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

Real and Complex AnalysisWalter Rudin1. Abstract Integration 2. Positive Borel Measures 3. L p -Spaces 4. Elementary Hilbert Space Theory 5. Examples of Banach Space Techniques 6. Complex Measures 7. Integration on Product Spaces 8. Differentiation 9. Fourier Transforms 10. Elementary Properties of Holomorphic Functions 11. Harmonic Functions 12. The Maximum Modulus Principle 13. Approximation by Rational Functions 14. Conformal Mapping 15. Zeros of Holomorphic Functions 16. Analytic Continuatio...

Complex AnalysisLars V. AhlforsI. Complex Numbers II. Complex Functions III. Analytic Functions as Mappings IV. Complex Integration V. Series and Product Developments VI. Conformal Mapping. Dirichlet's Problem VII. Elliptic Functions VIII. Global Analytic Functions

Mathematical Analysis - A Modern Approach to Advanced CalculusT.M. Apostol1. The Real and Complex Number Systems 2. Some Basic Notions of Set Theory 3. Elements of Point Set Topology 4. The Limit Concept and Continuity 5. Differentiation of Functions of One Real Variable 6. Differentiation of Functions of Several Variables 7. Applications of Partial Differentiation 8. Functions of Bounded Variation, Rectifiable Curves and Connected Sets 9. Theory of Riemann-Stieltjes Integration 10. Multiple Int...

Ordinary Differential EquationsE.L. IncePart I. Differential Equations in the Real Domain I. Introductory II. Elementary methods of integration III. The existence and nature of solutions of ordinary differential equations IV. Continuous transformation-groups V. The general theory of linear differential equations VI. Linear equations with constant coefficients VII. The solution of linear differential equations in an infinite form VIII. The solution of linear differential equations by definite int...

A Survey of Modern AlgebraGarrett Birkhoff, Saunders Mac LaneI. The Integers II. Rational Numbers and Fields III. Polynomials IV. Real Numbers V. Complex Numbers VI. Group Theory VII. Vectors and Vector Spaces VIII. The Algebra of Matrices IX. Linear Groups X. Determinants and Canonical Forms XI. Algebra of Classes XII. Transfinite Arithmetic XIII. Rings and Ideals XIV. Algebraic Number Fields XV. Galois Theory

Linear Algebra and Its ApplicationsGilbert Strang1. Matrices and Gaussian Elimination 2. Vector Spaces and Linear Equations 3. Orthogonality 4. Determinants 5. Eigenvalues and Eigenvectors 6. Positive Definite Matrices 7. Computations with Matrices 8. Linear Programming and Game Theory

Geometric TransformationsI.M. YaglomI. Displacements 1. Translations 2. Half Turn and Rotation II. Symmetry 1. Refection and Glide Reflection 2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane

Moderne wiskundeWalter R. FuchsOorspronkelijke titel: Knaurs Buch der modernen Mathematik Nederlandse bewerking: M.G. Beumer 1. Natuurlijke taal en wiskundige constructie 2. Wiskunde als activiteit 3. Het getal als exact geheim 4. Oneindigheden 5. Paradijs of sprookjesland? 6. De antinomie als ziektekiem 7. Structuren 8. Netwerken voor toeval en strategie 9. Wiskundige ruimtelijke ordening 10. Beelden van rijen, rijen van beelden 11. De machinekamer der wiskunde 12. Taalkundige aanbevelingen

Het einde van de voorspelbaarheid? Chaostheorie, ideeën en toepassingenHenk Broer, Jan van de Craats, Ferdinand VerhulstChaotische systemen en de chaostheorie staan zowel in de natuurwetenschappen als in diverse technische disciplines (weersvoorspelling, management-theorie, fractals, beleggingen) de laatste jaren in de belangstelling. De voorspelbaarheid van het gedrag van dynamische systemen hangt samen met dit chaos-effect. In dit boek zetten de auteurs de chaostheorie in het verlengde van he...