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108 algebra problems : from the AwesomeMath year-round program / Titu Andreescu and Adithya Ganesh.

By: Contributor(s): Material type: TextTextPublication details: Plano, USA : XYZ press, ©2014.Description: viii, 225 pages ; 26 cmISBN:
  • 9780988562271
Other title:
  • One hundred eight algebra problems : from the AwesomeMath year-round program
Subject(s): DDC classification:
  • 512.0076 23 An558
Contents:
1. Preface -- 2. Let's factor -- 3. Quadratic functions -- 4. Systems of equations -- 5. Vieta's relations and symmetry -- 6. Exponents and logarithms -- 7. Irrational expressions -- 8. Complex numbers -- 9. More inequalities -- 10. Sums and products -- 11. Polynomials -- 12. Trigonometric substitutions and more -- 13. Introductory problems -- 14. Advanced problems -- 15. Solutions to introductory problems -- 16. Solutions to advanced problems -- 17. Other books from XYZ press.
Summary: The book covers many classical topics in elementary algebra, including factoring, quadratic functions, irrational expressions, Vieta's relations, equations and systems of equations, inequalities, sums and products, and polynomials. Expanding upon the previous work in the series, 105 Problems in Algebra from the AwesomeMath Summer Program, this book features additional more advanced topics, including exponents and logarithms, complex numbers, and trigonometry. The special section on trigonometric substitutions and more explores seemingly algebraic problems with natural geometric and trigonometric interpretations. To give the reader practice with the strategies and techniques discussed in each of the chapters, the authors have included 108 diverse problems, of which 54 are introductory and 54 are advanced. Solutions to all of these problems are provided, in which different approaches are compared.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.0076 An558 (Browse shelf(Opens below)) Available 137939
Total holds: 0

1. Preface --
2. Let's factor --
3. Quadratic functions --
4. Systems of equations --
5. Vieta's relations and symmetry --
6. Exponents and logarithms --
7. Irrational expressions --
8. Complex numbers --
9. More inequalities --
10. Sums and products --
11. Polynomials --
12. Trigonometric substitutions and more --
13. Introductory problems --
14. Advanced problems --
15. Solutions to introductory problems --
16. Solutions to advanced problems --
17. Other books from XYZ press.

The book covers many classical topics in elementary algebra, including factoring, quadratic functions, irrational expressions, Vieta's relations, equations and systems of equations, inequalities, sums and products, and polynomials. Expanding upon the previous work in the series, 105 Problems in Algebra from the AwesomeMath Summer Program, this book features additional more advanced topics, including exponents and logarithms, complex numbers, and trigonometry. The special section on trigonometric substitutions and more explores seemingly algebraic problems with natural geometric and trigonometric interpretations. To give the reader practice with the strategies and techniques discussed in each of the chapters, the authors have included 108 diverse problems, of which 54 are introductory and 54 are advanced. Solutions to all of these problems are provided, in which different approaches are compared.

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