Fundamentals of complex analysis : engineering, science, and mathematics / / Edward B. Saff, Arthur David Snider |
Autore | Saff E. B. <1944-> |
Edizione | [Third edition, Pearson new international edition.] |
Pubbl/distr/stampa | Harlow, Essex : , : Pearson, , [2014] |
Descrizione fisica | 1 online resource (ii, 516 pages) : illustrations |
Disciplina | 515.9 |
Collana | Always learning |
Soggetto topico | Functions of complex variables |
ISBN | 1-292-03688-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Complex numbers -- 2. Analytic functions -- 3. Elementary functions -- 4. Complex integration -- 5. Series representations for analytic functions -- 6. Residue theory -- 7. Conformal mapping -- 8. The transforms of applied mathematics |
Record Nr. | UNINA-9910153116003321 |
Saff E. B. <1944-> | ||
Harlow, Essex : , : Pearson, , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Fundamentals of matrix analysis with applications / / Edward Barry Saff, Arthur David Snider |
Autore | Saff E. B. <1944-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 |
Descrizione fisica | 1 online resource (410 p.) |
Disciplina | 512.9/434 |
Soggetto topico |
Matrices
Algebras, Linear Orthogonalization methods Eigenvalues |
Soggetto genere / forma | Electronic books. |
ISBN |
1-118-99632-1
1-118-95368-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Copyright Page; Contents; Preface; PART I INTRODUCTION: THREE EXAMPLES; Chapter 1 Systems of Linear Algebraic Equations; 1.1 Linear Algebraic Equations; 1.2 Matrix Representation of Linear Systems and the Gauss-Jordan Algorithm ; 1.3 The Complete Gauss Elimination Algorithm; 1.4 Echelon Form and Rank; 1.5 Computational Considerations; 1.6 Summary; Chapter 2 Matrix Algebra; 2.1 Matrix Multiplication; 2.2 Some Physical Applications of Matrix Operators; 2.3 The Inverse and the Transpose; 2.4 Determinants; 2.5 Three Important Determinant Rules; 2.6 Summary; Group Projects for Part I
A. LU Factorization B. Two-Point Boundary Value Problem; C. Electrostatic Voltage; D. Kirchhoff's Laws; E. Global Positioning Systems; F. Fixed-Point Methods; PART II INTRODUCTION: THE STRUCTURE OF GENERAL SOLUTIONS TO LINEAR ALGEBRAIC EQUATIONS; Chapter 3 Vector Spaces; 3.1 General Spaces, Subspaces, and Spans; 3.2 Linear Dependence; 3.3 Bases, Dimension, and Rank; 3.4 Summary; Chapter 4 Orthogonality; 4.1 Orthogonal Vectors and the Gram-Schmidt Algorithm; 4.2 Orthogonal Matrices; 4.3 Least Squares; 4.4 Function Spaces; 4.5 Summary; Group Projects for Part II; A. Rotations and Reflections B. Householder Reflectors C. Infinite Dimensional Matrices; PART III INTRODUCTION: REFLECT ON THIS; Chapter 5 Eigenvectors and Eigenvalues; 5.1 Eigenvector Basics; 5.2 Calculating Eigenvalues and Eigenvectors; 5.3 Symmetric and Hermitian Matrices; 5.4 Summary; Chapter 6 Similarity; 6.1 Similarity Transformations and Diagonalizability; 6.2 Principle Axes and Normal Modes; 6.3 Schur Decomposition and Its Implications; 6.4 The Singular Value Decomposition; 6.5 The Power Method and the QR Algorithm; 6.6 Summary; Chapter 7 Linear Systems of Differential Equations; 7.1 First-Order Linear Systems 7.2 The Matrix Exponential Function 7.3 The Jordan Normal Form; 7.4 Matrix Exponentiation via Generalized Eigenvectors; 7.5 Summary; Group Projects for Part III; A. Positive Definite Matrices; B. Hessenberg Form; C. Discrete Fourier Transform; D. Construction of the SVD; E. Total Least Squares; F. Fibonacci Numbers; Answers to Odd Numbered Exercises; Index; EULA |
Record Nr. | UNINA-9910460853703321 |
Saff E. B. <1944-> | ||
Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fundamentals of matrix analysis with applications / / Edward Barry Saff, Arthur David Snider |
Autore | Saff E. B. <1944-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 |
Descrizione fisica | 1 online resource (410 pages) : illustrations |
Disciplina | 512.9/434 |
Soggetto topico |
Algebras, Linear
Eigenvalues Matrices Orthogonalization methods |
ISBN |
1-118-95368-1
1-118-99632-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910795945503321 |
Saff E. B. <1944-> | ||
Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Fundamentals of matrix analysis with applications / / Edward Barry Saff, Arthur David Snider |
Autore | Saff E. B. <1944-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 |
Descrizione fisica | 1 online resource (410 pages) : illustrations |
Disciplina | 512.9/434 |
Soggetto topico |
Algebras, Linear
Eigenvalues Matrices Orthogonalization methods |
ISBN |
1-118-95368-1
1-118-99632-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910822763203321 |
Saff E. B. <1944-> | ||
Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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