 # Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces

CreateSpace Independent Publishing Platform #ad - It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.

This book is about differential geometry of space curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts.

# Principles of Tensor Calculus: Tensor Calculus

CreateSpace Independent Publishing Platform #ad - The book also contains a number of graphic illustrations to help the readers to visualize the ideas and understand the subtle concepts. To facilitate linking related concepts and sections, cross referencing is used extensively throughout the book. The book can be used as a text for an introductory or an intermediate level course on tensor calculus.

The book is furnished with an index as well as detailed sets of exercises to provide useful revision and practice. This book is based on my previous book: Tensor Calculus Made Simple, where the development of tensor calculus concepts and techniques are continued at a higher level. Unlike the previous book which is largely based on a Cartesian approach, the formulation in the present book is based on a general coordinate system.

CreateSpace Independent Publishing Platform #ad - It consists of 169 pages. The detailed solutions of all these exercises are available in another book by the author Solutions of Exercises of Tensor Calculus Made Simple. This book is about tensor analysis. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning.

. The book contains many exercises.

# Solutions of Exercises of Tensor Calculus Made Simple

CreateSpace Independent Publishing Platform #ad - This book contains the detailed solutions of all the exercises of my book: Tensor Calculus Made Simple. The solutions are generally very detailed and hence they are supposed to provide some sort of revision for the subject topic.

# Solutions of Exercises of Introduction to Differential Geometry of Space Curves and Surfaces

Independently published #ad - These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory level. This book contains the solutions of the exercises of my book: Introduction to Differential Geometry of Space Curves and Surfaces.

# Solutions of Exercises of Principles of Tensor Calculus

Independently published #ad - This book contains the solutions of all the exercises of my book: Principles of Tensor Calculus. These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory levels.

# The Mechanics of Lorentz Transformations

CreateSpace Independent Publishing Platform #ad - The motive for setting the subject of investigation as Lorentz transformations instead of special relativity is objectivity. However, we also investigate special relativity thoroughly as a possible interpretation of the mechanics of Lorentz transformations. The subject of this book is the mechanics of Lorentz transformations which is commonly investigated under the title of special relativity theory.

The book originates from a collection of personal notes and tutorials about topics and applications related to modern physics and tensor calculus. Cross referencing is used extensively where these cross references are hyperlinked in the digital versions. The book can be used as a guiding text or as a reference for a first course on the mechanics of Lorentz transformations or as part of a course on modern physics or tensor calculus or even special relativity.

The Mechanics of Lorentz Transformations #ad - The book includes many solved problems as well as extensive sets of exercises whose solutions are available in another book. The book also contains a number of high quality graphic illustrations. A rather thorough index is also added to the book to enable keyword search and provide a useful list for the main technical terms of this subject.

# TENSORS made easy with SOLVED PROBLEMS

lulu.com #ad - New september 2019 revised release -- a friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires a minimum of mathematical background differential calculus, partial derivatives included.

# Solutions of Exercises of The Mechanics of Lorentz Transformations

CreateSpace Independent Publishing Platform #ad - The solutions are generally very detailed and hence they are supposed to provide some sort of revision for the subject topic. This book contains the detailed solutions of all the exercises of my book: The Mechanics of Lorentz Transformations.

# Gravitation

Princeton University Press #ad - Upon publication, science called it “a pedagogic masterpiece, ” and it has since become a classic, considered essential reading for every serious student and researcher in the field of relativity. Material focusing on basic physical ideas is designated as Track 1 and formulates an appropriate one-semester graduate-level course.

The remaining track 2 material provides a wealth of advanced topics instructors can draw on for a two-semester course, with Track 1 sections serving as prerequisites. This must-have reference for students and scholars of relativity includes a new preface by David Kaiser, reflecting on the history of the book’s publication and reception, and a new introduction by Charles Misner and Kip Thorne, discussing exciting developments in the field since the book’s original publication.

Gravitation #ad - The book teaches students to:grasp the laws of physics in flat and curved spacetimePredict orders of magnitudeCalculate using the principal tools of modern geometryUnderstand Einstein's geometric framework for physicsExplore applications, including neutron stars, gravitational collapse, cosmology, Schwarzschild and Kerr black holes, gravitational waves, and so much more .

This authoritative text has shaped the research of generations of physicists and astronomers, and the book continues to influence the way experts think about the subject. With an emphasis on geometric interpretation, this masterful and comprehensive book introduces the theory of relativity; describes physical applications, from stars to black holes and gravitational waves; and portrays the field’s frontiers.

The book also offers a unique, alternating, two-track pathway through the subject. First published in 1973, gravitation is a landmark graduate-level textbook that presents Einstein’s general theory of relativity and offers a rigorous, full-year course on the physics of gravitation.

# Introduction To General Relativity And Cosmology Essential Textbooks in Physics

WSPC (EUROPE) #ad - Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field. Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry.

This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. This is followed by a discussion of the Einstein field equations and their various properties.

Introduction To General Relativity And Cosmology Essential Textbooks in Physics #ad - Introduction to general relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning.