Ebooks and magazines

101 PROBLEMS IN ALGEBRA

FROM THE TRAINING OF THE USA IM0 TEAM

Chairman: GRAHAM H POLLARD, Canberra AUSTRALIA
Editor: PETER J TAYLOR, Canberra AUSTRALIA

WARREN J ATKINS, Canberra AUSTRALIA
ED J BARBEAU, Toronto CANADA
GEORGE BERZSENYI, Terra Haute USA
RON DUNKLEY, Waterloo CANADA
WALTER E MIENTKA, Lincoln USA
NIKOLAY KONSTANT1NOV, Moscow RUSSIA
ANDY Liu, Edmonton CANADA
JORDAN B TABOV, Sofia BULGARIA
JOHN WEBB, Cape
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The secrets of TRIANGLES

ALFRED S. PDSAMENTIER and INBMAR LEHMANN

CONTENTS

Acknowledgments
Preface
1. Introduction to the Triangle
2. Concurrencies of a Triangle
3. Noteworthy Points in a Triangle
4. Concurrent Circles of a Triangle
5. Special Lines of a Triangle
6. Useful Triangle Theorems
7. Areas of and within Triangles
8. Triangle Constructions
9. Inequalities in a Triangle
10. Triangles and Fractals
Appendix ... Voir plus

SSC Mathematics Guide

Illustrations & examples
25 Chapters with explanations
2 levels of Exercise
5 Practices Sets

CONTENTS

1. Fundamentals 1-34
2. Number System 35-56
3. Averages 57-68
4. Alligations 69-78
5. Percentages 79-96
6. Profit, Loss and Discount 97-118
7. Interest 119-134
8. Ratio, Proportion and Variation 135-156
9. Time and Work 157-176
10. Time, Speed and Distance 177-202 ... Voir plus

Equations and Inequalities

Elementary Problems and Theorems in Algebra and Number Theory
Translated by Karl Dilcher

CONTENTS

I. Algebraic Identities and Equations
1- Formulas for Powers
2- Finite Sums
3- Polynomials
4- Symmetric Polynomials
5- Systems of Equations
6- Irrational Equations
7- Some Applications of Complex Numbers

II. Algebraic Inequalities
1- Definitions and
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Euclidean Geometry in Mathematical Olympiads

With 248 Illustrations

Contents

Preface xi
Preliminaries xiii
0.1 The Structure of This Book. .xiii
0.2 Centers of a Triangle . .xiv
0.3 Other Notations and Conventions . .xv

I Fundamentals . .1

1 Angle Chasing 3
1.1 Triangles and Circles . .3
1.2 Cyclic Quadrilaterals . .6
1.3 The Orthic Triangle. .7
1.4 The Incenter/Excenter Lemma . .9
1.5
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