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The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.

Geometry, Differential --- Mathematics. --- Math --- Science --- Differential geometry

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Integrale Linguistik honour the life and work of Helmut Gipper. Part I covers the History of Linguistics (Hennig Brinkmann, Eugenio Coseriu, Hartwig Franke & Kristina Franke, Johannes Lohmann, Gerold Ungeheur); Part II Theory of Linguistics (Karl-Otto Apel, Edeltraud Bülow, Shirô Hattori, Ladislaus Hojsak, Alfred Hoppe, Werner Ingendahl, H. Joachim Neuhaus, Guram Ramischwili, Adam Schaff, Maximilian Scherner, Hans Schwarz); Part III Speech Analysis (Werner Abraham, Hartmut Beckers, Bernhard Engelen, Horst Geckeler, Johann Knobloch, Ekkehart Malotki, Peter Schmitter, Karl Schneider, Rudolf Schü

Linguistics. --- Linguistics --- Linguistic science --- Science of language --- Gipper, Helmut --- Language and languages --- Gipper, Helmut.

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Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field that of mathematics and an age limit of 40 has become an accepted tradition. Mathematics has in the mainbeen interpreted as pure mathematics, and this is not so unreasonablesince major contributions in some applied areas can be (and have been)recognized with Nobel Prizes.

Mathematics. --- Mathematicians --- Fields Prizes. --- Mathematics --- Math --- Science --- Awards

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Testing is one of the most controversial of all state and federal educational policies. The effects of testing are quite ambiguous. The same test may lead to different consequences in different circumstances, and teachers may use very different strategies to prepare students for tests. Although most experts agree that mandatory testing leads to teaching to the test, they disagree about whether it leads to meaningless drill, wasted time, de-professionalizing teachers, and demotivating students, or to more challenging and thoughtful curricula, more engaging teaching, increased student mot

Educational tests and measurements --- Education --- Mathematics --- Science --- Standards

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Full-worked solutions to all exercises available at www.springer.com Written by students for students, Bridging the Gap to University Mathematics is a refreshing, new approach to making the transition into undergraduate-level mathematics or a similar numerate degree. Suitable for students of all backgrounds, whether A-level, Scottish Higher, International Baccalaureate or similar, the book helps readers to shape their existing knowledge and build upon current strengths in order to get the most out of their undergraduate studies. The book can be used as a source of private study before embarking on a degree or as a textbook for an introductory course. Clear descriptions and a vast assortment of exercises – complete with solutions – enable the reader to develop and then practice new skills. Topics are delivered as twenty self-contained, manageable chapters, allowing students to dip in and out as they require, easily identifying those areas on which they need practice, whilst skimming over more familiar material. Important concepts are introduced in an easy-to-read manner with a sustained emphasis on worked examples and applications rather than abstract theory. Each chapter also includes an insight into where the reader’s new skills will be employed during the course of their studies, providing a springboard to further research where desired. .

Mathematics. --- Mathematics, general. --- Engineering, general. --- Physics, general. --- Computer Science, general. --- Science, general. --- Computational Science and Engineering. --- Science (General). --- Computer science. --- Physics. --- Engineering. --- Mathématiques --- Informatique --- Physique --- Ingénierie --- Mathematics --- Electronic books. -- local. --- Mathematics -- Study and teaching (Secondary). --- Mathematics -- Study and teaching. --- Mathematics - General --- Physical Sciences & Mathematics --- Study and teaching. --- Study and teaching (Secondary) --- Science. --- Computer mathematics. --- Science, Humanities and Social Sciences, multidisciplinary. --- Informatics --- Science --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Construction --- Industrial arts --- Technology --- Math --- Computer mathematics --- Electronic data processing --- Mathematics - Problems, exercises, etc.