Tolstykh V Partial Differential Equations Introduction 2020

Textbook in PDF format

What's in This Book ?
This book contains 300 of the very best mathematical puzzles in the world. Some have appeared in previous books, including my own, or in contests; others are brand new. The book is organized as follows: First, all the puzzles are presented; then, for each puzzle, a hint together with the chapter number in which you can find the solution. (The Hints section lists puzzles in alphabetical order by name, so may be of use in locating a particular puzzle.) The chapters themselves are classified by solution method, rather than by general puzzle topic. Each chapter introduces a technique, uses it to solve puzzles, and ends with an actual theorem of mathematics that uses the technique in its proof. Additional information on every puzzle is found in Notes and Sources at the end of the volume.
Who Is This Book For ?
Puzzle lovers and math lovers. For background you’ll need no more than high-school math. Calculus, abstract algebra, and higher college level material will not be used. Some math that you might not find in every curriculum, like elementary graph theory and probability, will be introduced as needed. This does not mean the puzzles are easy; some are, others will stump professional mathematicians. And, the existence of an easy solution does not mean that a solution is easy to find !
Acknowledgments.
Preface.
The Puzzles.
The Hints.
Notes and Sources.
Bibliography.
Author.
Index