Bibliography
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Mathematical Methods for Physics and Engineeringby Riley, Hobson, and Bence. Cambridge Uni-
versity Press For the quantity of well-written material here, it is surprisingly inexpensive in paperback.
Mathematical Methods in the Physical Sciencesby Boas. John Wiley Publ About the right level
and with a very useful selection of topics. If you know everything in here, you’ll find all your upper level
courses much easier.
Mathematical Methods for Physicistsby Arfken and Weber. Academic Press At a more advanced
level, but it is sufficiently thorough that will be a valuable reference work later.
Mathematical Methods in Physicsby Mathews and Walker. More sophisticated in its approach to
the subject, but it has some beautiful insights. It’s considered a standard, though now hard to obtain.
Mathematical Methodsby Hassani. Springer At the same level as this text with many of the same
topics, but said differently. It is always useful to get a second viewpoint because it’s commonly the
second one that makes sense — in whichever order you read them.
Schaum’s Outlinesby various. There are many good and inexpensive books in this series: for
example, “Complex Variables,” “Advanced Calculus,” “German Grammar.” Amazon lists hundreds.
Visual Complex Analysisby Needham, Oxford University Press The title tells you the emphasis.
Here the geometry is paramount, but the traditional material is present too. It’s actually fun to read.
(Well, I think so anyway.) The Schaum text provides a complementary image of the subject.
Complex Analysis for Mathematics and Engineeringby Mathews and Howell. Jones and Bartlett
Press Another very good choice for a text on complex variables. Despite the title, mathematicians
should find nothing wanting here.
Applied Analysisby Lanczos. Dover PublicationsThis publisher has a large selection of moderately
priced, high quality books. More discursive than most books on numerical analysis, and shows great
insight into the subject.
Linear Differential Operatorsby Lanczos. Dover publications As always with this author, useful
insights and unusual ways to look at the subject.
Numerical Methods that(usually)Workby Acton. Mathematical Association of America Practical
tools with more than the usual discussion of what can (and will) go wrong.
Numerical Recipesby Press et al. Cambridge Press The standard current compendium surveying
techniques and theory, with programs in one or another language.
A Brief on Tensor Analysisby James Simmonds. Springer This is the only text on tensors that I
will recommend. To anyone. Under any circumstances.
Linear Algebra Done Rightby Axler. Springer Don’t let the title turn you away. It’s pretty good.
Linear Algebra Done Wrongby Treil. (online at Brown University)Linear Algebra notjustfor
its own sake.
Advanced mathematical methods for scientists and engineersby Bender and Orszag. Springer
Material you won’t find anywhere else, with clear examples. “...a sleazy approximation that provides
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