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Page 1: HW1-0001people.physics.tamu.edu/pope/HW1-all.pdf · 614—Maths Methods in Theoretical Physics Problem Sheet 1 (1) Prove that if one defines the derivative of f (z) = u(x, y) + iv(x,
Page 2: HW1-0001people.physics.tamu.edu/pope/HW1-all.pdf · 614—Maths Methods in Theoretical Physics Problem Sheet 1 (1) Prove that if one defines the derivative of f (z) = u(x, y) + iv(x,
Page 3: HW1-0001people.physics.tamu.edu/pope/HW1-all.pdf · 614—Maths Methods in Theoretical Physics Problem Sheet 1 (1) Prove that if one defines the derivative of f (z) = u(x, y) + iv(x,
Page 4: HW1-0001people.physics.tamu.edu/pope/HW1-all.pdf · 614—Maths Methods in Theoretical Physics Problem Sheet 1 (1) Prove that if one defines the derivative of f (z) = u(x, y) + iv(x,