The Embedded Lie
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The Embedded Lie
Author: Peter Dickson
language: en
Publisher: BookLocker.com, Inc.
Release Date: 2024-11-28
Eight childhood mates—connected through golf, friendship, and deep-seated lies—face their betrayals. In small towns, there is always that group. The privileged kids—the ones who appear to have it all. But beneath the deep bond between the ‘Master’s Eight’ lies deceit. On a beautiful Australian seaside, the Master’s Eight gather once yearly for a round of golf. When a film production company gets wind of their tradition, cameras roll to create a documentary. Little did the filmmakers know the explosive and devastating secrets this production would reveal. Through dark humour, the sins of parents and their influence on family dynamics bubble on and off the course. Delving into a world of children becoming adults, the Master’s Eight must face emotional growth and, ultimately, enduring friendships despite the trauma buried for decades. In Peter Dickson’s debut fiction novel, find intoxicating mystery, wit, unforgettable characters, and a childhood alliance within the pages of The Embedded Lie, as you laugh until you cry.
Mathematical Gauge Theory
The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.
Introduction to Smooth Manifolds
Author: John Lee
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-08-27
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 fewnew 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.