The Online Books Page

Banach spaces

See also what's at Wikipedia, your library, or elsewhere.

• Functions of complex variables
• Generalized spaces
• Topology

• Banach algebras
• Hilbert space

• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)
• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)

• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)

• Harmonic Analysis and the Theory of Probability (Berkeley and Los Angeles: University of California Press, 1955), by S. Bochner (page images at HathiTrust)
• Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (page images at Cornell)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)

• A Presentation of the Theory of Hermite's Form of Lamé's Equation, by J. Brace Chittenden (page images at Cornell)

• An Elementary Treatise on Spherical Harmonics and Subjects Connected With Them, by N. M. Ferrers (page images at Cornell)

• Grassmann's Space Analysis, by E. W. Hyde (page images at Cornell)

• The Contraction Mapping Principle and Some Applications (EJDE monograph #9, 2009), by R. M. Brooks and Klaus Schmitt (PDF with commentary at ams.org)
• Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)
• Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.org)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)
• Chebyshev and Fourier Spectral Methods (second edition), by John P. Boyd (PDF with commentary at Citeseer)

Items below (if any) are from related and broader terms.

• A First Course in Complex Analysis (electronic edition, c2017), by Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka (PDF with commentary at sfsu.edu)
• Complex Variables (revised edition, c2004), by Robert B. Ash and W. Phil Novinger (PDF files at Illinois)
• Convex Geometric Analysis (1999), ed. by Keith M. Ball and Vitali D. Milman (PDF files with commentary at msri.org)
• Current Topics in Complex Algebraic Geometry (1995), ed. by C. Herbert Clemens and János Kollár (PDF files with commentary at msri.org)
• Analytic Functions of a Complex Variable (Carus Mathematical Monograph #2; Chicago: Pub. for the Mathematical Association of America by the Open Court Pub. Co., c1926), by David Raymond Curtiss (page images at HathiTrust)
• Lectures Introductory to the Theory of Functions of Two Complex Variables, by Andrew Russell Forsyth (page images at Cornell)
• Fourier Transforms in the Complex Domain (American Mathematical Society Colloquium Publications v19, 1934), by Raymond E. A. C. Paley and Norbert Wiener (multiple formats at archive.org)

• Several Complex Variables (1999), ed. by Michael Schneider and Yum-Tong Siu (PDF files with commentary at msri.org)

• Complexity, Global Politics, and National Security (1997), ed. by David S. Alberts and Thomas J. Czerwinski (PDF at dtic.mil)

• Complex Analysis (c2001), by George L. Cain (PDF files with commentary at gatech.edu)

• Elementary Differential Equations With Boundary Value Problems (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Notes on Diffy Qs: Differential Equations for Engineers (online edition, c2013), by Jiří Lebl (illustrated HTML and PDF with commentary at jirka.org)
• Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations With Boundary Value Problems (free online edition, originally published 2000), by William F. Trench (PDF at trinity.edu)
• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)

• Holomorphic Spaces (1998), ed. by Sheldon Jay Axler, John E. McCarthy, and Donald Sarason (PDF files with commentary at msri.org)

• Abel's Theorem and the Allied Theory, Including the Theory of the Theta Functions, by H. F. Baker (page images at Cornell)

• Applications of Global Analysis in Mathematical Physics (1974), by Jerrold E. Marsden (PDF files at Caltech)
• The Convenient Setting of Global Analysis, by Andreas Kriegl and Peter W. Michor (PDF in Austria)

• Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical Delays (EJDE monograph #5, 2004), by A. N. Gorban' (PDF with commentary at ams.org)
• Exploring Discrete Dynamics: The DDLab Manual (Frome, UK: Luniver Press, c2011), by Andrew Wuensche (PDF and page images with commentary in the UK)
• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• Dynamics of Partial Differential Equations (2004-; all articles more than about 4 years old, and some later articles, free to read) (partial serial archives)

• Even in Chaos: Education in Times of Emergency (New York: Fordham University Press, and Center for International Humanitarian Coooperation, 2010), ed. by Kevin M. Cahill (PDF with commentary at bepress.com)
• The Emperor's Nightingale: Restoring the Integrity of the Corporation in the Age of Shareholder Activism, by Robert A. G. Monks (PDF files at ragm.com)
• Chaotic Logic: Language, Thought and Reality From the Perspective of Complex Systems Science (prepublication version), by Ben Goertzel (HTML at goertzel.org)

• Strange Attractors (c1995), by Jeffrey A. Carver (PDF at starrigger.net)

• Chaos Bound: Orderly Disorder in Contemporary Literature (Ithaca, NY and London: Cornell University Press, c1990), by N. Katherine Hayles (PDF files at Project MUSE)

• HARPA: A Versatile Three-Dimensional Hamiltonian Ray-Tracing Program for Acoustic Waves in the Atmosphere Above Irregular Terrain (Boulder, CO: U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1986), by R. Michael Jones, J. P. Riley, and T. M. Georges (page images at HathiTrust)

• A General Analytical Solution to the Problem of Photogrammetry (declassified report originally distributed from Aberdeen Proving Ground, MD: Ballistic Research Laboratories, 1959), by Hellmut H. Schmid (PDF with commentary at dtic.mil)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Noncommutative Geometry, Quantum Fields and Motives (prepublication version, ca. 2008), by Alain Connes and Matilde Marcolli (PDF at alainconnes.org)
• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF and other formats at arxiv.org)

• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

More items available under broader and related terms at left.