur

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Advances in bioinformatics and systems biology require improved computational methods for analyzing data, while progress in molecular biology is in turn influencing the development of computer science methods. This book introduces some key problems in bioinformatics, discusses the models used to formally describe these problems, and analyzes the algorithmic approaches used to solve them. After introducing the basics of molecular biology and algorithmics, Part I explains string algorithms and alignments; Part II details the field of physical mapping and DNA sequencing; and Part III examines the application of algorithmics to the analysis of biological data. Exciting application examples include predicting the spatial structure of proteins, and computing haplotypes from genotype data. This book describes topics in detail and presents formal models in a mathematically precise, yet intuitive manner, with many figures and chapter summaries, detailed derivations, and examples. It is well suited as an introduction into the field of bioinformatics, and will benefit students and lecturers in bioinformatics and algorithmics, while also offering practitioners an update on current research topics.

Biomathematics. Biometry. Biostatistics --- moleculaire biologie --- complexe analyse (wiskunde) --- Programming --- Molecular biology --- Complex analysis --- bio-informatica --- Algorithms. --- Bioinformatics --- Mathematics. --- Informatiques -- bioinformatique = informatics -- biological informatics --- Informatiques -- programmation algorithmique = informatics -- algorithmic programming

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Le guide méthodologique commente, à l'intention du professeur, les intentions globales du projet, les enjeux épistémologiques et les aménagements didactiques possibles en fonction du nombre d'heures de mathématiques suivi par les élèves. Il comprend aussi la résolution complète de quelques exercices choisis

Analyse (mathématiques) --- Analyse (wiskunde) --- Methodologie --- Méthodologie --- Mathematical analysis --- Analyse mathématique --- Handbooks, manuals, etc --- Problems, exercises, etc. --- Guides, manuels, etc --- Problèmes, exercices, etc --- Mathématique --- mathematics --- 515 --- Analyse mathématique --- Problèmes, exercices, etc --- Mathématiques --- Mathematics --- Étude et enseignement --- Study and teaching --- Mathématiques --- Étude et enseignement