Elena Bellomo's Books

The Templar Order in North-west Italy

(1142 - C. 1330)

By: Elena Bellomo

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The Templar Order in North-west Italy

(1142 - C. 1330)

By: Elena Bellomo

Based on extensive archival searches, this book provides the first reconstruction of the Templar presence in North-west Italy giving general insights into the development and organization of the Order in this area and providing an outline of the history of each Templar house.

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Page Count

479

Publisher

BRILL

Published Date

ISBN 10

9004163646

ISBN 13

9789004163645

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

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Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models.The above literature motivates applied mathematicians to study the Cauchy problem and to develop an asymptotic analysis for models regarded as developments of the Boltzmann equation. This book aims to initiate the research plan by the analyzing afore mentioned analysis problems.The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state.The book is essentially devoted to analytic aspects and deals with the analysis of the Cauchy problem and with the development of an asymptotic theory to obtain the macroscopic description from the mesoscopic one.

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Page Count

220

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813106174

ISBN 13

9789813106178

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

By: Elena Guardo,Adam Van Tuyl

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Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

By: Elena Guardo,Adam Van Tuyl

This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P^1 x P^1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial description of ACM points in P^1 x P^1, the bigraded Hilbert function can be computed and, as a result, solve the interpolation problem. In subsequent chapters, they consider fat points and double points in P^1 x P^1 and demonstrate how to use their results to answer questions and problems of interest in commutative algebra. Throughout the book, chapters end with a brief historical overview, citations of related results, and, where relevant, open questions that may inspire future research. Graduate students and researchers working in algebraic geometry and commutative algebra will find this book to be a valuable contribution to the literature.

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Page Count

136

Publisher

Birkhäuser

Published Date

ISBN 10

3319241664

ISBN 13

9783319241661

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

By: Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael Shapiro,Daniele C. Struppa

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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

By: Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael Shapiro,Daniele C. Struppa

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.

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Page Count

107

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3319051105

ISBN 13

9783319051109

The Templar Order in North-west Italy

(1142 - C. 1330)

By: Elena Bellomo

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The Templar Order in North-west Italy

(1142 - C. 1330)

By: Elena Bellomo

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Solve jigsaw puzzle

Age

Page Count

479

Publisher

BRILL

Published Date

ISBN 10

9004163646

ISBN 13

9789004163645

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

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Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

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Solve jigsaw puzzle

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Page Count

220

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813106174

ISBN 13

9789813106178

Selected Topics in Cancer Modeling

Genesis, Evolution, Immune Competition, and Therapy

By: Nicola Bellomo,Elena de Angelis

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Selected Topics in Cancer Modeling

Genesis, Evolution, Immune Competition, and Therapy

By: Nicola Bellomo,Elena de Angelis

This collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include stochastic evolutionary models of cancer initiation and progression, tumor cords and their response to anticancer agents, and immune competition in tumor progression and prevention. The complexity of modeling living matter requires the development of new mathematical methods and ideas. This volume, written by first-rate researchers in the field of mathematical biology, is one of the first steps in that direction.

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Page Count

481

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817647139

ISBN 13

9780817647131

Book's by Elena Bellomo

The Templar Order in North-west Italy

The Templar Order in North-west Italy

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

The Templar Order in North-west Italy

The Templar Order in North-west Italy

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Selected Topics in Cancer Modeling

Selected Topics in Cancer Modeling

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