Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential topology. --- 515.16 --- 515.16 Topology of manifolds --- Topology of manifolds --- Differential topology --- Topologie différentielle

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book an excellent and useful introduction for the student. There are numerous excercises on many different levels ranging from practical applications of the theorems to significant further development of the theory and including some open research problems.

Differential topology --- Topologie différentielle --- Topologie différentielle --- Differential topology. --- 515.16 --- Geometry, Differential --- Topology --- 515.16 Topology of manifolds --- Topology of manifolds --- Equations differentielles sur une variete --- Topologie differentielle

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Algebraic topology --- Homeomorphisms --- Manifolds (Mathematics) --- Topology --- Homéomorphismes --- Variétés (Mathématiques) --- Topologie --- 515.16 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Geometry, Differential --- Topological spaces --- Transformation groups --- Topology of manifolds --- Homeomorphisms. --- Topology. --- Manifolds (Mathematics). --- 515.16 Topology of manifolds --- Homéomorphismes --- Variétés (Mathématiques) --- Variétés topologiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential geometry. Global analysis --- Differential equations --- Differential equations, Partial --- Differentiable dynamical systems --- Stability --- Equations différentielles --- Equations aux dérivées partielles --- Dynamique différentiable --- Stabilité --- 515.16 --- #TELE:SISTA --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Partial differential equations --- Equations, Differential --- Bessel functions --- Calculus --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Topology of manifolds --- Differentiable dynamical systems. --- Differential equations, Partial. --- Differential equations. --- Stability. --- 517.91 Differential equations --- 515.16 Topology of manifolds --- Equations différentielles --- Equations aux dérivées partielles --- Dynamique différentiable --- Stabilité --- 517.91. --- Numerical solutions --- 517.91 --- Systèmes dynamiques --- Equations differentielles --- Equations aux derivees partielles --- Stabilite

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions.Originally published in 1960.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

515.16 --- 515.16 Topology of manifolds --- Topology of manifolds --- Riemann surfaces. --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Surfaces, Riemann --- Functions --- Analytic function. --- Axiom of choice. --- Basis (linear algebra). --- Betti number. --- Big O notation. --- Bijection. --- Bilinear form. --- Bolzano–Weierstrass theorem. --- Boundary (topology). --- Boundary value problem. --- Bounded set (topological vector space). --- Branch point. --- Canonical basis. --- Cauchy sequence. --- Cauchy's integral formula. --- Characterization (mathematics). --- Coefficient. --- Commutator subgroup. --- Compact space. --- Compactification (mathematics). --- Conformal map. --- Connected space. --- Connectedness. --- Continuous function (set theory). --- Continuous function. --- Coset. --- Cross-cap. --- Dirichlet integral. --- Disjoint union. --- Elementary function. --- Elliptic surface. --- Exact differential. --- Existence theorem. --- Existential quantification. --- Extremal length. --- Family of sets. --- Finite intersection property. --- Finitely generated abelian group. --- Free group. --- Function (mathematics). --- Fundamental group. --- Green's function. --- Harmonic differential. --- Harmonic function. --- Harmonic measure. --- Heine–Borel theorem. --- Homeomorphism. --- Homology (mathematics). --- Ideal point. --- Infimum and supremum. --- Isolated point. --- Isolated singularity. --- Jordan curve theorem. --- Lebesgue integration. --- Limit point. --- Line segment. --- Linear independence. --- Linear map. --- Maximal set. --- Maximum principle. --- Meromorphic function. --- Metric space. --- Normal operator. --- Normal subgroup. --- Open set. --- Orientability. --- Orthogonal complement. --- Partition of unity. --- Point at infinity. --- Polyhedron. --- Positive harmonic function. --- Principal value. --- Projection (linear algebra). --- Projection (mathematics). --- Removable singularity. --- Riemann mapping theorem. --- Riemann surface. --- Semi-continuity. --- Sign (mathematics). --- Simplicial homology. --- Simply connected space. --- Singular homology. --- Skew-symmetric matrix. --- Special case. --- Subgroup. --- Subset. --- Summation. --- Support (mathematics). --- Taylor series. --- Theorem. --- Topological space. --- Triangle inequality. --- Uniform continuity. --- Uniformization theorem. --- Unit disk. --- Upper and lower bounds. --- Upper half-plane. --- Weyl's lemma (Laplace equation). --- Zorn's lemma.