05266nam 22006733u 450 991100698500332120230220233641.01-5231-0959-90-486-32023-5(CKB)3710000000318756(EBL)1897226(SSID)ssj0001117932(PQKBManifestationID)12491841(PQKBTitleCode)TC0001117932(PQKBWorkID)11106016(PQKB)10073744(MiAaPQ)EBC1897226(Au-PeEL)EBL1897226(OCoLC)868280887(EXLCZ)99371000000031875620141222d2013|||| u|| |engur|n|---|||||txtccrMathematical Handbook for Scientists and Engineers Definitions, Theorems, and Formulas for Reference and Review1st ed.Newburyport Dover Publications20131 online resource (1996 p.)Dover Civil and Mechanical EngineeringDescription based upon print version of record.0-486-41147-8 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 BibliographyChapter 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 BibliographyChapter 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 Integrals4.10. 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. Introduction6.2. 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 Expansions7.6. Zeros and Isolated Singularities<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>Dover Civil and Mechanical EngineeringMathematicsHandbooks, manuals, etcMathematicsHILCCPhysical Sciences & MathematicsHILCCMathematics - GeneralHILCCMathematicsMathematicsPhysical Sciences & MathematicsMathematics - General510/.2/1Korn Granino A(Granino Arthur),1922-2013.1124Korn Theresa M1125AU-PeELAU-PeELAU-PeELBOOK9911006985003321Mathematical handbook for scientists and engineers118658UNINA