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Lie Groups, Lie Algebras, and Representations
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for th...
Journey to the Moon
evolution of the Apollo Guidance Computer, Mr. Hall contends that the development of the Apollo computer supported and motivated the semiconductor industry during a time when integrated circuits were just emerging. This was the period just before the electronics revolution that gave birth to modern computers. In addition, the book recalls the history of computer technology, both hardware and software, and the applications of digital computing to missile guidance systems and manned spacecraft. The book also offers graphics and photos drawn from the Draper Laboratories archives that illustrate the technology and related events during the Apollo project. Written for experts as well as lay persons, Journey to the Moon is the first book of its kind and a must for anyone interested in the history of science and the relevance of computer technology to space exploration.
Quantum Theory for Mathematicians
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
I Served
Unceremoniously dumped in the orphanage by their drunken, war-traumatized father, Don and his brother Mike learn the harsh realities of life. We can feel the fear of the tormented child and smell the antiseptic dormitory. Not all is bad there, for it is during this time that the young Donald sees his true love, Annette, for the first time. Her brunette hair, twinkling eyes and heart-melting smile are what help sustain the warrior's sanity and focus during some of his darkest moments, which are yet to come. Don was a 'malcontent renegade' in the eyes of the nuns, because he fought for his dignity and that of his brother. Recalcitrant, yet gregarious, Don is dismissed from the orphanage with h...
Lie Groups, Lie Algebras, and Representations
This book provides an introduction to Lie groups, Lie algebras, and repre sentation theory, aimed at graduate students in mathematics and physics. Although there are already several excellent books that cover many of the same topics, this book has two distinctive features that I hope will make it a useful addition to the literature. First, it treats Lie groups (not just Lie alge bras) in a way that minimizes the amount of manifold theory needed. Thus, I neither assume a prior course on differentiable manifolds nor provide a con densed such course in the beginning chapters. Second, this book provides a gentle introduction to the machinery of semi simple groups and Lie algebras by treating the...
Skin Infections
also discussed in detail." --Book Jacket.
God Bless You and Good Night
God Bless You and Good Night is a bedtime story every little one will love. The delightful rhyming story takes children through several scenes of snuggly animals who are getting ready for bed. Get your children ready for sleep as they follow along and learn their nighttime routine. God Bless You and Good Night has impacted over 500,000 parents and children, highlighting fun bedtime rituals that shares God's blessing and love. God Bless You and Good Night is great for children, ages 4 to 8, and for baby showers, birthdays, baptisms, and holiday gifting. It features adorable animal illustrations and sweet and sometimes silly rhyming text. Check out other titles in the A God Bless Book series: God Bless Our Bedtime Prayers God Bless My Family God Bless Our Baby God Bless My Friends God Bless My Boo Boo
The Lost Dinosaurs of Egypt
The date is January 11, 1911. A young German paleontologist, accompanied only by a guide, a cook, four camels, and a couple of camel drivers, reaches the lip of the vast Bahariya Depression after a long trek across the bleak plateau of the western desert of Egypt. The scientist, Ernst Freiherr Stromer von Reichenbach, hopes to find fossil evidence of early mammals. In this, he will be disappointed, for the rocks here will prove to be much older than he thinks. They are nearly a hundred million years old. Stromer is about to learn that he has walked into the age of the dinosaurs. At the bottom of the Bahariya Depression, Stromer will find the remains of four immense and entirely new dinosaurs...
Roster of the Confederate Soldiers of Georgia Vol. 13
This book contains the compiled service records of Confederate soldiers who served in the following Georgia units: 57th Infantry Regiment 59th Infantry Regiment 60th Infantry Regiment 61st Infantry Regiment 62nd Infantry Regimen
