Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Best Basic Mathematics Books **. We hope students and teachers like these **textbooks**, notes and solution manuals.

**Share this page:- **

**About this book :- **
**Combinatorial Problems in Mathematical Competitions ** written by
** Yao Zhang **.

This book covers six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. It contains a selection of more than 500 problems and solutions based on the Ph.D. qualifying test papers of a decade of influential universities in North America. The mathematical problems under discussion are kept within the scope of the textbooks for graduate students.

Finding solutions to these problems, however, involves a deep understanding of mathematical principles as well as an acquisition of skills in analysis and computation. As a supplement to textbooks, this book may prove to be of some help to the students in taking relevant courses. It may also serve as a reference book for the teachers concerned.

It has to be pointed out that this book should not be regarded as an all purpose trouble shooter. Nor is it advisable to take the book as an exemplary text and commit to memory all the problems and solutions and make an indiscriminate use of them. Instead, the students are expected to make a selective survey of the problems, take a do-it-yourself approach and arrive at their own solutions which they may check against those listed in the book. It would be gratifying to see that the students can work out the problems on their own and come up with better solutions than those provided by the book. If the students fail to do so or their solutions may turn out to be incomplete, it may reveal the inadequacy of their knowledge or approach, thus spurring them to greater efforts to promote their skills. The very purpose of the authors in writing the book is just to help the students to discover the truth by trial and error.

**Book Detail :- **
** Title: ** Combinatorial Problems in Mathematical Competitions
** Edition: **
** Author(s): ** Yao Zhang
** Publisher: **
** Series: **
** Year: **
** Pages: **
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
**Download Similar Books from Amazon **

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**Combinatorial Problems in Mathematical Competitions ** written by
** Yao Zhang **
cover the following topics.
'
**Part-1 Fundamental Knowledge**

1 Principles and Formulas of Counting

2 Pigeonhole Principle and Mean Value Principle

3 The Generating Functions

4 Recurrence Sequence of Numbers
**Part-2 Basic Method**

5 Classification and Method of Fractional Steps

6 Correspondent Method

7 Counting in Two Ways

8 Recurrence Method

9 Coloring Method and Evaluation Method

10 Reduction to Absurdity and the Extreme Principle

11 Local Adjustment Method

12 Construction Method
**Part-3 Typical Problems**

13 Combinatorial Counting Problems

14 Existence Problems and the Proofs of Inequalities in Combinatorial Problems

15 Combinatorial Extremum Problems

Solutions to Exercises

Open for free download

Download Similar Books

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?