Geometric Methods and Applications

Geometric Methods and Applications PDF Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 1461301378
Category : Mathematics
Languages : en
Pages : 584

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Book Description
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Geometric Methods and Applications

Geometric Methods and Applications PDF Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 1461301378
Category : Mathematics
Languages : en
Pages : 584

Get Book Here

Book Description
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Revue Roumaine de Mathématiques Pures Et Appliquées

Revue Roumaine de Mathématiques Pures Et Appliquées PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 948

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Book Description


Compléments de Géometrie descriptive

Compléments de Géometrie descriptive PDF Author: Théodore Olivier
Publisher:
ISBN:
Category :
Languages : en
Pages : 78

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Book Description


Clifford Algebras and Their Application in Mathematical Physics

Clifford Algebras and Their Application in Mathematical Physics PDF Author: Volker Dietrich
Publisher: Springer Science & Business Media
ISBN: 9401150362
Category : Mathematics
Languages : en
Pages : 458

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Book Description
Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.

Arakelov Geometry and Diophantine Applications

Arakelov Geometry and Diophantine Applications PDF Author: Emmanuel Peyre
Publisher: Springer Nature
ISBN: 3030575594
Category : Mathematics
Languages : en
Pages : 469

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Book Description
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.

Linear Algebra: Examples And Applications

Linear Algebra: Examples And Applications PDF Author: Alain M Robert
Publisher: World Scientific Publishing Company
ISBN: 9813101962
Category : Mathematics
Languages : en
Pages : 387

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Book Description
This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications. It is intended for students with various interests in mathematics, as well as established scientists seeking to refresh their basic mathematical culture.The book is also a good introduction to functional analysis and quantum theory since it discusses the general principles of linear algebra without finiteness assumptions.

Mathematical Knowledge, Objects and Applications

Mathematical Knowledge, Objects and Applications PDF Author: Carl Posy
Publisher: Springer Nature
ISBN: 3031216555
Category : Mathematics
Languages : en
Pages : 404

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Book Description
This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.

French Bibliographical Digest

French Bibliographical Digest PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 868

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Rigidity in Dynamics and Geometry

Rigidity in Dynamics and Geometry PDF Author: Marc Burger
Publisher: Springer Science & Business Media
ISBN: 3662047438
Category : Mathematics
Languages : en
Pages : 494

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Book Description
This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.

Annales Scientifiques de L'École Normale Supérieure

Annales Scientifiques de L'École Normale Supérieure PDF Author: École normale supérieure (France)
Publisher:
ISBN:
Category : Electronic journals
Languages : fr
Pages : 636

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Book Description