By Hans Schwerdtfeger
Illuminating, broadly praised publication on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This e-book can be in each library, and each professional in classical functionality idea will be acquainted with this fabric. the writer has played a different carrier by means of making this fabric so comfortably available in one book." — Mathematical Review.
By Edwin E Moise
Scholars can depend on Moise's transparent and thorough presentation of simple geometry theorems. the writer assumes that scholars haven't any past wisdom of the topic and offers the fundamentals of geometry from the floor up. This entire method offers teachers flexibility in educating. for instance, a sophisticated classification may perhaps growth speedily via Chapters 1-7 and commit so much of its time to the fabric offered in Chapters eight, 10, 14, 19, and 20. equally, a much less complicated classification may match rigorously via Chapters 1-7, and put out of your mind a few of the more challenging chapters, akin to 20 and 24.
By Shun-ichi Amari
This is often the 1st accomplished publication on details geometry, written via the founding father of the sector. It starts with an easy advent to dualistic geometry and proceeds to a variety of functions, overlaying details technological know-how, engineering, and neuroscience. It contains 4 elements, which mostly will be learn independently. A manifold with a divergence functionality is first brought, best on to dualistic constitution, the center of knowledge geometry. This half (Part I) may be apprehended with none wisdom of differential geometry. An intuitive rationalization of recent differential geometry then follows partially II, even if the e-book is for the main half comprehensible with no smooth differential geometry. info geometry of statistical inference, together with time sequence research and semiparametric estimation (the Neyman–Scott problem), is tested concisely partly III. functions addressed partly IV comprise sizzling present issues in laptop studying, sign processing, optimization, and neural networks. The booklet is interdisciplinary, connecting arithmetic, info sciences, physics, and neurosciences, inviting readers to a brand new global of knowledge and geometry. This e-book is extremely suggested to graduate scholars and researchers who search new mathematical tools and instruments precious of their personal fields.
By Paul B. Yale
Designed for advanced undergraduate arithmetic or physics classes, this volume focuses on "practical geometry," emphasizing themes and strategies of maximal use in all parts of arithmetic. topics contain algebraic and combinatoric preliminaries, isometries and similarities, an advent to crystallography, fields and vector areas, affine areas, and projective areas. 1968 version.
By Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy
This e-book gathers contributions through revered specialists at the thought of isometric immersions among Riemannian manifolds, and makes a speciality of the geometry of CR buildings on submanifolds in Hermitian manifolds. CR constructions are a package deal theoretic recast of the tangential Cauchy–Riemann equations in advanced research related to a number of complicated variables. The e-book covers a variety of issues akin to Sasakian geometry, Kaehler and in the neighborhood conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.
Intended as a tribute to Professor Aurel Bejancu, who came across the proposal of a CR submanifold of a Hermitian manifold in 1978, the ebook offers an up to date review of numerous themes within the geometry of CR submanifolds. proposing special info at the latest advances within the quarter, it represents an invaluable source for mathematicians and physicists alike.