Nicola Vittorio – författare

This textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.

Features　

• Provides a self-contained introduction to General Relativity and to its standar applications.

• Presents readers with all the tools necessary for further learning and research in the field.

• Accessible to readers with just foundational knowledge of linear algebra and Lagrangian mechanics.

This textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.

Features　

• Provides a self-contained introduction to General Relativity and to its standar applications.

• Presents readers with all the tools necessary for further learning and research in the field.

• Accessible to readers with just foundational knowledge of linear algebra and Lagrangian mechanics.

This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. In the first case, the reader is guided in setting up the appropriate solutions. In the second case, the reader is provided with very illustrative notebooks to carry out the steps necessary to solve a General Relativity problem. These include the calculation of the Christoffel symbols, Riemann, Ricci, Einstein and energy-momentum tensors, as well as the resolution of the field equations of General Relativity in different astrophysical/cosmological contexts, with and without the introduction of a cosmological constant. This study guide should be used alongside existing textbooks to provide additional learning and engagement opportunities for advanced undergraduate and graduate students in physics and astrophysics taking courses on general relativity. It may also be of interest to mathematics students interested in celestial mechanics and space sciences.

A number of the Mathematica codes used in this book can be accessed online here; [INSERT URL WHEN AVAILABLE]

Key Features:

• Promotes the "learning by doing" approach, guiding the student in the building of the mathematical apparatus necessary to solve problems in General Relativity.

• Encourages the development of analytical skills to address and solve specific and challenging problems in General Relativity.

• Develops symbolic-numerical skills to address problems (often already solved analytically) so that the reader is prepared to attack even more elaborate calculations in General Relativity.

This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. In the first case, the reader is guided in setting up the appropriate solutions. In the second case, the reader is provided with very illustrative notebooks to carry out the steps necessary to solve a General Relativity problem. These include the calculation of the Christoffel symbols, Riemann, Ricci, Einstein and energy-momentum tensors, as well as the resolution of the field equations of General Relativity in different astrophysical/cosmological contexts, with and without the introduction of a cosmological constant. This study guide should be used alongside existing textbooks to provide additional learning and engagement opportunities for advanced undergraduate and graduate students in physics and astrophysics taking courses on general relativity. It may also be of interest to mathematics students interested in celestial mechanics and space sciences.

A number of the Mathematica codes used in this book can be accessed online here; [INSERT URL WHEN AVAILABLE]

Key Features:

• Promotes the "learning by doing" approach, guiding the student in the building of the mathematical apparatus necessary to solve problems in General Relativity.

• Encourages the development of analytical skills to address and solve specific and challenging problems in General Relativity.

• Develops symbolic-numerical skills to address problems (often already solved analytically) so that the reader is prepared to attack even more elaborate calculations in General Relativity.

Modern cosmology has changed significantly over the years, from the discovery to the precision measurement era. The data now available provide a wealth of information, mostly consistent with a model where dark matter and dark energy are in a rough proportion of 3:7. The time is right for a fresh new textbook which captures the state-of-the art in cosmology.

Written by one of the world''s leading cosmologists, this brand new, thoroughly class-tested textbook provides graduate and undergraduate students with coverage of the very latest developments and experimental results in the field. Prof. Nicola Vittorio shows what is meant by precision cosmology, from both theoretical and observational perspectives.

This book is divided into three main parts:

Part II introduces density fluctuations and their statistical description, discussing different theoretical scenarios, such as □□CDM, as well as observations

Carefully adapted from the course taught by Prof. Vittorio at the University of Rome Tor Vergata, this book will be an ideal companion for advanced students undertaking a course in cosmology.

Features: