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Dirichlet's principle
Dirichlet's principleDr. A.F. MonnaA mathematical comedy of errors and its influence on the development of analysis
I. The origins of potential theory
II. Variational principles
III. Critisism and the developments in post critical years
IV. Hilbert and the calculus of variations
V. Complex functions and potentials
VI. Functional-analytic approach
VII. Modern developments
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1 bod
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Encounter with Mathematics
Encounter with MathematicsLars Gårding1. Models and Reality
2. Number Theory
3. Algebra
4. Geometry and Linear Algebra
5. Limits, Continuity, and Topology
6. The Heroic Century
7. Differentiation
8. Integration
9. Series
10. Probability
11. Applications
12. The Sociology, Psychology, and Teaching of Mathematics
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Real and Functional Analysis
Real and Functional AnalysisA. Mukherjea, K. Pothoven1. Preliminaries on Set Theory and Topology
2. Measure
3. Integration
4. Differentiation
5. Banach Spaces
6. Hilbert Spaces
7. Measure and Topology
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Lectures on Functional Analysis and Their Applications
Lectures on Functional Analysis and Their ApplicationsJ. AczélPart I: Equations for Functions of a Single Variable
1. Equations Which Can Be Solved by Simple Substitution
2. Solution of Equations by Determining the Values of the Unknown Function on a Dense Set
3. Equations with Several Unknown Functions
4. Reduction to Differential and Integral Equations, General Methods
Part II: Equations for Functions of Several Variables
5. Simple Equations
6. Composite Equations
7. Equations with Several U...
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Linear Operators - Part I: General Theory
Linear Operators - Part I: General TheoryNelson Dunford, Jacob T. SchwartzI. Preliminary Concepts
II. Three Basic Principles of Linear Analysis
III. Integration and Set Functions
IV. Special Spaces
V. Convex Sets and Weak Topology
VI. Operators and Their Adjoints
VII. General Spectral Theory
VIII. Applications
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Basic Complex Analysis
Basic Complex AnalysisJerrold E. Marsden1. Analytic Functions
2. Cauchy's Theorem
3. Series Representation of Analytic Functions
4. Calculus of Residues
5. Conformal Mappings
6. Further Development of the Theory
7. Asymptotic Methods
8. The Laplace Transform and Applications
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Axiomatic Projective Geometry
Axiomatic Projective GeometryA. HeytingI. Introduction
II. Incidence Propositions in the Plane
III. Coordinates in the Plane
IV. Incidence Propositions in Space
V. Coordinates in Space
VI. The Fundamental Proposition of Projective Geometry
VII. Order
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An Introduction to Diffferential Geometry
An Introduction to Diffferential GeometryLuther Pfahler EisenhartI. Curves in Space
II. Tranformation of Coordinates. Tensor Calculus
III. Intrinsic Geometry of a Surface
IV. Surfaces in Space
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Functions of One Complex Variable
Functions of One Complex VariableJohn B. ConwayI. The Complex Number System
II. Metric Spaces and the Topology of C
III. Elementary Properties and Examples of Analytic Functions
IV. Complex Integration
V. Singularities
VI. The Maximum Modulus Theorem
VII. Compactness and Convergence in the Space of Analytic Functions
VIII. Runge's Theorem
IX. Analytic Continuation and Riemann Surfaces
X. Harmonic Functions
XI. Entire Functions
XII. The Range of an Analytic Function
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Differential Equations, Dynamical Systems, and Linear Algebra
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2. Newton's Equation and Kepler's Law
3. Linear Systems with Constant Coefficients and Real Eigenvalues
4. Linear Systems with Constant Coefficients and Comples Eigenvalues
5. Linear Systems and Exponentials of Operators
6. Linear Systems and Canonical Forms of Operators
7. Contractions and Generic Properties of Operators
8. Fundamental Theory
9. Stability of Equilibria
10. Differential ...
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Linear Topological Spaces
Linear Topological SpacesJ.L. Kelley, Isaac Namioka1. Linear Spaces
2. Linear Topological Spaces
3. The Category Theorems
4. Convexity in Linear Topological Spaces
5. Duality
Appendix: Ordered Linear Spaces
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Introduction to Higher Algebra
Introduction to Higher AlgebraA. Mostowski, M. StarkI. Introduction
II. Some Combinatorial Problems
III. Complex Numbers
IV. Determinants
V. Vector Spaces and Linear Equations
VI. Polynomials in One Variable
VII. Rings of Real and Complex Variables
VIII. Ring of Rational Polynomials Algebraic and Transcendental Numbers
IX. Polynomials in Several Variables and Symmetric Functions
X. The Theory of Elimination
XI. Quadratic and Hermitian Forms
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Lehrbuch der Algebra I
Lehrbuch der Algebra IHeinrich Weber1. Die Grundlagen
2. Die Wurzeln
3. Algebraische Grössen
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Lehrbuch der Algebra II
Lehrbuch der Algebra IIHeinrich Weber1. Gruppen
2. Lineare Gruppen
3. Anwendungen der Gruppentheorie
4. Algebraische Zahlen
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Struktur- und Darstellungstheorie der klassischen Gruppen
Struktur- und Darstellungstheorie der klassischen GruppenWolfgang HeinI. Die klassischen Gruppen
II. Abgeschlossene Untergruppen von GL(n, K)
III. Darstellungen der klassischen Gruppen
IV. Halbeinfache komplex Lie-Algebren
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Elemente der Analytischen Geometrie 1. Teil
Elemente der Analytischen Geometrie 1. TeilGerrit BolI. Gerade, Ebenen, lineare Gleichungen
II. Geometrie auf der Geraden
III. Kreise und Kugeln
IV. Oberfläche, Inhalt, Vektorprodukt
V. Kegelschnitte
VI. Algebraische Kurven und Flächen
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Elemente der Analytischen Geometrie 2. Teil
Elemente der Analytischen Geometrie 2. TeilGerrit BolVII. Determinanten und lineare Gleichungen
VIII. Transformationen, Bewegungen, Affinitäten
IX. Abbildungen und Gruppen
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Projektive Differentialgeometrie 1. Teil
Projektive Differentialgeometrie 1. TeilGerrit BolI. Ebene Kurven
II. Einführung in die räumliche Geometrie
III. Raumkurven
IV. Flächenstreifen
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Projektive Differentialgeometrie 2. Teil
Projektive Differentialgeometrie 2. TeilGerrit BolV. Halfinvarianter Aufbau der Flächentheorie
VI. Geometrie im allgemeinen Bezugssystem
VII. Kurven und Kurvensysteme auf einer Fläche
VIII. Flächentheorie im Wilczynskischen System
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Projektive Differentialgeometrie 3. Teil
Projektive Differentialgeometrie 3. TeilGerrit BolIX. Alternierende Formen und ihre Anwendungen
X. Kurvennetze
XI. Strahlenkongruenzen und Strahlenkomplexe
XII. T-Figuren
XIII. Anwendung der Tensorrechnung
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