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Lectures on Tensor Calculus and Differential Geometry
Lectures on Tensor Calculus and Differential GeometryJ.C.H. Gerretsen1. Linear vector spaces
2. Metric vector spaces
3. Bilinear and quadratic forms
4. Tensors
5. Manifolds in a metric point space
6. Curves
7. Geodesic differentiation
8. Hypersurfaces
9. Theory of curvature of general manifolds
10. Theory of integrability
€2,00
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Differentialgeometrie der Kurven und Flächen und Tensorrechnung
Differentialgeometrie der Kurven und Flächen und TensorrechnungVáclav HlavatýKurventheorie
I. Grundlehren über ebene und räumliche Kurven
Flächentheorie
II. Die erste Grundform und ihre Anwendungen
III. Die zweite Grundform und ihre Anwendungen
IV. Besondere Flächen
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Einführung in die Differentialtopologie
Einführung in die DifferentialtopologieTheodor Bröcker, Klaus Jänich1. Mannigfaltigkeiten und differenzierbare Strukturen
2. Der Tangentialraum
3. Vektorraumbündel
4. Lineare Algebra für Vektorraumbündel
5. Lokale und tangetielle Eigenschaften
6. Der Satz von Sard
7. Einbettung
8. Dynamische Systeme
9. Isotopien von Einbettungen
10. Die zusammenhängende Summe
11. Differentialgleichungen 2. Ordnung und Sprays
12. Exponentialabbildung und Tubenumgebungen
13. Berandete Mannigfaltigkeiten
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A Course of Modern Analysis
A Course of Modern AnalysisE.T. Whittaker, G.N. WatsonA Course of Modern Analysis
An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions
I. Complex Numbers
II. The Theory of Convergence
III. Continuous Functions and Uniform Convergence
IV. The Theory of Riemann Integration
V. The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorema
VI. The Theory of Residues; applicati...
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Functional Analysis
Functional AnalysisFrigyes Riesz, Béla Sz.-NagyPart One. Modern Theories of Differentiation and Integration
1. Differentiation
2. The Lebesgue Integral
3. The Stieltjes Integral and Its Generalizations
Part Two. Integral Equations. Linear Transformations
4. Integral Equations
5. Hilbert and Banach Spaces
6. Completely Continuous Symmetric Transformations of Hilbert Space
7. Bounded Symmetric, Unitary, and Normal Transformations of Hilbert Space
8. Unbounded Linear Transformations of Hilbert Spa...
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Calculus vol. I
Calculus vol. ITom M. ApostolI. Introduction
Part 1. Historical Introduction
Part 2. Some Basic Concepts of the Theory of Sets
Part 3. A Set of Axioms for the Real Number System
Part 4. Mathematical Induction, Summation Notation, and RelatedTopics
1. The Concepts of the Integral Calculus
2. Some Applications of Differentiation
3. Continuous Functions
4. Differential Calculus
5. The Relation between Integration and Differentiation
6. The Logarithm, the Exponential, and the Inverse TrigonometricFu...
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Calculus vol. II
Calculus vol. IITom M. ApostolPart 1. Linear analysis
1. Linear spaces
2. Linear transformations and matrices
3. Determinants
4. Eigenvalues and eigenvectors
5. Eigenvalues of operators acting on Euclidean spaces
6. Linear differential equations
7. Systems of differential equations
Part 2. Nonlinear analysis
8. Differential calculus of scalar and vector fields
9. Applications of the differential calculus
10. Line integrals
11. Multiple integrals
12. Surface integrals
Part 3. Special topics
13....
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Functions of a Complex Variable
Functions of a Complex VariableE.G. PhillipsFunctions of a complex variable
Conformal representations
Some special transformations
The complex integral calculus
The calculus of residues
Miscellaneous examples
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Beknopt leerboek der rekenkunde
Beknopt leerboek der rekenkundeL. Bij de LeyTelling en talstelsels
Optelling
Aftrekking
Vermenigvuldiging
Gedurige producten
Deeling
Machtsverheffing
Worteltrekking
Deelbaarheid
Grootste gemeene deeler
Kleinste gemeene veelvoud
Kenmerken van deelbaarheid door optelling en aftrekking
Vraagstukken
Breuken
Verhoudingen
Evenredigheden
Maten, gewichten en munten
Aanhangsel
Antwoorden
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Geprogrammeerde Instructie Wiskunde
Geprogrammeerde Instructie WiskundeW.F. van Raaij1. Bewerkingen
2. Eigenschappen, breuken, exponenten
3. Cirkels van Euler
4. Wortels
5. Machten van tien en logaritmen
6. Vergelijkingen, merkwaardige producten
7. Permutaties, combinaties
8. Tabellen
9. Afrondingen
10. Rekenliniaal
11. Rekenliniaal
12. Rekenliniaal
13. Rekenliniaal
14. Overzicht rekenliniaal
15. Histogram en polygoon
16. Variabelen
17. Richtingscoëfficiënt
18. Functies
19. Inverse functies
20. Rijen
21. Sigma-teken
22. Limieten...
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Geprogrammeerde instructie - Matrix Algebra
Geprogrammeerde instructie - Matrix AlgebraW.F. van Raaij1. Vektoren
2. Afstand en richting
3. Projektie en orthogonale basis
4. Volumina en determinanten
5. Determinanten
6. Matrices
7. Matrixvermenigvuldiging
8. Soorten matrices
9. Matrix-inversie
10. Matrix-rotatie en orthogonaliteit
11. Matrix-transformatie
12. Rang van een matrix
13. Eigenvektoren en eigenwaarden
14. Matrix-rekening
15. Principale componenten
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A First Course in the Qualitative Theory of Differential Equations
A First Course in the Qualitative Theory of Differential EquationsJames Hetao Liu1. A Brief Description
2. Existence and Uniqueness
3. Linear Differential Equations
4. Autonomous Differential Equations in R2
5. Stability. Part I
6. Bifurcation
7. Chaos
8. Dynamical Systems
9. Stability. Part II
10. Bounded Solutions
11. Periodic Solutions
12. Some New Types of Equations
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A Book of Problems in Ordinary Differential Equations
A Book of Problems in Ordinary Differential EquationsM.L. Krasnov, A.I. Kiselyov, G.I. MakarenkoI. Differential Equations of the First Order
II. Differential Equations of Higher Orders
III. Systems of Differential Equations
IV. Stability Theory
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Introduction to Mathematical Probability
Introduction to Mathematical ProbabilityJ.V. UspenskyI. Computation of probability by direct enumeration of cases
II. Theorems of total and compound probability
III. Repeated trials
IV. Probabilities of hypotheses and Bayes' theorem
V. Use of difference equations in solving problems of probability
VI. Bernoulli's theorem
VII. Approximate evaluation of probabilities in Bernoullian case
VIII. Further considerations on games of chance
IX. Mathematical expectation
X. The law of large numbers
XI. App...
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A First Course in Probability
A First Course in ProbabilitySheldon Ross1. Combinatorial Analysis
2. Axioms of Probability
3. Conditional Probability and Independence
4. Random Variables
5. Continuous Random Variables
6. Jointly Distributed Random Variables
7. Properties of Expectation
8. Limit Theorems
9. Additional Topics in Probability
10. Simulation
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Probability and Statistics for Engineers
Probability and Statistics for EngineersRichard Johnson, John Freund, Irwin Miller1. Introduction
2. Organization and Description of Data
3. Probability
4. Probability Distributions
5. Probability Densities
6. Sampling Distributions
7. Inferences Concerning a Mean
8. Comparing Two Treatments
9. Inferences Concerning Variances
10. Inferences Concerning Proportions
11. Regression Analysis
12. Analysis of Variance
13. Factorial Experimentation
14. Nonparametric Tests
15. The Statistical Content of ...
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Population System Control
Population System ControlSong Jian, Yu Jingyuan 1. Introduction
2. Mathematical Models of Population Systems
3. Demographic Indices
4. Dynamic Analysis of a Population System
5. Stability Theory of Population Systems
6. Population Projections and Policies
7. Population Structure in an Ideal Society
8. Optimal Control of Population Processes
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The Basic Practice of Statistics
The Basic Practice of StatisticsDavid S. Moore1. Examining Distributions
2. Examining Relationships
3. Producing Data
4. Sampling Distributions and Probability
5. Introduction to Inference
6. Inference for Distributions
7. Inference for Proportions
8. Inference for Two-Way Tables
9. One-Way Analysis of Variance: Comparing Several Means
10. Inference for Regression
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Applied Multivariate Statistical Analysis
Applied Multivariate Statistical AnalysisRichard A. Johnson, Dean W. WichernCD-ROM included
1. Aspects of Multivariate Analysis
2. Matrix Algebra and Random Variables
3. Sample Geometry and Random Sampling
4. The Multivariate Normal Distribution
5. Inferences about a Mean Vector
6. Comparisons of Several Multivariate Means
7. Multivariate Linear Regression Models
8. Principal Components
9. Factor Analysis and Inference for Structured Covariance Matrices
10. Canonical Correlation Analysis
11. Di...
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Misuded Statistics - Straight Talk for Twisted Numbers
Misuded Statistics - Straight Talk for Twisted NumbersA.J. Jaffe, Herbert F. SpirerNumerous misuses of statistics are described and illustrated, and ways of recognizing and avoiding such misuse are discussed. The following five categories of statistical misuse are identified: a lack of knowledge of the subject matter, the quality of the basic data, the preparation of the study and the report, the statistical methodology, and a deliberate suppression of data. Topics addressed include non-statisti...
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