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AB CDspringer.comN. BourbakiÉléments de mathématiqueElements of MathematicsPrix spécial pourl’ensemble des25 volumes* 899,53*comprenant tous les volumespubliés à l’exception de : AlgèbreChapitre 8 (2e éd. à paraître en2007) et Éléments d’histoire desmathématiquesPour plus d’informationsconsultez springer.comFor further detailsplease visitspringer.comLes Éléments de mathématique –désormais édités par Springer !Tous les volumes publiés de cette œuvre monumentale seront enfin de nouveaudisponibles. Publiés pour la première fois entre 1939 et 1998, bon nombre d’entreeux étaient épuisés depuis des années. De nouveaux volumes, également publiés parSpringer, viendront s‘ajouter à cette collection.L‘objet de ce traité est une présentation rigoureuse, systématique et sans prérequisdes mathématiques depuis leurs fondements. Ouvrage de référence, ce traité a saplace dans la bibliothèque de tout mathématicien. Il est divisé en Livres et chaqueLivre en Chapitres. Les Livres actuellement publiés sont les suivants :1.2.3.4.5.Théorie des ensemblesAlgèbreTopologie généraleFonctions d’une variable réelleEspaces vectoriels topologiques6. Intégration7. Algèbre commutative8. Variétés différentielles et analytiques9. Groupes et algèbres de Lie10. Théories spectralesA Toolkit for the Working MathematicianThe writing of the Elements of Mathematics began in 1935. The purpose of this seriesis to provide a formal, systematic presentation of mathematics from their beginning.This reference work is useful to any mathematician.English translations of the original French version published by Springer :1.2.3.4.Theory of SetsAlgebra (Chapters 1–7)General TopologyFunctions of one Real Variable5.6.7.9.Topological Vector SpacesIntegration (Chapters 1– 6)Commutative Algebra (Chapters 1–7)Lie Groups and Lie AlgebrasEasy Ways to Order for the Americas Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA Call: (toll free)1-800-SPRINGER Fax: 1(201)348-4505 Email: orders-ny@springer.com or for outside the Americas Write: Springer Distribution CenterGmbH, Haberstrasse 7, 69126 Heidelberg, Germany Call: 49 (0) 6221-345-4301 Fax : 49 (0) 6221-345-4229 Email: SDC-bookorder@springer.com Prices are subject to change without notice. All prices are net prices.012624x

AB CDspringer.comLecture Notes of the UnioneMatematica Italiana distinguished Editorial Board includingrepresentatives of the Italian mathematicalcommunity, and equally many members fromacross the world, together spanning thebreadth of current mathematical research. modelled after the well-established LectureNotes in Mathematics (LNM) series of Springer published by Springer on behalf of the UnioneMatematica Italiana (UMI)An Introduction to Navier-StokesEquation and OceanographyNEWSSERIEL. Tartar, Carnegie Mellon University, Pittsburgh, USAThe Introduction to Navier-Stokes Equation and Oceanography corresponds to agraduate course in mathematics, taught at Carnegie Mellon University in the spring of1999. Comments were added to the lecture notes distributed to the students, as well asshort biographical information for all scientists mentioned in the text, the purposebeing to show that the creation of scientific knowledge is an international enterprise,and who contributed to it, from where, and when. The goal of the course is to teach acritical point of view concerning the partial differential equations of continuummechanics, and to show the need for developing new adapted mathematical tools.2006, XXVIII, 247 p.,(Lecture Notes of the Unione Matematica Italiana, Vol. 1) SoftcoverISBN 3-540-35743-2 39,95 30.50Topics on Concentration Phenomena and Problemswith Multiple ScalesA. Braides, Università di Roma 'Tor Vergata', Italy; V. Chiadò Piat, Politecnico di Torino,Italy (Eds.)The study of variational problems showing multi-scale behaviour with oscillation orconcentration phenomena are a challenging topic of very active research. This volumeincludes lecture notes devoted to the asymptotic analysis of such problems when themulti-scale behaviour derives from scale separation in the passage from atomisticsystems to continuous functionals, from competition between bulk and surfaceenergies, from various types of homogenization processes (random, in perforateddomains, on fractals), and to concentration effects in Ginzburg-Landau energies and insubcritical growth problems.Twso v olumeIN 20062006, XII, 317 p., 5 illus., (Lecture Notes of the Unione Matematica Italiana, Vol. 2)SoftcoverISBN 3-540-36241-X 49,95 38.50Easy Ways to Order for the Americas Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA Call: (toll free)1-800-SPRINGER Fax: 1(201)348-4505 Email: orders-ny@springer.com or for outside the Americas Write: Springer Distribution CenterGmbH, Haberstrasse 7, 69126 Heidelberg, Germany Call: 49 (0) 6221-345-4301 Fax : 49 (0) 6221-345-4229 Email: SDC-bookorder@springer.com Prices are subject to change without notice. All prices are net prices.012619x

springer.com/booksellersG. Allaire, École Polytechnique, Palaiseau, FranceConception optimale desstructures“Conception optimale des structures” est uneintroduction à la conception optimale de structures, appelée aussi optimisation de formes. Ilest principalement destiné à un public mixtede mathématiciens appliqués et de mécaniciensque relient un même intérêt pour les applications numériques. Il traite de tous les aspects del‘optimisation de formes, paramétrique, géométrique et topologique, et fait une large place auxalgorithmes numériques, méthodes de gradient etméthodes stochastiques. En particulier, la plupartdes algorithmes d‘optimisation de structuresont été implémentés dans le logiciel FreeFem d‘éléments finis et les programmes sont disponibleslibrement sur le web.“Conception optimale des structures” is devoted tostructural or shape optimization and is intendedfor a mixed audience of applied mathematicians and mechanicians. It discusses parametric,geometric and topology optimization and givesdeterministic and stochastic numerical algorithms.A. Bensoussan, University of Texas at Dallas,Richardson, TX, USA; G. Da Prato, Scuola NormaleSuperiore, Pisa, Italy; M. C. Delfour, Université deMontréal, Canada; S. K. Mitter, Massachusetts Institute of Technology, Cambridge, MA, USAStochastic GeometryRepresentation and Control ofInfinite-Dimensional SystemsLectures given at the C.I.M.E. Summer Schoolheld in Martina Franca, Italy, September13-18, 2004With contributions by: D. Hug, V. Capasso, E. VillaTarget groupsÉtudiants de Master, chercheurs, ingénieurs,doctorantsContentsCalculs des variations et contrôle optimal; optimisationType of publicationManuel 2ème cycle35A. Baddeley, University of Western Australia,Nedlands, WA, Australia; I. Bárány, University CollegeLondon, UK; R. Schneider, Albert-Ludwigs Universität, Freiburg i. Br., Germany; W. Weil, University ofKarlsruhe, GermanyStochastic Geometry is the mathematical disciplinewhich studies mathematical models for randomgeometric structures, as they appear frequentlyin almost all natural sciences or technical fields.Although its roots can be traced back to the 18thcentury (the Buffon needle problem), the moderntheory of random sets was founded by D. Kendalland G. Matheron in the early 1970‘s. Its rapiddevelopment was influenced by applications inSpatial Statistics and by its close connectionsto Integral Geometry. The volume “StochasticGeometry” contains the lectures given at the CIMEsummer school in Martina Franca in September2004. The four main lecturers covered the areas ofSpatial Statistics, Random Points, Integral Geometry and Random Sets, they are complemented bytwo additional contributions on Random Mosaicsand Crystallization Processes. The book presentsan up-to-date description of important parts ofStochastic Geometry.Field of interestMathematicsSpringer News 9/2006Preface.- A. Baddeley: Spatial Point Processes andtheir Applications.- I. Bárány: Random Polytopes,Convex Bodies, and Approximation.- W. Weil:Random Sets (in Particular Boolean Models).- D.Hug: RandomMosaics.- V. Capaso, E. Villa: On theEvolution Equations of Mean Geometric Densitiesfor a Class of Space and Time InhomogeneousStochastic Birth-and-growth Processes.7 This book is a most welcome addition to theliterature of this field, where it serves the need for amodern treatment on topics that only very recentlyhave found a satisfactory solution. .Many readerswill appreciate the concise exposition. .presents, orrefers to, the most recent and updated results in thefield. For this reason, it should serve as an excellentasset to anyone pursuing a research career in thefield. 7 Mathematical Reviews (reviews of VolumesI and II of the First Edition)This unified revised edition of a two-volume set isa self-contained account of quadratic cost optimalcontrol for a large class of infinite-dimensionalsystems. New material and original features ofthe Second Edition: Part I on finite-dimensionalsystems contains new material. It motivates thebook by providing a reorganized introduction tocontrol of linear systems and a new chapter onlinear quadratic differential games.Features7 Original editions received outstanding reviews7 New edition is more concise and self-contained7 New material has been added to reflect thegrowth in the field over the past decade (e.g.,applications to game theory) 7 A unique chapteron semigroups theory of linear operators bringstogether advanced concepts and techniques thatare usually treated independentlyField of interestSystems Theory, ControlTarget groupsField of interestProbability Theory and Stochastic ProcessesPure and applied mathematicians, graduatestudents, control engineersTarget groupsType of publicationResearchers and graduate studentsGraduate/Advanced undergraduate textbookType of publicationCollection of essaysDue January 2007A paraître octobre 2006Due September 20062007. XII, 294 p. (Mathématiques et Applications,Volume 58) Broché2006. Approx. 300 p. (Lecture Notes in Mathematics /Fondazione C.I.M.E., Firenze, Volume 1892) Softcover2nd ed. 2007. Approx. 568 p. 50 illus. Hardcover7 54,93 42.50ISBN 10 7 3-540-36710-1ISBN 13 7 978-3-540-36710-97 39,95 30.50ISBN 10 7 3-540-38174-0ISBN 13 7 978-3-540-38174-77 approx. 72,00 55.50ISBN 10 7 0-8176-4461-XISBN 13 7 978-0-8176-4461-19 HTOFPA dghbaj 9 HTOFPA dibheh 9 HTLIMH ge gb Originally published in 2 volumes

36Springer News 9/2006MathematicsA. Bermúdez de Castro, D. Gómez, P. Quintela,Universidade de Santiago de Compostela, Spain;P. Salgado, Escola Politécnica Superior, Lugo, Spain(Eds.)Numerical Mathematics andAdvance ApplicationsProceedings of ENUMATH 2005 the 6thEuropean Conference on NumericalMathematics and Advanced Applications,Santiago de Compostela, Spain, July 2005The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH)is a series of meetings held every two years toprovide a forum for discussion on recent aspectsof numerical mathematics and their applications. These proceedings collect the major partof the lectures given at ENUMATH 2005, heldin Santiago de Compostela, Spain, from July 18to 22, 2005. Topics include applications such asfluid dynamics, electromagnetism, structuralmechanics, interface problems, waves, finance, heattransfer, unbounded domains, numerical linearalgebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods,optimization, etc.R. Bix, University of Michigan, Flint, MI, USAConics and CubicsA Concrete Introduction to Algebraic CurvesConics and Cubics is an accessible introductionto algebraic curves. Its focus on curves of degreeat most three keeps results tangible and proofstransparent. Theorems follow naturally from highschool algebra and two key ideas, homogeneouscoordinates and intersection multiplicities.By classifying irreducible cubics over the realnumbers and proving that their points formAbelian groups, the book gives readers easy accessto the study of elliptic curves. It includes a simpleproof of Bezout’s Theorem on the number of intersections of two curves.The book is a text for a one-semester course. Thecourse can serve either as the one undergraduategeometry course taken by mathematics majorsin general or as a sequel to college geometry forprospective or current teachers of secondaryschool mathematics. The only prerequisite is firstyear calculus.The new edition additionally discusses the use ofpower series to parametrize curves and analyzeintersection multiplicities and envelopes.Theoretical and Practical AspectsJust as in its 1st edition, this book starts withillustrations of the ubiquitous character of optimization, and describes numerical algorithms ina tutorial way. It covers fundamental algorithmsas well as more specialized and advanced topicsfor unconstrained and constrained problems.Most of the algorithms are explained in a detailedmanner, allowing straightforward implementation. Theoretical aspects of the approaches chosenare also addressed with care, often using minimalassumptions.This new edition contains computational exercisesin the form of case studies which help understanding optimization methods beyond theirtheoretical, description, when coming to actualimplementation. Besides, the nonsmooth optimization part has been substantially reorganized andexpanded.ContentsComputational Mathematics and NumericalAnalysis7 Attractive subject area described by meansof concrete and accessible examples 7 A largeamount of illustrationsTarget groupsContentsComputational scientistsIntersection of Curves.- Conics.- Cubics.- Intersection Properties.- References.- Index.Type of publicationProceedingsJ. F. Bonnans, J. C. Gilbert, INRIA Rocquencourt, LeChesnay, France; C. Lemaréchal, INRIA Rhône-Alpes,Montbonnot, France; C. A. Sagastizábal, IMPA, Rio deJaneiro, BrazilNumerical OptimizationFeaturesField of interestspringer.com/booksellersField of interestAlgebraic GeometryTarget groupsMath majors, secondary school math teachersType of publicationUndergraduate textbookGeneral Introduction.- Part I: Unconstraint Problems: Basic Methods; Line-Searches; NewtonianMethods; Conjugate Gradient; Special Methods.Part II: Nonsmooth Optimization: Some Theoryof Nonsmooth Optimization; Some Methods inNonsmooth Optimization; Bundle Methods. TheQuest of Decent; Decomposition and Duality.- PartIII: Newton‘s Methods in Constrained Optimization: Background; Local Methods for Problemswith Equality Constraints; Local Methods forProblems with Equality and Inequality Constraints;Exact Penalization; Globalization by Line-Search;Quasi-Newton Versions.- Part IV: Interior-PointAlgorithms for Linear and Quadratic Optimization: Linearly Constrained Optimization andSimplex Algorithm; Linear Monotone Complementary and Associated Vector Fields; PredictorCorrector Algorithms; Non-Feasible Algorithms;Self-Duality; One-Step Methods; Complexity ofLinear Optimization Problems with Integer Data;Karmarkar‘s Algorithm.- References.- Index.Field of interestOperations Research, Mathematical ProgrammingType of publicationGraduate/Advanced undergraduate textbookDue September 2006Due September 2006Due September 20062006. Approx. 1100 p. Hardcover2nd ed. 2006. VIII, 352 p. (Undergraduate Texts in Mathematics) Hardcover2nd ed. 2006. XIV, 423 p. (Universitext) Softcover7 89,95 69.00ISBN 10 7 3-540-34287-7ISBN 13 7 978-3-540-34287-87 46,95 36.00ISBN 10 7 0-387-31802-XISBN 13 7 978-0-387-31802-87 44,95 34.50ISBN 10 7 3-540-35445-XISBN 13 7 978-3-540-35445-19 HTOFPA decihi 9 HTLDTH dbiaci 9 HTOFPA dfe fb

springer.com/booksellersMathematicsSpringer News 9/2006K. Borre, D. M. Akos, N. Bertelsen, P. Rinder,S. H. JensenA Software-Defined GPS andGalileo ReceiverA Single-Frequency ApproachW. Bosma, Radboud Universiteit Nijmegen, TheNetherlands; J. Cannon, University of Sydney, NSW,Australia (Eds.)Discovering Mathematics withMagmaReducing the Abstract to the ConcreteSatellite navigation receivers are used to receiveand decode satellite navigation signals, includingthose provided by the GPS constellation of satellites. There is an increasing need for a unifiedplatform that will enable enhanced receiver development and design, as well as cost-effective testingprocedures for various applications.This book and accompanying DVD explore theuse of such new technologies in the area of satellitenavigation receivers. In order to obtain a reconfigurable receiver with a wide range of applications,the authors discuss receiver architecture based onsoftware-defined radio techniques. The presentation unfolds in a systematic user-friendly style andgoes from the basics to cutting-edge research.Features7 Explores the use of new technologies in the areaof satellite navigation receivers 7 The presentation unfolds in a systematic user-friendly style andgoes from the basics to cutting-edge research7 Presentation of basic signal structures used inGPS and Galileo - the European satellite navigation systemThis volume celebrates the Computer Algebrasystem Magma. With a design based on theontology and semantics of algebra, Magmaenables users to rapidly formulate and performcalculations in the more abstract parts of mathematics. This book introduces the reader to therole Magma plays in advanced mathematicalresearch through 14 case studies which, in mostcases, describe computations underpinning newtheoretical results. The authors were chosen bothfor their expertise in the particular field and fortheir innovative use of Magma. Although by nomeans exhaustive, the topics range from numbertheory and algebraic geometry, via representation theory and group theory to some branches ofdiscrete mathematics and graph theory. A basicintroduction to the Magma language is given in anappendix.N. Bourbaki, Paris, FranceÉléments de MathématiqueL’objet de cet ouvrage est une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.Ce traité est divisé en Livres et chaque Livre enchapitres. Les Livres actuellement publiés sontles suivants: -Théorie des ensembles, -Algèbre,-Topologie générale, -Fonctions d’une variableréelle, -Espaces vectoriels topologiques, -Intégration, -Algèbre commutative, -Variétés différentiables et analytiques, -Groupes et algèbres de Lie,-Théories spectrales.Ouvrage de référence, ce traité a sa place dans labibliothèque de tout mathématicien.Field of interestMathematics, generalTarget groupsChercheurs et étudiantsType of publicationMonographFeatures7 First book on the well-known MAGMAsymbolic computation systemFrom the contents:ContentsPreface.- On GPS and Galileo Signals.- GPSSignal Structure.- Galileo Signal Structure.- FrontEnd Design and Analog Signal Conditioning.Receiver Channel Structure.- Acquisition.- Codeand Carrier Tracking.- Data Processing forPositioning.- Matlab Code.- Problems.- A. TheOriginal Gold Paper.- B. GPS Signal Simulation.Bibliography.- IndexField of interestScientific ComputingTarget groupsMagma: the project. About this volume. Howto read the Magma code?- W.Bosma: Somecomputational experiments in number theory.C.Fieker: Applications of the class field theory ofglobal fields.- N.Bruin: Some ternary Diophantineequations of signature (n,n,2).- W.Stein: Studyingthe Birch and Swinnerton-Dyer conjecture formodular abelian varieties using Magma.- P.B.vanWamelen: Computing with the analytic Jacobianof a genus 2 curve.- G.Brown: Graded rings andspecial K3 surfaces.- D.E.Taylor: Constructingthe split octonions.- J.F.Carlson: Support varietiesfor modules.- J.F.Carlson: When is projectivitydetected on subalgebras?Applied mathematicians, electrical engineers,geodesists, graduate students, or anyone workingwith satellite navigation receiversField of interestType of publicationTarget groupsGraduate/Advanced undergraduate textbookGraduate students and researchers in computeralgebra and symbolic computation37Mathematical

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