Bibliograph

Equations and inequalities, elementary problems and theorems in algebra and number theory, Jiří Herman, Radan Kučera, Jaromír Šimša ; translated by Karl Dilcher

Type

Label

Equations and inequalities, elementary problems and theorems in algebra and number theory, Jiří Herman, Radan Kučera, Jaromír Šimša ; translated by Karl Dilcher

Language

eng

Bibliography note

Includes bibliographical references and index

Illustrations

illustrations

Index

index present

Literary Form

non fiction

Main title

Equations and inequalities

Nature of contents

bibliography

Oclc number

43616063

Responsibility statement

Jiří Herman, Radan Kučera, Jaromír Šimša ; translated by Karl Dilcher

Series statement

CMS books in mathematics, [1]

Sub title

elementary problems and theorems in algebra and number theory

Table Of Contents

1. 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 -- 2. Algebraic Inequalities. 1. Definitions and Properties. 2. Basic Methods. 3. The Use of Algebraic Formulas. 4. The Method of Squares. 5. The Discriminant and Cauchy's Inequality. 6. The Induction Principle. 7. Chebyshey's Inequality. 8. Inequalities Between Means. 9. Appendix on Irrational Numbers -- 3. Number Theory. 1. Basic Concepts. 2. Prime Numbers. 3. Congruences. 4. Congruences in One Variable. 5. Diophantine Equations. 6. Solvability of Diophantine Equations. 7. Integer Part and Fractional Part. 8. Base Representations. 9. Dirichlet's Principle. 10. Polynomials -- 4. Hints and Answers. 1. Hints and Answers to Chapter 1. 2. Hints and Answers to Chapter 2. 3. Hints and Answers to Chapter 3

Classification

Contributor

Creator