Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF Author: Stefan Jackowski
Publisher: Springer
ISBN: 354047403X
Category : Mathematics
Languages : en
Pages : 404

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Book Description
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.

Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF Author: Stefan Jackowski
Publisher: Springer
ISBN: 354047403X
Category : Mathematics
Languages : en
Pages : 404

Get Book

Book Description
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.

Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF Author: Stefan Jackowski
Publisher:
ISBN: 9783662174814
Category :
Languages : en
Pages : 412

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Book Description


Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF Author: Stefan Jackowski
Publisher: Springer
ISBN: 9783540540984
Category : Mathematics
Languages : en
Pages : 0

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Book Description
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.

Mathematical Methods in Tomography

Mathematical Methods in Tomography PDF Author: Gabor T. Herman
Publisher: Springer
ISBN: 3540466150
Category : Medical
Languages : en
Pages : 279

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Book Description
The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P.Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V.Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P.Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P.Grassin,B.Duchene,W.Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A.Gr}nbaum: Diffuse tomography: a re- fined model -R.Kress,A.Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K.Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y.Censor: On variable block algebraic reconstruction techniques -P.P.Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems

Coding Theory and Algebraic Geometry

Coding Theory and Algebraic Geometry PDF Author: Henning Stichtenoth
Publisher: Springer
ISBN: 3540472673
Category : Mathematics
Languages : en
Pages : 235

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Book Description
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.

Potential Theory on Infinite Networks

Potential Theory on Infinite Networks PDF Author: Paolo M. Soardi
Publisher: Springer
ISBN: 3540487980
Category : Mathematics
Languages : en
Pages : 199

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Book Description
The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

The Development of the Number Field Sieve

The Development of the Number Field Sieve PDF Author: Arjen K. Lenstra
Publisher: Springer Science & Business Media
ISBN: 9783540570134
Category : Mathematics
Languages : en
Pages : 152

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Book Description
The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

Real and Etale Cohomology

Real and Etale Cohomology PDF Author: Claus Scheiderer
Publisher: Springer
ISBN: 3540487972
Category : Mathematics
Languages : en
Pages : 300

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Book Description
This book makes a systematic study of the relations between the étale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, étale cohomology is cohomology of the real spectrum. It also contains new contributions in group cohomology and in topos theory. It is of interest to graduate students and researchers who work in algebraic geometry (not only real) and have some familiarity with the basics of étale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory.

On Artin's Conjecture for Odd 2-dimensional Representations

On Artin's Conjecture for Odd 2-dimensional Representations PDF Author: Gerhard Frey
Publisher: Springer
ISBN: 354048681X
Category : Mathematics
Languages : en
Pages : 160

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Book Description
The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.

A Survey of Knot Theory

A Survey of Knot Theory PDF Author: Akio Kawauchi
Publisher: Birkhäuser
ISBN: 3034892276
Category : Mathematics
Languages : en
Pages : 431

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Book Description
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.