Author: Frank Bowman
Publisher: Courier Corporation
ISBN: 0486152995
Category : Mathematics
Languages : en
Pages : 148
Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Introduction to Bessel Functions
Author: Frank Bowman
Publisher: Courier Corporation
ISBN: 0486152995
Category : Mathematics
Languages : en
Pages : 148
Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Publisher: Courier Corporation
ISBN: 0486152995
Category : Mathematics
Languages : en
Pages : 148
Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Introduction to Bessel Functions
Author: Frank Bowman
Publisher: Courier Corporation
ISBN: 0486604624
Category : Mathematics
Languages : en
Pages : 148
Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Publisher: Courier Corporation
ISBN: 0486604624
Category : Mathematics
Languages : en
Pages : 148
Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Bessel Functions and Their Applications
Author: B G Korenev
Publisher: CRC Press
ISBN: 9780203216927
Category : Mathematics
Languages : en
Pages : 290
Book Description
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro
Publisher: CRC Press
ISBN: 9780203216927
Category : Mathematics
Languages : en
Pages : 290
Book Description
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro
Introduction to Bessel Functions
Author: Frank Bowman
Publisher: Dover Publications
ISBN: 9780486604626
Category : Mathematics
Languages : en
Pages : 164
Book Description
Physicists, mathematics students, designers of vibrating systems, mechanical, electrical, and civil engineers, aero- and hydro-dynamicists, and teachers of mathematics, physics, and engineering will find this book a full, clear introduction to the properties and applications of Bessel functions. Practically all of the advanced mathematics needed is developed in the text. Students who have had some calculus and the elements of differential equations should find this work completely self-contained and suitable for self-study, classroom use, or as a supplement to more general texts. Topics include Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. More than 200 problems throughout the book enable students to test and extend their understanding of the theory and applications of Bessel functions.
Publisher: Dover Publications
ISBN: 9780486604626
Category : Mathematics
Languages : en
Pages : 164
Book Description
Physicists, mathematics students, designers of vibrating systems, mechanical, electrical, and civil engineers, aero- and hydro-dynamicists, and teachers of mathematics, physics, and engineering will find this book a full, clear introduction to the properties and applications of Bessel functions. Practically all of the advanced mathematics needed is developed in the text. Students who have had some calculus and the elements of differential equations should find this work completely self-contained and suitable for self-study, classroom use, or as a supplement to more general texts. Topics include Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. More than 200 problems throughout the book enable students to test and extend their understanding of the theory and applications of Bessel functions.
A Treatise on the Theory of Bessel Functions
Author: George N. Watson
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 822
Book Description
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 822
Book Description
Series of Bessel and Kummer-Type Functions
Author: Árpád Baricz
Publisher: Springer
ISBN: 3319743503
Category : Mathematics
Languages : en
Pages : 218
Book Description
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
Publisher: Springer
ISBN: 3319743503
Category : Mathematics
Languages : en
Pages : 218
Book Description
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
Introduction to Ordinary Differential Equations
Author: Albert L. Rabenstein
Publisher: Academic Press
ISBN: 1483226220
Category : Mathematics
Languages : en
Pages : 444
Book Description
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Publisher: Academic Press
ISBN: 1483226220
Category : Mathematics
Languages : en
Pages : 444
Book Description
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Special Functions
Author: Nico M. Temme
Publisher: John Wiley & Sons
ISBN: 1118030818
Category : Mathematics
Languages : en
Pages : 392
Book Description
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Publisher: John Wiley & Sons
ISBN: 1118030818
Category : Mathematics
Languages : en
Pages : 392
Book Description
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Theoretical Aspects
Author: Alexander Apelblat
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110681811
Category : Mathematics
Languages : en
Pages : 304
Book Description
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case. This volume focuses on properties of the functions and mathematical operations with respect to the order.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110681811
Category : Mathematics
Languages : en
Pages : 304
Book Description
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case. This volume focuses on properties of the functions and mathematical operations with respect to the order.
Special Functions for Scientists and Engineers
Author: W. W. Bell
Publisher: Courier Corporation
ISBN: 0486317560
Category : Technology & Engineering
Languages : en
Pages : 274
Book Description
Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.
Publisher: Courier Corporation
ISBN: 0486317560
Category : Technology & Engineering
Languages : en
Pages : 274
Book Description
Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.