Richard Bernatz's Books

Fourier Series and Numerical Methods for Partial Differential Equations

By: Richard Bernatz

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Fourier Series and Numerical Methods for Partial Differential Equations

By: Richard Bernatz

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: The solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs The concept of completeness, which introduces readers to Hilbert spaces The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions The finite element method, using finite dimensional subspaces The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.

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Page Count

336

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470651377

ISBN 13

9780470651377

Thoracic Imaging

Pulmonary and Cardiovascular Radiology

By: W. Richard Webb,Charles B. Higgins

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Thoracic Imaging

Pulmonary and Cardiovascular Radiology

By: W. Richard Webb,Charles B. Higgins

Written by two of the world's most respected specialists in thoracic imaging, this volume is the most comprehensive text-reference to address imaging of the heart and lungs. This edition has a new full-color design and many full-color images, including PET-CT.

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Page Count

940

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1605479764

ISBN 13

9781605479767

General Thoracic Surgery

By: Thomas W. Shields,Joseph LoCicero,Carolyn E. Reed,Richard H. Feins

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General Thoracic Surgery

By: Thomas W. Shields,Joseph LoCicero,Carolyn E. Reed,Richard H. Feins

Long considered the bible of thoracic surgery, this comprehensive two-volume textbook guides you through virtually every open and endoscopic surgical technique with expert commentary by the leaders in thoracic surgery from around the world. Coverage includes extensive sections on lung cancer and other pulmonary tumors. All facets of thoracic disease are covered from anatomy and embryology to diagnostics, including extensive radiological sections. Multidisciplinary contributions on medical treatment, radiation oncology, and surgery and anesthesia are included. Highlights include new material on minimally invasive procedures and thoroughly updated diagnostic and treatment information. Operative checklists are included in procedural chapters, and procedures are presented as bulleted to-do lists wherever possible. A companion Website will offer the fully searchable text with all images and video clips of selected procedures.

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Page Count

2664

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1451152787

ISBN 13

9781451152784

Ethiopia Photographed

Historic Photographs of the Country and its People Taken Between 1867 and 1935

By: Richard Pankhurst

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Ethiopia Photographed

Historic Photographs of the Country and its People Taken Between 1867 and 1935

By: Richard Pankhurst

Following the very successful Ethiopia Engraved, an illustrated book of engravings by foreign travellers from 1681 to 1900, Ethiopia Photographed covers the period from the inception of photography in the country up to the Italian Fascist invasion in 1936. The people, terrain, buildings and rulers of Ethiopia - such as Emperor Melenik, Lej Iyasu and Emperor Haile Selassie - make it a highly photogenic country, as this lavishly illustrated book reveals. Situated in lofty, often inaccessible mountains between the Red Sea and the Blue Nile, and extending far into the Horn of Africa, it is a complex and mysterious country which as always exercised an extraordinary fascination for the outside world. The book begins with an introduction which gives a brief history of Ethiopia in this period, and describes the role of photography at this time. The richly captured images of Ethiopia Photographed bear witness to many personalities and places not previously seen and, in many cases, now lost for all time but for the photogenic memories recorded here.

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Page Count

435

Publisher

Routledge

Published Date

ISBN 10

1136786104

ISBN 13

9781136786105

The Ethiopian Borderlands

Essays in Regional History from Ancient Times to the End of the 18th Century

By: Richard Pankhurst

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The Ethiopian Borderlands

Essays in Regional History from Ancient Times to the End of the 18th Century

By: Richard Pankhurst

This book is an historical investigative account of the history of the expanding and often nebulous borders of Ethiopia, beginning from ancient times to 1800. It deals with areas that have for years been contentious and problematic for the adjacent peoples in the region: Land of Bahr Nagash, Ifat, Adal, Fatagar, Dawaro, Bali, Damot, Gurage, Waj, Gamo, Ganz, Kafa, etc.

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Page Count

512

Publisher

The Red Sea Press

Published Date

ISBN 10

0932415199

ISBN 13

9780932415196

Pleural Diseases

By: Richard W. Light

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Pleural Diseases

By: Richard W. Light

Thoroughly updated for its Fifth Edition, Dr. Light's classic text provides a focused, single-authored perspective on the pathophysiology, clinical manifestations, diagnosis, and management of pleural diseases. This edition has three new chapters on physiological effects of a pneumothorax or pleural effusion, animal models in pleural investigation, and cytokines and the pleura. Other chapters present significant updates on use of thoracoscopy in diagnosis of pleural effusions and on new diagnostic tests for mesothelioma, parapneumonic effusion, and effusions due to congestive heart failure. Also included are discussions of recent advances in the therapy of malignant pleural effusions, mesothelioma, and parapneumonic effusions.

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Page Count

456

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

0781769574

ISBN 13

9780781769570

Fourier Series and Numerical Methods for Partial Differential Equations

By: Richard Bernatz

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Fourier Series and Numerical Methods for Partial Differential Equations

By: Richard Bernatz

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Solve jigsaw puzzle

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Page Count

336

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470651377

ISBN 13

9780470651377

Book's by Richard Bernatz

Fourier Series and Numerical Methods for Partial Differential Equations

Fourier Series and Numerical Methods for Partial Differential Equations

Thoracic Imaging

Thoracic Imaging

General Thoracic Surgery

General Thoracic Surgery

Ethiopia Photographed

Ethiopia Photographed

The Ethiopian Borderlands

The Ethiopian Borderlands

Pleural Diseases

Pleural Diseases

Fourier Series and Numerical Methods for Partial Differential Equations

Fourier Series and Numerical Methods for Partial Differential Equations

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