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Books on First-Order Partial Differential Equations

Bleecker, D. and Csordas, G., Basic Partial Differential Equations, CRC Press, Boca Raton, 1992.
Caratheodory, C., Calculus of Variations and Partial Differential Equations of First Order, 3rd Edition, American Mathematical Society, 1999.
Jeffery, A.,Quasilinear Hyperbolic Systems and Waves, Pitman, London, 1976.
Kamke, E.,Differentialgleichungen: Lösungsmethoden und Lösungen, II, Partielle Differentialgleichungen Erster Ordnung für eine gesuchte Funktion, Akad. Verlagsgesellschaft Geest & Portig, Leipzig, 1965.
LeVeque, R. J., Numerical Methods for Conservation Laws, Birkhäuser, Boston, 1992.
Lions, P.-L.,Generalized Solutions of Hamilton–Jacobi Equations, Pitman, Boston, 1982.
Lopez, G., Partial Differential Equations of First Order and Their Applications to Physics, World Scientific, Singapure, 2000.
Melikyan, A. A., Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games, Birkhäuser, Boston, 1998.
Polyanin, A. D. and Manzhirov, A. V., Handbook of Mathematics for Engineers and Scientists (Chapters 13 and T7), Chapman & Hall/CRC Press, Boca Raton, 2006.
A. D. Polyanin, V. F. Zaitsev, and A. Moussiaux, Handbook of First Order Partial Differential Equations, Taylor & Francis, London, 2002.
Rhee, H., Aris, R., and Amundson, N. R., First Order Partial Differential Equations, Vol. 1, Prentice Hall, Englewood Cliffs, New Jersey, 1986.
Rhee, H., Aris, R., and Amundson, N. R., First Order Partial Differential Equations, Vol. 2, Prentice Hall, Englewood Cliffs, New Jersey, 1989.
Serre, D.,Systémes de Lois de Conservation, Tome I et II, Diderot, Paris, 1996.
Schiesser, W. E., Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs, CRC Press, Boca Raton, 1993.
Subbotin, A. I., Generalized Solutions of First Order PDEs: the Dynamical Optimization Perspective, Birkhäuser, Boston, 1995.
Tran, D. V., Tsuji, M., and Nguyen, D. T. S., The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations, Chapman & Hall, London, 1999.

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