1. Linear Functions and Models2. Quadratic Functions and Models3. Natural Growth Models4. Exponnetial and Logarithmic Models5. Polynomial Models6. Trigonometric Models7. Bounded Growth Models8. OptimizationUitwerkingen met de TI

1. First-Order Differential Equations2. Mathematical Models and Numerical Methods3. Linear Equations of Higher Order4. Introduction to Systems of Differential Equations5. Linear Systems of Differential Equations6. Nonlinear Systems and Phenomena7. Laplace Transform Methods8. Power Series Methods9. Fourier Series Methods10. Eigenvalues and Boundary Value Problems

1. Introduction2. Logical Reasoning3. Constructing and Wroiting Proofs4. Set Theory5. Mathematical Induction6. Functions7. Equivalence Relations8. Topics in Number Theory9. Finite and Infoiniyte Sets

1. Classical Theory2. Lebesgue Measure3. Lebesgue Integration4. Products of Measures5. Change of Variables6. Some Basic Inequalities7. Elements if Fourier Analysis8. A Little Abstract Theory

1. Differentiation von Vektoren2. Raumkurven und Kurvenintegrale3. Flächen4. Gauss5. Stokes6. Othogonale krummlinige7. Fourier Reihen8. Fourier Transformation9. Laplace10. Variationsrechnung11. Komplexen Variabelen

1. The Real and Complex Number Systems2. Elements of Set Theory3. Numerical Sequences and Series4. Continuity5. Differentiation6. The Riemann-Stieltjes Integral7. Sequences and Series of Functions8. Further Topics in the Theory of Series9. Functions of Several Variables10. The Lebesgue Theory

I. InleidingII. Projectieve RuimtenIII. DualiteitIV. De DubbelverhoudingV. Projectieve afbeeldingenVI. Het reële projectieve vlakVII. Projectieve afbeeldingen van een lijn op zichzelfVIII. Projectieve afbeeldingen van een vlak op een vlakIX. KegelsnedenX. Projectieve afbeelding van kegelsnedenXI. Affiene meetkundeXII. Gelijkvormigheidsmeetkunde en metrische meetkundeXIII. Bundels kwadriekenGemengde opgaven

Many current texts in the area are just cookbooks and as a result students do not know why they perform the methods they are taught or why the methods work. The strength of this book is that it readdresses these shortcomings; by using examples often from real life and using real data the authors show how the fundamentals of probabilistic and statistical theories arise intuitively.A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to students....

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1. Inleiding2. Illustratieve kansproblemen3. De wet van grote aantallen en simulatie4. Kansproblemen en simulatie5. Discrete kansverdelingen met toepassingen6. De normale verdeling en de centrale limietstelling7. Kansbomen en beslissen onder onzekerheid

including 640 solved problems1. Complex Numbers2. Functions Limits and Continuity3. Complex Differentiation and the Cauchy-Riemann Equations4. Complex Integration and Cauchy's Theorem5. Cauchy's Integral Formulae and Related Theorems6. Infinite Series. Taylor's and Laurent Series7. The Residue Theorem. Evaluation of Integrals and Series8. Conformal Mapping9. Physical Applications of Conformal Mapping10. Special Topics

HOVO cursus

I. IntroductionII. Topological spacesIII. Particular types of topological spacesIV. HomotopyV. Simplicial complexesVI. Homology

I. Reële getallen absolute waarde en limietenII. Continue functiesIII. DifferentiaalquotiëntenIV. Maxima en minimaV. Het integraalbegripVI. Functies van meer dan één veranderlijkeVII. Meetkundige toepassingen

I. IntegratieII. Oneindige reeksenIII. Meervoudige integralenIV. Inhouden oppervlakten zwaartepunten en traagheidsmomentenV. Oneigenlijke integralen

I. Algebraic PreliminariesII. Projective SpacesIII. Plane Algebraic CurvesIV. Formal Power SeriesV. Transformations of a CurveVI. Linear Series

I. Mappings and OperationsII. Introduction to GroupsIII. Equivalence. Congruence. Divisibility IV. GroupsV. Introduction to RingsVI. The Familiar Number SystemsVII. Group HomomorphismsVIII. Applications of Permutation GroupsIX. SymmetryX. PolynomialsXI. Quotient RingsXII. Field ExtensionsXIII. Polynomial EquationsXIV. Geometric ConstructionsXV. Algebraic CodingXVI. Lattices and Boolean Algebras

1. Functions and Models2. Limits and Derivatives3. Differentiation Rules4. Applications of Differentiation5. Integrals6. Applications of Integration7. Techniques of Integration8. Further Applications of Integration9. Differential Equations10. Parametric Equations and Polar Coordinates11. Infinite Sequences and Series12. Vectors and the Geometry of Space13. Vector Functions14. Partial Derivatives15. Multiple Integrals16. Vector Calculus17. Second-Order Differential Equations

1. Lineare Algebra2. Körpertheorie3. Anwendungen (von N.A. Milgram)

Unter Benutzung von Vorlesungen von E. Artin und E. Noether1. Zahlen und Mengen2. Gruppen3. Ringe und Körper4. Vektorräume und Tensorräume5. Ganzrationale Funktionen6. Körpertheorie7. Fortsetzung der Gruppentheorie8. Die Theorie von Galois9. Ordnung und Wohlordnung von Mengen10. Unendliche Körpererweiterungen11. Reelle Körper