Mario Garcia-Fernandez's Books

Generalized Ricci Flow

By: Mario Garcia-Fernandez,Jeffrey Streets

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Generalized Ricci Flow

By: Mario Garcia-Fernandez,Jeffrey Streets

The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and formulates open questions and conjectures for future study. The text begins with an introduction to fundamental aspects of generalized Riemannian, complex, and Kähler geometry. This leads to an extension of the classical Einstein-Hilbert action, which yields natural extensions of Einstein and Calabi-Yau structures as ‘canonical metrics’ in generalized Riemannian and complex geometry. The book then introduces generalized Ricci flow as a tool for constructing such metrics and proves extensions of the fundamental Hamilton/Perelman regularity theory of Ricci flow. These results are refined in the setting of generalized complex geometry, where the generalized Ricci flow is shown to preserve various integrability conditions, taking the form of pluriclosed flow and generalized Kähler-Ricci flow, leading to global convergence results and applications to complex geometry. Finally, the book gives a purely mathematical introduction to the physical idea of T-duality and discusses its relationship to generalized Ricci flow. The book is suitable for graduate students and researchers with a background in Riemannian and complex geometry who are interested in the theory of geometric evolution equations.

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Page Count

248

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470462583

ISBN 13

9781470462581

Diastology E-Book

Clinical Approach to Diastolic Heart Failure

By: Allan L. Klein,Mario J. Garcia

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Diastology E-Book

Clinical Approach to Diastolic Heart Failure

By: Allan L. Klein,Mario J. Garcia

This reference thoroughly equips you to successfully diagnose and manage even the most complex incidences of diastolic heart failure and their comorbidities. It examines the basic mechanisms of this condition through discussions of both cellular and anatomic causes; guides you through non-invasive techniques for diagnosis, including echocardiography, cardiac CT, and MRI; and provides expert advice on pharmacologic management. Covers the basic mechanisms of diastolic heart problems from both cellular and anatomic perspectives. Chapters covering modalities helpful in assessment of diastolic function such as: echocardiography, cardiac MRI, radionuclide ventriculography, and invasive hemodynamic measurements. Features in-depth assessments of all diagnostic methods for diastolic heart failure, including rationales for their use. Examines contributing conditions that play a role in diastolic heart failure and offers guidance on their management. Offers pharmacologic strategies for multiple problem management.

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Page Count

473

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1437711006

ISBN 13

9781437711004

NonInvasive Cardiovascular Imaging: A Multimodality Approach

By: Mario J. Garcia

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NonInvasive Cardiovascular Imaging: A Multimodality Approach

By: Mario J. Garcia

This textbook covers the fundamental principles of cardiovascular imaging modalities and their applications for the diagnosis of cardiovascular diseases. The main focus is on the comprehensive diagnosis of clinical conditions/disease entities through the most effective cardiovascular imaging test or combination. The authors discuss the clinical utility and relative value of each test to address specific clinical questions, based on evidence and expert opinion. Each chapter presents information in the following format: overview, discussion of pathophysiology; differential diagnosis/diagnostic evaluation; prognosis; therapeutic guidance with illustration of treatment pathway. A companion Website will offer the full text, ten multiple-choice questions for each chapter, still and cine images, and imaging clips.

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Page Count

768

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1451148526

ISBN 13

9781451148527

Book's by Mario Garcia-Fernandez

Generalized Ricci Flow

Generalized Ricci Flow

Diastology E-Book

Diastology E-Book

NonInvasive Cardiovascular Imaging: A Multimodality Approach

NonInvasive Cardiovascular Imaging: A Multimodality Approach

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