New Trends And Advanced Methods In Interdisciplinary Mathematical Sciences

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New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences

Author : Bourama Toni
Publisher : Springer
ISBN 13 : 3319556126
Total Pages : 365 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences by : Bourama Toni

Download or read book New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences written by Bourama Toni and published by Springer. This book was released on 2017-07-05 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.

Pattern Recognition Techniques Applied to Biomedical Problems

Author : Martha Refugio Ortiz-Posadas
Publisher : Springer Nature
ISBN 13 : 3030380211
Total Pages : 227 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Pattern Recognition Techniques Applied to Biomedical Problems by : Martha Refugio Ortiz-Posadas

Download or read book Pattern Recognition Techniques Applied to Biomedical Problems written by Martha Refugio Ortiz-Posadas and published by Springer Nature. This book was released on 2020-02-29 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers pattern recognition techniques applied to various areas of biomedicine, including disease diagnosis and prognosis, and several problems of classification, with a special focus on—but not limited to—pattern recognition modeling of biomedical signals and images. Multidisciplinary by definition, the book’s topic blends computing, mathematics and other technical sciences towards the development of computational tools and methodologies that can be applied to pattern recognition processes. In this work, the efficacy of such methods and techniques for processing medical information is analyzed and compared, and auxiliary criteria for determining the correct diagnosis and treatment strategies are recommended and applied. Researchers in applied mathematics, the computer sciences, engineering and related fields with a focus on medical applications will benefit from this book, as well as professionals with a special interest in state-of-the-art pattern recognition techniques as applied to biomedicine.

Progress in Artificial Intelligence and Pattern Recognition

Author : Yanio Hernández Heredia
Publisher : Springer Nature
ISBN 13 : 3030896919
Total Pages : 454 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Progress in Artificial Intelligence and Pattern Recognition by : Yanio Hernández Heredia

Download or read book Progress in Artificial Intelligence and Pattern Recognition written by Yanio Hernández Heredia and published by Springer Nature. This book was released on 2021-11-03 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Artificial Intelligence and Pattern Recognition, IWAIPR 2021, held in Havana, Cuba, in October 2021. The 42 full papers presented were carefully reviewed and selected from 73 submissions. The papers promote and disseminate ongoing research on mathematical methods and computing techniques for artificial intelligence and pattern recognition, in particular in bioinformatics, cognitive and humanoid vision, computer vision, image analysis and intelligent data analysis.

Medicine-Based Informatics and Engineering

Author : Franco Simini
Publisher : Springer Nature
ISBN 13 : 3030878457
Total Pages : 210 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Medicine-Based Informatics and Engineering by : Franco Simini

Download or read book Medicine-Based Informatics and Engineering written by Franco Simini and published by Springer Nature. This book was released on 2021-12-07 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originates from the idea to adapt biomedical engineering and medical informatics to current clinical needs and proposes a paradigm shift in medical engineering, where the limitations of technology should no longer be the starting point of design, but rather the development of biomedical devices, software, and systems should stem from clinical needs and wishes. Gathering chapters written by authoritative researchers, working the interface between medicine and engineering, this book presents successful attempts of conceiving technology based on clinical practice. It reports on new strategies for medical diagnosis, rehabilitation, and eHealth, focusing on solutions to foster better quality of life through technology, with an emphasis on patients’ and clinical needs, and vulnerable populations. All in all, the book offers a reference guide and a source of inspiration for biomedical engineers, clinical scientists, physicians, and computer scientists. Yet, it also includes practical information for personnel using biomedical equipment, as well as timely insights that are expected to help health agencies and software firms in their decision-making processes.

Advances in Interdisciplinary Mathematical Research

Author : Bourama Toni
Publisher : Springer Science & Business Media
ISBN 13 : 1461463459
Total Pages : 296 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Interdisciplinary Mathematical Research by : Bourama Toni

Download or read book Advances in Interdisciplinary Mathematical Research written by Bourama Toni and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed to foster student interest in science, technology, engineering and mathematics, stimulate graduate and undergraduate research, as well as collaboration between researchers from different areas. The volume features new advances in mathematical research and its applications: anti-periodicity; almost stochastic difference equations; absolute and conditional stability in delayed equations; gamma-convergence and applications to block copolymer morphology; the dynamics of collision and near-collision in celestial mechanics; almost and pseudo-almost limit cycles; rainbows in spheres and connections to ray, wave and potential scattering theory; null-controllability of the heat equation with constraints; optimal control for systems subjected to null-controllability; the Galerkin method for heat transfer in closed channels; wavelet transforms for real-time noise cancellation; signal, image processing and machine learning in medicine and biology; methodology for research on durability, reliability, damage tolerance of aerospace materials and structures at NASA Langley Research Center. The volume is suitable and valuable for mathematicians, scientists and research students in a variety of interdisciplinary fields, namely physical and life sciences, engineering and technology including structures and materials sciences, computer science for signal, image processing and machine learning in medicine.

Advanced Topics in the Interdisciplinary Mathematical Sciences

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (638 download)

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Book Synopsis Advanced Topics in the Interdisciplinary Mathematical Sciences by :

Download or read book Advanced Topics in the Interdisciplinary Mathematical Sciences written by and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Interdisciplinary Sciences

Author : Snehashish Chakraverty
Publisher : John Wiley & Sons
ISBN 13 : 1119585651
Total Pages : 464 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Mathematical Methods in Interdisciplinary Sciences by : Snehashish Chakraverty

Download or read book Mathematical Methods in Interdisciplinary Sciences written by Snehashish Chakraverty and published by John Wiley & Sons. This book was released on 2020-06-15 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

Mathematical Methods in Science and Engineering

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
ISBN 13 : 1119425417
Total Pages : 867 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Methods in Science and Engineering by : Selcuk S. Bayin

Download or read book Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2018-02-19 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends in Analysis and Interdisciplinary Applications

Author : Pei Dang
Publisher : Birkhäuser
ISBN 13 : 3319488120
Total Pages : 615 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis New Trends in Analysis and Interdisciplinary Applications by : Pei Dang

Download or read book New Trends in Analysis and Interdisciplinary Applications written by Pei Dang and published by Birkhäuser. This book was released on 2017-04-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Numerical Mathematics And Advanced Applications: 3rd European Conf, Jul 99, Finland

Author : Pekka Neittaanmaki
Publisher : World Scientific
ISBN 13 : 9814542806
Total Pages : 794 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Numerical Mathematics And Advanced Applications: 3rd European Conf, Jul 99, Finland by : Pekka Neittaanmaki

Download or read book Numerical Mathematics And Advanced Applications: 3rd European Conf, Jul 99, Finland written by Pekka Neittaanmaki and published by World Scientific. This book was released on 2000-09-05 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains major lectures given at ENUMATH 99, the 3rd European Conference on Numerical Mathematics and Advanced Applications.The ENUMATH conferences were established in 1995 to provide a forum for discussing current topics in numerical mathematics. They convene leading experts and young scientists, with special emphasis on contributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms, as well as their application to challenging scientific and industrial problems.The topics of ENUMATH 99 included finite element methods, a posteriori error control and adaptive mesh design, non-matching grids, least-squares methods for partial differential equations, boundary element methods and optimization in partial differential equations. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications such as problems in computational fluid, electrodynamics, telecommunications software, as well as visualization.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author : Jacques Bélair
Publisher : Springer
ISBN 13 : 3319303791
Total Pages : 777 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical and Computational Approaches in Advancing Modern Science and Engineering by : Jacques Bélair

Download or read book Mathematical and Computational Approaches in Advancing Modern Science and Engineering written by Jacques Bélair and published by Springer. This book was released on 2016-08-10 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Essentials of Mathematical Methods in Science and Engineering

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
ISBN 13 : 1119580285
Total Pages : 1038 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Essentials of Mathematical Methods in Science and Engineering by : Selcuk S. Bayin

Download or read book Essentials of Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2019-12-04 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.

Mathematical Sciences with Multidisciplinary Applications

Author : Bourama Toni
Publisher : Springer
ISBN 13 : 3319313231
Total Pages : 654 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical Sciences with Multidisciplinary Applications by : Bourama Toni

Download or read book Mathematical Sciences with Multidisciplinary Applications written by Bourama Toni and published by Springer. This book was released on 2016-08-19 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.

Advanced Techniques in Applied Mathematics

Author : Shaun Bullett
Publisher : Wspc (Europe)
ISBN 13 : 9781786340221
Total Pages : 0 pages
Book Rating : 4.3/5 (42 download)

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Book Synopsis Advanced Techniques in Applied Mathematics by : Shaun Bullett

Download or read book Advanced Techniques in Applied Mathematics written by Shaun Bullett and published by Wspc (Europe). This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide to advanced techniques used widely in applied mathematical sciences research. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in techniques such as practical analytical methods, finite elements and symmetry methods for differential equations. Advanced Techniques in Applied Mathematics is the first volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society

Author : Ilias Kotsireas
Publisher : American Inst. of Physics
ISBN 13 : 9780735409286
Total Pages : 0 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society by : Ilias Kotsireas

Download or read book Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society written by Ilias Kotsireas and published by American Inst. of Physics. This book was released on 2012-01-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unique collection of in-depth technical discussions and exchange of ideas in mathematical and computational sciences, as well as their applications in natural and social sciences, engineering and technology, industry and finance. It aims at researchers, industrialists, engineers and students who want to foster interdisciplinary collaborations required to meet the challenges of modern science, technology, and society. Applied and computational mathematics plays a fundamental role in new discoveries in sciences and engineering. The methodology of mathematical modeling and computational experiment provides a primary and ubiquitous tool in such discoveries, as well as in the development of new theories and techniques for the solution of important problems arising from the sciences and engineering. The main goal of this book is to provide the reader with state-of-the-art achievements in the development of this methodology along with the associated theories and techniques in diverse areas of human knowledge, promoting interdisciplinary interactions between mathematicians, scientists and engineers. The book is a valuable source of the methods, ideas, and tools of applied and computational mathematics developed for other disciplines, including natural and social sciences, engineering and technology. Original results are presented on both fundamental and applied developments, with a wide range of examples emphasizing interdisciplinary nature and universality applied mathematics and mathematical modeling.This book has a number of unique features: -The book can serve as a reference to state-of-the-art original works on the applications of mathematical and computational methods and tools in disciplines from natural and social sciences to technology and engineering.

Mathematical Methods in Science and Engineering

Author : Selcuk S. Bayin
Publisher : Wiley-Interscience
ISBN 13 : 9780470041420
Total Pages : 712 pages
Book Rating : 4.0/5 (414 download)

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Book Synopsis Mathematical Methods in Science and Engineering by : Selcuk S. Bayin

Download or read book Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by Wiley-Interscience. This book was released on 2006-07-18 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING

Author : S. Selcuk Bayin
Publisher :
ISBN 13 : 9788126529681
Total Pages : 712 pages
Book Rating : 4.5/5 (296 download)

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Book Synopsis MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING by : S. Selcuk Bayin

Download or read book MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING written by S. Selcuk Bayin and published by . This book was released on 2011-02-01 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: As a text for courses on mathematical methods in the graduate and advanced undergraduate physics program; as a text for advanced undergraduate and graduate students in engineering and applied mathematics; as a reference for scientists and beginning researchers; university and corporate libraries. Special Features: · Provides three unique chapters on the subjects of factorization, fractional calculus, and path integrals. These topics are not covered in the competition.· Provides comprehensive chapters on coordinates and tensors and on continuous groups and their representatives. These topics are covered in much more depth in this book than in the competition.· Written in a modular structure so that each chapter is a review of its subject and could be read independently. This approach makes the book useful as a reference or refresher for scientists.· Presents a coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience· Emphasizes physical motivation and the multidisciplinary nature of the methods discussed· Includes exercises at the end of every chapter and plentiful examples About The Book: This book successfully fills a gap in the existing literature on mathematical methods. There are a growing number of research areas in applied sciences like 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 beginning researchers and instructors who want to add something new to their compulsory courses. Readers are expected to be familiar with the topics generally covered in the first three years of the science and engineering undergraduate programs. The book contains enough material for a three-semester course. However, the modular structure of the book gives instructors enough flexibility to adopt the book for several different advanced undergraduate and graduate level courses. The book has been classroom tested on over more than 1000 students during the past 20 years.