Mathematical Techniques

Author: D. Dominic William Jordan
Publisher: Oxford University Press
ISBN: UVA:X004145855
Release Date: 1997
Genre: Mathematics

Undergraduate students of engineering, science, and mathematics must quickly master a variety of mathematical methods, although many of these students do not have strong mathematics backgrounds. In this well-received book, now in its second edition, the authors use their extensive experience with diverse groups of students to provide an accessible introduction to mathematical techniques. They start at the elementary level and proceed to cover the full range of topics typically encountered by beginning students: BL Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. BL Complex numbers, matrix operations, and linear systems of equations. BL Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. BL Laplace transforms, Fourier series and Fourier transforms. BL Probability and statistics. Incorporating many suggestions from readers, this new edition has expanded discussions of vectors and new chapters on Fourier series and on probability and statistics. The emphasis throughout is on understanding concepts through well-chosen examples, and the book includes over 500 fully worked problems. As far as is possible chapter topics are self-contained so that a student only needing to master certain techniques can omit others without trouble. The generously illustrated text also includes simple numerical processes which lead to examples and projects for computation (particularly with Mathematica), and contains a large number of exercises (with answers) to reinforce the material. These features combine to make this book an ideal starting point for students entering the sciences.

Mathematical Techniques

Author: Dominic William Jordan
Publisher: Oxford University Press, USA
ISBN: 0199249725
Release Date: 2002
Genre: Mathematics

Many students beginning their engineering, science and mathematics courses need a book on mathematical methods. This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also forthe routine methods needed by first and second year mathematics students. Mathematical Techniques starts by revising work from pre-university level before developing the more advanced material which students will encounter during their undergraduate studies.The contents of the book has been fully revised for this, the third edition. The first chapter on standard techniques, has been rewritten and expanded to serve the increasingly diverse needs of students. The Fourier transform now has its own chapter; a simplified approach is adopted, and diffractiontheory, together with supporting material on wave motion, is included. Many changes enhancing clarity have been made in other chapters. The chapter on projects using Mathematica has been extended to cover these changes: the associated programs are freely available on Keele University, MathematicsDepartment web site: www.keele.ac.uk/depts/ma/ . Chapters and sections are designed to be largely self-contained, allowing students ot concentrate on the specific methods they need to master and use. The book contains nearly 500 worked examples, more than 2000 problems (with selected answers), andover 120 computing projects. The text is accessible, widely illustrated, and stands as an ideal introduction on mathematical methods at university level.

Mathematical Techniques

Author: Dominic Jordan
Publisher: OUP Oxford
ISBN: 0199282013
Release Date: 2008-03-13
Genre: Mathematics

Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.

Mathematical Methods for Engineers and Scientists 3

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540446958
Release Date: 2006-11-30
Genre: Science

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous examples, completely worked out, together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods for Engineers and Scientists 2

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540302704
Release Date: 2006-12-13
Genre: Science

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods for Engineers and Scientists 1

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540302742
Release Date: 2006-11-22
Genre: Science

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods for the Physical Sciences

Author: K. F. Riley
Publisher: Cambridge University Press
ISBN: 0521098394
Release Date: 1974-10-03
Genre: Mathematics

Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.

Biophysical Techniques

Author: Iain Campbell
Publisher: Oxford University Press
ISBN: 9780199642144
Release Date: 2012-02-16
Genre: Medical

Biophysical Techniques explains in a readily-accessible way the basics of the various biophysical methods available so students can understand the principles behind the different methods used, and begin to appreciate which tools can be used to probe different biological questions, and the pros and cons of each.

Statistical Software Engineering

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309176085
Release Date: 1996-03-15
Genre: Computers

This book identifies challenges and opportunities in the development and implementation of software that contain significant statistical content. While emphasizing the relevance of using rigorous statistical and probabilistic techniques in software engineering contexts, it presents opportunities for further research in the statistical sciences and their applications to software engineering. It is intended to motivate and attract new researchers from statistics and the mathematical sciences to attack relevant and pressing problems in the software engineering setting. It describes the "big picture," as this approach provides the context in which statistical methods must be developed. The book's survey nature is directed at the mathematical sciences audience, but software engineers should also find the statistical emphasis refreshing and stimulating. It is hoped that the book will have the effect of seeding the field of statistical software engineering by its indication of opportunities where statistical thinking can help to increase understanding, productivity, and quality of software and software production.

Strengthening the Linkages Between the Sciences and the Mathematical Sciences

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309183626
Release Date: 2000-04-05
Genre: Mathematics

Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied mathematics which in turn enabled new practical technologies and advanced entirely new frontiers of science. Despite the interdependency that exists between these two disciplines, cooperation and collaboration between mathematical scientists and scientists have only occurred by chance. To encourage new collaboration between the mathematical sciences and other fields and to sustain present collaboration, the National Research Council (NRC) formed a committee representing a broad cross-section of scientists from academia, federal government laboratories, and industry. The goal of the committee was to examine the mechanisms for strengthening interdisciplinary research between mathematical sciences and the sciences, with a strong focus on suggesting the most effective mechanisms of collaboration. Strengthening the Linkages Between the Sciences and the Mathematical Sciences provides the findings and recommendations of the committee as well as case studies of cross-discipline collaboration, the workshop agenda, and federal agencies that provide funding for such collaboration.

Mathematical Methods for Physics and Engineering

Author: K. F. Riley
Publisher: Cambridge University Press
ISBN: 9781139450997
Release Date: 2006-03-23
Genre: Science

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

Statistical Software Engineering

Author: Panel on Statistical Methods in Software Engineering
Publisher: National Academies Press
ISBN: 9780309588546
Release Date: 1996-03-29
Genre: Computers

This book identifies challenges and opportunities in the development and implementation of software that contain significant statistical content. While emphasizing the relevance of using rigorous statistical and probabilistic techniques in software engineering contexts, it presents opportunities for further research in the statistical sciences and their applications to software engineering. It is intended to motivate and attract new researchers from statistics and the mathematical sciences to attack relevant and pressing problems in the software engineering setting. It describes the "big picture," as this approach provides the context in which statistical methods must be developed. The book's survey nature is directed at the mathematical sciences audience, but software engineers should also find the statistical emphasis refreshing and stimulating. It is hoped that the book will have the effect of seeding the field of statistical software engineering by its indication of opportunities where statistical thinking can help to increase understanding, productivity, and quality of software and software production.

Mathematics and Physics of Emerging Biomedical Imaging

Author: Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging
Publisher: National Academies Press
ISBN: NAP:13906
Release Date: 1996-02-29
Genre: Mathematics

This cross-disciplinary book documents the key research challenges in the mathematical sciences and physics that could enable the economical development of novel biomedical imaging devices. It is hoped that the infusion of new insights from mathematical scientists and physicists will accelerate progress in imaging. Incorporating input from dozens of biomedical researchers who described what they perceived as key open problems of imaging that are amenable to attack by mathematical scientists and physicists, this book introduces the frontiers of biomedical imaging, especially the imaging of dynamic physiological functions, to the educated nonspecialist. Ten imaging modalities are covered, from the well-established (e.g., CAT scanning, MRI) to the more speculative (e.g., electrical and magnetic source imaging). For each modality, mathematics and physics research challenges are identified and a short list of suggested reading offered. Two additional chapters offer visions of the next generation of surgical and interventional techniques and of image processing. A final chapter provides an overview of mathematical issues that cut across the various modalities.

Mathematical Research in Materials Science

Author: Committee on Mathematical Sciences Applied to Materials Science
Publisher: National Academies Press
ISBN: 9780309585651
Release Date: 1993-01-15
Genre: Technology & Engineering

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.