Boris A. Rosenfeld's Books

A History of Non-Euclidean Geometry

Evolution of the Concept of a Geometric Space

By: Boris A. Rosenfeld

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A History of Non-Euclidean Geometry

Evolution of the Concept of a Geometric Space

By: Boris A. Rosenfeld

The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.

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Page Count

481

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441986804

ISBN 13

9781441986801

Conformal Geometry of Discrete Groups and Manifolds

By: Boris Nikolaevich Apanasov

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Conformal Geometry of Discrete Groups and Manifolds

By: Boris Nikolaevich Apanasov

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Page Count

556

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110144042

ISBN 13

9783110144048

Tribology and Fundamentals of Abrasive Machining Processes

By: Bahman Azarhoushang,Ioan D. Marinescu,W. Brian Rowe,Boris Dimitrov,Hitoshi Ohmori

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Tribology and Fundamentals of Abrasive Machining Processes

By: Bahman Azarhoushang,Ioan D. Marinescu,W. Brian Rowe,Boris Dimitrov,Hitoshi Ohmori

This new edition draws upon the fundamentals of abrasive machining processes and the science of tribology to understand, predict, and improve abrasive machining processes. Each of the main elements of the abrasive machining system is looked at alongside the tribological factors that control the efficiency and quality of the processes described. The new edition has been updated to include a variety of industrial applications. Grinding and conditioning of grinding tools are dealt with in particular detail, and solutions are proposed for many of the most commonly experienced industrial problems, such as poor accuracy, poor surface quality, rapid tool wear, vibrations, workpiece burn, and high process costs. The entire book has been rewritten and restructured, with ten completely new chapters. Other new features include: - Extensive explanations of the main abrasive machining processes such as grinding (including reciprocating and creep-feed grinding, high-speed high-efficiency deep grinding, external and internal cylindrical grinding, and centerless grinding), honing, superfinishing, lapping, polishing, and finishing - Discussions of the new classes of abrasives, abrasive tools, and bonding materials - New case studies and troubleshooting on the most common grinding practices - New coverage on grinding tool conditioning, mechanical dressing, and nonmechanical dressing processes - Detailed explanations of the effects of process input parameters (such as cutting parameters, workpiece material and geometry, and abrasive tools) on process characteristics, workpiece quality, tool wear, and process parameters (such as cutting forces and temperature as well as achievable material removal rate) - Updated topics regarding process fluids for abrasive machining and fluid delivery

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Page Count

772

Publisher

William Andrew

Published Date

ISBN 10

0128237783

ISBN 13

9780128237786

Multi-Criteria Decision Analysis

Case Studies in Engineering and the Environment

By: Igor Linkov,Emily Moberg,Benjamin D. Trump,Boris Yatsalo,Jeffrey M. Keisler

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Multi-Criteria Decision Analysis

Case Studies in Engineering and the Environment

By: Igor Linkov,Emily Moberg,Benjamin D. Trump,Boris Yatsalo,Jeffrey M. Keisler

Decision analysis has become widely recognized as an important process for translating science into management actions. With climate change and other systemic threats as driving forces in creating environmental and engineering problems, there is a great need for understanding decision making frameworks through a case-study based approach. Management of environmental and engineering projects is often complicated and multidisciplinary in scope and nature, thus issues that arise can be difficult to solve analytically. Multi-Criteria Decision Analysis: Case Studies in Engineering and the Environment provides detailed description of MCDA methods and tools and illustrates their applications through case studies focused on sustainability and system engineering applications. New in the Second Edition: Addresses current and emerging environmental and engineering problems Includes seven new case studies to illustrate different management situations applicable at the international level Builds on real case studies from recent and relevant environmental and engineering management experience Describes advanced MCDA techniques and extensions used by practitioners Provides corresponding decision models implemented using the DECERNS software package Gives a more holistic approach to teaching MCDA methodology with a focus on sustainable solutions and adoption of new technologies, including nanotechnology and synthetic biology Given the novelty and inherent applicability of this decision-making framework to the environmental and engineering fields, a greater number of teaching tools for this topic need to be made available. This book provides those teaching tools, covering the breadth of the applications of MCDA methodologies with clear explanations of the MCDA process. The case studies are implemented in the DECERNS software package, allowing readers to experiment and explore and to understand the full process by which environmental managers assess these problems. This book is a great resource for professionals and students seeking to learn decision analysis techniques and apply similar frameworks to environmental and engineering projects

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Page Count

421

Publisher

CRC Press

Published Date

ISBN 10

1000177785

ISBN 13

9781000177787

Dynamics of Discrete Group Action

By: Boris N. Apanasov

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Dynamics of Discrete Group Action

By: Boris N. Apanasov

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.

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Page Count

714

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110784130

ISBN 13

9783110784138

Elie Cartan (1869-1951)

By: Maks Aĭzikovich Akivis,Boris Abramovich Rozenfelʹd

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Elie Cartan (1869-1951)

By: Maks Aĭzikovich Akivis,Boris Abramovich Rozenfelʹd

This book describes the life and achievements of the great french mathematician, Élie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential geometry, as well as later developments stemming from his ideas. The volume includes a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.

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Page Count

372

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082184587X

ISBN 13

9780821845875

A History of Non-Euclidean Geometry

Evolution of the Concept of a Geometric Space

By: Boris A. Rosenfeld

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A History of Non-Euclidean Geometry

Evolution of the Concept of a Geometric Space

By: Boris A. Rosenfeld

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Write a review

Solve jigsaw puzzle

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Page Count

481

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441986804

ISBN 13

9781441986801

Book's by Boris A. Rosenfeld

A History of Non-Euclidean Geometry

A History of Non-Euclidean Geometry

Conformal Geometry of Discrete Groups and Manifolds

Conformal Geometry of Discrete Groups and Manifolds

Tribology and Fundamentals of Abrasive Machining Processes

Tribology and Fundamentals of Abrasive Machining Processes

Multi-Criteria Decision Analysis

Multi-Criteria Decision Analysis

Dynamics of Discrete Group Action

Dynamics of Discrete Group Action

Elie Cartan (1869-1951)

Elie Cartan (1869-1951)

A History of Non-Euclidean Geometry

A History of Non-Euclidean Geometry

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