Mathematical inequalities are essential tools in mathematics, natural science and engineering. This book gives an overview on recent advances. Some generalizations and improvements for the classical and well-known inequalities are described. They will be applied and further developed in many fields.
Diamonds in mathematical inequalities
โ Scribed by Tran Phuong
- Year
- 2009
- Tongue
- English
- Leaves
- 207
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The book aims, first, to provide students with a comprehensive and minute system of
typical inequality demonstration methods and techniques, ranging from classical to modern
ones, which, due to the fact that their importance remains unchanged throughout the flow of
time, can be considered as โdiamonds in mathematical inequalitiesโ. This main purpose is
accomplished by a number of valuable mathematic samples with interesting โlead-insโ and,
most importantly, a dialectic viewpoint on each solving method.
The major goal of the authors is, therefore, to helping students to acquire multitude of
mathematical tools and methods in solving inequalities, then, be able to achieve excellence in
this field. Besides, on utilizing a new approach in presenting familiar mathematical facts, the
authors also hope to highlight in readersโ mind the importance of a good mathematical
inequality-based thinking in developing their creativeness as well as their ability to critically
evaluate changes in life.
The success of this book will also mean the publication of the authorsโ other books on
other fields of secondary mathematics.
โฆ Table of Contents
1.Proposal for a book.PDF
2 Classical Inequalities.pdf
3. SOS Method.PDF
4. ABC Method - Part 1.PDF
5. ABC Method - Part 2.PDF
6. Mixing Variables Method - Part 1.PDF
7. Mixing Variables Method - Part 2.PDF
8. Mixing Variables Method - Part 3.PDF
9. Nesbit - Shapiro Inequality.PDF
๐ SIMILAR VOLUMES
<p>Mathematical inequalities are essential tools in mathematics, natural science and engineering. This book gives an overview on recent advances. Some generalizations and improvements for the classical and well-known inequalities are described. They will be applied and further developed in many fiel
<p></p><p>This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators,