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Introduction to Smooth Manifolds
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
Riemannian Manifolds
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Introduction to Topological Manifolds
Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.
Introduction to Riemannian Manifolds
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Axiomatic Geometry
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach ...
Introduction to Smooth Manifolds
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 secon...
Growing Yourself Back Up
Someone pushes your buttons. You feel rage, fear, sweaty palms, unbidden tears—you feel like a kid. We've all experienced moments when we lose control of a situation and ourselves. Now, in Growing Yourself Back Up, the first book to explain the idea of emotional regression to the general reader, bestselling author John Lee identifies the circumstances that cause these seemingly uncontrollable feelings and shows how they are directly tied to our experience as children. No adult, explains Lee, need ever experience the helpless feelings of childhood again. Here are his proven methods and visualization exercises, developed in his popular workshops, for recognizing, preventing, and diffusing re...
Manifolds and Differential Geometry
Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along with associated notions such as length, volume, and curvature. At the same time the topic has become closely allied with developments in topology. The basic object is a smooth manifold, to which some extra structure has been attached, such as a Riemannian metric, a symplectic form, a distinguished group of symmetries, or a connection on the tangent bundle. This book is a graduate-level introduction to the tools and structures of modern differential geometry. Included are the topics usually found in a course on differentiable manifolds...
The Flying Boy
A record of one man's journey to find his "true masculinity" and his way out of co-dependent and addictive relationships. It's a book for all men and women who grew up in dysfunctional families and are now ready for some fresh insights into their past and their pain. It's a story about feelings - losing them, finding them and finally expressing them. Here you will find people you know; will discover a way out of the pain and see that it really is OK to express yourself without fear. The book is about grieving, a very misunderstood process often confused with self-pity. Open the doors to understanding - men will understand themselves and each other, and women will more deeply understand men, learn how to be with wounded men and still take care of themselves.
Business Hack
Master the online tools available to grow your business and conquer the competition Business Hack is your essential roadmap to business growth and online marketing success. Author and successful entrepreneur John Lee shares his proven methods to harness the power of online tools, including using social media—offering practical steps to create and implement highly effective cyber-marketing campaigns. Thanks to the digital revolution, you no longer need teams of marketing experts and other expensive overheads to build and promote your business. This unique and valuable resource covers everything you need to consider when building your marketing strategy, from established principles of sales ...
