This textbook covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. It uses the 'spiral' method of teaching à covering the same topic several times with increasing depth and range of application in order to give the reader an intuitive understanding of the subject.
This textbook covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. It uses the 'spiral' method of teaching à covering the same topic several times with increasing depth and range of application in order to give the reader an intuitive understanding of the subject.
1. Linear transformations of the plane 2. Eigenvectors and eigenvalues 3. Linear differential equations in the plane 4. Scalar products 5. Calculus in the plane 6. Applications of differential calculus 7. Differential forms and line integrals 8. Double integrals 9. Gaussian optics 10. Vector spaces and linear transformations 11. Determinants Index.
1. Linear transformations of the plane 2. Eigenvectors and eigenvalues 3. Linear differential equations in the plane 4. Scalar products 5. Calculus in the plane 6. Applications of differential calculus 7. Differential forms and line integrals 8. Double integrals 9. Gaussian optics 10. Vector spaces and linear transformations 11. Determinants Index.
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