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Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)
Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)

Teaching Einstein’s general relativity at introductory level poses problems because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry. Most elementary books take the easy course of telling the students a few working rules stripping the mathematical details to a minimum...

The Complete Idiot's Guide to the Science of Everything
The Complete Idiot's Guide to the Science of Everything
Did you ever wonder how somebody ever figured out all the details of making a cellphone system work? What about those giant MRI machines that can take a picture of your insides without a single incision? Then there is the universe. We think we know at least something about how it started billions of years ago and where it’s going billions of...
Exploring Black Holes: Introduction to General Relativity
Exploring Black Holes: Introduction to General Relativity
A concise, direct examination of general relativity and black holes, Exploring Black Holes provides tools that motivate tools that motivate readers to become active participants in carrying out their own investigations about curved spacetime near earth and black holes. The authors use calculus and algebra to make general relativity...
Gravitation (Physics Series)
Gravitation (Physics Series)
This is a textbook on gravitation physics (Einstein's "general relativity" or "geometrodynamics"). It supplies two tracks through the subject. The first track is focused on the key physical ideas. It assumes, as mathematical prerequisite, only vector analysis and simple partial-differential equations. It is suitable for a...
Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity
Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity
This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors.

Newtonian velocity addition is the common vector...

Physics For Dummies (Math & Science)
Physics For Dummies (Math & Science)
Does just thinking about the laws of motion make your head spin? Does studying electricity short your circuits? Do the complexities of thermodynamics cool your enthusiasm?

Thanks to this book, you don’t have to be Einstein to understand physics. As you read about Newton’s Laws, Kepler’s Laws, Hooke’s Law, Ohm’s...

3+1 Formalism in General Relativity: Bases of Numerical Relativity (Lecture Notes in Physics, Vol. 846)
3+1 Formalism in General Relativity: Bases of Numerical Relativity (Lecture Notes in Physics, Vol. 846)

This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like...

Foundations of Modern Cosmology
Foundations of Modern Cosmology

Recent discoveries in astronomy, especially those made with data collected by satellites such as the Hubble Space Telescope and the Wilkinson Microwave Anisotropy Probe, have revolutionized the science of cosmology. These new observations offer the possibility that some long-standing mysteries in cosmology might be answered, including such...

Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
This book provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. Using many illustrations, exercises, and problems, the author demonstrates more elaborate concepts of topology and geometry,...
Introduction to General Relativity
Introduction to General Relativity
A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he...
An Introduction to Tensor Calculus, Relativity and Cosmology
An Introduction to Tensor Calculus, Relativity and Cosmology
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in...
Essentials of Mathematical Methods in Science and Engineering
Essentials of Mathematical Methods in Science and Engineering

A complete introduction to the multidisciplinary applications of mathematical methods

In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical...

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