Advanced Engineering Mathematics
This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities...
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This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know.Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement. Booknews In updating the 1988 text, Greenberg (mechanical engineering, U. of Delaware, Newark) has incorporated a computer algebra system (namely, Maple, with an instructor's manual and student supplement available). No longer assuming that science and engineering students have completed a course in ordinary differential equations, he covers such in the first part. The other sections span: linear algebra, multivariate calculus and field theory, Fourier methods and partial differential equations, and complex variable theory. Contains chapter reviews, exercises, selected formulas, and tables. Annotation c. by Book News, Inc., Portland, Or.
Pt. IOrdinary Differential Equations1Introduction to Differential Equations12Equations of First Order183Linear Differential Equations of Second Order and Higher734Power Series Solutions1735Laplace Transform2476Quantitative Methods: Numerical Solution of Differential Equations2927Qualitative Methods: Phase Plane and Nonlinear Differential Equations337Pt. IILinear Algebra8Systems of Linear Algebraic Equations; Gauss Elimination3919Vector Space41210Matrices and Linear Equations46511The Eigenvalue Problem54112Extension to Complex Case (Optional)599Pt. IIIScalar and Vector Field Theory13Differential Calculus of Functions of Several Variables61314Vectors in 3-Space68315Curves, Surfaces, and Volumes71416Scalar and Vector Field Theory757Pt. IVFourier Methods and Partial Differential Equations17Fourier Series, Fourier Integral, Fourier Transform84418Diffusion Equation94319Wave Equation101720Laplace Equation1058Pt. VComplex Variable Theory21Functions of a Complex Variable110822Conformal Mapping115023The Complex Integral Calculus118224Taylor Series, Laurent Series, and the Residue Theorem1209References1260App. AReview of Partial Fraction Expansions1263App. BExistence and Uniqueness of Solutions of Systems of Linear Algebraic Equations1267App. CTable of Laplace Transforms1271App. DTable of Fourier Transforms1274App. ETable of Fourier Cosine and Sine Transforms1276App. FTable of Conformal Maps1278Answers to Selected Exercises1282Index1315
\ BooknewsIn updating the 1988 text, Greenberg (mechanical engineering, U. of Delaware, Newark) has incorporated a computer algebra system (namely, Maple, with an instructor's manual and student supplement available). No longer assuming that science and engineering students have completed a course in ordinary differential equations, he covers such in the first part. The other sections span: linear algebra, multivariate calculus and field theory, Fourier methods and partial differential equations, and complex variable theory. Contains chapter reviews, exercises, selected formulas, and tables. Annotation c. by Book News, Inc., Portland, Or.\ \
