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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...

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...
The Character of Physical Law (Messenger Lectures, 1964)
The Character of Physical Law (Messenger Lectures, 1964)

In these Messenger Lectures, originally delivered at Cornell University and recorded for television by the BBC, Richard Feynman offers an overview of selected physical laws and gathers their common features into one broad principle of invariance. He maintains at the outset that the importance of a physical law is not "how clever...

Exploring Monte Carlo Methods
Exploring Monte Carlo Methods

Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "Monte Carlo." The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear...

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...

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...

Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever

Mathematical disputes offer indisputable proof that great mathematical minds are calculating in more ways than one. Fueled by greed, jealousy, ambition, and ego, they have plots worthy of a soap opera, pitting brother against brother, father against son, and student against mentor.

In the sixteenth century, Cardano and Tartaglia battled...

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...
Fundamentals of Quantum Physics: Textbook for Students of Science and Engineering (Undergraduate Lecture Notes in Physics)
Fundamentals of Quantum Physics: Textbook for Students of Science and Engineering (Undergraduate Lecture Notes in Physics)

This book presents a comprehensive course of quantum mechanics for undergraduate and graduate students. After a brief outline of the innovative ideas that lead up to the quantum theory, the book reviews properties of the Schrödinger equation, the quantization phenomena and the physical meaning of wave functions. The book discusses, in a...

The Nothing That Is: A Natural History of Zero
The Nothing That Is: A Natural History of Zero
A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics...
Calculus For Dummies
Calculus For Dummies

The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein.

Well, the good news is that you...

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