Differential Manifolds and Theoretical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Manifolds and Theoretical Physics write by . This book was released on 1985-05-24. Differential Manifolds and Theoretical Physics available in PDF, EPUB and Kindle. Differential Manifolds and Theoretical Physics
Differentiable Manifolds
Differentiable Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differentiable Manifolds write by Gerardo F. Torres del Castillo. This book was released on 2020-06-23. Differentiable Manifolds available in PDF, EPUB and Kindle. This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.
Differentiable Manifolds
Differentiable Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differentiable Manifolds write by Gerardo F. Torres del Castillo. This book was released on 2011-10-09. Differentiable Manifolds available in PDF, EPUB and Kindle. This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.
Differential Geometry and Mathematical Physics
Differential Geometry and Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry and Mathematical Physics write by Gerd Rudolph. This book was released on 2012-11-09. Differential Geometry and Mathematical Physics available in PDF, EPUB and Kindle. Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
Differential Geometry For Physicists
Differential Geometry For Physicists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry For Physicists write by Bo-yu Hou. This book was released on 1997-10-31. Differential Geometry For Physicists available in PDF, EPUB and Kindle. This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.
