By P. R. Masani (auth.), Chandrajit L. Bajaj (eds.)
Algebraic Geometry and its Applications might be of curiosity not just to mathematicians but additionally to desktop scientists engaged on visualization and similar subject matters. The booklet is predicated on 32 invited papers provided at a convention in honor of Shreeram Abhyankar's sixtieth birthday, which was once held in June 1990 at Purdue college and attended via many popular mathematicians (field medalists), computing device scientists and engineers. The keynote paper is via G. Birkhoff; different participants contain such major names in algebraic geometry as R. Hartshorne, J. Heintz, J.I. Igusa, D. Lazard, D. Mumford, and J.-P. Serre.
By Hans-Wolfgang Henn
Ziel des Buches ist es, zu einem "stimmigen Bild von Mathematik" beizutragen und die Kluft zwischen der Mathematik, die guy in der Schule erlebt hat, und der Mathematik, die guy im Studium kennen lernt, zu ?berbr?cken. Es wird Grundwissen in Geometrie, Arithmetik und Algebra vermittelt. Als foundation f?r die Berufswissenschaft zuk?nftiger Mathematiklehrer ist es insbesondere f?r Bachelorstudieng?nge geeignet. Der Aufbau ist m?glichst wenig formal. Bei Begr?ndungen und Beweisen wird bevorzugt inhaltlich argumentiert. Die Stoffauswahl ist schulbezogen und hat selbstverst?ndlich subjektive Gesichtspunkte. Diese resultieren aus der T?tigkeit des Autors in der Algebraischen Zahlentheorie und Algebraischen Geometrie und aus seinen langj?hrigen Erfahrungen als Gymnasiallehrer und Fachleiter.
By Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov
This quantity includes contributions by means of the most contributors of the 4th overseas Colloquium on Differential Geometry and its similar Fields (ICDG2014). those articles conceal contemporary advancements and are committed as a rule to the research of a few geometric constructions on manifolds and graphs. Readers will discover a vast evaluate of differential geometry and its dating to different fields in arithmetic and physics.
By Frank Nielsen, Rajendra Bhatia
-Presents advances in matrix and tensor info processing within the area of sign, photo and data processing
-Written by way of specialists within the components of theoretical arithmetic or engineering sciences
-Discusses strength purposes in sensor and cognitive platforms engineering
This ebook is an final result of the Indo-French Workshop on Matrix info Geometries (MIG): purposes in Sensor and Cognitive structures Engineering, which used to be held in Ecole Polytechnique and Thales learn and expertise middle, Palaiseau, France, in February 23-25, 2011. The workshop was once generously funded via the Indo-French Centre for the promoting of complicated study (IFCPAR). through the occasion, 22 well known invited french or indian audio system gave lectures on their parts of workmanship in the box of matrix research or processing. From those talks, a complete of 17 unique contribution or cutting-edge chapters were assembled during this quantity. All articles have been completely peer-reviewed and enhanced, in accordance with the feedback of the foreign referees. The 17 contributions awarded are prepared in 3 components: (1) state of the art surveys & unique matrix conception paintings, (2) complicated matrix conception for radar processing, and (3) Matrix-based sign processing purposes.
By Lennart Berggren
Pi is likely one of the few suggestions in arithmetic whose point out inspires a reaction of popularity and curiosity in these no longer involved professionally with the topic. but, regardless of this, no resource booklet on Pi has ever been released. Mathematicians and historians of arithmetic will locate this publication essential. lecturers from the 7th grade onward will locate abundant assets for something from exact subject classes to person talks and targeted pupil tasks.
By Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
Based at the Simons Symposia held in 2015, the court cases during this quantity concentrate on rational curves on higher-dimensional algebraic forms and functions of the idea of curves to mathematics difficulties. there was major development during this box with significant new effects, that have given new impetus to the learn of rational curves and areas of rational curves on K3 surfaces and their higher-dimensional generalizations. One major contemporary perception the publication covers is the concept the geometry of rational curves is tightly coupled to homes of derived different types of sheaves on K3 surfaces. The implementation of this concept ended in proofs of long-standing conjectures bearing on birational houses of holomorphic symplectic types, which in flip may still yield new theorems in mathematics. This lawsuits quantity covers those new insights intimately.