jump to search box

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

Availability

At the Library

Other libraries

Uniform Title:
Metody řešení matematických úloh I. English
Author/Creator:
Herman, Jiří.
Language:
English.
Publication date:
2000
Imprint:
New York : Springer, c2000.
Format:
  • Book
  • x, 344 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references and index.
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.
Contributor:
Kučera, Radan.
Šimša, Jaromír.
Series:
CMS books in mathematics ; [1].
Subjects:
ISBN:
0387989420
9780387989426

powered by Blacklight
© Stanford University. Stanford, California 94305. (650) 725-1064. Terms of Use | Copyright Complaints | Opt Out of Analytics
jump to top