Inside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions) / / by Paul J. Nahin
| Inside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions) / / by Paul J. Nahin |
| Autore | Nahin Paul J |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (XXIII, 412 p. 34 illus., 1 illus. in color.) |
| Disciplina | 515/.4 |
| Collana | Undergraduate Lecture Notes in Physics |
| Soggetto topico |
Mathematical physics
Mathematical analysis Engineering mathematics Engineering - Data processing Sequences (Mathematics) Integral equations Mathematical Methods in Physics Integral Transforms and Operational Calculus Mathematical and Computational Engineering Applications Sequences, Series, Summability Integral Equations |
| ISBN | 1-4939-1277-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | From the Contents: Preface -- Introduction -- ‘Easy’ Integrals -- Feynman’s Favorite Trick -- Gamma and Beta Function Integrals -- Using Power Series to Evaluate Integrals -- Seven Not-So-Easy Integrals -- Using √(-1) to Evaluate Integrals -- Contour Integration -- Epilogue -- Solutions to the Challenge Problems. |
| Record Nr. | UNINA-9910300406903321 |
Nahin Paul J
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 | ||
| Lo trovi qui: Univ. Federico II | ||
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Integral equations, boundary value problems and related problems [[electronic resource] ] : Yinchuan, Ningxia, China, 19-23 August 2012 / / edited by Xing Li
| Integral equations, boundary value problems and related problems [[electronic resource] ] : Yinchuan, Ningxia, China, 19-23 August 2012 / / edited by Xing Li |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.4 |
| Altri autori (Persone) | LiXing <1964-> |
| Soggetto topico |
Boundary value problems
Integral equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4452-88-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; CONTENTS; Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis L.P. Wang, Z.L. Xu and Y. Y. Qiao; 1. Introduction; 2. Preliminaries; 3. The main results; References; Some Results Related with Mobius Transformation in Clifford Analysis Z.X. Zhang; 1. Introduction and Preliminaries; 2. Hyper-complex Forms of Equations for Plane and Sphere in R3; 3. Hyper-complex Forms of Equations for Symmetric Points with respect to Plane and Sphere in R3; 4. Mobius Transformation
5. Integral Formulas for Change of Variables under Mobius TransformationAcknowledgements; References; The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials J.Q. Liu, X. Li, S.Z. Dong, X. Y. Yao and C.F. Wang; 1 Introduction; 2 Description of the problem; 3. Conversion of the problem; 4. Solution of the problem; 5 Numerical results and discussion; 6 Conclusions; Acknowledgements; References; Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating-Substrate Structure S.H. Ding and X. Li 1. Introduction2. Description of the problem; 3. Derivation of the singular integral equations; 4. Results and discussion; Acknowledgements; References; A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis L.F. Gu; 1. Introduction and preliminaries; 2. Some properties for triharmonic functions; 3. Riemann boundary value problem for triharmonic functions; 4. Existence of solutions for Riemann boundary value problem for triharmonic functions; References; A New Dynamical Systems Method for Nonlinear Operator Equations X.J. Luo, F.C. Li and S.H. Yang I. IntroductionII. DSM for nonlinear equations; III. Stability of the solution; References; A Class of Integral Inequality and Application W.S. Wang; 1. Introduction; 2. Main result; 3. Application; References; An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems W.S. Wang and B. W. Zhang; 1. Introduction; 2. Formulation and numerical implementation; 3. Friction laws and spatial discretization; 4. Symplectic schemes of evolution time step; 5. Numerical experiments; 6. Conclusions; Acknowledgements; References High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane H.M. Huang1. Introduction; 2. The integral representation for the solution; 3. Asymptotic approximations; Acknowledgement; References; An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations Z.L. Xu and L. Yan; 1. Introduction; 2. Problem transformation; 3. The existence and uniqueness of solution for problem B; References; Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces H.P. Huang and X. Li; 1. Introduction; 2. Main results; 3. Applications; References Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems B. Q. Yan and X. Liu |
| Record Nr. | UNINA-9910464125303321 |
| Hackensack, N.J., : World Scientific, 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral equations, boundary value problems and related problems : dedicated to Professor Chien-Ke Lu on the occasion of his 90th birthday, Yinchuan, Ningxia, China, 19-23 August 2012 / / editor, Xing Li, Ningixa University, China
| Integral equations, boundary value problems and related problems : dedicated to Professor Chien-Ke Lu on the occasion of his 90th birthday, Yinchuan, Ningxia, China, 19-23 August 2012 / / editor, Xing Li, Ningixa University, China |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xi, 285 pages) : illustrations |
| Disciplina | 515/.4 |
| Collana | Gale eBooks |
| Soggetto topico |
Boundary value problems
Integral equations |
| ISBN | 981-4452-88-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; CONTENTS; Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis L.P. Wang, Z.L. Xu and Y. Y. Qiao; 1. Introduction; 2. Preliminaries; 3. The main results; References; Some Results Related with Mobius Transformation in Clifford Analysis Z.X. Zhang; 1. Introduction and Preliminaries; 2. Hyper-complex Forms of Equations for Plane and Sphere in R3; 3. Hyper-complex Forms of Equations for Symmetric Points with respect to Plane and Sphere in R3; 4. Mobius Transformation
5. Integral Formulas for Change of Variables under Mobius TransformationAcknowledgements; References; The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials J.Q. Liu, X. Li, S.Z. Dong, X. Y. Yao and C.F. Wang; 1 Introduction; 2 Description of the problem; 3. Conversion of the problem; 4. Solution of the problem; 5 Numerical results and discussion; 6 Conclusions; Acknowledgements; References; Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating-Substrate Structure S.H. Ding and X. Li 1. Introduction2. Description of the problem; 3. Derivation of the singular integral equations; 4. Results and discussion; Acknowledgements; References; A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis L.F. Gu; 1. Introduction and preliminaries; 2. Some properties for triharmonic functions; 3. Riemann boundary value problem for triharmonic functions; 4. Existence of solutions for Riemann boundary value problem for triharmonic functions; References; A New Dynamical Systems Method for Nonlinear Operator Equations X.J. Luo, F.C. Li and S.H. Yang I. IntroductionII. DSM for nonlinear equations; III. Stability of the solution; References; A Class of Integral Inequality and Application W.S. Wang; 1. Introduction; 2. Main result; 3. Application; References; An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems W.S. Wang and B. W. Zhang; 1. Introduction; 2. Formulation and numerical implementation; 3. Friction laws and spatial discretization; 4. Symplectic schemes of evolution time step; 5. Numerical experiments; 6. Conclusions; Acknowledgements; References High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane H.M. Huang1. Introduction; 2. The integral representation for the solution; 3. Asymptotic approximations; Acknowledgement; References; An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations Z.L. Xu and L. Yan; 1. Introduction; 2. Problem transformation; 3. The existence and uniqueness of solution for problem B; References; Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces H.P. Huang and X. Li; 1. Introduction; 2. Main results; 3. Applications; References Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems B. Q. Yan and X. Liu |
| Record Nr. | UNINA-9910787694003321 |
| Hackensack, N.J., : World Scientific, 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral equations, boundary value problems and related problems : dedicated to Professor Chien-Ke Lu on the occasion of his 90th birthday, Yinchuan, Ningxia, China, 19-23 August 2012 / / editor, Xing Li, Ningixa University, China
| Integral equations, boundary value problems and related problems : dedicated to Professor Chien-Ke Lu on the occasion of his 90th birthday, Yinchuan, Ningxia, China, 19-23 August 2012 / / editor, Xing Li, Ningixa University, China |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xi, 285 pages) : illustrations |
| Disciplina | 515/.4 |
| Collana | Gale eBooks |
| Soggetto topico |
Boundary value problems
Integral equations |
| ISBN | 981-4452-88-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; CONTENTS; Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis L.P. Wang, Z.L. Xu and Y. Y. Qiao; 1. Introduction; 2. Preliminaries; 3. The main results; References; Some Results Related with Mobius Transformation in Clifford Analysis Z.X. Zhang; 1. Introduction and Preliminaries; 2. Hyper-complex Forms of Equations for Plane and Sphere in R3; 3. Hyper-complex Forms of Equations for Symmetric Points with respect to Plane and Sphere in R3; 4. Mobius Transformation
5. Integral Formulas for Change of Variables under Mobius TransformationAcknowledgements; References; The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials J.Q. Liu, X. Li, S.Z. Dong, X. Y. Yao and C.F. Wang; 1 Introduction; 2 Description of the problem; 3. Conversion of the problem; 4. Solution of the problem; 5 Numerical results and discussion; 6 Conclusions; Acknowledgements; References; Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating-Substrate Structure S.H. Ding and X. Li 1. Introduction2. Description of the problem; 3. Derivation of the singular integral equations; 4. Results and discussion; Acknowledgements; References; A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis L.F. Gu; 1. Introduction and preliminaries; 2. Some properties for triharmonic functions; 3. Riemann boundary value problem for triharmonic functions; 4. Existence of solutions for Riemann boundary value problem for triharmonic functions; References; A New Dynamical Systems Method for Nonlinear Operator Equations X.J. Luo, F.C. Li and S.H. Yang I. IntroductionII. DSM for nonlinear equations; III. Stability of the solution; References; A Class of Integral Inequality and Application W.S. Wang; 1. Introduction; 2. Main result; 3. Application; References; An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems W.S. Wang and B. W. Zhang; 1. Introduction; 2. Formulation and numerical implementation; 3. Friction laws and spatial discretization; 4. Symplectic schemes of evolution time step; 5. Numerical experiments; 6. Conclusions; Acknowledgements; References High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane H.M. Huang1. Introduction; 2. The integral representation for the solution; 3. Asymptotic approximations; Acknowledgement; References; An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations Z.L. Xu and L. Yan; 1. Introduction; 2. Problem transformation; 3. The existence and uniqueness of solution for problem B; References; Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces H.P. Huang and X. Li; 1. Introduction; 2. Main results; 3. Applications; References Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems B. Q. Yan and X. Liu |
| Record Nr. | UNINA-9910807429403321 |
| Hackensack, N.J., : World Scientific, 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||