Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later, a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added.

Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers.

• Preliminaries
• Semi-norms
• Applications of the Baire-Hausdorff Theorem
• The Orthogonal Projection and F. Riesz' Representation Theorem
• The Hahn-Banach-Theorems
• Strong Convergence and Weak Convergence
• Fourier Transform and Differential Equations
• Dual Operators
• Resolvent and Spectrum
• Analytical Theory of Semi-groups
• Compact Operators
• Normed Rings and Spectral Representation
• Other Representation Theorems in Linear Spaces
• Ergodic Theory and Diffusion Theory
• The Integration of the Equations of Evolution