Myron B. Allen, III's Books

Continuum Mechanics

The Birthplace of Mathematical Models

By: Myron B. Allen, III

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Continuum Mechanics

The Birthplace of Mathematical Models

By: Myron B. Allen, III

Presents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles Written as an accessible introduction, Continuum Mechanics: The Birthplace of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book features derivations of commonly used differential equations based on the fundamental continuum mechanical concepts encountered in various fields, such as engineering, physics, and geophysics. The book begins with geometric, algebraic, and analytical foundations before introducing topics in kinematics. The book then addresses balance laws, constitutive relations, and constitutive theory. Finally, the book presents an approach to multiconstituent continua based on mixture theory to illustrate how phenomena, such as diffusion and porous-media flow, obey continuum-mechanical principles. Continuum Mechanics: The Birthplace of Mathematical Models features: Direct vector and tensor notation to minimize the reliance on particular coordinate systems when presenting the theory Terminology that is aligned with standard courses in vector calculus and linear algebra The use of Cartesian coordinates in the examples and problems to provide readers with a familiar setting Over 200 exercises and problems with hints and solutions in an appendix Introductions to constitutive theory and multiconstituent continua, which are distinctive for books at this level Continuum Mechanics: The Birthplace of Mathematical Models is an ideal textbook for courses on continuum mechanics for upper-undergraduate mathematics majors and graduate students in applied mathematics, mechanical engineering, civil engineering, physics, and geophysics. The book is also an excellent reference for professional mathematicians, physical scientists, and engineers.

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288

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118909380

ISBN 13

9781118909386

The Mathematics of Fluid Flow Through Porous Media

By: Myron B. Allen, III

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The Mathematics of Fluid Flow Through Porous Media

By: Myron B. Allen, III

Master the techniques necessary to build and use computational models of porous media fluid flow In The Mathematics of Fluid Flow Through Porous Media, distinguished professor and mathematician Dr. Myron B. Allen delivers a one-stop and mathematically rigorous source of the foundational principles of porous medium flow modeling. The book shows readers how to design intelligent computation models for groundwater flow, contaminant transport, and petroleum reservoir simulation. Discussions of the mathematical fundamentals allow readers to prepare to work on computational problems at the frontiers of the field. Introducing several advanced techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, The Mathematics of Fluid Flow Through Porous Media is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. Teaching mastery of a subject that has increasingly become a standard tool for engineers and applied mathematicians, and containing 75 exercises suitable for self-study or as part of a formal course, the book also includes: A thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships An exploration of single-fluid flows in porous media, including Darcy’s Law, non-Darcy flows, the single-phase flow equation, areal flows, and flows with wells Practical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption A treatment of multiphase flows, including capillarity at the micro- and macroscale Perfect for graduate students in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, The Mathematics of Fluid Flow Through Porous Media also belongs on the bookshelves of any researcher who wishes to extend their research into areas involving flows in porous media.

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Page Count

226

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119663849

ISBN 13

9781119663843

Numerical Analysis for Applied Science

By: Myron B. Allen, III,Eli L. Isaacson

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Numerical Analysis for Applied Science

By: Myron B. Allen, III,Eli L. Isaacson

Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.

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Page Count

594

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119245664

ISBN 13

9781119245667

Multiphase Flow in Porous Media

Mechanics, Mathematics, and Numerics

By: Myron B. III Allen,Grace A. Behie,John A. Trangenstein

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Multiphase Flow in Porous Media

Mechanics, Mathematics, and Numerics

By: Myron B. III Allen,Grace A. Behie,John A. Trangenstein

The past decade has seen remarkable growth in research related to petroleum reseIVoir simulation. This growth reflects several developments, not the least of which is the increased interest in oil recovery technologies requiring sophisticated engineer ing. Augmenting this interest has been the broader availability of supercomputers capable of handling the tremendous computational demands of a typical reseIVoir simulator. The field of reseIVoir simulation incorporates several major facets of applied mathematics. First, in view of the varieyt and complexity of the processes encoun tered, it is imperative that the modeler adopt a systematic approach to establishing the equations governing reseIVoir flows. Second, the mathematical structure of these flow equations needs to be carefully analyzed in order to develop appropriate and efficient numerical methods for their solution. Third, since some aspects of the discretized flow equations are typically stiff, one must develop efficient schemes for solving large sparse systems of linear equations. This monograph has three parts, each devoted to one of these three aspects of reseIVoir modeling. The text grew out of a set of lectures presented by the authors in the autumn of 1986 at the IBM Scientific Center in Bergen, Norway. We feel that it is only appropriate to caution the reader that many of the ideas that we present in this monograph do not reflect standard approaches in petroleum reseIVoir simulation. In fact, our aim is to outline promising new ways of attacking reseIVoir simulation prob lems, rather than to compile another textbook for the mainstream.

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Page Count

312

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461395984

ISBN 13

9781461395980

Sexually Transmitted Diseases, Fourth Edition

By: King Holmes,P. Sparling,Walter Stamm,Peter Piot,Judith Wasserheit,Lawrence Corey,Myron Cohen

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Sexually Transmitted Diseases, Fourth Edition

By: King Holmes,P. Sparling,Walter Stamm,Peter Piot,Judith Wasserheit,Lawrence Corey,Myron Cohen

The most respected, all-in-one global STD reference -- now in full-color A Doody's Core Title! 5 STAR DOODY'S REVIEW! "With a level of detail that is unmatched by any other textbook in the field of sexually transmitted diseases (STDs), this book is the ultimate reference in this area . . . No question about it -- this book is the ultimate resource for information about sexually transmitted diseases. -- Doody's Review Service" With a level of detail and scientific rigor that no other text can match, Sexually Transmitted Diseases takes you through all aspects of STDs, from epidemiology to diagnosis and public health measures. Featuring an exciting new full-color format, the fourth edition of Sexually Transmitted Diseases delivers the most encyclopedic overview of the clinical, microbiological, and public health aspects of STDs, including HIV. Turn to any page, and you'll find essential coverage of critical new developments in vaccines and prevention, global epidemiology, new treatments, and much more. Features of the Fourth Edition: The ultimate sourcebook on STDs, with top-to-bottom coverage of all STDs and all etiologies, from bacteria to viruses and more Cutting-edge insights and clinically relevant perspectives from a distinguished roster of international authorities in medicine, infectious disease, and public health NEW! Brand-new chapters that cover: Drug Use and STDs, Cervical Cancer and STDs, Prevention of Opportunistic Infections in AIDS, Pregnancy and Bacterial STDs, Pregnancy and Perinatal Transmission of STDs, The Role of Primary Care Clinicians in Managing STDs, and STD and HIV Vaccines NEW! Eye-catching full-color format with hundreds of precise illustrations that drive home chapter concepts and help you visualize various conditions

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Page Count

2195

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071417486

ISBN 13

9780071417488

Continuum Mechanics

The Birthplace of Mathematical Models

By: Myron B. Allen, III

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Continuum Mechanics

The Birthplace of Mathematical Models

By: Myron B. Allen, III

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Page Count

288

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118909380

ISBN 13

9781118909386

Numerical Analysis for Applied Science

By: Myron B. Allen, III,Eli L. Isaacson

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Numerical Analysis for Applied Science

By: Myron B. Allen, III,Eli L. Isaacson

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Page Count

592

Publisher

John Wiley & Sons

Published Date

ISBN 10

111924546X

ISBN 13

9781119245469

Book's by Myron B. Allen, III

Continuum Mechanics

Continuum Mechanics

The Mathematics of Fluid Flow Through Porous Media

The Mathematics of Fluid Flow Through Porous Media

Numerical Analysis for Applied Science

Numerical Analysis for Applied Science

Multiphase Flow in Porous Media

Multiphase Flow in Porous Media

Sexually Transmitted Diseases, Fourth Edition

Sexually Transmitted Diseases, Fourth Edition

Continuum Mechanics

Continuum Mechanics

Numerical Analysis for Applied Science

Numerical Analysis for Applied Science

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