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Artículo: AMZ-B0BCNX92XP

Differential Equations and Linear Algebra: Undergraduate Mathematics, Science and Engineering, Chapters 1-7

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A textbook for science and advanced engineering mathematics, Volume I. Ordinary differential equations. Linear algebra. Volume I, chapters 1-7. First edition 661 pages (2022). Volume II, chapters 9-12. First edition 479 pages (2022). Contents Volume I: Ch1: Fundamentals, Ch2: First Order Differential Equations, Ch3: Linear Algebraic Equations No Matrices, Ch4: Numerical Methods with Applications, Ch5: Linear Algebra, Ch6: Scalar Linear Differential Equations, Ch7: Topics in Linear Differential Equations, Appendix: Background Topics, Index , Bibliography, Sources: Book PDF, Solutions PDF. Contents Volume II: Ch8: Laplace Transform, Ch9 Eigenanalysis, Ch10: Phase Plane Methods, Ch11: Systems of Differential Equations, Ch12: Series Methods, Appendix: Background Topics, Index, Bibliography, Sources: Book PDF, Solutions PDF. The book originated as a private text used for lectures at Utah, 1991-2019. The Pearson textbook Differential Equations and Linear Algebra by Edwards and Penney was a mainstay text, its topics appearing in the university syllabus. The project started after the 1998 Springer publication of Analytical and Computational Methods of Advanced Engineering Mathematics (Gustafson-Wilcox). The private text grew into a volume of 1300 pages, not all topics used each semester. Unique features: A chapter on linear algebraic equations, no matrices used, which reviews, explains and extends college algebra courses. Matrices are introduced in a later linear algebra chapter, then used later in phase plane analysis and systems of differential equations. Determinant theory is presented as applied mathematics, assuming a minimal college algebra background. Numerical methods for differential equations are presented as an extension of calculus topics: rectangular rule, trapezidal rule, Simpson's rule. The chapter on systems of differential equations starts with a 20-page section of 18 systems with their solutions, full details explained in later sections on spectral, Putzer, Ziebur, Cayley-Hamilton and Laplace methods. The textbook examples and matched exercises use science and engineering student suggestions for clarity of exposition, each step explained or referenced. The PDF solution manual contains odd-numbered solutions for the 3591 exercises. Computer algebra system Maple is used for computation and answer checks. Computer code in the free PDF book and free PDF solution manual can be mouse-copied and pasted, each fragment a complete working example. The last page of the book has internet links for the PDF files.

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