Meetkunde - facetten van de planimetrie en stereometrieJ.M. Aarts1. De drie- vier- vijf-steek 2. Over afstanden en metrische ruimten 3. Verplaatsingen en isometrieën 4. Uitgangspunten van de planimetrie 5. Lokale coördinaten. Vergelijkingen van een lijn 6. Het inwendig product en de determinant 7. Spiegelingen in een lijn. Congruentie 8. Grootte en oriëntatie van hoeken 9. Spiegelingen in een punt 10. Translaties- en rotatie-groepen 11. Gelijkvormigheidstransformaties 12. Fractal...

Vectoren en MatricesJan van de CraatsIngebonden uitgave Een inleiding in de lineaire algebra 1. Vectorrekening 2. Vectorruimten 3. Stelsels lineaire vergelijkingen 4. Matrixrekening 5. Determinanten 6. Lineaire afbeeldingen 7. Beeldruimte, nulruimte en rang 8. Eigenwaarden en diagonaliseerbaarheid 9. Inproductruimten 10. Kwadratische krommen en oppervlakken

Getaltheorie voor BeginnersFrits Beukers1. De pioniers 2. De regels van het spel 3. Priemontbinding en ggd's 4. Delers 5. Mersenne- en Fermatgetallen 6. Congruentierekening 7. Congruentie in actie 8. Priemtesten en priemontbinding 9. Cryptografie 10. Decimale ontwikkeling 11. Kwadraatresten 12. Sommen van kwadraten 13. De laatste stelling van Fermat 14. Kettingbreuken 15. De vergelijking van Pell 16. Diophantische vergelijkingen 17. Het abc-vermoeden 18. Irrationaliteit en transcendentie 19. Pri...

VectoranalyseW.D. Day1. Inleiding 2.Inleiding tot vectoren 3. Vectoralgebra 4. Differentiëren van vectoren; Integreren 5. Gradiënt en potentiaal 6. Divergentie 7. Rotatie 8. Identiteiten in vectorbetrekkingen; de vergelijking van Laplace 9. Elektrostatische en statische magnetische velden 10. Coördinatenstelsels 11. De vergelijkingen van Maxwell 12. De vectoriële potentiaal 13. Elektromagnetische golven; straling

Theorie der Funktionen mehrerer komplexer VeränderlichenH. Behnke, P. ThullenI. Bereiche über dem erweiterten Raum II. Geometrische Grundlagen III. Darstellung regulärer Funktionen durch elementare Reihen IV. Singuläre Mannigfaltigkeiten V. Die Verteilung der Nullstellen und ausserwesentlichen Singularitäten VI. Theorie der Regularitätsbereiche und Regularitätshüllen VII. Abbildungstheorie

Banach Algebras and Several Complex VariablesJohn Wermer1. Preliminaries and Notations 2. Classical Approximation Theorems 3. Operational Calculus in One Variable 4. Differential Forms 5. The δ-Operator 6. The Equation δu = ƒ 7. The Oka—Weil Theorem 8. Operational Calculus in Several Variables 9. The Šilov Boundary 10. Maximality and Radó’s Theorem 11. Analytic Structure 12. Algebras of Analytic Functions 13. Approximation on Curves in C n 14. Uniform Approximation on Disks in C n 15. T...

Introduction to Linear Algebra and the Theory of MatricesHans SchwerdtfegerI. Geometrical Foundations - Systems of Linear Equations II. Linear Homogeneous Transformations - Rational Operations on Matrices III. Equivalence. Congruence - Bilinear and Quadratic Forms IV. Groups of Matrices. Similarity Appendix: Projective Theory of Null Systems

Tensors, Relativity and CosmologyEric A. LordPart I: Tensors Part II: Special Relativity Part III: General Relativity

Introduction to General RelativityH.A. AtwaterIntroduction to General Relativity is an introductory text on the concepts and modes of calculation used in general relativity. Topics covered range from Newton's laws of motion and the Galilean transformation to tensor analysis, equations of motion of free particles, electromagnetism, and gravitational fields and waves. Solutions of the field equations are also given. The emphasis is on the actual performance of relativistic calculations, rather tha...

Combinatorial Optimization - Algorithms and ComplexityChristos H. Papadimitriou, Kenneth Steiglitz This clearly written, mathematically rigorous text includes a novel algorithmic exposition of the simplex method and also discusses the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; approximation algorithms, local search heuristics for NP-complete problems, more. All chapters are ...

Great Ideas of Operations ResearchJagjit Singh1. What is Operations Research? 2. The Art of Numeracy: Statistical Summarization 3. The Art of Numeracy: Statistical Specification 4. The Art of Numeracy: Statistical Inference 5. Network Analysis 6. Linear Programming 7. Theory of Games: The Logic of Rational Decisions 8. Queueing Theory: How to Handle Bottleneck Problems 9. Monte Carlo Simulation 10. The Confrontation Theorem 11. Operations Research and the Language Question Appendix: The Bridging...

Integration of Equations of Parabolic Type by the Method of NetsV.K. Saul'yevPart I: Construction of Net Equations Part II: Solution of Net Equations Appendix: On the application of Chebyshev polynomials to parabolic net equations

Spectral Approximation of Linear OperatorsFrançoise Chatelin1. The Matrix Eigenvalue Problem 2. Elements of Functional Analysis: Basic Concepts 3. Elements of Functional Analysis: Convergence and Pertubation Theory 4. Numerical Approximation Methods for Integral and Differential Operators 5. Spectral Approximation of a Closed Linear Operator 6. Error Bounds and Localization Results for the Eigenelements 7. Some Examples of Approximations

Geometry of Reflecting Rays and Inverse Spectral ProblemsVesselin M. Petkov, Luchezar N. Stoyanov1. Preliminaries from differential topology and microlocal analysis 2. Reflecting rays 3. Generic properties of refecting rays 4. Bumpy metrics 5. Poisson relation for manifolds with boundary 6. Poisson summation formula for manifolds with boundary 7. Inverse spectral results for generic bounded domains 8. Poisson relation for the scattering kernel 9. Singularities of the scattering kernel for generi...

Regularization of Inverse ProblemsHeinz W. Engl, Martin Hanke, Andreas Neubauer1. Introduction: Examples of Inverse Problems 2. Ill-Posed Linear Operator Equations 3. Regularization Operators 4. Continuous Regularization Methods 5. Tikhonov Regularization 6. Iterative Regularization Methods 7. The Conjugate Gradient Method 8. Regularization With Differential Operators 9. Numerical Realization 10. Tikhonov Regularization of Nonlinear Problems 11. Iterative Methods for Nonlinear Problems

Inverse Source ProblemsVictor Isakov1. Preliminaries 2. Results Overlook 3. Uniqueness Theorems 4. Singular Points of the Exterior Potential 5. Existence Theory 6. Parabolic Problems 7. Hyperbolic Problems

Randwaarde problemen 2+3H.A. Lauwerier1. Verkenning 2. Warmtegeleiding in een staaf 3. Methode van Bernoulli 4. Fourier reeksen 5. Trigonometrische ontwikkelingen bij de warmtegeleiding in een staaf 6. Fourier integralen 7. Warmtegeleiding in een oneindig lange staaf 8. Warmtegeleiding in een half-oneindige staaf 9. Principe van Duhamel 10. Warmtegeleiding in een eindige staaf 11. De trillende snaar 12. Problemen in vlak en ruimte 13. Warmtegeleiding in de ruimte 14. Warmtegeleiding in een blok ...

Elements of Abstract Harmonic AnalysisGeorge Bachman1. The Fourier Transform on the Real Line for Functions in L1 2. The Fourier Transform on the Real Line for Functions in L2 3. Regular Points and Spectrum 4. More on the Gel'fand Theory and an Introduction to Point Set Topology 5. Further Topological Notions 6. Compactness of the Space of Maximal Ideals over a Banach Algebra; an Introduction to Topological Groups and Star Algebras 7. The Quotient Group of a Topological Group and Some Further To...

Lectures on Gleason PartsHerbert S. Bear0. Standing assumptions and notation 1. Examples of Gleason parts 2. Proof of the d-σ-G identity 3. Geometric description of parts in TB 4. Representing measures and parts in TC 5. Inner parts and their associated normed spaces 6. Selection of mutually absolutely continuous representing measuresx 7. Integral kernels 8. Geometric properties of d, and a continuous selection theorem 9. Completeness of the part metric 10. Linear functionals as differences of ...

Hill's EquationWilhelm Magnus, Stanley WinklerI. Basic Concepts II. Characteristic Values and Discriminant III. Elementary Formulas IV. Oscillatory Solution V. Intervals of Stability and Instability VI. Discriminant VII. Coexistence VIII. Examples