By John Snygg
Differential geometry is the examine of the curvature and calculus of curves and surfaces. A New method of Differential Geometry utilizing Clifford's Geometric Algebra simplifies the dialogue to an available point of differential geometry by means of introducing Clifford algebra. This presentation is suitable simply because Clifford algebra is a good device for facing the rotations intrinsic to the examine of curved space.
Complete with chapter-by-chapter workouts, an outline of normal relativity, and short biographies of old figures, this finished textbook offers a beneficial creation to differential geometry. it is going to function an invaluable source for upper-level undergraduates, beginning-level graduate scholars, and researchers within the algebra and physics communities.
Read Online or Download A New Approach to Differential Geometry using Clifford's Geometric Algebra PDF
Best algebra books
The idea of Lie algebras and algebraic teams has been a space of energetic learn for the final 50 years. It intervenes in lots of varied parts of arithmetic: for instance invariant concept, Poisson geometry, harmonic research, mathematical physics. the purpose of this ebook is to gather in one quantity the algebraic points of the idea, with a purpose to current the rules of the speculation in attribute 0.
The instruction manual of Linear Algebra presents entire assurance of linear algebra strategies, functions, and computational software program applications in an easy-to-use guide layout. The esteemed overseas members consultant you from the very ordinary points of the topic to the frontiers of present learn.
The ebook is written in 3 elements. half I includes preparatory paintings on algebras, wanted in elements II and III. This fabric is gifted in a classical, notwithstanding strange, method. half II contains a latest description of the speculation of Brauer teams over fields (from as straightforward some degree of view as possible).
Nonlinear inverse difficulties seem in lots of functions, and usually they result in mathematical versions which are ill-posed, i. e. , they're risky lower than info perturbations. these difficulties require a regularization, i. e. , a distinct numerical therapy. This booklet provides regularization schemes that are in line with new release tools, e.
Extra info for A New Approach to Differential Geometry using Clifford's Geometric Algebra
A New Approach to Differential Geometry using Clifford's Geometric Algebra by John Snygg