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The Euclidean Algorithm in Algebraic Number Fields
Category :Algebraic Number Theory
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5
This article which intends to survey what is known about Euclidean Number Fields; they do this from a number theoretical and number geometrical point of view. They also put some emphasis on the open . . . . . |
Theorie algebrique des nombres
Category :Algebraic Number Theory
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12
Contenù: L’equation de Fermat. 3
2 Les entiers de Gauss et le theoreme des deux carres. 9
3 Le theoreme de Fermat en degre 3. 14
4 Anneaux des entiers dans les corps de nombres. 18
5 Norme, trace . . . . . |
Linear Matrix Inequalities in System and Control Theory
Category :Control Theory
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| In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. Th . . . . . |
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Logic Deductive ans Inductive
Category :Logic
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41
Contents: Introduction; GENERAL ANALYSIS OF PROPOSITIONS; OF TERMS AND THEIR DENOTATION; THE CONNOTATION OF TERMS; CLASSIFICATION OF PROPOSITIONS; CONDITIONS OF IMMEDIATE INFERENCE; IMMEDIATE INFERENC . . . . . |
Probability Theory: The Logic of Science
Category :Probability Theory
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57
Contents: Plausible Reasoning; The Quantitative Rules; Elementary Sampling Theory; Elementary Hypothesis Testing; Continuous Probability Distribution Functions. |
Information, complexity, brains and reality (Kolmogorov Manifesto)
Category :Information Theory
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I discuss several aspects of information theory and its relationship to physics and neuroscience. The unifying thread of this somewhat chaotic essay is the concept of Kolmogorov or algorithmic complex . . . . . |
Special Relativity and Geometry
Category :Thoery of Relativity
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This will be a book on the foundations of Special Relativity from a synthetic viewpoint. This means that we start from a few postulates on how to represent light rays and the principle of inertia and . . . . . |
Mathematics Of The Discrete Fourier Transform (DFT)
Category :Applied Mathematics
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Mathematics Of The Discrete Fourier Transform (DFT) - With Audio Applications.The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier Transform. However, the . . . . . |
Introduction to Topology of Real Algebraic Varieties
Category :Topology
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Contents: Early Study of Real Algebraic Plane Curves; A Real Algebraic Curve from the Complex Point of View; The Topological Point of View on Prohibitions; The Comlexification of a Curve from a Real V . . . . . |
Music: A Mathematical Offering
Category :The Physics Of Music
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87
| Contents: Waves and harmonics; Fourier theory; A mathematician’s guide to the orchestra; Consonance and dissonance; Scales and temperaments: the fivefold way; More scales and temperaments; Digital mus . . . . . |
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18 Lectures on K-Theory
Category :Algebraic Topology
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We present 18 Introductory Lectures on K-Theory covering its basic three branches, namely topological, analytic (K-Homology) and Higher Algebraic K-Theory, 6 lectures on each branch. The skeleton of t . . . . . |
A Course in Vertex Algebra
Category :Quantum Algebra
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This book offers an introduction to vertex algebra based on a new approach. The new approach says that a vertex algebra is an associative algebra such that the underlying Lie algebra is a vertex Lie a . . . . . |
generatingfunctionology
Category :Applied Mathematics
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113
| Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications i . . . . . |
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Partial Differential Equations and the Method of Characteristics
Category :PDE
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117
Contents: 1. Introduction to a Theme
2. PDE's Using ODE's
3. A Changing Population Hetrogeneous in Age
4. Stepping Up The Dimension
5. Complications: Nonlinear Equations
6. Shoc . . . . . |
Higher-Dimensional Categories: an illustrated guide book
Category :Category Theory
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| This informal guide grew out of notes that we made when I was teaching Aaron about n-categories recently, in preparation for the IMA workshop on n-categories in June 2004. We made this available in a . . . . . |
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