[L194.Ebook] Fee Download Geometrical Methods of Mathematical Physics, by Bernard F. Schutz

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Geometrical Methods of Mathematical Physics, by Bernard F. Schutz

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In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

• Sales Rank: #423907 in Books
• Color: Other
• Brand: Brand: Cambridge University Press
• Published on: 1980-01-28
• Original language: English
• Number of items: 1
• Dimensions: 8.98" h x .59" w x 5.98" l, .90 pounds
• Binding: Paperback
• 264 pages

Features

• Used Book in Good Condition

Review
"...excellent. It would require a great deal of delving in the literature to produce equivalent treatments....a very useful introduction...." J. M. Stewart, Journal of Fluid Mechanics

"...Schutz has such a mastery of tthe material that it soon becomes clear that one is in authoritative hands....this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduates should be able to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance." Ray d'Inverno, Times Higher Education Supplement

About the Author
Bernard Schutz has done research and teaching in general relativity and especially its applications in astronomy since 1970. He is the author of more than 200 publications, including A First Course in General Relativity and Gravity from the Ground Up (both published by Cambridge University Press). Schutz currently specialises in gravitational wave research, studying the theory of potential sources and designing new methods for analysing the data from current and planned detectors. He is a member of most of the current large-scale gravitational wave projects: GEO600 (of which he is a PI), the LIGO Scientific Collaboration, and LISA. Schutz is a Director of the Max Planck Institute for Gravitational Physics, also known as the Albert Einstein Institute (AEI), in Potsdam, Germany. He holds a part-time chair in Physics and Astronomy at Cardiff University, Wales, as well as honorary professorships at Potsdam and Hanover universities in Germany. Educated in the USA, he taught physics and astronomy for twenty years at Cardiff before moving to Germany in 1995 to the newly-founded AEI. In 1998 he founded the open-access online journal Living Reviews in Relativity. The Living Reviews family now includes six journals. In 2006 he was awarded the Amaldi Gold Medal of the Italian Society for Gravitation (SIGRAV), and in 2011 he received an honorary DSc from the University of Glasgow. He is a Fellow of the American Physical Society and the Institute of Physics, an Honorary Fellow of the Royal Astronomical Society, and a member of the Learned Society of Wales, the German Academy of Natural Sciences Leopoldina and the Royal Society of Arts and Sciences, Uppsala.

Most helpful customer reviews

26 of 26 people found the following review helpful.
Terrific geometry book for physicists
By Dean Welch
Advanced mathematics, such as differential geometry and topology, plays an important role in many areas of physics. This excellent book covers one of these topics, differential geometry. This is a topic essential for understanding general relativity and gauge theory. There are several good books aimed at physicists that cover differential geometry. While some of these have a broader scope than this book, nevertheless this book is my favorite one for differential geometry.

The topics covered include those necessary for reading advanced treatments of general relativity (such as Wald or Misner/Thorne/Wheeler). These include manifolds, fiber bundles, tangent/cotangent bundles, forms, Lie derivatives, Killing vectors and Lie groups.

Following this basic material a chapter covering some applications to physics, one example is electromagnetism. Up to this point the consideration of manifolds had been fairly general. In the final chapter the implications of adding a connection, and then a metric, are considered.

Why do I think this book is so good? It's not the breadth of material covered, this book is very focused on a limited range of material. It's the quality of the presentation for what it does cover. The development follows a logical order, the writing is exceptionally clear and the diagrams are very useful since Schutz explains them so well.

0 of 0 people found the following review helpful.
Five Stars
By Marc K. Pestana
Excellent and clear discussion.

20 of 21 people found the following review helpful.
Great for self-study: concise, clear, intuitive; yes, even enjoyable!
By gengogakusha
The exposition in this book is concise, intuitive and, for the most part, quite lucid. It's really tops for getting the larger view, relating key mathematical concepts to applications in physics. As an autodidact, I've found it particularly productive to use this book in conjunction with a more detailed treatment of some particular topic, e.g. tensors, representation theory for groups and the relationship between that and Lie groups and algebras. I've also found it enlightening to supplement this book with the typically more detailed and superb expositions on some topic in Frankel's The Geometry of Physics: An Introduction, Second Edition and in Wasserman's apparently lesser known but phenomenal Tensors and Manifolds: With Applications to Physics. With some foundation/supplementation, the book can profitably be used to solidify and extend one's intuitive understanding of these mathematical topics and come to understand how they are of use in physics. One can also use the book to identify weakness in one's understanding and to determine what else one needs to study to make further progress. In addition, Schutz provides solutions or hints to the exercises. It's a comparatively quick read and overall, quite enjoyable. Highly recommended for self-study but see the caveats below.

Despite my high praise, I think that this book is best used as a supplement to more thorough treatments of the math covered (mainly, differential manifolds, forms, Lie derivatives, Lie groups). Other books I have used repeatedly and highly recommend include Tu's Introduction to Smooth Manifolds (Graduate Texts in Mathematics), Lee's An Introduction to Manifolds (Universitext) on manifolds; Stillwell's Naive Lie Theory (Undergraduate Texts in Mathematics), Tapp's Matrix Groups for Undergraduates (Student Mathematical Library,) and Hall's Lie Groups, Lie Algebras, and Representations: An Elementary Introduction on Lie groups, etc. and Weintraub's Differential Forms: Integration on Manifolds and Stokes's Theorem, Darling's Differential Forms and Connections and at a more advanced level, Morita's lucid and concise Geometry of Differential Forms (Translations of Mathematical Monographs, Vol. 201) on differential forms.

Schutz states that the aim of "this book is to teach mathematics, not physics". In general, I do not think one's math should be learned soley from physics books (having experienced the inadequate job done on mathematics in typical general relativity and quantum mechanics books). This book is no exception despite its exceptional lucidity. The claim that one only needs reasonable familiarity with "vector calculus, calculus of many variables, matrix algebra ... and a little operator theory ..." is overly optimistic. In some narrow sense, it might be true that this is all that is required to follow the basic logic of the mathematical development, but to really understand the text, I believe some background in differential geometry, forms and Lie groups -- preferably acquired from math books written by mathematicians -- is required.

As I said, despite the caveats immediately above, I found the book both illuminating and enjoyable to read. In fact, I return to it quite often to refresh my memory on various topics.

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[R975.Ebook] Download PDF A Manual Grammar of the Greek New Testament, by H. E. Dana, Julius R. Mantey

Download PDF A Manual Grammar of the Greek New Testament, by H. E. Dana, Julius R. Mantey

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A Manual Grammar of the Greek New Testament, by H. E. Dana, Julius R. Mantey

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Dana and Mantey's Manual Grammar is a standard intermediate-level Greek grammar, utilizing the eight-case system of Greek verb classification. For those who have had at least one year of beginning Greek.

• Sales Rank: #1558440 in Books
• Published on: 1957-05
• Number of items: 1
• Binding: Hardcover
• 368 pages

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0 of 0 people found the following review helpful.
Five Stars
By Fritz King
Outstanding and beyond excellent!!

5 of 6 people found the following review helpful.
A Truly Indispensable Handbook
By John Adams
This Greek grammar, which is most accurately described as a condensed form of Robertson's and Moulton's literature, is genius. By genius, of course, I mean there is no other book quite like it. A much more popular volume today is the more recent grammar by Daniel Wallace, but Dana and Mantey provide all the content at less than half the size. Admittedly, Wallace is good to have on the shelf, but this book is what I carry to class and actually use on a regular basis.

At the beginning of each section, this book provides references to the larger works by Robertson and Moulton. Although not necessary, it is very beneficial to read those references as directed, especially those in Robertson. This book is supposed to come with a chart of verb conjugations in the back, but if it is missing (as it was in mine), there is an identical chart in the back of Essentials of New Testament Greek by Ray Summers.

In my opinion, this grammar should be the standard for any student of the New Testament; it really is that good. It is regrettably hard to find; however, and along those lines also expensive. Give this grammar a chance, it will soon become your favorite.

5 of 7 people found the following review helpful.
A very helpful grammar
By Gary F. Zeolla
This is the textbook I used in studying intermediate Greek at Denver Seminary. And it is a very helpful volume. The purpose of this book is not to teach how to parse Greek words. That would be an introductory volume to Greek. What this volume does is to detail different usages of the varying Greek grammatical forms.

So, for instance, this volume outlines the various uses of the Greek present tense. The regular uses are the progressive present, the customary present, and the iterative present. The book then presents "special uses" of the present tense, namely, the aoristic present, the futuristic present, the historical present, and the tendential present.

The book explains in detail how each of these uses function. Such information is imperative to understand when translating the New Testament. In fact, I relied heavily on this volume when I was working on my Analytical-Literal Translation of the New Testament: Third Edition (ALT).

I followed many of this book's suggestions in my translation work, so the information in this book helped me to bring out finer details of the Greek text that are often missed in Bible translations. So, for instance, this book states, "A prohibition in the present imperative demands that action then in progress be stopped.... Thus a prohibition expressed with the present tense demands the cessation of some act that is already in progress" (pp. 301).

Utilizing this information, I consistently translated the prohibitive, present imperative using the form "Stop ..." (e.g., Matt 6:16, "And when you* are fasting, stop becoming gloomy like the hypocrites").

However, there is so much information in this book that sometimes it can be difficult to keep it all straight. So when I began working on the ALT, I typed out initially just for myself, a summary of the various grammatical points and suggested renderings given in this book and various other Greek grammars. That summary proved invaluable as I worked on the ALT, so later I expanded it and included it as an extensive "Grammatical Renderings " section in my book Companion Volume to the Analytical-Literal Translation: Third Edition.

So yes, get this volume if you want to understand the various uses of Greek grammatical forms. But to help keep it all straight, check out my "Companion Volume" as well. And to see how Dana and Mantey's suggestions look in an actual translation, see my ALT.

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[R804.Ebook] Ebook Abel Sanchez and Other Stories, by Miguel de Unamuno

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Delve into three of Spanish philosopher Miguel de Unamuno's most haunting parables. This essential Unamuno reader begins with the full-length novel Abel Sanchez, a modern retelling of the story of Cain and Abel. Also included are two remarkable short stories, The Madness of Doctor Montarco and San Manuel Bueno, Martyr, featuring quixotic, philosophically existential characters confronted by the dull ache of modernity.

Translated by Anthony Kerrigan and with an insightful introduction by Mario J. Valdes

• Sales Rank: #644996 in Books
• Brand: Gateway Editions
• Published on: 1996-09-01
• Original language: English
• Number of items: 1
• Dimensions: 8.26" h x .63" w x 5.48" l,
• Binding: Paperback
• 267 pages

Features

• Great product!

Language Notes
Text: English (translation)
Original Language: Spanish

Most helpful customer reviews

20 of 21 people found the following review helpful.
Abel Sanchez
By Jordan Wax
I read the Spanish version of this story a year ago and loved it. Unamuno probes the psychology of envy, which he describes as "the national disease of Spain", showing the self-hatred involved. This is a story of Cain and Abel told with loving understanding for Cain.

14 of 14 people found the following review helpful.
moving reflections on art and faith
By A Customer
These three stories, in addition to being a great read, really moved me. Yet I can't fully pin point why I enjoyed this collection so much. Maybe it was Miguel de Unamuno's unique background as a Christian existentialist writing in the early twentieth century. Maybe it was the influence of cubism on his approach to these three stories. Perhaps it was just the stories themselves; I really grew attached to these characters and the subject matter. Abel Sanchez and The Madness of Doctor Mantarco are great reflections on art (and these stories are adequately discussed in other reviews) but my personal favorite was San Manuel Bueno, Martyr. The story about a well respected priest who no longer believes in God sounds cliche, Miguel de Unamuno writes it in a way that is heartbreakingly tragic. Because the story moved me on a decidedly personal level, it's hard for me to recommend this book with certainty: how am I to know whether it's true art, or whether it's a novel I happened to just particularly like? Still, I can speak for myself: Abel Sanchez and Other Stories is an impeccable piece of literature.

7 of 7 people found the following review helpful.
Christian existentialism
By B. michael Payne
..and other themes are treated in this volume. Abel Sanchez, the title narrative, is an incredible reterlling of the Biblical story of Cain and Abel. Unamuno is able to interweave christian faith and spanish culturalism in order to create a morally compelling story. This collection has had a profound influence on me. I highly recommend it if you are interested in Christianity, Spanish literature, or even good literature.

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