Analy Hyperbol Geometry..(2nd Ed)
Hardcover
Series: 0, Book 0
ISBN13: 9789811244100
Publisher: World Scientific Publishing Company
Published: Mar 7 2022
Pages: 776
Weight: 2.64
Height: 1.63 Width: 6.00 Depth: 9.00
Language: English
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.
Also from
Ungar Abraham Albert
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Expolog
Warren, Peggy
Wright, Susan
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Golé, Christophe
Dumais, Jacques
Douady, Stéphane
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
Quasi-Projective and Formal-Analytic Arithmetic Surfaces
Bost, Jean-Benoît
Charles, François
Hardcover
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Horvath, Joan
Cameron, Rich
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Kuang, Amber
Ma, Allen
Paperback
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Coloring Books for Adults
Adult Colouring Books
Adult Coloring Books
Paperback
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
Kiselev's Geometry - Book I, Planimetry: The Classic Russian Mathematics Textbook
Kiselev, Andrey
Paperback
