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

Worked Problems in Applied MathematicsN.N. Lebedev, I.P. Skalskaya, Y.S. Uflyand1. Derivation of Equations and Formulation of Problems 2. Some Special Methods for Solving Hyperbolic and Elliptic Equations 3. Steady-state Harmonic Oscillations 4. The Fourier Method 5. The Eigenfunction Method for Solving Inhomogeneous Problems 6. Integral Transforms 7. Curvilinear Coordinates 8. Integral Equations Solutions

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...

Theory of Ordinary Differential EquationsEarl A. Coddington, Norman Levinson1. Existence and Uniqueness of Solutions 2. Existence and Uniqueness of Solutions (continued) 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...

Operations Research - An IntroductionHamdy A. TahaI. Linear, Dynamic, and Integer Programming II. Probabilistic Models III. Nonlinear Programming

Homology TheoryP.J. Hilton, S. WyliePart I. Homology Theory of Polyhedra 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

An Introduction to Plane Projective GeometryE.J. Hopkins, J.S. HailsI. Fundamental Elements and Axioms of Incidence II. Orthogonal Projection 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...

Elementary Geometry from an Advanced StandpointEdwin E. MoiseOne of the purposes of this book is to reexamine geometry, to clean up behind introductory courses, furnishing valid definitions and valid proofs for concepts and theorems which were already known, at least in some sense and some form. 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...

Principles of Operations ResearchHarvey M. Wagner1. The Art and Science of Executive Decisions 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...

Infinite Sequences and SeriesKonrad KnoppTranslated by Frederick Bagemihl 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

Functions of Several VariablesWendell H. Fleming1. Euclidean Spaces, Convexity 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

Vector and Tensor AnalysisLouis BrandI. Vector Algebra 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

The Art and Theory of Dynamic ProgrammingStuart E. Dreyfus, Averill M. Law1. Elementary Path Problems 2. Equipment Replacement 3. Resource Allocation 4. The General Shortest-Path Problem 5. The Traveling-Salesman Problemx 6. Problems with Linear Dynamics and Quadratic Criteria 7. Discrete-Time Optimal-Control Problems 8. The Cargo-Loading Problem 9. Stochastic Path Problems 10. Stochastic Equipment Inspection and Replacement Models 11. Dynamic Inventory Systems 12. Inventory Models with Special ...

Mathematical Methods for PhysicistsGeorge Arfken1. Vector Analysis 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. ...

Differential and Integral Calculus volume IR. CourantTranslated from the German by E.J. McShane 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 ...

Differential and Integral Calculus volume IIR. CourantTranslated from the German by E.J. McShane 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

Finite-Dimensional Vector SpacesPaul R. HalmosI. Spaces II. Transformations III. Orthogonality IV. Analysis Appendix. Hilbert Space

Introduction to Hilbert Space and the Theory of Spectral MultiplicityPaul R. HalmosI. The Geometry of Hilbert Space II. The Algebra of Operators III. The Analysis of Spectral Measures

Measure TheoryPaul R. HalmosI. Sets and Classes 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

Functional analysis in historical perspectiveDr. A.F. MonnaI. The development of functional analysis II. The development of the notion of a linear space III. General analysis IV. Some characteristic topics