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Perimetry --- Visual Fields --- Atlases. --- Automation. --- Visual Field Tests --- Field, Visual --- Fields, Visual --- Visual Field --- Automated Perimetry Exam --- Campimetry --- Tangent Screen Exam --- Visual Field Exam --- Automated Perimetry Exams --- Campimetries --- Exam, Automated Perimetry --- Exam, Tangent Screen --- Exam, Visual Field --- Exams, Automated Perimetry --- Exams, Tangent Screen --- Exams, Visual Field --- Field Exam, Visual --- Field Exams, Visual --- Field Test, Visual --- Field Tests, Visual --- Perimetries --- Perimetry Exam, Automated --- Perimetry Exams, Automated --- Screen Exam, Tangent --- Screen Exams, Tangent --- Tangent Screen Exams --- Test, Visual Field --- Tests, Visual Field --- Visual Field Exams --- Visual Field Test

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Differential geometry. Global analysis --- Tangent bundles --- Geometry, Differential --- Géométrie différentielle --- 514.7 --- Bundles, Tangent --- Differentiable manifolds --- Differential geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Geometry, Differential. --- Tangent bundles. --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Géométrie différentielle --- Géometrie différentielle

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An accessible, streamlined, and user-friendly approach to calculusCalculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure.Fernandez begins by offering an intuitive introduction to the three key ideas in calculus-limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources-including video tutorials and interactive graphs-are available on the book's website.Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions-these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics-chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus.Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence.· An accessible, intuitive introduction to first-semester calculus· Nearly 200 solved problems and more than 300 exercises (all with answers)· No prior knowledge of exponential, logarithmic, or trigonometric functions required· Additional online resources-video tutorials and supplementary exercises-provided

Calculus --- Infinitesimal change. --- Leibniz’s notation for the integral. --- antiderivatives. --- at a point. --- continuity. --- derivative at a point. --- differentiability. --- differentiation shortcuts. --- differentiation. --- higher-order derivatives. --- indefinite integrals. --- instantaneous rate of change interpretation of the derivative. --- instantaneous speed problem. --- limit laws. --- limits approaching infinity. --- limits yielding infinity. --- linearization. --- on an interval. --- one-sided limits. --- optimization theory. --- tangent line problem. --- two-sided limits.

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Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Families of measured geodesic laminations are described by specifying a train track in the surface, and the space of measured geodesic laminations is analyzed by studying properties of train tracks in the surface. The material is developed from first principles, the techniques employed are essentially combinatorial, and only a minimal background is required on the part of the reader. Specifically, familiarity with elementary differential topology and hyperbolic geometry is assumed. The first chapter treats the basic theory of train tracks as discovered by W. P. Thurston, including recurrence, transverse recurrence, and the explicit construction of a measured geodesic lamination from a measured train track. The subsequent chapters develop certain material from R. C. Penner's thesis, including a natural equivalence relation on measured train tracks and standard models for the equivalence classes (which are used to analyze the topology and geometry of the space of measured geodesic laminations), a duality between transverse and tangential structures on a train track, and the explicit computation of the action of the mapping class group on the space of measured geodesic laminations in the surface.

Geodesics (Mathematics) --- CW complexes. --- Combinatorial analysis. --- Ambient isotopy. --- Analytic function. --- Axiom. --- Brouwer fixed-point theorem. --- CW complex. --- Cantor set. --- Cardinality. --- Change of basis. --- Coefficient. --- Combinatorics. --- Compactification (mathematics). --- Conjugacy class. --- Connected component (graph theory). --- Connectivity (graph theory). --- Coordinate system. --- Cotangent space. --- Covering space. --- Deformation theory. --- Dehn twist. --- Diffeomorphism. --- Differential topology. --- Disjoint sets. --- Disjoint union. --- Disk (mathematics). --- Eigenvalues and eigenvectors. --- Embedding. --- Equation. --- Equivalence class (music). --- Equivalence class. --- Equivalence relation. --- Euclidean space. --- Euler characteristic. --- Explicit formula. --- Explicit formulae (L-function). --- Fiber bundle. --- Foliation. --- Fuchsian group. --- Geodesic curvature. --- Geometry. --- Harmonic function. --- Homeomorphism. --- Homotopy. --- Horocycle. --- Hyperbolic geometry. --- Hyperbolic motion. --- Hyperbolic space. --- Incidence matrix. --- Inequality (mathematics). --- Infimum and supremum. --- Injective function. --- Intersection (set theory). --- Intersection number (graph theory). --- Intersection number. --- Interval (mathematics). --- Invariance of domain. --- Invariant measure. --- Jordan curve theorem. --- Kähler manifold. --- Lexicographical order. --- Linear map. --- Linear subspace. --- Mapping class group. --- Mathematical induction. --- Monogon. --- Natural topology. --- Orientability. --- Pair of pants (mathematics). --- Parallel curve. --- Parametrization. --- Parity (mathematics). --- Projective space. --- Quadratic differential. --- Scientific notation. --- Sign (mathematics). --- Special case. --- Spectral radius. --- Standard basis. --- Subsequence. --- Subset. --- Summation. --- Support (mathematics). --- Symplectic geometry. --- Symplectomorphism. --- Tangent space. --- Tangent vector. --- Tangent. --- Teichmüller space. --- Theorem. --- Topological space. --- Topology. --- Total order. --- Train track (mathematics). --- Transitive relation. --- Transpose. --- Transversality (mathematics). --- Transverse measure. --- Uniformization theorem. --- Unit tangent bundle. --- Unit vector. --- Vector field.

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The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

Cartes harmoniques --- Harmonic maps --- Harmonische kaarten --- Immersies (Wiskunde) --- Immersions (Mathematics) --- Immersions (Mathématiques) --- Harmonic maps. --- Differential equations, Elliptic --- Applications harmoniques --- Immersions (Mathematiques) --- Équations différentielles elliptiques --- Numerical solutions. --- Solutions numériques --- Équations différentielles elliptiques --- Solutions numériques --- Differential equations [Elliptic] --- Numerical solutions --- Embeddings (Mathematics) --- Manifolds (Mathematics) --- Mappings (Mathematics) --- Maps, Harmonic --- Arc length. --- Catenary. --- Clifford algebra. --- Codimension. --- Coefficient. --- Compact space. --- Complex projective space. --- Connected sum. --- Constant curvature. --- Corollary. --- Covariant derivative. --- Curvature. --- Cylinder (geometry). --- Degeneracy (mathematics). --- Diagram (category theory). --- Differential equation. --- Differential geometry. --- Elliptic partial differential equation. --- Embedding. --- Energy functional. --- Equation. --- Existence theorem. --- Existential quantification. --- Fiber bundle. --- Gauss map. --- Geometry and topology. --- Geometry. --- Gravitational field. --- Harmonic map. --- Hyperbola. --- Hyperplane. --- Hypersphere. --- Hypersurface. --- Integer. --- Iterative method. --- Levi-Civita connection. --- Lie group. --- Mathematics. --- Maximum principle. --- Mean curvature. --- Normal (geometry). --- Numerical analysis. --- Open set. --- Ordinary differential equation. --- Parabola. --- Quadratic form. --- Sign (mathematics). --- Special case. --- Stiefel manifold. --- Submanifold. --- Suggestion. --- Surface of revolution. --- Symmetry. --- Tangent bundle. --- Theorem. --- Vector bundle. --- Vector space. --- Vertical tangent. --- Winding number. --- Differential equations, Elliptic - Numerical solutions