Mathematics in Computational Science and Engineering

Prepare students for success in using applied mathematics for engineering practice and post-graduate studies • moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques • Uses different examples from chemical, civil, mechanical and various other engineering fields • Based on a decade’s worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers • Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

An essential roadmap to the application of computational statistics in contemporary data science In Computational Statistics in Data Science , a team of distinguished mathematicians and statisticians delivers an expert compilation of concepts, theories, techniques, and practices in computational statistics for readers who seek a single, standalone sourcebook on statistics in contemporary data science. The book contains multiple sections devoted to key, specific areas in computational statistics, offering modern and accessible presentations of up-to-date techniques. Computational Statistics in Data Science provides complimentary access to finalized entries in the Wiley StatsRef: Statistics Reference Online compendium. Readers will also find: A thorough introduction to computational statistics relevant and accessible to practitioners and researchers in a variety of data-intensive areas Comprehensive explorations of active topics in statistics, including big data, data stream processing, quantitative visualization, and deep learningPerfect for researchers and scholars working in any field requiring intermediate and advanced computational statistics techniques, Computational Statistics in Data Science will also earn a place in the libraries of scholars researching and developing computational data-scientific technologies and statistical graphics.

An innovative treatment of mathematical methods for a multidisciplinary audience Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques. This book succeeds in not only being tuned in to the existing practical needs of this multidisciplinary audience, but also plays a role in the development of new interdisciplinary science by introducing new techniques to students and researchers. Mathematical Methods in Science and Engineering's modular structure affords instructors enough flexibility to use this book for several different advanced undergraduate and graduate level courses. Each chapter serves as a review of its subject and can be read independently, thus it also serves as a valuable reference and refresher for scientists and beginning researchers. There are a growing number of research areas in applied sciences, such as earthquakes, rupture, financial markets, and crashes, that employ the techniques of fractional calculus and path integrals. The book's two unique chapters on these subjects, written in a style that makes these advanced techniques accessible to a multidisciplinary audience, are an indispensable tool for researchers and instructors who want to add something new to their compulsory courses. Mathematical Methods in Science and Engineering includes: * Comprehensive chapters on coordinates and tensors and on continuous groups and their representations * An emphasis on physical motivation and the multidisciplinary nature of the methods discussed * A coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience * Exercises at the end of every chapter and plentiful examples throughout the book Mathematical Methods in Science and Engineering is not only appropriate as a text for advanced undergraduate and graduate physics programs, but is also appropriate for engineering science and mechanical engineering departments due to its unique chapter coverage and easily accessible style. Readers are expected to be familiar with topics typically covered in the first three years of science and engineering undergraduate programs. Thoroughly class-tested, this book has been used in classes by more than 1,000 students over the past eighteen years.

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

Volume 6 in the well-establish series Advances in Electrochemical Science and Engineering covers – among others – such important topics as time dependent modulation techniques and computer modeling by continuum and non-continuum methods. As in all previous volumes, the editors have succeeded in selecting highly topical areas of electrochemical research and in presenting authors who are leaders in their fields. The result is a compelling set of reviews which serves equally well as an excellent and up-to-date source of information for experienced researchers active in the field as well as an introduction for newcomers. From reviews of previous volumes: 'This is an essential book for researchers in electrochemistry; it covers areas of both fundamental and practical importance, with reviews of high quality. The material is very well presented and the choice of topics reflects a balanced editorial policy that is welcomed.' The Analyst

Volume 7 in the well-established series «Advances in Electrochemical Science and Engineering» covers – among others – important topics on electrodeposition. As in all previous volumes, the editors have succeeded in selecting highly topical areas of electrochemical research and in presenting authors who are leaders in their fields. The result is a compelling set of reviews which serves equally well as an excellent and up-to-date source of information for experienced researchers active in the field as well as an introduction for newcomers. From reviews of the previous volumes: 'This is an essential book for researchers in electrochemistry; it covers areas of both fundamental and practical importance, with reviews of high quality. The material is very well presented and the choice of topics reflects a balanced editorial policy that is welcomed.' The Analyst 'All the contributions in this volume are well up to the standard of this excellent series and will be of great value to electrochemists… The editors again deserve to be congratulated on this fine collection of reviews.' Journal of Electroanalytical Chemistry and Interfacial Chemistry '…competently and clearly written.' Berichte der Bunsen- Gesellschaft fur Physikalische Chemie

This is the second volume of the new series which continues the highly successful 'Advances in Electrochemistry and Electrochemical Engineering'. The series covers advanced topics in the area of fundamental and applied electrochemistry and engineering. Authors are selected with great care and usually represent the best talent available world-wide. The positive response by scientists worldwide to the new series is reflected in the following excerpts from reviews of the first volume: 'The editors must be congratulated on the first volume of this reborn series, which will be read with pleasure and profit by many.' Journal of Electroanalytical Chemistry 'This new book – and indeed the new series – can be recommended to all electrochemists in research and teaching as well as to all engineers and chemists in industry who are interested in recent developments in the field of electrochemistry.' Chemie – Ingenieur – Technik '… competently and clearly written.' Berichte der Bunsen-Gesellschaft fur Physikalische Chemie

Like its predecessors, volume three of this meanwhile well-established series covers selected topics from electrochemical science and its applications. The authors have been carefully selected among the leaders in the respective fields. Their authoritative and comprehensive contributions represent the latest state-of-the-art. Special attention is paid to recent developments, which are critically and thoroughly discussed. Each contribution of the present volume continues the high standards of this series. This new series has been warmly welcomed by scientists world-wide, which is reflected by the following review of the second volume: 'All the contributions in this volume are well up to the standard of this excellent series and will be of great value to electrochemists… The editors again deserve to be congratulated on this fine collection of reviews.' Journal of Electroanalytical Chemistry and Interfacial Chemistry

This series, formerly edited by Heinz Gerischer and Charls V. Tobias, now edited by Richard C. Alkire and Dieter M. Kolb, has been warmly welcomed by scientists world-wide which is reflected in the reviews of the previous volumes: «This is an essential book for researchers in electrochemistry; it covers areas of both fundamental and practical importance, with reviews of high quality. The material is very well presented and the choice of topics reflects a balanced editorial policy that is welcomed.» —The Analyst «All the contributions in this volume are well up to the standard of this excellent series and will be of great value to electrochemists.... The editors again deserve to be congratulated on this fine collection of reviews.» —Journal of Electroanalytical Chemistry and Interfacial Chemistry «…competently and clearly written.» —Berichte der Bunsen- Gesellschaft f?r Physikalische Chemie