Alexander M. Bronstein's Books

Numerical Geometry of Non-Rigid Shapes

By: Alexander M. Bronstein,Michael M. Bronstein,Ron Kimmel

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Numerical Geometry of Non-Rigid Shapes

By: Alexander M. Bronstein,Michael M. Bronstein,Ron Kimmel

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention several - are applied to find solutions. This book gives an overview of the current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. The presentation unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow at the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text. This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It may be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.

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Page Count

346

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387733019

ISBN 13

9780387733012

Analysis for Computer Scientists

Foundations, Methods, and Algorithms

By: Michael Oberguggenberger,Alexander Ostermann

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Analysis for Computer Scientists

Foundations, Methods, and Algorithms

By: Michael Oberguggenberger,Alexander Ostermann

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material. Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.

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Page Count

372

Publisher

Springer

Published Date

ISBN 10

3319911554

ISBN 13

9783319911557

Proceedings of the Dirac Centennial Symposium

Florida State University, Tallahassee, USA, 6-7 December 2002

By: Howard Baer,Paul Adrien Maurice Dirac,Alexander Belyaev

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Proceedings of the Dirac Centennial Symposium

Florida State University, Tallahassee, USA, 6-7 December 2002

By: Howard Baer,Paul Adrien Maurice Dirac,Alexander Belyaev

Paul Adrian Maurice Dirac (1902-84) is one of the icons of modern physics. His work provided the mathematical foundations of quantum mechanics. He also made key contributions to quantum field theory and quantum statistical mechanics. He is perhaps best known for formulating the Dirac equation, a relativistic wave equation which described the properties of the electron, and also predicted the existence of anti-matter. The Dirac Centennial Symposium commemorated the contributions of Dirac to all areas of physics, and assessed their impact on frontier research. This book constitutes the proceedings of the symposium, containing articles by Leopold Halpern, Pierre Ramond, Frank Wilczek, Maurice Goldhaber, Jonathan Bagger, Joe Lykken, Roman Jackiw, Stanley Deser, Joe Polchinski, Andre Linde and others. A special contribution from Dirac's daughter Monica Dirac presents a portrait of Paul Dirac as father and family man.

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Page Count

197

Publisher

World Scientific

Published Date

ISBN 10

9812703993

ISBN 13

9789812703996

Book's by Alexander M. Bronstein

Numerical Geometry of Non-Rigid Shapes

Numerical Geometry of Non-Rigid Shapes

Analysis for Computer Scientists

Analysis for Computer Scientists

Proceedings of the Dirac Centennial Symposium

Proceedings of the Dirac Centennial Symposium

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