Fourier Analysis and Boundary Value Problems

Fourier Analysis and Boundary Value Problems

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  • Author: Enrique A. Gonzalez-Velasco
  • Publisher: Elsevier
  • ISBN: 9780080531939
  • Category : Mathematics
  • Languages : en
  • Pages : 551

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Topics are covered from a historical perspective with biographical information on key contributors to the field The text contains more than 500 exercises Includes practical applications of the equations to problems in both engineering and physics


Partial Differential Equations with Fourier Series and Boundary Value Problems

Partial Differential Equations with Fourier Series and Boundary Value Problems

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  • Author: Nakhle H. Asmar
  • Publisher: Courier Dover Publications
  • ISBN: 0486820831
  • Category : Mathematics
  • Languages : en
  • Pages : 818

Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; the Instructor Solutions Manual is available upon request. 2004 edition, with minor revisions.


Fourier Series and Boundary Value Problems

Fourier Series and Boundary Value Problems

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  • Author: Ruel Vance Churchill
  • Publisher:
  • ISBN:
  • Category : Boundary value problems
  • Languages : en
  • Pages : 224


Fourier Series and Boundary Value Problems

Fourier Series and Boundary Value Problems

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  • Author: Ruel Vance Churchill
  • Publisher:
  • ISBN:
  • Category : Boundary value problems
  • Languages : en
  • Pages : 0


Fourier Series, Transforms, and Boundary Value Problems

Fourier Series, Transforms, and Boundary Value Problems

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  • Author: J. Ray Hanna
  • Publisher: Courier Corporation
  • ISBN: 0486466736
  • Category : Mathematics
  • Languages : en
  • Pages : 370

This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.


Applied Partial Differential Equations

Applied Partial Differential Equations

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  • Author: Richard Haberman
  • Publisher:
  • ISBN: 9780321797056
  • Category : Boundary value problems
  • Languages : en
  • Pages : 0

Normal 0 false false false This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.


Elementary Applied Partial Differential Equations

Elementary Applied Partial Differential Equations

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  • Author: Richard Haberman
  • Publisher:
  • ISBN: 9780132638074
  • Category : Boundary value problems
  • Languages : en
  • Pages : 0

This work aims to help the beginning student to understand the relationship between mathematics and physical problems, emphasizing examples and problem-solving.


Boundary Value Problems and Fourier Expansions

Boundary Value Problems and Fourier Expansions

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  • Author: Charles R. MacCluer
  • Publisher: Courier Corporation
  • ISBN: 0486439011
  • Category : Mathematics
  • Languages : en
  • Pages : 382

Based on modern Sobolev methods, this text not only includes an informal introduction that develops students' physical and mathematical intuition, but also introduces Hilbert space in its natural environment, and then poses and solve standard problems. The final part covers Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 64 figures. 2004 edition. Exercises.


Fourier Series and Boundary Value Problems

Fourier Series and Boundary Value Problems

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  • Author: Ruel V. Churchill
  • Publisher:
  • ISBN:
  • Category :
  • Languages : en
  • Pages :


Boundary Value Problems

Boundary Value Problems

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  • Author: David L. Powers
  • Publisher: Elsevier
  • ISBN: 1483269787
  • Category : Mathematics
  • Languages : en
  • Pages : 366

Boundary Value Problems is a text material on partial differential equations that teaches solutions of boundary value problems. The book also aims to build up intuition about how the solution of a problem should behave. The text consists of seven chapters. Chapter 1 covers the important topics of Fourier Series and Integrals. The second chapter deals with the heat equation, introducing separation of variables. Material on boundary conditions and Sturm-Liouville systems is included here. Chapter 3 presents the wave equation; estimation of eigenvalues by the Rayleigh quotient is mentioned briefly. The potential equation is the topic of Chapter 4, which closes with a section on classification of partial differential equations. Chapter 5 briefly covers multidimensional problems and special functions. The last two chapters, Laplace Transforms and Numerical Methods, are discussed in detail. The book is intended for third and fourth year physics and engineering students.