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Topology --- 515.12 --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- General topology --- Topology. --- 515.12 General topology --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear

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515.1 --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Topology --- 515.1 Topology --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Topologie generale

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This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The approach relies on a close relation between trigonal curves/elliptic surfaces, a certain class of ribbon graphs, and subgroups of the modular group, which provides a combinatorial framework for the study of geometric objects. A brief summary of the necessary auxiliary results and techniques used and a background of the principal problems dealt with are included in the text. The book is intended to researchers and graduate students in the field of topology of complex and real algebraic varieties.

Curves, Plane. --- Topological degree. --- Curves, Plane --- Topological degree --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Higher plane curves --- Plane curves --- Braid Monodromy. --- Dessin d’Enfant. --- Elliptic Surface. --- Fundamental Group. --- Lefschetz Fibration. --- Modular Group. --- Monodromy Factorization. --- Plane Sextic. --- Real Variety. --- Trigonal Curve.

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Differential equations --- Mathematical physics --- 51 <082.1> --- Mathematics--Series --- Differential equations, Elliptic. --- Differential equations, Nonlinear. --- Variational inequalities (Mathematics) --- Topological degree. --- Monotone operators. --- Équations différentielles elliptiques. --- Équations différentielles non linéaires. --- Inégalités variationnelles. --- Degré topologique. --- Opérateurs monotones. --- Differential equations, Elliptic --- Differential equations, Nonlinear --- Monotone operators --- Topological degree --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Operator theory --- Nonlinear differential equations --- Nonlinear theories --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial

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This book discusses current challenges related to teaching geography, mainly at the secondary school and higher education level. Focusing on a range of current topics, different methods, techniques, materials, applications, and approaches to geography education with a regional Central European perspective, the book makes an original contribution to the field. Most of the chapters aims at the practical development of the themes such as geography curriculum (Part I), global education, inquiry-based education, project-based learning, case studies, powerful teaching (Part II), using of information and communication technologies (Part III) in geography teaching. The final part (Part IV) covers some geopolitical, and socio-geographical aspects of the aforementioned Central European former communist countries from the point of view how to teach them with various methods. Therefore, the book can appeal to many geography or science students, researchers and educators studying geography education around the world.

Nonlinear boundary value problems. --- Functional differential equations. --- Topological degree. --- Degree, Topological --- Degree (Topology) --- Degree theory --- Differential equations, Functional --- Curriculums (Courses of study). --- Science Education. --- Curriculum Studies. --- Teaching and Teacher Education. --- Education. --- Education --- Science education. --- Teaching. --- Curricula. --- Algebraic topology --- Differential equations --- Functional equations --- Boundary value problems --- Differential equations, Nonlinear --- Science --- Curriculum planning. --- Study and teaching. --- Curriculum development --- Instructional systems --- Planning --- Science education --- Scientific education --- Curricula --- Design --- Education—Curricula. --- Didactics --- Instruction --- Pedagogy --- School teaching --- Schoolteaching --- Pedagogical content knowledge --- Training --- Core curriculum --- Courses of study --- Curricula (Courses of study) --- Curriculums (Courses of study) --- Schools --- Study, Courses of --- Educació -- Currículums --- Ciència -- Ensenyament