Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.
Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.
The gold-standard text on the diagnosis and treatment of disorders affecting the elderly – completely updated with a new full-color presentation A Doody's Core Title for 2021! The definitive treatise on the subject of geriatrics, this comprehensive text combines gerontology principles with clinical geriatrics, offering a uniquely holistic approach to this ever-expanding area of medicine. Written by some of the world’s most respected geriatricians, Hazzard’s Geriatric Medicine and Gerontology, Seventh Edition presents up-to-date, evidence-based information in a rich new full-color design. Unmatched as a textbook, this classic is also valuable to fellows in geriatric medicine. Hazzards’s Geriatric Medicine and Gerontology, Seventh Edition is logically divided into five parts: Principles of Gerontology, Principles of Geriatrics, Geriatric Syndromes, Principles of Palliative Medicine, and Organ Systems and Diseases. Within its pages, you will find balanced, authoritative coverage of every essential topic – from evaluation and management to nutrition and palliative medicine. Here’s why the Seventh Edition is the best edition ever: NEW full-color design with hundreds of color photographs NEW chapters: Quality of Care in Older Adults, Common Non-Pain Symptoms in Older Adults, Strategies of Effective Communication Around Advanced Illness, Palliative Medicine in the Continuum of Care Including Hospice, Coagulation Disorders, and Plasma Cell Disorders MORE chapters on Palliative Medicine NEW Learning Objectives and Key Points added to each chapter MORE tables, drawings, and clinical algorithms EVIDENCE-BASED through the use of the latest clinical practice guidelines , references to systemic reviews, and critically appraised topics UPDATED to reflect the most current clinical breakthroughs and advances for managing older adults in various settings
Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
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