- G.B. Thomas and R.L. Finney
*Calculus and Analytc Geometry*, Addison-Wesley 1998.*Basic calculus book. All of the material in this book will be used in this course and little will be repeated*. - B. Kolman and D.R. Hill
*Elementary Linear Algebra*, Prentice Hall 2000.*Rudimentary knowledge of chapters 1-6 is required. Almost everything in these chapters will be covered in PHYS607, however, it will be hard to follow without previous background*. - W.E. Boyce and R.C. DiPrima
*Elementary Differential Equations and Boundary Value Problems*, Wiley 1997.*Rudimentary knowledge of chapters 1-4 and 7 is required. We will go again only over some elements of chapter 3. We will cover chapters 5, 6, 10, and 11 in PHYS608*.

- M.L. Boas
*Mathematical Methods in the Physical Sciences*, Wiley 1983.*This is the best book filling the gap between basic calculus and our course. It is an undergraduate level text but it does cover many subjects which we will discuss (but some are just not there).* - P. Dennery and A. Krzywicki
*Mathematics for Physicists*, Harper 1967 (available from Dover).*One of the best books on mathematical analysis parts. Written from mathematicians viewpoint but physicist emphasis on selection of material. Although it does not relate to physics by any examples, it uses intuitive ``physical" reasoning*. - J. Mathews and R.L. Walker
*Mathematical Methods of Physics*, Benjamin, 1973.*Very understandable text based on Richard Feynman lectures. Has little coverage of Arfken-Weber chapters 1-3, but for later chapters the overlap becomes better.***Good concise chapter on group theory**. - H. Cohen
*Mathematics for Scientists and Engineers*, Prentice-Hall 1992.*Includes a lot of examples from simple to quite difficult that will certainly be helpful to you. Goes far enough in some subjects but not in other. Contains serious errors.* - M.D. Greenberg (UD Professor)
*Advanced Engineering Mathematics*, 2nd edition, Prentice-Hall 1998.*Another very good book with range of subjects similar to Boas' text.* - E.B. Saff and A.D. Snider
*Fundamentals of Complex Analysis for Mathematics, Science, and Engineering*, Prentice Hall 1993.*This book does not have more material than Chapters 6 and 7 in Arfken-Weber, but it explains it all in every detail on 450 pages. A huge number of examples.* - S. Hassani
*Foundations of Mathematical Physics*, Allyn and Bacon, 1991.*More mathematical point of view and more rigour than other texts.* - M. Hamermesh
*Group Theory and its Applications to Physical Problems*, Pergamon 1962.*Probably the most popular of group theory books for physicists which tells it must be good. It is both rigorous and physically oriented. However, it is 600 pages long.* - J.F. Cornwell
*Group Theory in Physics*, Academic 1984.*I looked at it briefly only but it seems like an excellent book. Gives proofs (harder in appendices which makes reading of the main text easier)*. - I.G. Kaplan
*Symmetry of Many-Electron Systems*, Academic 1975.*One of the best sources. Gives minimum of general group theory (omits harder proofs) needed to get to physical applications. Unfortunately, it is out of print*. - C.M. Bender and S. Orszag
*Advanced Mathematical Methods for Scientists and Engineers*, McGraw-Hill, 1978. - P.M. Morse and H. Feschbach
*Methods of Theoretical Physics*, McGraw-Hill, 1953.*Classic text which has all of it but is rather hard to read.* - F.W. Byron and R.F. Fuller
*Mathematics of Classical and Quantum Physics*, Addison-Wesley, 1972 (available from Dover).*Classic text lightly written. Some subjects at a quite advanced level while other are rather elementary and not very rigorous*. - M. Reed and B. Simon
*Methods of Modern Mathematical Physics*, Academic, 1972-1980.*Rigorous text written by top notch mathematical physicists. Covers subjects relevent for quantum mechanics and field theory.* - J.P. Serre
*Linear Representations of Finite Groups*, Springer Verlag 1997.*Very compact and somewhat formal mathematical approach*. - M.I. Petrashen and E.D. Trifonov
*Applications of Group Theory in Quantum Theory*, MIT Press, Cambridge, 1969. - A. Messiah
*Quantum Mechanics*, North-Holland 1961.*This classic quantum mechanics book contains a very good appendix on group theory*. - J. A. Gallian
*Contemporary Abstract Algebra*, Heath 1990.*This text doesn't care about physics, however, it is an admirable book. Very lightly written and simultanously rigorous. Interesting historical interludes*. - E. A. Coddington
*An Introduction to Ordinary Differential Equations*, Dover 1989.*This is an undergraduate text on the subject but in contrast to many other texts it does contain proofs of more advanced theorems such as Fuchs' theorem (including convergence)*.