By P. J. Hilton
By P. J. Hilton
By S. Chmutov,S. Duzhin,J. Mostovoy
By Klaus Lamotke
Die Theorie Riemannscher Flächen stellt der Autor als einen Mikrokosmos der Reinen Mathematik dar, in dem Methoden der Topologie und Geometrie, der komplexen und reellen research sowie der Algebra zusammenwirken. Der Band enthält Einführungen in die Topologie (Fundamentalgruppe, Überlagerungen, Flächen), algebraische Geometrie (Kurven und ihre Singularitäten) und Potenzialtheorie (Perron-Prinzip). Mit vielen Beispielen und Bildern.
By Junjiro Noguchi
By Chuanming Zong
By Tej Bahadur Singh
Topology is a big topic with many branches greatly classified as algebraic topology, point-set topology, and geometric topology. Point-set topology is the most language for a wide number of mathematical disciplines. Algebraic topology serves as a robust instrument for learning the issues in geometry and various different parts of arithmetic.
Elements of Topology offers a simple advent to point-set topology and algebraic topology. it really is meant for complex undergraduate and starting graduate scholars with operating wisdom of research and algebra. issues mentioned contain the speculation of convergence, functionality areas, topological transformation teams, basic teams, and masking spaces.
The writer makes the topic available through delivering greater than 250 labored examples and counterexamples with functions. The textual content additionally comprises a number of end-of-section workouts to place the cloth into context.
By Jürgen Jost
The major goal of this ebook is to explain and enhance the conceptual, structural and summary considering arithmetic. particular mathematical constructions are used to demonstrate the conceptual process; offering a deeper perception into mutual relationships and summary universal gains. those rules are conscientiously prompted, defined and illustrated via examples in order that the various extra technical proofs might be passed over. The booklet can as a result be used:
· easily as an outline of the landscape of mathematical constructions and the family among them, to be supplemented via extra precise texts everytime you are looking to collect a operating wisdom of a few structure
· on its own as a primary creation to summary mathematics
· including latest textbooks, to place their effects right into a extra common perspective
· to achieve a brand new and expectantly deeper viewpoint after having studied such textbooks
Mathematical Concepts has a broader scope and is much less specific than normal mathematical textbooks in order that the reader can effectively snatch the fundamental suggestions and ideas for person wishes. it is going to be appropriate for complicated mathematicians, postgraduate scholars and for scientists from different fields with a few history in formal reasoning.
By Su Bu-qing,Liu Ding-yuan,Chang Geng-Zhe
Organized into 8 chapters, this booklet starts off with an outline of the items experiences in computational geometry, specifically surfaces and curves. this article then explores the advancements within the conception and alertness of spline services, which all started with cubic spline features. different chapters examine the mechanical history of the cubic spline features, that is the wood spline with small deflection. This publication discusses besides that during mathematical lofting the data of a geometrical form is given through a collection of knowledge issues, whereas in geometric layout alternative routes of representations can be found. the ultimate bankruptcy offers with the innovations within the idea of algebraic curves.
This e-book is a priceless source for mathematicians.
By John McCleary
By Tom Lyche,Larry L. Schumaker
This ebook comprises forty eight chapters that come with the subjects of blossoming, cyclides, information becoming and interpolation, and discovering intersections of curves and surfaces. substantial chapters discover the geometric continuity, geometrical optics, photo and sign processing, and modeling of geological buildings. the remainder chapters speak about the foundations of multiresolution research, NURBS, offsets, radial foundation features, rational splines, robotics, spline and Bézier equipment for curve and floor modeling, subdivision, terrain modeling, and wavelets.
This booklet will end up helpful to mathematicians, laptop scientists, and improve arithmetic students.