Systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters).
Systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters).
Todd Kapitula teaches at Calvin College, Michigan, and previously held posts at the University of New Mexico, Virginia Tech, and the University of Utah. He is the author or coauthor of over 45 peer-reviewed research articles - one of which won the SIAM Outstanding Paper Prize - and has been awarded several National Science Foundation research grants. He coauthored, with Keith Promislow, the graduate-level text, Spectral and Dynamical Stability of Nonlinear Waves (2013). He is a member of SIAM and participates in the SIAM activity groups (SIAGs) on Applied Mathematics Education, Dynamical Systems, and Nonlinear Waves and Coherent Structures.
Inhaltsangabe
1. Preface 2. Chapter 1: Essentials of linear algebra 3. Chapter 2: Scalar first-order linear differential equations 4. Chapter 3: Systems of first-order linear differential equations 5. Chapter 4: Scalar higher-order linear differential equations 6. Chapter 5: Discontinuous forcing and the Laplace transform 7. Chapter 6: Odds and ends 8. Bibliography 9. Index.