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Advanced Topics in Computational Number Theory, Henri Cohen


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Автор: Henri Cohen
Название:  Advanced Topics in Computational Number Theory
ISBN: 9781461264194
Издательство: Springer
Классификация:

ISBN-10: 1461264197
Обложка/Формат: Paperback
Страницы: 581
Вес: 0.83 кг.
Дата издания: 13.10.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 31
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com- pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. Even though some practical problems still exist, one can consider the subject as solved in a satisfactory manner, and it is now routine to ask a specialized Computer Algebra Sys- tem such as Kant/Kash, liDIA, Magma, or Pari/GP, to perform number field computations that would have been unfeasible only ten years ago. The (very numerous) algorithms used are essentially all described in A Course in Com- putational Algebraic Number Theory, GTM 138, first published in 1993 (third corrected printing 1996), which is referred to here as CohO]. That text also treats other subjects such as elliptic curves, factoring, and primality testing. Itis important and natural to generalize these algorithms. Several gener- alizations can be considered, but the most important are certainly the gen- eralizations to global function fields (finite extensions of the field of rational functions in one variable overa finite field) and to relative extensions ofnum- ber fields. As in CohO], in the present book we will consider number fields only and not deal at all with function fields.


Computational Excursions in Analysis and Number Theory

Автор: Borwein Peter
Название: Computational Excursions in Analysis and Number Theory
ISBN: 0387954449 ISBN-13(EAN): 9780387954448
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.

Computational Number Theory and Modern Cryptography

Автор: Yan Song Y
Название: Computational Number Theory and Modern Cryptography
ISBN: 1118188586 ISBN-13(EAN): 9781118188583
Издательство: Wiley
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Цена: 13139.00 р.
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Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .

Computational Homology

Автор: Kaczynski
Название: Computational Homology
ISBN: 0387408533 ISBN-13(EAN): 9780387408538
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Uses the computer to take a combinatorial computational approach to homological problems. This interdisciplinary book is aimed at researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.

Computational topology

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Цена: 8704.00 р.
Наличие на складе: Нет в наличии.

Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.

Computational Oriented Matroids

Автор: Juergen G. Bokowski
Название: Computational Oriented Matroids
ISBN: 0521849306 ISBN-13(EAN): 9780521849302
Издательство: Cambridge Academ
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Цена: 11722.00 р.
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Описание: The combination of concrete applications and computation, the profusion of illustations, and the large number of examples and exercises will make this an ideal introductory text on the subject.. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

Computational Homology

Автор: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mr
Название: Computational Homology
ISBN: 1441923543 ISBN-13(EAN): 9781441923547
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing.

Effective Computational Geometry for Curves and Surfaces

Автор: Jean-Daniel Boissonnat; Monique Teillaud
Название: Effective Computational Geometry for Curves and Surfaces
ISBN: 3642069878 ISBN-13(EAN): 9783642069871
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Coverage includes references to open source software and discussion of potential applications of the presented techniques.

Computational Structural Analysis and Finite Element Methods

Автор: A. Kaveh
Название: Computational Structural Analysis and Finite Element Methods
ISBN: 3319029630 ISBN-13(EAN): 9783319029634
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This book covers application of graph theory for efficient analysis; the force method extended to finite element analysis; meta-heuristic algorithms applied to ordering; efficient use of symmetry and regularity in structural analysis by force method; and more.

Computational Methods for Three-Dimensional Microscopy Recon

Название: Computational Methods for Three-Dimensional Microscopy Recon
ISBN: 1461495202 ISBN-13(EAN): 9781461495208
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Computational Methods for Three-Dimensional Microscopy Reconstruction

Advanced Topics in Computational Number Theory

Автор: Henri Cohen
Название: Advanced Topics in Computational Number Theory
ISBN: 0387987274 ISBN-13(EAN): 9780387987279
Издательство: Springer
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Цена: 9362.00 р.
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Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.

Computational Diffusion MRI

Автор: Andrea Fuster; Aurobrata Ghosh; Enrico Kaden; Yoge
Название: Computational Diffusion MRI
ISBN: 3319541293 ISBN-13(EAN): 9783319541297
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

The MR Physics of Advanced Diffusion Imaging: Matt Hall.- Noise Floor Removal via Phase Correction of Complex Diffusion-Weighted Images: Influence on DTI and q-Space Metrics: M. Pizzolato et al.- Regularized Dictionary Learning with Robust Sparsity Fitting for Compressed Sensing Multishell HARDI: K. Gupta et al.- Denoising Diffusion-Weighted Images Using Grouped Iterative Hard Thresholding of Multi-Channel Framelets: Jian Zhang et al.- Diffusion MRI Signal Augmentation - From Single Shell to Multi Shell with Deep Learning: S. Koppers et al.- Multi-Spherical Diffusion MRI: Exploring Diffusion Time Using Signal Sparsity: R.H.J. Fick et al.- Sensitivity of OGSE ActiveAx to Microstructural Dimensions on a Clinical Scanner: L.S. Kakkar et al.- Groupwise Structural Parcellation of the Cortex: A Sound Approach Based on Logistic Models: G. Gallardo et al.- Robust Construction of Diffusion MRI Atlases with Correction for Inter-Subject Fiber Dispersion: Z. Yang et al.- Parcellation of Human Amygdala Subfields Using Orientation Distribution Function and Spectral K-means Clustering: Q. Wen et al.- Sparse Representation for White Matter Fiber Compression and Calculation of Inter-Fiber Similarity: G. Zimmerman Moreno et al.- An Unsupervised Group Average Cortical Parcellation using Diffusion MRI to Probe Cytoarchitecture: T. Ganepola et al.- Using multiple Diffusion MRI Measures to Predict Alzheimer's Disease with a TV-L1 Prior: J.E. Villalon-Reina et al.- Accurate Diagnosis of SWEDD vs. Parkinson Using Microstructural Changes of Cingulum Bundle: Track-Specific Analysis: F. Rahmani et al.- Colocalization of Functional Activity and Neurite Density within Cortical Areas: A. Teillac et al.- Comparison of Biomarkers in Transgenic Alzheimer Rats Using Multi-shell Diffusion MRI: R.H.J. Fick.- Working Memory Function in Recent-onset Schizophrenia Patients Associated with White Matter Microstructure: Connectometry Approach: M. Dolatshahi et al.

Modular Forms: A Classical and Computational Introduction: 2nd Edition

Автор: Kilford Lloyd J. P.
Название: Modular Forms: A Classical and Computational Introduction: 2nd Edition
ISBN: 1783265450 ISBN-13(EAN): 9781783265459
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators.


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