Mathematical Handbook for Scientists and Engineers : Definitions, Theorems, and Formulas for Reference and Review

• Autore: Korn Granino A (Granino Arthur), <1922-2013.>
• Pubblicazione: Newburyport, : Dover Publications, 2013
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (1996 p.)
• Disciplina: 510/.2/1
• Soggetto topico: Mathematics; Physical Sciences & Mathematics; Mathematics - General
• Altri autori: KornTheresa M
• Note generali: Description based upon print version of record.
• Nota di contenuto: Cover; Title Page; Copyright Page; Dedication; Preface to the Second Edition; Contents; Chapter 1. Real and Complex Numbers. Elementary Algebra; 1.1. Introduction. The Real-number System; 1.2. Powers, Roots, Logarithms, and Factorials. Sum and Product Notation; 1.3. Complex Numbers; 1.4. Miscellaneous Formulas; 1.5. Determinants; 1.6. Algebraic Equations: General Theorems; 1.7. Factoring of Polynomials and Quotients of Polynomials. Partial Fractions; 1.8. Linear, Quadratic, Cubic, and Quartic Equations; 1.9. Systems of Simultaneous Equations; 1.10. Related Topics, References, and Bibliography ; Chapter 2. Plane Analytic Geometry2.1. Introduction and Basic Concepts; 2.2. The Straight Line; 2.3. Relations Involving Points and Straight Lines; 2.4. Second-order Curves (Conic Sections); 2.5. Properties of Circles, Ellipses, Hyperbolas, and Parabolas; 2.6. Higher Plane Curves; 2.7. Related Topics, References, and Bibliography; Chapter 3. Solid Analytic Geometry; 3.1. Introduction and Basic Concepts; 3.2. The Plane; 3.3. The Straight Line; 3.4. Relations Involving Points, Planes, and Straight Lines; 3.5. Quadric Surfaces; 3.6. Related Topics, References, and Bibliography ; Chapter 4. Functions and Limits. Differential and Integral Calculus4.1. Introduction; 4.2. Functions; 4.3. Point Sets, Intervals, and Regions; 4.4. Limits, Continuous Functions, and Related Topics; 4.5. Differential Calculus; 4.6. Integrals and Integration; 4.7. Mean-value Theorems. Values of Indeterminate Forms. Weierstrass's Approximation Theorems; 4.8. Infinite Series, Infinite Products, and Continued Fractions; 4.9. Tests for the Convergence and Uniform Convergence of Infinite Series and Improper Integrals ; 4.10. Representation of Functions by Infinite Series and Integrals. Power Series and Taylor's Expansion4.11. Fourier Series and Fourier Integrals; 4.12. Related Topics, References, and Bibliography; Chapter 5. Vector Analysis; 5.1. Introduction; 5.2. Vector Algebra; 5.3. Vector Calculus: Functions of a Scalar Parameter; 5.4. Scalar and Vector Fields; 5.5. Differential Operators; 5.6. Integral Theorems; 5.7. Specification of a Vector Field in Terms of Its Curl and Divergence; 5.8. Related Topics, References, and Bibliography; Chapter 6. Curvilinear Coordinate Systems; 6.1. Introduction ; 6.2. Curvilinear Coordinate Systems6.3. Representation of Vectors in Terms of Components; 6.4. Orthogonal Coordinate Systems. Vector Relations in Terms of Orthogonal Components; 6.5. Formulas Relating to Special Orthogonal Coordinate Systems; 6.6. Related Topics, References, and Bibliography; Chapter 7. Functions of a Complex Variable; 7.1. Introduction; 7.2. Functions of a Complex Variable. Regions of the Complex-number Plane; 7.3. Analytic (Regular, Holomorphic) Functions; 7.4. Treatment of Multiple-valued Functions; 7.5. Integral Theorems and Series Expansions ; 7.6. Zeros and Isolated Singularities
• Sommario/riassunto: <DIV><DIV>A reliable source of definitions, theorems, and formulas, this authoritative handbook provides convenient access to information from every area of mathematics. Coverage includes Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, numerical methods, game theory, and much more.</DIV></DIV>
• Titolo autorizzato: Mathematical handbook for scientists and engineers
• ISBN: 1-5231-0959-9; 0-486-32023-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911006985003321
• Lo trovi qui: Univ. Federico II
• Serie: Dover Civil and Mechanical Engineering