By Stanley E. Payne and Joseph A. Thas
By Bernhard Riemann
In diesem Werk wird einer der klassischen Texte der Mathematik umfassend historisch, mathematisch, physikalisch und philosophisch von Jürgen Jost ausführlich kommentiert und die gesamte Entwicklung dieser Disziplinen eingeordnet. Neben dem Urtext wird auch der historisch wichtige Kommentarteil von Hermann Weyl wiedergegeben.
By Ralf Meyer
Periodic cyclic homology is a homology thought for non-commutative algebras that performs an analogous position in non-commutative geometry as de Rham cohomology for gentle manifolds. whereas it produces sturdy effects for algebras of gentle or polynomial services, it fails for higher algebras similar to so much Banach algebras or C*-algebras. Analytic and native cyclic homology are variations of periodic cyclic homology that paintings larger for such algebras. during this e-book, the writer develops and compares those theories, emphasizing their homological homes. This contains the excision theorem, invariance lower than passage to sure dense subalgebras, a common Coefficient Theorem that relates them to $K$-theory, and the Chern-Connes personality for $K$-theory and $K$-homology. The cyclic homology theories studied during this textual content require a great deal of practical research in bornological vector areas, that's provided within the first chapters. The focal issues listed below are the connection with inductive platforms and the sensible calculus in non-commutative bornological algebras. a few chapters are extra uncomplicated and self reliant of the remainder of the e-book and should be of curiosity to researchers and scholars engaged on useful research and its purposes.
By W.b. Frankland
The booklet has no illustrations or index. it can have quite a few typos or lacking textual content. although, dealers can obtain a loose scanned replica of the unique infrequent ebook from the publisher's web site (GeneralBooksClub.com). you can even preview excerpts of the ebook there. dealers also are entitled to a loose trial club within the common Books membership the place they could make a choice from greater than 1000000 books for free of charge. unique writer: London, G. Newnes, restricted; book date: 1902; topics: Geometry; Euclid's components; Euclid's parts; arithmetic / Geometry / basic; arithmetic / background
By Ronald N. Umble, Zhigang Han
Designed for a one-semester direction on the junior undergraduate point, Transformational airplane Geometry takes a hands-on, interactive method of instructing aircraft geometry. The e-book is self-contained, defining uncomplicated strategies from linear and summary algebra progressively as needed.
The textual content adheres to the nationwide Council of lecturers of arithmetic Principles and criteria for faculty Mathematics and the typical middle kingdom criteria Initiative Standards for Mathematical Practice. destiny academics will gather the abilities had to successfully practice those criteria of their study rooms.
Following Felix Klein’s Erlangen Program, the publication presents scholars in natural arithmetic and scholars in instructor education courses with a concrete visible replacement to Euclid’s only axiomatic method of aircraft geometry. It permits geometrical visualization in 3 ways:
- Key strategies are prompted with exploratory actions utilizing software program in particular designed for acting geometrical buildings, reminiscent of Geometer’s Sketchpad.
- Each proposal is brought synthetically (without coordinates) and analytically (with coordinates).
- Exercises contain a number of geometric buildings that use a reflecting tool, similar to a MIRA.
After reviewing the basic ideas of classical Euclidean geometry, the ebook covers basic changes of the airplane with specific recognition to translations, rotations, reflections, stretches, and their compositions. The authors practice those ameliorations to review congruence, similarity, and symmetry of airplane figures and to categorise the isometries and similarities of the plane.
By Dan Pedoe
Lucid, well-written advent to easy geometry often incorporated in undergraduate and first-year graduate classes in arithmetic. issues comprise vector algebra within the aircraft, circles and coaxial structures, mappings of the Euclidean airplane, similitudes, isometries, mappings of the extensive aircraft, even more. contains over 500 workouts.