George Bluman's Books

Symmetries and Differential Equations

By: George W. Bluman,Sukeyuki Kumei

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Symmetries and Differential Equations

By: George W. Bluman,Sukeyuki Kumei

A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.

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Page Count

424

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475743076

ISBN 13

9781475743074

Applications of Symmetry Methods to Partial Differential Equations

By: George W. Bluman,Alexei F. Cheviakov,Stephen Anco

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Applications of Symmetry Methods to Partial Differential Equations

By: George W. Bluman,Alexei F. Cheviakov,Stephen Anco

This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

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Page Count

415

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387680284

ISBN 13

9780387680286

Symmetry and Integration Methods for Differential Equations

By: George Bluman,Stephen Anco

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Symmetry and Integration Methods for Differential Equations

By: George Bluman,Stephen Anco

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

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Page Count

425

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387216499

ISBN 13

9780387216492

Solution of Ordinary Differential Equations by Continuous Groups

By: George Emanuel

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Solution of Ordinary Differential Equations by Continuous Groups

By: George Emanuel

Written by an engineer and sharply focused on practical matters, Solution of Ordinary Differential Equations by Continuous Groups explores the application of Lie groups to the solution of ordinary differential equations. The author's unique approach treats first- and second-order equations rather like integrals, through the use of extensive tables. The book is replete with exercises and fully worked examples, and it offers a number of new techniques published here for the first time. This singular, user-friendly text provides scientists and engineers with easy access to closed form solutions to nonlinear first- and second-order differential equations.

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Page Count

229

Publisher

CRC Press

Published Date

ISBN 10

1482296292

ISBN 13

9781482296297

Mechanics in Material Space

with Applications to Defect and Fracture Mechanics

By: Reinhold Kienzler,George Herrmann

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Mechanics in Material Space

with Applications to Defect and Fracture Mechanics

By: Reinhold Kienzler,George Herrmann

A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.

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Page Count

302

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642570100

ISBN 13

9783642570100

Cigarettes

What the Warning Label Doesn't Tell You : the First Comprehensive Guide to the Health Consequences of Smoking ; Updated and Revised for the 21st Century

By: American Council on Science and Health,George D. Lundberg

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Cigarettes

What the Warning Label Doesn't Tell You : the First Comprehensive Guide to the Health Consequences of Smoking ; Updated and Revised for the 21st Century

By: American Council on Science and Health,George D. Lundberg

In March 2011, the Natural Resources Defense Council (NRDC), an environmental activist group, released a questionable report alleging that chemical exposures throughout the country have led to numerous "disease clusters." The group called for far-reaching reforms that would place huge financial burdens on chemical manufacturers and American taxpayers. Accelerated job loss and restrictions or bans on safe and usefulproducts would be the consequences of the misguided concern generated by this (and similar) scientifically flawed warnings. In response, the American Council on Science and Health (ACSH), basing our analysis on well established principles of scientific investigation, critically evaluated the NRDC's purported disease clusters and assessed the depth of the evidence-based support for these claims. This publication is a case-by-case investigation of each of the NRDC's claims. We explain why, with few exceptions, their allegationshave no scientific basis and fly in the face of the conclusions reached by objective governmental public health agencies.

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Page Count

288

Published Date

ISBN 10

0972709436

ISBN 13

9780972709439

The Surnames of Scotland

Their Origin, Meaning and History

By: George F. Black

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The Surnames of Scotland

Their Origin, Meaning and History

By: George F. Black

First published by the New York Public Library in 1946, Black's The Surnames of Scotland has long established itself as one of the great classics of genealogy. Arranged alphabetically, each entry contains a concise history of the family in question (with many cross-references), making it an indispensable tool for those researching their own family history, as well as readers with a general interest in Scottish history. An informative introduction and glossary also provide much useful information.

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Page Count

2181

Publisher

Birlinn Ltd

Published Date

ISBN 10

1788852966

ISBN 13

9781788852968

Nonlinear Physics with Maple for Scientists and Engineers

By: Richard Enns,George McGuire

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Nonlinear Physics with Maple for Scientists and Engineers

By: Richard Enns,George McGuire

Philosophy of the Text This text has been designed to be an introductory survey of the basic concepts and applied mathematical methods of nonlinear science. Students in engineer ing, physics, chemistry, mathematics, computing science, and biology should be able to successfully use this text. In an effort to provide the students with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of Maple V Release 4 applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The diskette which accompanies the text gives a wide variety of illustrative nonlinear examples solved with Maple. An accompanying laboratory manual of experimental activities keyed to the text allows the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated. The Level of the Text The essential prerequisites for the first eight chapters of this text would nor mally be one semester of ordinary differential equations and an intermediate course in classical mechanics.

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Page Count

400

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468400320

ISBN 13

9781468400328

Reviews of Environmental Contamination and Toxicology

Continuation of Residue Reviews

By: George W. Ware

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Reviews of Environmental Contamination and Toxicology

Continuation of Residue Reviews

By: George W. Ware

Global attention in scientific, industrial, and governmental commumtles to traces of toxic chemicals in foodstuffs and in both abiotic and biotic environ ments has justified the present triumvirate of specialized publications III this field: comprehensive reviews, rapidly published progress reports, and archival documentations. These three publications are Illtegrated and scheduled to pro vide in international communication the coherency essential for nonduplicative and current progress in a field as dynamic and complex as environmental con tamination and toxicology. Until now there has been no journal or other publica tion series reserved exclusively for the diversified literature on "toxic" chemicals in our foods, our feeds, our geographical surroundings, our domestic animals, our wildlife, and ourselves. Around the world immense efforts and many talents have been mobilized to techmcal and other evaluations of natures, locales, magnitudes, fates, and toxicology of the persisting residues of these chemicals loosed upon the world. Among the sequelae of this broad new emphasis has been an inescapable need for an articulated set of authoritative publications where one could expect to find the latest important world literature produced by this emerging area of science together with documentation of pertinent ancil lary legislation.

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Page Count

185

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468470868

ISBN 13

9781468470864

Nonlinear Physics with Mathematica for Scientists and Engineers

By: Richard H. Enns,George C. McGuire

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Nonlinear Physics with Mathematica for Scientists and Engineers

By: Richard H. Enns,George C. McGuire

Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

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Page Count

706

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461202116

ISBN 13

9781461202110

Orthopedics, An Issue of Primary Care Clinics in Office Practice

By: George G.A. Pujalte

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Orthopedics, An Issue of Primary Care Clinics in Office Practice

By: George G.A. Pujalte

This issue of Primary Care: Clinics in Office Practice features expert clinical reviews on Orthopedics which includes current information on . The Preparticipation Physical Examination, Exercise Prescription, Diagnosis and Treatment of Osteoarthritis, Evaluation and Treatment of Cervical Radiculopathy, Choosing the Right Diagnostic Imaging Modality in Musculoskeletal Diagnosis, Evaluation and Treatment of Musculoskeletal Chest Pain, Evaluation and Treatment of Rotator Cuff Pathology, Evaluation and Treatment of Sternoclavicular, Clavicular, and Acromioclavicular Injuries, Evaluation and Treatment of Upper Extremity Nerve Entrapment Syndromes, Complementary and Alternative Treatments in Musculoskeletal Medicine, Evaluation and Treatment of Biking and Running Injuries, Common Injections in Musculoskeletal Medicine, and Considerations in Footwear and Orthotics.

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Page Count

257

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

032326123X

ISBN 13

9780323261234

Dynamics of Evolutionary Equations

By: George R. Sell,Yuncheng You

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Dynamics of Evolutionary Equations

By: George R. Sell,Yuncheng You

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. This book serves as an entrée for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations.

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680

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475750374

ISBN 13

9781475750379

Boundary Integral Equations

By: George C. Hsiao,Wolfgang L. Wendland

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Boundary Integral Equations

By: George C. Hsiao,Wolfgang L. Wendland

This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.

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Page Count

635

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540685456

ISBN 13

9783540685456

Nonlinear Waves, Solitons and Chaos

By: Eryk Infeld,George Rowlands

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Nonlinear Waves, Solitons and Chaos

By: Eryk Infeld,George Rowlands

The second edition of a highly successful book on nonlinear waves, solitons and chaos.

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Page Count

416

Publisher

Cambridge University Press

Published Date

ISBN 10

0521635578

ISBN 13

9780521635578

Exercises in Integration

By: C. George

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Exercises in Integration

By: C. George

Having taught the theory of integration for several years at the University of Nancy I, then at the Ecole des Mines of the same city, I had followed the custom of the times of writing up de tailed solutions of exercises and problems, which I used to dis tribute to the students every week. Some colleagues who had had occasion to use these solutions have persuaded me that this work would be interesting to many students, teachers and researchers. The majority of these exercises are at the master's level; to them I have added a number directed to those who would wish to tackle greater difficulties or complete their knowledge on various points of the theory (third year students, diploma of education students, researchers, etc.). This book, I hope, will render to students the services that this kind of book brings them in general, with the reservation that can always be made in this case: that certain of them will be tempted to look at the solution to the exercises which are put to them without any personal effort. There is hardly any need to emphasize that such a use of this book would be no benefit. On the other hand, the student who after having worked seriously upon a problem, seeks some pointers from the solution, or compares it with his own, will be using this work in the optimal way.

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Page Count

556

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468463209

ISBN 13

9781468463200

Linear Operator Theory in Engineering and Science

By: Arch W. Naylor,George R. Sell

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Linear Operator Theory in Engineering and Science

By: Arch W. Naylor,George R. Sell

This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.

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Page Count

648

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038795001X

ISBN 13

9780387950013

Obstetrics and Gynaecology

Clinical and Basic Science Aspects

By: Murdoch George Elder

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Obstetrics and Gynaecology

Clinical and Basic Science Aspects

By: Murdoch George Elder

This textbook is designed to appeal to students with enquiring scientific minds. It covers the main topics of obstetrics and gynaecology that an undergraduate needs to learn, but with more background scientific information, and can be used in the early stages of preparation for the MRCOG exam.

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