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Einstein's General Theory of Relativity - With Modern Applications in Cosmology (Hardcover, 2007 ed.): Oyvind Gron,... Einstein's General Theory of Relativity - With Modern Applications in Cosmology (Hardcover, 2007 ed.)
Oyvind Gron, Sigbjorn Hervik
R3,937 Discovery Miles 39 370 Ships in 10 - 15 working days

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

Lecture Notes on the General Theory of Relativity - From Newton's Attractive Gravity to the Repulsive Gravity of Vacuum... Lecture Notes on the General Theory of Relativity - From Newton's Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Hardcover, 2009 ed.)
Oyvind Gron
R2,027 Discovery Miles 20 270 Ships in 12 - 19 working days

These notes are a transcript of lectures delivered by Oyvind Gron during the spring of 1997 at the University of Oslo. The present version of this document is an extended and corrected version of a set of Lecture Notes which were typesetted by S. Bard, Andreas O. Jaunsen, A Frode Hansen and Ragnvald J. Irgens using LT X2 . Svend E. Hjelmeland has made E many useful suggestions which have improved the text. I would also like to thank Jon Magne Leinaas and Sigbjorn Hervik for contributing with problems, and Gorm Krogh Johnsen for help with nishing the manuscript. I also want to thank prof. Finn Ravndal for inspiring lectures on general relativity. While we hope that these typeset notes are of bene t particularly to students of general relativity and look forward to their comments, we welcome all interested readers and accept all feedback with thanks. All comment may be sent to the author by e-mail."

Einstein's Theory - A Rigorous Introduction for the Mathematically Untrained (Hardcover, Edition.): Oyvind Gron, Arne Naess Einstein's Theory - A Rigorous Introduction for the Mathematically Untrained (Hardcover, Edition.)
Oyvind Gron, Arne Naess
R2,365 Discovery Miles 23 650 Ships in 12 - 19 working days

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity.
First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory.
The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.

Einstein's Theory - A Rigorous Introduction for the Mathematically Untrained (Paperback, 2011 ed.): Oyvind Gron, Arne Naess Einstein's Theory - A Rigorous Introduction for the Mathematically Untrained (Paperback, 2011 ed.)
Oyvind Gron, Arne Naess
R2,647 Discovery Miles 26 470 Ships in 10 - 15 working days

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.

Introduction to Einstein's Theory of Relativity - From Newton's Attractive Gravity to the Repulsive Gravity of Vacuum... Introduction to Einstein's Theory of Relativity - From Newton's Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Paperback, 2nd ed. 2020)
Oyvind Gron
R1,734 Discovery Miles 17 340 Ships in 9 - 17 working days

The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms.Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the 'gravitational field' in Einstein's theory, and some new material concerning the 'twin paradox' in the theory of relativity. Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations. Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.

Einstein's General Theory of Relativity - With Modern Applications in Cosmology (Paperback, Softcover reprint of hardcover... Einstein's General Theory of Relativity - With Modern Applications in Cosmology (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Oyvind Gron, Sigbjorn Hervik
R2,459 Discovery Miles 24 590 Ships in 10 - 15 working days

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

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