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A First Course in Continuum Mechanics
A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic lin…
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- ISBN/ISSN
- 9780511619571
- Collation
- -
- Series Title
- Cambridge Texts in Applied Mathematics (42)
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations
This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the …
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- ISBN/ISSN
- 9783110271478
- Collation
- -
- Series Title
- Inverse and Ill-Posed Problems Series
- Call Number
- 510 ANI m
Topics in Numerical Partial Differential Equations and Scientific Computing
Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. This volume contains papers that originated with the collaborative research of the teams that participated in the IMA Workshop for Women in Applied Mathematics: Numerical Partial …
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- ISBN/ISSN
- 978-1-4939-6399-7
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Applied Partial Differential Equations
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12493-3
- Collation
- XI, 289
- Series Title
- Undergraduate Texts in Mathematics
- Call Number
- 515.3 LOG a
Applied Nonautonomous and Random Dynamical Systems: Applied Dynamical Systems
This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-49247-6
- Collation
- X, 108
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 515.3 CAR a
Applied Mathematics in Tunisia: International Conference on Advances in Appli…
This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology. Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisi…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-18041-0
- Collation
- XIX, 397
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 518 APP a
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
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- ISBN/ISSN
- 978-981-10-0530-5
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- -
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Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
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- ISBN/ISSN
- 978-3-319-19527-8
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Theory of Control Systems Described by Differential Inclusions
This book provides a brief introduction to the theory of finite dimensional differential inclusions, and deals in depth with control of three kinds of differential inclusion systems. The authors introduce the algebraic decomposition of convex processes, the stabilization of polytopic systems, and observations of Luré systems. They also introduce the elemental theory of finite dimensional diffe…
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- ISBN/ISSN
- 978-3-662-49245-1
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The Zakharov System and its Soliton Solutions
This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov – and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. The book represents a first attempt to highlight the mathematical theories that are most importan…
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- ISBN/ISSN
- 978-981-10-2582-2
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- -
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- -
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