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Complexity and Real Computation

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Cover of 'Complexity and Real Computation'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Definitions and First Properties of Computation
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    Chapter 3 Computation over a Ring
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    Chapter 4 Decision Problems and Complexity over a Ring
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    Chapter 5 The Class NP and NP-Complete Problems
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    Chapter 6 Integer Machines
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    Chapter 7 Algebraic Settings for the Problem “P ≠ NP?”
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    Chapter 8 Newton’s Method
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    Chapter 9 Fundamental Theorem of Algebra: Complexity Aspects
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    Chapter 10 Bézout’s Theorem
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    Chapter 11 Condition Numbers and the Loss of Precision of Linear Equations
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    Chapter 12 The Condition Number for Nonlinear Problems
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    Chapter 13 The Condition Number in ℙ( H ( d ) )
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    Chapter 14 Complexity and the Condition Number
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    Chapter 15 Linear Programming
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    Chapter 16 Deterministic Lower Bounds
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    Chapter 17 Probabilistic Machines
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    Chapter 18 Parallel Computations
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    Chapter 19 Some Separations of Complexity Classes
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    Chapter 20 Weak Machines
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    Chapter 21 Additive Machines
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    Chapter 22 Nonuniform Complexity Classes
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    Chapter 23 Descriptive Complexity
Attention for Chapter 8: Newton’s Method
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