Mathematics WWW Virtual Library


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Calculus, Analysis

o Multivariable Calculus by George Cain & James Herod (used at Georgia Tech)
o Introduction to Tensor Calculus and Continuum Mechanics by John H. Heinbockel
o Complex Analysis by George Cain
o An Introduction to Fourier Theory by Forrest Hoffman
o An Introduction to C*-Algebras by Pierre de la Harpe, Vaughan Jones. (The page is in French but the book is in English; advanced)


o Abstract Algebra: The Basic Graduate Year by Robert B. Ash
o Elements of Abstract and Linear Algebra by Edwin H. Connell (used at U of Miami, Coral Gables)
o Elementary Linear Algebra by Keith Matthews
o Linear Algebra by Jim Hefferon
o Séminaire de Géometrie Algébrique Entire collection (vols. 1-7) scanned into jpeg files.


o An Introduction to Riemannian Geometry (postscript file)
o Euclid's Elements
o Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor (Springer Verlag) (this is from the EMIS collection (see below); advanced)


o Basic Concepts of Mathematics An online book that helps the student make the transition from purely manipulative to rigorous mathematics.
o Hilbert Space Methods for Partial Differential Equations by R. E. Showalter
o Introduction to Probability by Dimitri P. Bertsekas and John N. Tsitsiklis
o Introduction to Probability by Grinstead, Snell (AMS)
o Linear Methods of Applied Mathematics by Evans M. Harrell II and James V. Herod
o Numerical Recipes (Cambridge Univ. Press)
o A Problem Course in Mathematical Logic by Stefan Bilaniuk
o Templates for the solution of linear systems: building blocks for iterative methods (SIAM)
o Chaitin: The Limits of Mathematics

Book Collections by an author

o Allen Hatcher (Cornell)
o Herb Wilf (U Penn)
o George Cain (Georgia Tech)
o Igor Dolgachev (U Mich)
o Algebra: Abstract and Concrete Introduction to abstract algebra at the beginning graduate or upper level undergraduate level.
o An Introduction to the Theory of Numbers This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate student on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers.
o Introduction to Probability
o Mathematical Analysis I This text covers the basic topics of undergraduate real analysis including metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability.
o Open Problems in Topology A collection of 1100 open problems in topology edited by Jan van Mill and George M. Reed. Cumulative status reports on these problems appear periodically under the same title in Topology and its Applications.