A Second Step to Mathematical Olympiad Problems

S$29.95

The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. 

The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions.

Key Features:

  • An introduction to the main mathematical topics covered in the IMO
  • Easily comprehensible to students
  • Full solutions provided to all mathematical problems

Contents: Combinatorics: A Quick Reminder; Partial Fraction; Geometric Progressions; Extending the Binomial Theorem; Recurrence Relations; Generating Functions; Of Rabbits and Postmen; Solutions; Geometry 3: The Circumcircle; Incircles; Exercises; The 6-Point Circle?; The Euler Line and the Nine Point Circle; Some More Examples; Hints; Solutions; Glossary; Solving Problems: Introduction; A Problem to Solve; Mathematics: What is it?; Back to Six Circles; More on Research Methods; Georg Pólya; Asking Questions; Solutions; Number Theory 2: A Problem; Euler's ϕ-function; Back to Section 4.2; Wilson; Some More Problems; Solutions; Means and Inequalities: Introduction; Rules to Order the Reals By; Means Arithmetic and Geometric; More Means; More Inequalities; A Collection of Problems; Solutions; Combinatorics 3: Introduction; Inclusion–Exclusion; Derangements (Revisited); Linear Diophantine Equations Again; Non-taking Rooks; The Board of Forbidden Positions; Stirling Numbers; Some Other Numbers; Solutions; Creating 

 

Cover: Soft
Number of Pages: 312
Author(s): Jiagu Xu (Former Professor of Mathematics, Fudan University, China) 
ISBN: 978-981-4327-87-9 

ISBN
9789814327879
Year of Pub
No. of Pages
312
Author
Jiagu Xu (Former Professor of Mathematics, Fudan University, China) 
No. of Issues
Dimensions
Weight
Brand
  1. We will not be responsible for lost mails or damages for orders by normal mail option.
  2. No refunds or returns after purchase.
  3. Exchanges subject to the following:
    • stock availability.
    • You must contact us to raise your  request within 5 working days from receipt of your order. 
    • Before returning or making an exchange, you are required to send us photos of the exchange products before sending out to us.
    • Item to be returned must reach us within 5 working days from our email confirmation to you on the exchange arrangement.
    • Item to be returned has to be in original new condition. We encourage courier or office drop-off.
    • All returns are to be arranged at your own cost. We will not be responsible for damage in transit.
  4. Please see full terms & conditions

The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. 

The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions.

Key Features:

  • An introduction to the main mathematical topics covered in the IMO
  • Easily comprehensible to students
  • Full solutions provided to all mathematical problems

Contents: Combinatorics: A Quick Reminder; Partial Fraction; Geometric Progressions; Extending the Binomial Theorem; Recurrence Relations; Generating Functions; Of Rabbits and Postmen; Solutions; Geometry 3: The Circumcircle; Incircles; Exercises; The 6-Point Circle?; The Euler Line and the Nine Point Circle; Some More Examples; Hints; Solutions; Glossary; Solving Problems: Introduction; A Problem to Solve; Mathematics: What is it?; Back to Six Circles; More on Research Methods; Georg Pólya; Asking Questions; Solutions; Number Theory 2: A Problem; Euler's ϕ-function; Back to Section 4.2; Wilson; Some More Problems; Solutions; Means and Inequalities: Introduction; Rules to Order the Reals By; Means Arithmetic and Geometric; More Means; More Inequalities; A Collection of Problems; Solutions; Combinatorics 3: Introduction; Inclusion–Exclusion; Derangements (Revisited); Linear Diophantine Equations Again; Non-taking Rooks; The Board of Forbidden Positions; Stirling Numbers; Some Other Numbers; Solutions; Creating 

 

Cover: Soft
Number of Pages: 312
Author(s): Jiagu Xu (Former Professor of Mathematics, Fudan University, China) 
ISBN: 978-981-4327-87-9 

ISBN
9789814327879
Year of Pub
No. of Pages
312
Author
Jiagu Xu (Former Professor of Mathematics, Fudan University, China) 
No. of Issues
Dimensions
Weight
Brand
  1. We will not be responsible for lost mails or damages for orders by normal mail option.
  2. No refunds or returns after purchase.
  3. Exchanges subject to the following:
    • stock availability.
    • You must contact us to raise your  request within 5 working days from receipt of your order. 
    • Before returning or making an exchange, you are required to send us photos of the exchange products before sending out to us.
    • Item to be returned must reach us within 5 working days from our email confirmation to you on the exchange arrangement.
    • Item to be returned has to be in original new condition. We encourage courier or office drop-off.
    • All returns are to be arranged at your own cost. We will not be responsible for damage in transit.
  4. Please see full terms & conditions