Author: Karl E. Gustafson
Publisher: Courier Corporation
ISBN: 0486140873
Category : Mathematics
Languages : en
Pages : 500
Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Introduction to Partial Differential Equations and Hilbert Space Methods
Author: Karl E. Gustafson
Publisher: Courier Corporation
ISBN: 0486140873
Category : Mathematics
Languages : en
Pages : 500
Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Publisher: Courier Corporation
ISBN: 0486140873
Category : Mathematics
Languages : en
Pages : 500
Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Hilbert Space Methods in Partial Differential Equations
Author: Ralph E. Showalter
Publisher: Courier Corporation
ISBN: 0486135799
Category : Mathematics
Languages : en
Pages : 226
Book Description
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Publisher: Courier Corporation
ISBN: 0486135799
Category : Mathematics
Languages : en
Pages : 226
Book Description
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Introduction to Hilbert Space Methods in Partial Differential Equations
Author: Jaak Peetre
Publisher:
ISBN:
Category :
Languages : en
Pages : 394
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 394
Book Description
An Introduction to Hilbert Space Methods in Partial Differential Equations
Author: R. E. Showalter
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 298
Book Description
Lecture notes.
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 298
Book Description
Lecture notes.
Introduction to Partial Differential Equations and Hilbert Space Methods Partial Differential Equations
Author: Karl E. Gustafson
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Hilbert Space Methods for Partial Differential Equations
Author: Ralph E. Showalter
Publisher:
ISBN:
Category :
Languages : en
Pages : 196
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 196
Book Description
Partial Differential Equations
Author: Wolfgang Arendt
Publisher: Springer Nature
ISBN: 303113379X
Category : Mathematics
Languages : en
Pages : 463
Book Description
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.
Publisher: Springer Nature
ISBN: 303113379X
Category : Mathematics
Languages : en
Pages : 463
Book Description
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.
Hilbert Space Methods for Partial Differential Equations
Author: R. E. Showalter
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 196
Book Description
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 196
Book Description
Modern Methods in Partial Differential Equations
Author: Martin Schechter
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 274
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 274
Book Description
Applied Analysis by the Hilbert Space Method
Author: Samuel S. Holland
Publisher: Courier Corporation
ISBN: 0486139298
Category : Mathematics
Languages : en
Pages : 578
Book Description
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.
Publisher: Courier Corporation
ISBN: 0486139298
Category : Mathematics
Languages : en
Pages : 578
Book Description
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.