The Carnegie Maya II The Carnegie Institution of Washington Current Reports 1st Edition by John M Weeks – Ebook PDF Instant Download/Delivery: 0870819585, 9780870819582
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Product details:
ISBN 10: 0870819585
ISBN 13: 9780870819582
Author: John M Weeks
In 2006, the University Press of Colorado published The Carnegie Maya: The Carnegie Institution of Washington Maya Research Program, 1913–1957. This volume made available once again to scholars the extensive data published in the CIW Year Book series. The Carnegie Maya II: Carnegie Institution of Washington Current Reports, 1952–1957 continues this project by republishing the CIW Current Reports series.
The final CIW field project took place in July of 1950, in the Maya region of Mayapán, where extensive and detailed investigations were conducted for five years. To ensure the rapid dissemination of the results of the Mayapán Project, two series of papers described the work being undertaken and reported the preliminary findings. These were volumes 50 through 57 of the Year Books and numbers 1 through 41 of the Current Reports. A total of forty one Current Reports were published by the Carnegie Institution of Washington from 1952 to 1957. All forty one of these are reproduced in The Carnegie Maya II, accompanied by an introduction by John Weeks, a forward by Marilyn Masson, and a summary table of data compiled by Marilyn Masson regarding artifacts unearthed at Mayapán.
Purchase of the print book comes with free individual access to the Adobe Digital Editions Carnegie Maya Series Ebook, which contains the complete set of The Carnegie Maya, The Carnegie Maya II, The Carnegie Maya III and The Carnegie Maya IV, thus making hundreds of documents from the Carnegie Institution’s Maya program available in one source.
The Carnegie Maya II The Carnegie Institution of Washington Current Reports 1st Table of contents:
Chapter 1: The Real and Complex Number Systems
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Introduction
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Ordered Sets
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Fields
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The Real Field
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The Extended Real Number System
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The Complex Field
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Euclidean Spaces
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Appendix: Dedekind Cuts
Chapter 2: Basic Topology
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Finite, Countable, and Uncountable Sets
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Metric Spaces
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Compact Sets
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Perfect Sets
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Connected Sets
Chapter 3: Numerical Sequences and Series
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Convergent Sequences
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Subsequences
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Cauchy Sequences
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Upper and Lower Limits
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Some Special Sequences
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Series
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Series of Nonnegative Terms
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The Number e
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The Root and Ratio Tests
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Power Series
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Summation by Parts
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Absolute Convergence
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Addition and Multiplication of Series
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Rearrangements
Chapter 4: Continuity
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Limits of Functions
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Continuous Functions
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Continuity and Compactness
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Continuity and Connectedness
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Discontinuities
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Monotonic Functions
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Infinite Limits and Limits at Infinity
Chapter 5: Differentiation
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The Derivative of a Real Function
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Mean Value Theorems
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The Continuity of Derivatives
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L’Hospital’s Rule
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Derivatives of Higher Order
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Taylor’s Theorem
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Differentiation of Vector-valued Functions
Chapter 6: The Riemann-Stieltjes Integral
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Definition and Existence of the Integral
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Properties of the Integral
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Integration and Differentiation
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Integration of Vector-valued Functions
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Rectifiable Curves
Chapter 7: Sequences and Series of Functions
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Discussion of Main Problem
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Uniform Convergence
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Uniform Convergence and Continuity
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Uniform Convergence and Integration
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Uniform Convergence and Differentiation
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Equicontinuous Families of Functions
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The Stone-Weierstrass Theorem
Chapter 8: Some Special Functions
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Power Series
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The Exponential and Logarithmic Functions
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The Trigonometric Functions
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The Algebraic Completeness of the Complex Field
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Fourier Series
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The Gamma Function
Chapter 9: Functions of Several Variables
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Linear Transformations
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Differentiation
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The Contraction Principle
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The Inverse Function Theorem
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The Implicit Function Theorem
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The Rank Theorem
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Determinants
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Derivatives of Higher Order
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Differentiation of Integrals
Chapter 10: Integration of Differential Forms
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Integration
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Primitive Mappings
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Partitions of Unity
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Change of Variables
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Differential Forms
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Simplexes and Chains
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Stokes’ Theorem
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Closed Forms and Exact Forms
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Vector Analysis
Chapter 11: The Lebesgue Theory
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Set Functions
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Construction of the Lebesgue Measure
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Measure Spaces
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Measurable Functions
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Simple Functions
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Integration
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Comparison with the Riemann Integral
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Integration of Complex Functions
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Functions of Class L²
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