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This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
This book introduces the exciting field of orthobiology, which will usher in a new array of therapeutic approaches that stimulate the body’s natural resources to regenerate musculoskeletal tissues damaged by trauma or disease. The book addresses a range of key topics and discusses emerging approaches that promise to offer effective alternatives to traditional treatments for injuries to bone, cartilage, muscles, ligaments, and tendons. It explains in detail how a variety of innovative products, including biomaterials, growth factors, and autogenous cells, together provide the basis for the regeneration of these musculoskeletal structures and how recent scientific progress has created unique opportunities to address pathological situations that until recently have been treated with unsatisfactory results. The authors are experts from across the world who come together to provide a truly global overview. The book is published in collaboration with ISAKOS. It will be invaluable for all with an interest in this area of medicine, which has already attained huge popularity in Orthopaedics and Sports Medicine and has also attracted the attention of the lay public.
This volume presents detailed information on surgically relevant anatomy and histology of the anterior cruciate ligament (ACL), biomechanics, diagnostics, and ACL reconstruction. In light of the growing body of evidence demonstrating the advantages of anatomic ACL reconstruction over traditional methods, there are also discussions of single anteromedial bundle reconstruction and anatomic ACL reconstruction with abundant descriptions of experimental and clinical studies. In addition, particular attention is given not only to techniques such as ACL augmentation, bone-patella tendon-bone reconstruction and computer-assisted navigation, but it also presents expert analysis of revision of ACL rec...
This book employs a wealth of high-quality illustrations to provide the reader with a detailed understanding of the anatomy and the histology of the cartilage, the etiology and the classification of the cartilage lesions, and the numerous techniques employed for cartilage repair. Detailed attention is devoted to healthy cartilage, to each stage in the degenerative process, and to the response of the cartilage to the treatment. Imaging of the damaged and the repaired cartilage, as well as the information on the biomechanics are provided in great detail. The chapters on the techniques cover a wide range of approaches: marrow stimulation techniques, osteochondral cylinder transfer techniques, f...
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Covering all state-of-the-art experimental research methods in orthopedic surgery and trauma From bioinformatics to nanotechnology, advances in basic research ultimately drive advances in clinical care. This book provides a comprehensive summary of all current research methodologies for translational and pre-clinical studies in biomechanics and orthopedic trauma surgery. With this "roadmap" at hand, specialists and trainees will have the tools to conduct high-quality experimental research in any area of musculoskeletal science, with a solid understanding of how the findings can be applied in patient care. Special Features: Utilizes the principles and methodology of modern, evidence-based med...
For 50 years, samurai movies have wowed the Japanese and the world with gory sword fights and tear-jerking tales of honor and sacrifice. From Kurosawa's Seven Samurai to anime's Samurai X, this first-ever collection of original samurai movie art pays tribute to a cinematic genre that is truly Japanese. Silver Screen Samurai is a must-have for samurai fans, movie-buffs and lovers of poster art!