Patricia J.Y. Wong's Books

Error Inequalities in Polynomial Interpolation and Their Applications

By: R.P. Agarwal,Patricia J.Y. Wong

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Error Inequalities in Polynomial Interpolation and Their Applications

By: R.P. Agarwal,Patricia J.Y. Wong

This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel--Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone--spline interpolating problems. Explicit representations of the interpolating polynomials and associated error functions are given, as well as explicit error inequalities in various norms. Numerical illustrations are provided of the importance and sharpness of the various results obtained. Also demonstrated are the significance of these results in the theory of ordinary differential equations such as maximum principles, boundary value problems, oscillation theory, disconjugacy and disfocality. For mathematicians, numerical analysts, computer scientists and engineers.

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Page Count

376

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401120269

ISBN 13

9789401120265

Positive Solutions of Differential, Difference and Integral Equations

By: R.P. Agarwal,Donal O'Regan,Patricia J.Y. Wong

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Positive Solutions of Differential, Difference and Integral Equations

By: R.P. Agarwal,Donal O'Regan,Patricia J.Y. Wong

In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

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Page Count

425

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401591717

ISBN 13

9789401591713

Constant-Sign Solutions of Systems of Integral Equations

By: Ravi P. Agarwal,Donal O’Regan,Patricia J. Y. Wong

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Constant-Sign Solutions of Systems of Integral Equations

By: Ravi P. Agarwal,Donal O’Regan,Patricia J. Y. Wong

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.

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Page Count

651

Publisher

Springer Science & Business Media

Published Date

ISBN 10

331901255X

ISBN 13

9783319012551

Advanced Topics in Difference Equations

By: R.P. Agarwal,Patricia J.Y. Wong

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Advanced Topics in Difference Equations

By: R.P. Agarwal,Patricia J.Y. Wong

. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.

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Page Count

517

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401588996

ISBN 13

9789401588997

AWHONN's Perinatal Nursing

By: Kathleen R. Simpson,Patricia A. Creehan

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AWHONN's Perinatal Nursing

By: Kathleen R. Simpson,Patricia A. Creehan

Leave the self-doubt behind — get fully grounded in effective perinatal care, with Perinatal Nursing, 5th Edition, an official publication of the Association of Women’s Health, Obstetric and Neonatal Nurses (AWHONN). This freshly updated, comprehensive resource offers expert guidelines and best practices for the full range of patient care issues, from cultural practices and pregnancy complications to newborn assessments and nutrition. Stay current with this must-have, evidence-based support for both perinatal and labor and delivery nursing. 5 Star Praise for the Previous Edition! “My boss recommended this book, and I am glad she did. It is very comprehensive, up to date on the latest practices, and explains very much the "why?" we do certain things the way we do in L&D units. Pretty much explains you what the standard of care is across the board. Some of my experienced nurses also found it very useful as a refresher and ended up buying it as well. Worth the investment.” “I can see myself referring to this book often in my career.” “A must have for Mother/Baby Nurses. I think L&D RN's would benefit a lot too. I got it for the RN MNN RNC exam and so far it has been great for resource and up to date standard of care information.. good investment.”

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