An Introduction to Optimization on Smooth 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 An Introduction to Optimization on Smooth Manifolds write by Nicolas Boumal. This book was released on 2023-03-16. An Introduction to Optimization on Smooth Manifolds available in PDF, EPUB and Kindle. Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dynamical systems and scientific computing. This text introduces the differential geometry and Riemannian geometry concepts that will help students and researchers in applied mathematics, computer science and engineering gain a firm mathematical grounding to use these tools confidently in their research. Its charts-last approach will prove more intuitive from an optimizer's viewpoint, and all definitions and theorems are motivated to build time-tested optimization algorithms. Starting from first principles, the text goes on to cover current research on topics including worst-case complexity and geodesic convexity. Readers will appreciate the tricks of the trade for conducting research and for numerical implementations sprinkled throughout the book.
An Introduction to Optimization on Smooth Manifolds
An Introduction to Optimization on Smooth 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 An Introduction to Optimization on Smooth Manifolds write by Nicolas Boumal. This book was released on 2023-03-16. An Introduction to Optimization on Smooth Manifolds available in PDF, EPUB and Kindle. An invitation to optimization with Riemannian geometry for applied mathematics, computer science and engineering students and researchers.
Introduction to Smooth Manifolds
Introduction to Smooth 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 Introduction to Smooth Manifolds write by John Lee. This book was released on 2012-08-27. Introduction to Smooth Manifolds available in PDF, EPUB and Kindle. This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
Introduction to Smooth Manifolds
Introduction to Smooth 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 Introduction to Smooth Manifolds write by John M. Lee. This book was released on 2013-03-09. Introduction to Smooth Manifolds available in PDF, EPUB and Kindle. Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
An Introduction to Smooth Manifolds
An Introduction to Smooth 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 An Introduction to Smooth Manifolds write by Manjusha Majumdar. This book was released on 2023-06-01. An Introduction to Smooth Manifolds available in PDF, EPUB and Kindle. Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the general understanding of topics. The book also contains hints to difficult exercises. Answers to all exercises are given at the end of each section. It also provides proofs of all theorems in a lucid manner. The only pre-requisites are good working knowledge of point-set topology and linear algebra.
