Dover publication books for upper level math

[junaidrq]

Hi,

I wanted to know if anyone knows which dover publication books are good to learn the contents of courses such as mathematical methods for physicists. Main topics include complex analysis, probability, mathematical statistics, integral transformations,ODE, PDE, linear algebra, calculus of variations, etc.

Also what dover publication books would be good to learn the contents of common undergrad physics courses. Thank you

 

[QuarkCharmer]

This one is pretty great, but I haven't read any others:
https://www.amazon.com/dp/0486637603/?tag=pfamazon01-20

 

[Daverz]

I have to note that Dover is just not as cheap as they used to be. You can often find better deals by surfing Amazon for used hardcover copies of classic texts. And even very old Dover printings compete with the new printings because they had sewn bindings rather than the glued bindings of recent years.

For math methods, Byron and Fuller is excellent:

http://store.doverpublications.com/048667164x.html

However, I'd recommend starting with an old copy of Boas:

https://www.amazon.com/gp/product/0471044091/?tag=pfamazon01-20

They don't seem to have an introductory mechanics text. The books they do have seem to be graduate level or engineering oriented. I like Fowles for intro mechanics. Here's the 3rd ed:

https://www.amazon.com/gp/product/0030897254/?tag=pfamazon01-20

Symon is also an old classic:

https://www.amazon.com/gp/product/B000QA9M6M/?tag=pfamazon01-20

Dover is strong on E&M books, my favorite being Schwartz, but he's somewhat intermediate between undergrad and grad level.

http://store.doverpublications.com/...ics-electromagnetism--electricity--waves.html

Park looks like a pretty good intro QM book and is recommended in the bibliography of Sakurai's QM book, and they now also have the book by Saxon which seems to get good reviews.

For thermo, get Fermi's book.

For stat mech, I have the little book by Atlee Jackson, which looks very good, but I haven't had a chance to get much into it.

A few others:

Complex analysis: the book by Flanigan is neat and an easy read:

http://store.doverpublications.com/0486613887.html

PDEs: Farlow's book is an easy read.

http://store.doverpublications.com/048667620x.html

 

[jasonRF]

I would agree that used copies of old editions of other books are usually a better bet. While some dover books are good, in my experience many fall into the "cheap and not worth it" category. (I forgot where I read that quote - it is not my original).

Anyway, for single-subject books, I recommend (in all cases get used copy of old edition, also, I may have titles slightly off but amazon should find them):

Saff and Snider: complex analysis. used copies of old editions go for a few $ on amazon. includes elementary aspects of integral transforms (and Z transforms!)

Ablowitz and Fokas: applied complex variables; great for complex variables and integral transforms, including basic asymptotic expansions of integrals. 1st edition is $20+, but is very good, imho.

Ross: a first course in probability: something like 3rd or 4th edition is cheap. very good for basic probability

Hogg and Craig: introduction to mathematical statistics, good for stats. any edition is probably fine.

Boyce and Diprima, elementary differential equations with boundary value problems, good and cheap!

Haberman: elementary applied partial differential equations. good pde book for physics. I covet a copy but already have too many books on the shelf.

Farlow: partial differential equations. One of the dover books that is really good. This is the clearest pde book you will find - the cost is that it also skips a lot of details and theory.

There are many threads on linear algebra books. Two free ones I like are

http://www.math.brown.edu/~treil/papers/LADW/LADW.html

http://joshua.smcvt.edu/linearalgebra/

Also, a general math methods book that is free is:

http://www.physics.miami.edu/~nearing/mathmethods/

For special functions, you can get free copies of Abramowitz and Stegun online, and Whitaker and Watson. Both of these books are legal and free:
http://www.convertit.com/go/convertit/reference/ams55.asp

http://www.e-booksdirectory.com/details.php?ebook=183

many other free math ebooks worth a look:
http://www.e-booksdirectory.com/listing.php?category=3


good luck!

jason

 

[rezeew]

for your question. I would highly recommend the Dover publication books for upper level math. Their books are known for their high-quality content and affordable prices, making them a great resource for students and professionals alike.

For the specific courses you mentioned, I would recommend the following books from Dover:

1. "A Course in Complex Analysis" by Peter Henrici - This book covers the main topics of complex analysis, including analytic functions, Cauchy's theorem, and conformal mapping.

2. "Probability and Statistics" by Morris H. DeGroot and Mark J. Schervish - This book covers the basics of probability and statistics, including random variables, sampling distributions, and hypothesis testing.

3. "Integral Transforms and Their Applications" by Lokenath Debnath - This book covers integral transforms such as Fourier, Laplace, and Hankel transforms, and their applications in physics and engineering.

4. "Differential Equations and Their Applications" by Martin Braun - This book covers ordinary and partial differential equations, with applications to physics, engineering, and other fields.

5. "Linear Algebra" by Georgi E. Shilov - This book covers the fundamentals of linear algebra, including vector spaces, matrices, and eigenvalues, and their applications in physics and other sciences.

6. "Calculus of Variations" by Robert Weinstock - This book covers the calculus of variations, a branch of mathematics that is essential for understanding physical systems and their behavior.

For common undergraduate physics courses, I would recommend the following Dover books:

1. "Classical Mechanics" by Herbert Goldstein - This book covers classical mechanics, including Newton's laws, Lagrangian and Hamiltonian mechanics, and rigid body motion.

2. "Electricity and Magnetism" by Edward M. Purcell - This book covers the fundamentals of electricity and magnetism, including electrostatics, electromagnetism, and Maxwell's equations.

3. "Thermodynamics" by Enrico Fermi - This book covers the laws of thermodynamics, heat transfer, and statistical mechanics, and their applications in physics.

Overall, Dover publications offer a wide range of high-quality books that can serve as valuable resources for learning upper level math and physics. I hope this helps in your search for the right books to aid in your studies. Best of luck!