Description
Nova Science Introduction to Geometry & Relativity 2013 Edition by David C Mello
This book provides a lucid introduction to both modern differential geometry and relativity for advanced undergraduates and first-year graduate students of applied mathematics and physical sciences. This book meets an overwhelming need for a book on modern differential geometry and relativity that is student-friendly, and which is also suitable for self-study. The book presumes a minimal level of mathematical maturity so that any student who has completed the standard Calculus sequence should be able to read and understand the book. The key features of the book are: Detailed solutions are provided to the Exercises in each chapter; Many of the missing steps' that are often omitted from standard mathematical derivations have been provided to make the book easier to read and understand; A detailed introduction to Electrodynamics is provided so that the book is accessible to students who have not had a formal course in this area; In its treatment of modern differential geometry, the book employs both a modern, co-ordinate-free approach, and the standard co-ordinate-based approach. This makes the book attractive to a large audience of readers. Also, the book is particularly attractive to professional non-specialists who would like an easy to read introduction to the subject. Table of contents :- Preface; Introduction to Newtonian Spacetime; The Structure of Newtonian Spacetime; Maxwell's Equations; Introduction to Special Relativity; Introduction to Differential Geometry; Tensor Calculus; Introduction to Minkowski Space; Maxwell's Equations in Minkowski Space; Relativistic Hydrodynamics; Foundations of General Relativity; Predictions of General Relativity; Notes; References; Index.