Analytic Hyperbolic Geometry And Albert Einsteins Special Theory Of Relativity

Download Analytic Hyperbolic Geometry And Albert Einsteins Special Theory Of Relativity full books in PDF, epub, and Kindle. Read online Analytic Hyperbolic Geometry And Albert Einsteins Special Theory Of Relativity ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition)

Author : Abraham Albert Ungar
Publisher : World Scientific
ISBN 13 : 981124412X
Total Pages : 775 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition) by : Abraham Albert Ungar

Download or read book Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition) written by Abraham Albert Ungar and published by World Scientific. This book was released on 2022-02-22 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The premise of analogy as a study strategy is to make the unfamiliar familiar. Accordingly, this book introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Gyrovectors turn out to be equivalence classes that add according to the gyroparallelogram law just as vectors are equivalence classes that add according to the parallelogram law. In the gyrolanguage of this book, accordingly, one prefixes a gyro to a classical term to mean the analogous term in hyperbolic geometry. As an example, the relativistic gyrotrigonometry of Einstein's special relativity is developed and employed to the study of the stellar aberration phenomenon in astronomy.Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. It turns out that the invariant mass of the relativistic center of mass of an expanding system (like galaxies) exceeds the sum of the masses of its constituent particles. This excess of mass suggests a viable mechanism for the formation of dark matter in the universe, which has not been detected but is needed to gravitationally 'glue' each galaxy in the universe. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying hyperbolic geometry.

Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition)

Author : Abraham Albert Ungar
Publisher :
ISBN 13 : 9789811244117
Total Pages : 775 pages
Book Rating : 4.2/5 (441 download)

DOWNLOAD NOW!

Book Synopsis Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition) by : Abraham Albert Ungar

Download or read book Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition) written by Abraham Albert Ungar and published by . This book was released on 2022 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Hyperbolic Geometry

Author : Abraham A. Ungar
Publisher : World Scientific
ISBN 13 : 9812703276
Total Pages : 484 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!

Book Synopsis Analytic Hyperbolic Geometry by : Abraham A. Ungar

Download or read book Analytic Hyperbolic Geometry written by Abraham A. Ungar and published by World Scientific. This book was released on 2005 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. In the resulting "gyrolanguage" of the book, one attaches the prefix "gyro" to a classical term to mean the analogous term in hyperbolic geometry. The book begins with the definition of gyrogroups, which is fully analogous to the definition of groups. Gyrogroups, both gyrocommutative and nongyrocommutative, abound in group theory. Surprisingly, the seemingly structureless Einstein velocity addition of special relativity turns out to be a gyrocommutative gyrogroup operation. Introducing scalar multiplication, some gyrocommutative gyrogroups of gyrovectors become gyrovector spaces. The latter, in turn, form the setting for analytic hyperbolic geometry just as vector spaces form the setting for analytic Euclidean geometry. By hybrid techniques of differential geometry and gyrovector spaces, it is shown that Einstein (Mobius) gyrovector spaces form the setting for Beltrami-Klein (Poincare) ball models of hyperbolic geometry. Finally, novel applications of Mobius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity, are presented.

A Gyrovector Space Approach to Hyperbolic Geometry

Author : Abraham A. Ungar
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598298224
Total Pages : 195 pages
Book Rating : 4.5/5 (982 download)

DOWNLOAD NOW!

Book Synopsis A Gyrovector Space Approach to Hyperbolic Geometry by : Abraham A. Ungar

Download or read book A Gyrovector Space Approach to Hyperbolic Geometry written by Abraham A. Ungar and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

A Gyrovector Space Approach to Hyperbolic Geometry

Author : Abraham Ungar
Publisher : Springer Nature
ISBN 13 : 303102396X
Total Pages : 182 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis A Gyrovector Space Approach to Hyperbolic Geometry by : Abraham Ungar

Download or read book A Gyrovector Space Approach to Hyperbolic Geometry written by Abraham Ungar and published by Springer Nature. This book was released on 2022-06-01 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

The Geometry of Special Relativity

Author : Tevian Dray
Publisher : CRC Press
ISBN 13 : 1315160706
Total Pages : 197 pages
Book Rating : 4.3/5 (151 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Special Relativity by : Tevian Dray

Download or read book The Geometry of Special Relativity written by Tevian Dray and published by CRC Press. This book was released on 2021-06-10 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book presents a particularly beautiful way of looking at special relativity. The author encourages students to see beyond the formulas to the deeper structure. The unification of space and time introduced by Einstein’s special theory of relativity is one of the cornerstones of the modern scientific description of the universe. Yet the unification is counterintuitive because we perceive time very differently from space. Even in relativity, time is not just another dimension, it is one with different properties The book treats the geometry of hyperbolas as the key to understanding special relativity. The author simplifies the formulas and emphasizes their geometric content. Many important relations, including the famous relativistic addition formula for velocities, then follow directly from the appropriate (hyperbolic) trigonometric addition formulas. Prior mastery of (ordinary) trigonometry is sufficient for most of the material presented, although occasional use is made of elementary differential calculus, and the chapter on electromagnetism assumes some more advanced knowledge. Changes to the Second Edition The treatment of Minkowski space and spacetime diagrams has been expanded. Several new topics have been added, including a geometric derivation of Lorentz transformations, a discussion of three-dimensional spacetime diagrams, and a brief geometric description of "area" and how it can be used to measure time and distance. Minor notational changes were made to avoid conflict with existing usage in the literature. Table of Contents Preface 1. Introduction. 2. The Physics of Special Relativity. 3. Circle Geometry. 4. Hyperbola Geometry. 5. The Geometry of Special Relativity. 6. Applications. 7. Problems III. 8. Paradoxes. 9. Relativistic Mechanics. 10. Problems II. 11. Relativistic Electromagnetism. 12. Problems III. 13. Beyond Special Relativity. 14. Three-Dimensional Spacetime Diagrams. 15. Minkowski Area via Light Boxes. 16. Hyperbolic Geometry. 17. Calculus. Bibliography. Author Biography Tevian Dray is a Professor of Mathematics at Oregon State University. His research lies at the interface between mathematics and physics, involving differential geometry and general relativity, as well as nonassociative algebra and particle physics; he also studies student understanding of "middle-division" mathematics and physics content. Educated at MIT and Berkeley, he held postdoctoral positions in both mathematics and physics in several countries prior to coming to OSU in 1988. Professor Dray is a Fellow of the American Physical Society for his work in relativity, and an award-winning teacher.

Easy Lessons in Einstein

Author : Edwin Emery Slosson
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.A/5 ( download)

DOWNLOAD NOW!

Book Synopsis Easy Lessons in Einstein by : Edwin Emery Slosson

Download or read book Easy Lessons in Einstein written by Edwin Emery Slosson and published by . This book was released on 1920 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relativity

Author : Albert Einstein
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 ( download)

DOWNLOAD NOW!

Book Synopsis Relativity by : Albert Einstein

Download or read book Relativity written by Albert Einstein and published by . This book was released on 1920 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

J.D. Ponce on Albert Einstein: An Academic Analysis of The Special and General Theory of Relativity

Author : J.D. Ponce
Publisher : J.D. Ponce
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.2/5 (23 download)

DOWNLOAD NOW!

Book Synopsis J.D. Ponce on Albert Einstein: An Academic Analysis of The Special and General Theory of Relativity by : J.D. Ponce

Download or read book J.D. Ponce on Albert Einstein: An Academic Analysis of The Special and General Theory of Relativity written by J.D. Ponce and published by J.D. Ponce. This book was released on 2024-09-24 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exciting essay focuses on the explanation and analysis of Albert Einstein's The Special and General Theory of Relativity, one the most influential works in history and whose understanding, due to its complexity and depth, escapes comprehension on a first reading. Whether you have already read The Special and General Theory of Relativity or not, this essay will allow you to immerse yourself in each and every one of its meanings, opening a window to Einstein's scientific thought and his true intention when he created this immortal work.

Einstein's Theories of Relativity and Gravitation

Author : James Malcolm Bird
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (334 download)

DOWNLOAD NOW!

Book Synopsis Einstein's Theories of Relativity and Gravitation by : James Malcolm Bird

Download or read book Einstein's Theories of Relativity and Gravitation written by James Malcolm Bird and published by . This book was released on 1921 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of relativity confounded and excited both professional and amateur scientists with its explanation of the intricacies of how the world and the universe truly work, rather than how people wished or believed they worked. His view of relativity dismantled Newton's theory of space and time as absolutes, adding the concept of curved space-time, which deals with the velocity of motion. Einstein explains his theory of physics in a way that was designed not only for scientists with a knowledge of the complicated math involved but for the general reader as well.

Sidelights on Relativity

Author : Albert Einstein
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.A/5 ( download)

DOWNLOAD NOW!

Book Synopsis Sidelights on Relativity by : Albert Einstein

Download or read book Sidelights on Relativity written by Albert Einstein and published by . This book was released on 1922 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Einstein Theory of Relativity

Author : Lillian Rosanoff Lieber
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis The Einstein Theory of Relativity by : Lillian Rosanoff Lieber

Download or read book The Einstein Theory of Relativity written by Lillian Rosanoff Lieber and published by . This book was released on 1961 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relativity

Author : Albert Einstein
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.A/5 ( download)

DOWNLOAD NOW!

Book Synopsis Relativity by : Albert Einstein

Download or read book Relativity written by Albert Einstein and published by . This book was released on 1920 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this famous short book Einstein explains clearly, using the minimum amount of mathematical terms, the basic ideas and principles of the theory which has shaped the world we live in today [Special and General Relativity} -- google books

Einstein's Relativity: The Special Theory and The General Theory - Chapter 1

Author : Albert Einstein
Publisher : Nutty Physics
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis Einstein's Relativity: The Special Theory and The General Theory - Chapter 1 by : Albert Einstein

Download or read book Einstein's Relativity: The Special Theory and The General Theory - Chapter 1 written by Albert Einstein and published by Nutty Physics. This book was released on 2024-10-01 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's Relativity - The Best Introduction to the Theory of Relativity! - Chapter 1: Geometry and Physics - Written by Einstein himself for the popular audience! - A completely new and modern translation, 2024! Note: This short booklet includes only the first chapter of the book. This book was originally written in German, by Einstein, in 1916, and it was first published in 1917 in Germany. After WWI, thanks to the growing recognition of the work of Einstein, and of Einstein himself, it was finally translated into English in 1920. It became instant bestsellers in multiple languages. After over 100 years, for anyone who wants to learn relativity, at a conceptual level, this book still remains the best introduction to the theory of relativity. Unfortunately, for the English-speaking readers, the original translation was somewhat archaic, and it made Einstein's original intent unnecessarily harder to understand. If you ever tried to read this book, and you were disappointed due to the opaque language, then this new edition is for you. If you ever wanted to learn relativity as a non-physicist, and couldn't find a good introductory book, then this book is for you. You will learn relativity in a completely new way, as if Einstein himself is talking to you. It is still not an easy book to read. Relativity is not an easy subject. There are even some "equations" in the book, unlike the vast majority of the "popular science books". To make the book more accessible, to a wider audience, we are publishing a series of single chapter edition booklets, with all new English translation (2024). We hope that some readers will find these short novela-style booklets easier to digest than more traditional single book formats. You will also realize that a good translation makes a huge difference. Compare this new translation with the public-domain books of the original English translation, which is now over 100 years old.

Relativity

Author : Albert Einstein
Publisher : Courier Corporation
ISBN 13 : 9780486417141
Total Pages : 196 pages
Book Rating : 4.4/5 (171 download)

DOWNLOAD NOW!

Book Synopsis Relativity by : Albert Einstein

Download or read book Relativity written by Albert Einstein and published by Courier Corporation. This book was released on 2001-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the great physicist's own explanation of both the special and general theories of relativity. Written for readers interested in the theory but not conversant with the mathematical apparatus of theoretical physics, it presents the ideas in their simplest, most intelligible form.

Relativity, the Special and the General Theory

Author : Albert Einstein
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.X/5 ( download)

DOWNLOAD NOW!

Book Synopsis Relativity, the Special and the General Theory by : Albert Einstein

Download or read book Relativity, the Special and the General Theory written by Albert Einstein and published by . This book was released on 1961 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Special and General Theory by Albert Einstein (International Bestseller)

Author : Albert Einstein
Publisher : Namaskar Books
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis The Special and General Theory by Albert Einstein (International Bestseller) by : Albert Einstein

Download or read book The Special and General Theory by Albert Einstein (International Bestseller) written by Albert Einstein and published by Namaskar Books. This book was released on 101-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Special and General Theory by Albert Einstein: Discover the revolutionary ideas of Albert Einstein in ""The Special and General Theory."" This international bestseller presents Einstein's groundbreaking theories of special and general relativity, which fundamentally changed our understanding of space, time, and gravity. With its clear and accessible prose, this book is an essential resource for students, scientists, and anyone seeking to deepen their knowledge of the physical world. Why This Book? Albert Einstein's ""The Special and General Theory"" is a landmark work that transformed our understanding of the universe. This book presents Einstein's groundbreaking theories of special and general relativity, making it an invaluable resource for anyone seeking to explore the mysteries of the cosmos. Albert Einstein, a German-born physicist and Nobel laureate, is widely regarded as one of the most influential scientists of the 20th century. His groundbreaking work on relativity and the theory of general relativity transformed our understanding of the universe and paved the way for many of the scientific discoveries of the modern era.