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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

17 votes

Math books for advanced high school students

Here are four suggestions: Arnold's problems book for school students, which is freely available via http://imaginary.org/sites/default/files/taskbook_arnold_en_0.pdf . Note that it is also available …
15 votes

Springer GTM Reprints in China?

They are legitimate editions, published by an agreement with China Science Press. They are for sale in China only. These reprints are done not only for GTMs but also many other maths books. See the en …
Martin Peters's user avatar
10 votes

Text for an introductory Real Analysis course.

You might like to try Vladimir Zorich: Mathematical Analysis I. This is an English edition of a Russian textbook, which has been the standard one at Moscow State University. It is comprehensive and ve …
7 votes

Books for (Complex) Algebraic Curves

When I was a student I liked a lot the book by Egbert Brieskorn and Horst Knörrer: Plane Algebraic Curves. I can recommend it.
Martin Peters's user avatar
6 votes

Reference request: Dynamical systems

There is also the classic Palis, de Melo: Geometric Theory of Dynamical Systems.
Martin Peters's user avatar
5 votes

Books on advanced galois theory

For more advanced material, you might like to try Askold Khovanskii: Galois Theory, Coverings, and Riemann Surfaces.
Martin Peters's user avatar
4 votes

Good book on Riemann surfaces and Galois theory?

Try Askold Khovanskii: Galois Theory, Coverings and Riemann Surfaces.
Martin Peters's user avatar
3 votes

Introductory texts to mathematics

I support very much the idea to recommend the Fuks and Tabachnikov book as in the answer above, and in addition to this two book by Vladimir Arnold: Arnold's problems book for school students, which …
2 votes

Textbook for Partial Differential Equations with a viewpoint towards Geometry

Try Jost: Partial Differential Equations.
Martin Peters's user avatar
2 votes

Introductory textbook on geometry of hyperbolic space

You might try the following: Jürgen Richter-Gebert: Perspectives on Projective Geometry, David Mumford, Caroline Series, David Wright: Indra´s Pearls.
2 votes

Differential Algebra Book

Besides the book by van der Put and Singer, which is mentioned above, I recommend that you have a look at Werner Seiler's Involution. This comprehensively covers many topics in the areas you list.
Martin Peters's user avatar
2 votes

Insightful books about elementary mathematics

Two great ones are: Fuchs, Tabachnikov: Mathematical Omnibus and Arnold: Lectures and Problems: A Gift to Young Mathematicians.
2 votes

Russian Equivalent of Big Rudin

A good choice he would be the two-volume textbook of Vladimir Zorich: Mathematical Analysis which is available in English now in its second edition. See http://www.springer.com/gp/book/9783662487907 a …
Martin Peters's user avatar
1 vote

Mathematical Physics Book Recommendation

You can get the overview with Zeidler's multi-volume Quantum-Field Theory I, II, III.
Martin Peters's user avatar
1 vote

Discrete Mathematics textbooks for undergraduates

Try Hochstättler, Schliep: An Interactive Course in Combinatorial Optimization. This book makes use of the Catbox software and the GATO interface, see http://gato.sourceforge.net/, which are great to …

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