Описание: 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.
Описание: This set consists of the third edition of this highly acclaimed undergraduate textbook and its solutions manual containing complete worked solutions to half of the problems. Suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences, the text provides lucid descriptions of all the topics, many worked examples, and 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, 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.
Описание: Mathematical Methods for Physics and Engineering, Third Edition is a highly acclaimed undergraduate textbook that teaches 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. This solutions manual accompanies the third edition of Mathematical Methods for Physics and Engineering. It contains complete worked solutions to over 400 exercises in the main textbook, the odd-numbered exercises, that are provided with hints and answers. The even-numbered exercises have no hints, answers or worked solutions and are intended for unaided homework problems; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
Описание: This volume comprises the papers presented at the 7th International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest
topics in scattering theory and biomedical technology. All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their
field and in the science community.
Описание: This book addresses the need for mathematical techniques to be introduced early on in the undergraduate program. Topics that are unique to the undergraduate curriculum, i.e. series, complex analysis, variational calculus, and integral transforms, do overlap in the advanced undergraduate-graduate curriculum and need to be introduced early on in the undergraduate program at the appropriate level. Throughout this book, these topics are crafted anew and tailored to both the needs and level of the intended audience. Topical coverage includes functional analysis; vector analysis; general coordinates and tensors; determinants and matrices; linear algebra; infinite series; complex numbers and functions; complex integrals and series; ordinary differential equations; second-order differential equations and special functions; Bessel's equation and Bessel's functions; partial differential equations and special functions; other useful functions of mathematical physics; Fourier series; integral transforms; variational analysis; probability theory; and information theory. This book equips students with the necessary mathematical skills that are required by a majority of the physics and engineering undergraduate programs, and it also establishes the background needed to understand and appreciate more advanced topics. While this book is not dependent on Dr. Bayin's graduate-level book, Mathematical Methods in Science and Engineering, (and vice-versa), this book does provide a solid introduction to the more advance topics that are found in that book. The modular format and uniform level of formality provides complimentary coverage of topics, and the books also form a set spanning a wide range of basic mathematical techniques appropriate for both students and researchers.
Описание: This volume consists of papers presented at the Variational Analysis and Aerospace Engineering Workshop II held in Erice, Italy in September 2010 at the International School of Mathematics Guido Stampacchia . The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. The presentations were dedicated to the most advanced subjects in engineering and, in particular to computational fluid dynamics methods, introduction of new materials, optimization in aerodynamics, structural optimization, space missions, flight mechanics, control theory and optimization, variational methods and applications, etc. This book will capture the interest of researchers from both academia and industry.
Описание: Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the nece
Описание: Focusingon five main groups of interdisciplinary problems, this book covers a widerange of topics in mathematical modeling, computational science and appliedmathematics. It presents a wealth of new results in the development of modelingtheories and methods, advancing diverse areas of applications and promotinginterdisciplinary interactions between mathematicians, scientists, engineersand representatives from other disciplines.Thebook offers a valuable source of methods, ideas, and tools developed for avariety of disciplines, including the natural and social sciences, medicine,engineering, and technology. Original results are presented on both thefundamental and applied level, accompanied by an ample number of real-worldproblems and examples emphasizing the interdisciplinary nature and universalityof mathematical modeling, and providing an excellent outline of today’schallenges. Mathematical modeling,with applied and computational methods and tools, plays a fundamental role inmodern science and engineering. It provides a primary and ubiquitous tool inthe context making new discoveries, as well as in the development of newtheories and techniques for solving key problems arising in scientific andengineering applications.Thecontributions, which are the product of two highly successful meetingsheld jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid LaurierUniversity in June 2015, i.e. the International Conference on AppliedMathematics, Modeling and Computational Science, and the Annual Meeting of theCanadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interestedin a broader overview of the methods, ideas and tools involved in mathematicaland computational approaches developed for other disciplines, including thenatural and social sciences, engineering and technology.
Описание: Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. Engineers and scientists who deal with engineering tasks have to handle large amounts of information, which must be created and structured in a systematic manner. This demands a high level of abstraction and therefore knowledge of the mathematical foundations. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are selected and presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications is shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.
Описание: Reviews, introduces, and develops the mathematics that is encountered in sophisticated chemical engineering models. This book provides coverage of chemical engineering model formulation and analysis. It serves as an introduction to linear mathematics for engineering students.
Описание: This collection of historical research studies covers the evolution of technology as knowledge, the emergence of an autonomous engineering science in the
Industrial Age, the idea of scientific managment of production and operation systems, and the interaction between mathematical models and technological concepts.The book is
published with the support of the UNESCO Venice Office - Regional Office for Science & Technology in Europe as an activity of the Project: The evolution of events, concepts and
models in engineering systems.
Описание: This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.
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