math olympiad book

Pristine Landscapes in Elementary Mathematics

$ 49.95

Add dimensions to your mathematical vista that will take you beyond the standard coursework for multiple topics!

It’s time to broaden your horizons and problem solving abilities by taking familiar ideas and extending them to create a fuller picture to succeed in Olympiad level mathematics competitions and beyond!

Ambitious high school or college students alike will enjoy this exploration of specific themes and ideas in geometry, algebra, and number theory that will bring a depth and beauty to their understanding of mathematics along with profound implications along the way.

SKU: XYZ-1040 Category:

This book takes familiar ideas and extends them to a rich variety of problems. The intended audience is the ambitious high school or college student. The topics covered span algebra, geometry, number theory, and even a few elements of mathematical analysis. Each chapter explores specific themes and ideas that underlie the aforementioned subject areas. The “landscapes” presented provide a “view” into areas that are not typically encountered in great depth in standard coursework but nonetheless have profound implications.

Authors

  • Titu Andreescu, Cristinel Mortici and Marian Tetiva

Subjects

  • Algebra
  • Geometry/Trigonometry
  • Number Theory
  • Combinatorics

Book Details

  • Hardcover: 280 pages
  • Publisher: XYZ Press (2016)
  • Language: English
  • ISBN-10: 0996874577
  • ISBN-13: 978-0996874571
alt: pristine-landscapes-in-elementary-mathematics-look-inside.pdf

Nice book which covers many different areas of elementary mathematics, yet has a decidedly algebraic flavor! Even the chapters in number theory verge towards algebraic methods (mostly inequalities and approximations). The book would thus be very suitable for students who want to get better at solving problems that involve more than a 'trick' and in which a bit of technique and maturity are essential.

Most chapters are fairly self-contained, with the first half of the book (ch. 1-7) accessible to all students (there are some problems involving groups, but a student not familiar with groups can easily skip them). The latter half (ch. 8-14) is to some extent also self-contained, but it might be hard to approach for a student who has no knowledge whatsoever of vectors, complex numbers, linear algebra and analysis. Not much is needed, but it shouldn't all look new.

For teachers, the book can provide problems of all levels (save, perhaps, very difficult problems) and so can be very useful for familiarizing students with a given subject.

Radu B. (Romania)
  • Readers should not be misled by the word "elementary" in the title. The book contains advanced mathematical topics and challenging problems at the Olympiad level
  • It consists of 11 chapters independent from each other and can be used for enrichment at the high school and college levels
  • Students are exposed to a wide variety of topics including a large number of ramifications
  • The mixture of easy, moderate, and difficult problems come from many sources, including local and global Olympiads, journal problem columns, and the Putnam exam

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