During my high school (mid of 90's), a professor in physicist and another professor in mathematics recommended to read and study some little books, this to be prepared for the final exams and for my first year at the University. What they recommended were books referred as "Popular lessons in maths" , from the MIR Editorial (see house and logo below), located in Moscow.
Those books started to be published from late 1960′s to early 1990′s, and they look like:
For me, the book's series "Popular lessons in maths" sounded friendly but any friendly idea just disappeared when you started to read the first pages. So, any demonstration step in the those little books was equivalent to half or one page for me. Apart from the certain level of difficulty, those books were translated (at least the translation into Spanish language) and designed in a fantastic way (equations, terms, plots, tables, resolutions, rigorousness). I remember somebody told me that what Russian students use in college for math books is the rest of people use in high school, true?
Three important advantages from these books: quality, variety and low price. You can find for a very good price, a wide range of topics in mathematics, physics and chemistry. For example, about topics in mathematics you may find:
- About the Demonstration in Geometry by A.I. Fetisov
- Special Algebra by I.M. Yaglom
- Mathematical Analysis in the Field of Rational Functions by G.E. Shilov
- Areas and Logarithms by A.I. Markushevich
- Eulerian property by Yu. Shashkin
- Geometric Constructions Using a Compass by A.N. Kostovski
- Divisibility Criteria by N.N. Vorobyov
- Inequalities by P.P. Korovkin
- Division figures in minor parts by V. Boltianski and I.Gojberg
- Dividing a Segment in Reason Given by N.M. Beskin
- Inaccurate Division by A.A. Belski – T.H.E. Kaluzhnin
- Algebraic Equations of Arbitrary Degrees by A.G. Kurosch
- Elements of the Theory of Games by E.S. Ventsel
- Equivalent figures and equi composite by V.G. Boltianski
- Wonderful Fractions by N. Beskin
- Hyperbolic Functions by VG Shervatov
- Simple Range / How to Build Graphs by G.E. Shilov
- The Rule of Geometric Constructions by A.S. Smogorzhevski
- Problems about Variations of Shorter lines by T.H.E. Liusternik
- Algorithms and Automatic Problem Resolution by B.A. Trajtenbrot
- Kinematic Method in Geometrical Problems by Yu. I. Lyubich and L.A. Shor
- Fibonacci Numbers by N.N. Vorobyov
- ...
The list if really long, so the diversity is huge and fascinating. From my opinion, every new book published from the MIR Editorial was carefully prepared, in order to bring in a didactic way all the necessary tools to solve and learn new topics.
Several webpages are dedicated to compile information about these books, for example:
http://mirtitles.org/
http://listado.mercadolibre.com.ar/libros-revistas-comics/e%C3%98books-editorial-mir-mosc%C3%BA-f%C3%ADsica
http://mirmoscoulivrosdeexatas.blogspot.se/2009/06/livros-de-fisica-mir-moscou-physics.html
Sadly, it seems like right now the MIR Editorial is in bankrupt. If so, it is a big pity to lose what it was known as an excellent Editorial of science books.
See you around.
Jesus
Three important advantages from these books: quality, variety and low price. You can find for a very good price, a wide range of topics in mathematics, physics and chemistry. For example, about topics in mathematics you may find:
- About the Demonstration in Geometry by A.I. Fetisov
- Special Algebra by I.M. Yaglom
- Mathematical Analysis in the Field of Rational Functions by G.E. Shilov
- Areas and Logarithms by A.I. Markushevich
- Eulerian property by Yu. Shashkin
- Geometric Constructions Using a Compass by A.N. Kostovski
- Divisibility Criteria by N.N. Vorobyov
- Inequalities by P.P. Korovkin
- Division figures in minor parts by V. Boltianski and I.Gojberg
- Dividing a Segment in Reason Given by N.M. Beskin
- Inaccurate Division by A.A. Belski – T.H.E. Kaluzhnin
- Algebraic Equations of Arbitrary Degrees by A.G. Kurosch
- Elements of the Theory of Games by E.S. Ventsel
- Equivalent figures and equi composite by V.G. Boltianski
- Wonderful Fractions by N. Beskin
- Hyperbolic Functions by VG Shervatov
- Simple Range / How to Build Graphs by G.E. Shilov
- The Rule of Geometric Constructions by A.S. Smogorzhevski
- Problems about Variations of Shorter lines by T.H.E. Liusternik
- Algorithms and Automatic Problem Resolution by B.A. Trajtenbrot
- Kinematic Method in Geometrical Problems by Yu. I. Lyubich and L.A. Shor
- Fibonacci Numbers by N.N. Vorobyov
- ...
The list if really long, so the diversity is huge and fascinating. From my opinion, every new book published from the MIR Editorial was carefully prepared, in order to bring in a didactic way all the necessary tools to solve and learn new topics.
Several webpages are dedicated to compile information about these books, for example:
http://mirtitles.org/
http://listado.mercadolibre.com.ar/libros-revistas-comics/e%C3%98books-editorial-mir-mosc%C3%BA-f%C3%ADsica
http://mirmoscoulivrosdeexatas.blogspot.se/2009/06/livros-de-fisica-mir-moscou-physics.html
Sadly, it seems like right now the MIR Editorial is in bankrupt. If so, it is a big pity to lose what it was known as an excellent Editorial of science books.
See you around.
Jesus