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Polynomials and Vanishing Cycles
  • Language: en
  • Pages: 13

Polynomials and Vanishing Cycles

The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.

Surgery of the Meniscus
  • Language: en
  • Pages: 565

Surgery of the Meniscus

  • Type: Book
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  • Published: 2016-03-29
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  • Publisher: Springer

​This book, published in cooperation with ESSKA, provides an exhaustive review of the meniscus and its pathology, covering all aspects from the basic science of the normal meniscus to clinical and imaging diagnosis, meniscus repair and meniscectomy, outcomes and complications, postoperative management, and emerging technologies. The book opens by examining in depth aspects such as anatomy, histology, physiology, biomechanics, and physiopathology. Clear guidance is offered on arthroscopy and the classification of meniscal lesions, with consideration of the full range of meniscal pathology, including traumatic lesions, degenerative lesions, root tears, meniscal cysts, and congenital lesions. Choice of treatment in different settings is explained, and the various surgical techniques – meniscectomy, meniscal repair, and reconstruction with allografts – are described in detail with the aid of accompanying videos and with presentation of long-term results. The concluding chapter takes a look into the future of meniscus reconstruction, for example through regeneration using mesenchymal stem cells.

Revista matematicǎ din Timișoara
  • Language: ro
  • Pages: 400

Revista matematicǎ din Timișoara

  • Type: Book
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  • Published: 1932
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  • Publisher: Unknown

None

Vector Fields on Singular Varieties
  • Language: en
  • Pages: 242

Vector Fields on Singular Varieties

Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.

Internet and Society
  • Language: en
  • Pages: 406

Internet and Society

  • Type: Book
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  • Published: 2007-12-12
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  • Publisher: Routledge

By outlining a social theory of the internet and the information society, this book demonstrates how the ecological, economic, political and cultural systems of contemporary society have been transformed by new information and communication technologies.

Singular Points of Plane Curves
  • Language: en
  • Pages: 386

Singular Points of Plane Curves

Publisher Description

The Aesthetics of Paradoxism (criticism)
  • Language: ro
  • Pages: 100

The Aesthetics of Paradoxism (criticism)

None

Congenital Anomalies
  • Language: en
  • Pages: 546

Congenital Anomalies

Nowadays, nobody can imagine practicing obstetrics without using obstetrical ultrasound. Working in the prenatal diagnosis field requires dedication, patience, skills, experience, caution, and empathy. The concept of this book was guided by the desire to provide some help to the ultrasound operators. On a daily basis, they are confronted with the challenging task of ruling out or suspecting/confirming the diagnosis of fetal anomalies, either structural or chromosomal. The chapters of this book contain objective and exhaustive updated reviews of the pertinent literature, so that the reader would have a wide reference basis on each subject. Yet, many authors scan the fetus themselves or are directly involved with managing pregnancies with structural malformations or chromosomal anomalies. They kindly shared their personal experience and lessons learned over the years. This book is beneficial for all the professionals working in the prenatal diagnosis.

Therapeutic Exercise for Musculoskeletal Injuries
  • Language: en
  • Pages: 1168

Therapeutic Exercise for Musculoskeletal Injuries

Therapeutic Exercise for Musculoskeletal Injuries, Fourth Edition With Online Video, presents foundational information that instills a thorough understanding of rehabilitative techniques. Updated with the latest in contemporary science and peer-reviewed data, this edition prepares upper-undergraduate and graduate students for everyday practice while serving as a referential cornerstone for experienced rehabilitation clinicians. The text details what is happening in the body, why certain techniques are advantageous, and when certain treatments should be used across rehabilitative time lines. Accompanying online video demonstrates some of the more difficult or unique techniques and can be used...

Trends in Singularities
  • Language: en
  • Pages: 262

Trends in Singularities

The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane c...