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3. Linear Differential Equations
4. Linear Systems with Isolated Singularities: Singularities of the First Kind
5. Linear Systems with Isolated Singularities: Singularities of the Second Kind
6. Asymptotic Behavior of Linear Systems Containing a Large Parameter
7. Self-adjoint Eigenvalue Problems on a Finite Interval
8. Oscillat...
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Operations Research - An Introduction
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II. Probabilistic Models
III. Nonlinear Programming
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Homology Theory
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1. The Topology of Polyhedra
2. Homology Theory of a Simplicial Complex
3. Chain Complexes
4. The Contrahomology Ring for Polyhedra
5. Abian Groups and Homological Algebra
6. The Fundamental Group and Covering Spaces
Part II. General Homology Theory
7. Contrahomology and Maps
8. Singular Homology Theory
9. The Singular Contrahomology Ring
10. Spectral Homology Theory and Homology Theory of Groups
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An Introduction to Plane Projective Geometry
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III. General or Conical Projection
IV. Homogeneous Coordinates and the Straight Line
V. Perspectivity and Projectivity
VI. Projective Transformations
VII. Cross-ratio
VIII. The Generation of the Conic
IX. The Conic: General Properties
X. Special Forms of the Equations of the Conic
XI. Quadrilaterals and Quadrangles
XII. Pencils and Ranges of Conics
XIII. P...
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Elementary Geometry from an Advanced Standpoint
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Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry fr...
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Principles of Operations Research
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2. Formulation of Linear Optimization Models
3. Algebraic and Geometric Representations of Linear Optimization Models
4. Simplex Method of Solution
5. Sensitivity Testing and Duality
6. Transportation Problem
7. Shortest-Route and other Network Models
8. Introduction to Dynamic Optimization Models
9. Dynamic Optimization of Inventory Scheduling
10. Other Examples of Dynamic Programming
11. Decision-Mak...
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Infinite Sequences and Series
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1. Introduction and Prerequisites
2. Sequences and Series
3. The Main Tests for Infinite Series. Operating with Convergent Series
4. Power Series
5. Development of the Theory of Convergence
6. Expansion of the Elementary Functions
7. Numerical and Closed Evaluation of Series
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Functions of Several Variables
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2. Differentiation of Real-Valued Functions
3. Vector-Valued Functions of One Variable
4. Vector-Valued Functions of Several Variables
5. Integration
6. Exterior Algebra and Differential Calculus
7. Integration on Manifolds
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Vector and Tensor Analysis
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II. Motor Algebra
III. Vector Functions of One Variable
IV. Linear Vector Functions
V. Differential Invariants
VI. Integral Transformations
VII. Hydrodynamics
VIII. Geometry of a Surface
IX. Tensor Analysis
X. Quaternions
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Mathematical Methods for Physicists
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2. Coordinate Systems
3. Tensor Analysis
4. Determinants, Matrices, and Group Theory
5. Infinite Series
6. Functions of a Complex Variable I
7. Functions of a Complex Variable II: Calculus of Residues
8. Differential Equations
9. Sturm-Liouville Theory - Orthogonal Functions
10. The Gamma Function (Factorial Function)
11. Bessel Functions
12. Legendre Functions
13. Special Functions
14. Fourier Series
15. Integral Trnasforms
16. ...
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Differential and Integral Calculus volume I
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I. Introduction
II. The fundamental ideas of the integral and differential calculus
III. Differentiation and integration of the elementary functions
IV. Further development of the integral calculus
V. Applications
VI. Taylor's theorem and the approximate expression of functions by polynomials
VII. Numerical methods
VIII. Infinite series and other limiting processes
IX. Fourier series
X. A sketch of ...
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Differential and Integral Calculus volume II
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I. Preliminary remarks on analytical geometry and vector analysis
II. Functions of several variables and their derivatives
III. Developments and applications of the differential calculus
IV. Multiple integrals
V. Integration over regions in several dimensions
VI. Differential equations
VII. Calculus of variations
VIII. Functions of a complex variable
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Finite-Dimensional Vector Spaces
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III. Orthogonality
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Introduction to Hilbert Space and the Theory of Spectral Multiplicity
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Measure Theory
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II. Measures and Outer Measures
III. Extension of Measures
IV. Measurable Functions
V. Integration
VI. General Set Functions
VII. Product Spaces
VIII. Transformations and Functions
IX. Probability
X. Locally Compact Spaces
XI. Haar Measure
XII. Measure and Topology in Groups
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Functional analysis in historical perspective
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A Hilbert Space Problem Book
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5. Boundedness and Invertibility
6. Multiplication Operators
7. Operator Matrices
8. Properties of Spectra
9. Examples of Spectra
10. Spectral Radius
11. Norm Topology
12. Strong and Weak Topologies
13. Partial Isometries
14. Unilateral Shift
15. Compact Operators
16. Subnormal Operators
17. Numerical Range
18. Unitary Dilations
19. Commutators of Operators
20. Toeplitz Ope...
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IV. Hilbert and the calculus of variations
V. Complex functions and potentials
VI. Functional-analytic approach
VII. Modern developments
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