Sturm-Liouville Theory and its Applications PDF Download
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Author: Mohammed Al-Gwaiz
Publisher: Springer Science & Business Media
ISBN: 1846289718
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
Author: Mohammed Al-Gwaiz
Publisher: Springer Science & Business Media
ISBN: 1846289718
Category : Mathematics
Languages : en
Pages : 270
Get Book Here
Book Description
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
Author: Pradip Sircar
Publisher: Cambridge University Press
ISBN: 1316811670
Category : Technology & Engineering
Languages : en
Pages : 258
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Book Description
Written using clear and accessible language, this text provides detailed coverage of the core mathematical concepts underpinning signal processing. All the core areas of mathematics are covered, including generalized inverses, singular value decomposition, function representation, and optimization, with detailed explanations of how basic concepts in these areas underpin the methods used to perform signal processing tasks. A particular emphasis is placed on the practical applications of signal processing, with numerous in-text practice questions and real-world examples illustrating key concepts, and MATLAB programs with accompanying graphical representations providing all the necessary computational background. This is an ideal text for graduate students taking courses in signal processing and mathematical methods, or those who want to establish a firm foundation in these areas before progressing to more advanced study.
Author: Robert A. Zucker
Publisher:
ISBN:
Category : Alcohol in the body
Languages : en
Pages : 470
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Book Description
Author: Zhihe Jin
Publisher: Elsevier
ISBN: 0323953964
Category : Technology & Engineering
Languages : en
Pages : 494
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Book Description
Engineering Analysis: Advanced Mathematical Methods for Engineers introduces graduate engineering students to the fundamental but advanced mathematics tools used in engineering application, especially in mechanical, aerospace, and civil engineering. Most engineering problems are described by differential equations, particularly partial differential equations (PDEs). Deformation and failure in solid structures, fluid flow, heat transfer, and mass diffusion are all governed by PDEs in general. Many physical quantities in engineering are tensors, including deformation gradient, strain rates, stresses, elastic stiffness, and thermal conductivity of composite materials. This book helps engineering graduate students develop the skills to establish the mathematical models of engineering problems and to solve the problems described by the mathematical models. - Incorporates numerous engineering examples to help students better understand mathematical concepts and methods for developing mathematical models and finding the solutions of engineering problems - Integrates the MATLAB computation tool with many MATLAB programs to enhance students' ability to solve engineering problems - Includes tensor analysis to better prepare students for advanced engineering courses such as theory of elasticity, fluid dynamics, and heat transfer. Inclusion of tensor analysis also allows a unified treatment of vector and tensor calculus
Author: David Betounes
Publisher: Springer Science & Business Media
ISBN: 9780387983004
Category : Mathematics
Languages : en
Pages : 544
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Book Description
This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.
Author: A Sinha
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
ISBN: 1842659774
Category : Mathematics
Languages : en
Pages : 221
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Book Description
Applied Differential Equations discusses the Legendre and Bessel Differential equations and its solutions. Various properties of Legendre Polynomials as well as Legendre function and Bessel functions in part one. The second order Partial Differential equation of three types is studied and the technique to solve with the separation of variables technique called Fourier's Method have been discussed in the second part. In the Appendix some applications of the Heat Equation are discussed to Model the Environment. NEW TO THE SECOND EDITION:Chapter on Matlab Solution to ODE, PDE and SDE as an appendix
Author: Margaret E. Jefferies
Publisher: Springer Science & Business Media
ISBN: 3540753869
Category : Technology & Engineering
Languages : en
Pages : 657
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Book Description
This important work is an attempt to synthesize two areas that need to be treated in tandem. The book brings together the fields of robot spatial mapping and cognitive spatial mapping, which share some common core problems. One would expect some cross-fertilization of research between the two areas to have occurred, yet this has begun only recently. There are now signs that some synthesis is happening, so this work is a timely one for students and engineers in robotics.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 428
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Book Description
Author: Don Hinton
Publisher: CRC Press
ISBN: 1000657760
Category : Mathematics
Languages : en
Pages : 414
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Book Description
Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the field as well as describing applications and concepts.
Author: Hannes Werthner
Publisher: Springer Nature
ISBN: 3031453042
Category : Computers
Languages : en
Pages : 631
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Book Description
This open access textbook introduces and defines digital humanism from a diverse range of disciplines. Following the 2019 Vienna Manifesto, the book calls for a digital humanism that describes, analyzes, and, most importantly, influences the complex interplay of technology and humankind, for a better society and life, fully respecting universal human rights. The book is organized in three parts: Part I “Background” provides the multidisciplinary background needed to understand digital humanism in its philosophical, cultural, technological, historical, social, and economic dimensions. The goal is to present the necessary knowledge upon which an effective interdisciplinary discourse on digital humanism can be founded. Part II “Digital Humanism – a System’s View” focuses on an in-depth presentation and discussion of the main digital humanism concerns arising in current digital systems. The goal of this part is to make readers aware and sensitive to these issues, including e.g. the control and autonomy of AI systems, privacy and security, and the role of governance. Part III “Critical and Societal Issues of Digital Systems” delves into critical societal issues raised by advances of digital technologies. While the public debate in the past has often focused on them separately, especially when they became visible through sensational events the aim here is to shed light on the entire landscape and show their interconnected relationships. This includes issues such as AI and ethics, fairness and bias, privacy and surveillance, platform power and democracy. This textbook is intended for students, teachers, and policy makers interested in digital humanism. It is designed for stand-alone and for complementary courses in computer science, or curricula in science, engineering, humanities and social sciences. Each chapter includes questions for students and an annotated reading list to dive deeper into the associated chapter material. The book aims to provide readers with as wide an exposure as possible to digital advances and their consequences for humanity. It includes constructive ideas and approaches that seek to ensure that our collective digital future is determined through human agency.
