Means in mathematical analysis by Gheorghe Toader, Iulia Costin 9780128110812 0128110813

Means in mathematical analysis by Gheorghe Toader, Iulia Costin – Ebook Instant Download/Delivery ISBN(s): 9780128110805,9780128110812,0128110805,0128110813

Product details:

• ISBN 10: 0128110813
• ISBN 13: 9780128110812 
• Author: Gheorghe Toader; Iulia Costin
  

Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.Reviews double sequences defined with two arbitrary means, aiding digestion, analysis and prospective researchProvides exact solutions on bounds, inequalities and approximations for researchers interrogating means across physical and statistical problemsPlaces the current state of means in mathematical analysis alongside its storied and impressive history

Table contents:

Chapter 1: Classical theory of the AGM
1.1. Measurement of the circle
1.2. Heron’s method of extracting square roots
1.3. Lagrange and the definition of the AGM
1.4. Lemniscatic integrals
1.5. Elliptic integrals
1.6. Hypergeometric series
1.7. Landen’s transformation
1.8. The perimeter of an ellipse
Chapter 2: Means
2.1. Means and properties of means
2.2. Complementariness
Chapter 3: Double sequences
3.1. Archimedean double sequences
3.2. Determination of A-compound means
3.3. Rate of convergence of an Archimedean double sequence
3.4. Acceleration of the convergence
3.5. Gaussian double sequences
3.6. Determination of G-compound means
3.7. Rate of convergence of a Gaussian double sequence
3.8. Comparison of compound means
3.9. The Schwab–Borchardt mean
3.10. Seiffert-like means
3.11. Double sequences with pre-means
3.12. Other generalizations of double sequences
Chapter 4: Integral means
4.1. The definition of the integral mean
4.2. A recurrence formula
4.3. Gauss’ functional equation
4.4. Special integral means
4.5. Comparison of integral means
4.6. Integral pre-means
4.7. Special pre-means
4.8. Estimations of some integral means

People also search:

means in math definition

means in math

means meaning in math

analysis meaning math

analyze meaning in math

an meaning math