Coupled Systems Theory, Models, and Applications in Engineering
Washek F. Pfeffer University of California, Davis, USA
Juergen Geiser
Mathematics for Physics
Ernst-Moritz-Arndt University of Greifswald, Germany
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing
This book presents a detailed development of the divergence theorem. The framework is that of Lebesgue integration—no generalized Riemann integrals of Henstock–Kurzweil variety are involved. The first part of the book establishes the divergence theorem by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The second part introduces the sets of finite perimeter and the last part proves the general divergence theorem for bounded vector fields.
This book describes the theoretical and practical aspects of solving complicated and coupled models in engineering with analytical and numerical methods. It covers analytical and numerical methods in time and space for evolution equations that arise from engineering problems and their applications. The book covers separate, multiple and logical scales. MATLAB® code for implementation is included. Print ISBN: 978-1-4665-7801-2 February 2014, 6-1/8 x 9-1/4, 304 pp. Suggested Price: $89.95 / £57.99
Textbook
A Course in Mathematical Methods for Physicists Russell L. Herman University of North Carolina, Wilmington, USA
Based on the author’s junior-level undergraduate course, this classroom-tested textbook is designed for an introductory course in mathematical physics. Focusing on the physics of oscillations and waves, it helps students understand the mathematical techniques needed for their future studies in physics. The book introduces the methods while studying one underlying theme from physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. A solutions manual and figure slides are available upon qualifying course adoption.
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The Divergence Theorem and Sets of Finite Perimeter
Print ISBN: 978-1-4665-8467-9 November 2013, 8-1/2 x 11, 784 pp., Soft Cover Suggested Price: $89.95 / £44.99
Difference Equations Theory, Applications and Advanced Topics, Third Edition
Print ISBN: 978-1-4665-0719-7 eBook ISBN: 978-1-4665-0721-0 April 2012, 6-1/8 x 9-1/4, 259 pp. Suggested Price: $104.95 / £66.99
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering H.T. Banks North Carolina State University, Raleigh, USA
This work presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional analysis can be the basis of modern PDE and DDE techniques. He covers many recent applications of functional analysis in HIV models, noncooperative games, structured population models, electromagnetic materials, delay systems, and control and inverse problems. He also addresses computational aspects of select problems/applications. Print ISBN: 978-1-4398-8083-8 eBook ISBN: 978-1-4398-8084-5 June 2012, 6-1/8 x 9-1/4, 280 pp. Suggested Price: $83.95 / £51.99
The Geometry of Special Relativity Tevian Dray
Ronald E. Mickens
Oregon State University, Corvallis, USA
Clark Atlanta University, Georgia, USA
Well-known for connecting mathematical rigor to physics applications, the author of this book presents special relativity in a geometric framework using basic trigonometry. A distinctive feature of the text is its emphasis on the equivalence between special and hyperbolic trigonometry. Suitable for mathematicians and physicists, the book shows how the fascinating and easily accessible mathematics topic of hyperbolic triangle trigonometry is useful in solving problems in relativity.
This book covers many important classes of difference equations, including general, linear, first, second, and Nth order, along with nonlinear equations, PDEs, functional equations, and Nth order equations having constant coefficients. It presents a wide range of techniques for calculating exact and approximate solutions. Numerous worked examples illustrate the use of the methodologies. This edition includes new chapters on advanced topics, such as asymptotic behavior of solutions and functional equations, as well as problems that have appeared in the recent mathematical literature. Print ISBN: 978-1-4822-3078-9 June 2014, 6-1/8 x 9-1/4, 700 pp. Suggested Price: $119.95 / £76.99
Print ISBN: 978-1-4665-1047-0 eBook ISBN: 978-1-4665-1048-7 July 2012, 6 x 9, 150 pp. Suggested Price: $36.95 / £22.99
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