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A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis

Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis.

The author develops the theory of measure and integration on abstract measure spaces with an emphasis of the real line and Euclidean space. Additional topical coverage includes:

• Measure spaces, outer measures, and extension theorems

• Lebesgue measure on the line and in Euclidean space
• Measurable functions, Egoroff's theorem, and Lusin's theorem
• Convergence theorems for integrals
• Product measures and Fubini's theorem
• Differentiation theorems for functions of real variables
• Decomposition theorems for signed measures
• Absolute continuity and the Radon-Nikodym theorem
• Lp spaces, continuous-function spaces, and duality theorems
• Translation-invariant subspaces of L2 and applications

The book's presentation lays the foundation for further study of functional analysis, harmonic analysis, and probability, and its treatment of real analysis highlights the fundamental role of translations. Each theorem is accompanied by opportunities to employ the concept, as numerous exercises explore applications including convolutions, Fourier transforms, and differentiation across the integral sign.

Providing an efficient and readable treatment of this classical subject, Measure and Integration: A Concise Introduction to Real Analysis is a useful book for courses in real analysis at the graduate level. It is also a valuable reference for practitioners in the mathematical sciences.

• Sales Rank: #2482181 in Books
• Published on: 2009-07-07
• Original language: English
• Number of items: 1
• Dimensions: 9.55" h x .70" w x 6.35" l, 1.01 pounds
• Binding: Hardcover
• 237 pages

Review
"The book is well thought out, organized and written. It has all the results in measure theory that are necessary for both pure and applied mathematics research." (Mathematical Reviews, 2011)

From the Inside Flap

Measure and Integration

A concise Introduction to Real Analysis

Leonard F. Richardson

From the Back Cover
A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis

Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis.

The author develops the theory of measure and integration on abstract measure spaces with an emphasis of the real line and Euclidean space. Additional topical coverage includes:

• Measure spaces, outer measures, and extension theorems

• Lebesgue measure on the line and in Euclidean space
• Measurable functions, Egoroff's theorem, and Lusin's theorem
• Convergence theorems for integrals
• Product measures and Fubini's theorem
• Differentiation theorems for functions of real variables
• Decomposition theorems for signed measures
• Absolute continuity and the Radon-Nikodym theorem
• Lp spaces, continuous-function spaces, and duality theorems
• Translation-invariant subspaces of L2 and applications

The book's presentation lays the foundation for further study of functional analysis, harmonic analysis, and probability, and its treatment of real analysis highlights the fundamental role of translations. Each theorem is accompanied by opportunities to employ the concept, as numerous exercises explore applications including convolutions, Fourier transforms, and differentiation across the integral sign.

Providing an efficient and readable treatment of this classical subject, Measure and Integration: A Concise Introduction to Real Analysis is a useful book for courses in real analysis at the graduate level. It is also a valuable reference for practitioners in the mathematical sciences.

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Originally published in 1992, National Rifle Association: Money, Firepower & Fear traces the history and political development of the National Rifle Association of America (NRA) from its founding in 1871 "to promote rifle practice" to its transformation into the mighty gun lobby that we know today. Described as a "chilling expose" by Publishers Weekly upon its publication, National Rifle Association: Money, Firepower & Fear offers not only a detailed review of the political battles that defined the organization from the 1930s through the 1980s, but also pulls back the curtain on the inner workings of the organization. From 1977's "Cincinnati Revolt" in which Second Amendment fundamentalists led by Harlon Carter and Neal Knox took control of the organization to a series of high-profile leadership scandals that engulfed the NRA in the wake of Carter's departure, National Rifle Association: Money, Firepower & Fear offers the definitive critical look at the NRA during this period.

• Sales Rank: #3420438 in Books
• Published on: 2010-04-19
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x .66" w x 6.00" l, .86 pounds
• Binding: Paperback
• 290 pages

About the Author
Josh Sugarmann is executive director of the Violence Policy Center (VPC), which he has headed since founding it in 1988. Prior to establishing the VPC, Mr. Sugarmann was a press officer in the national office of Amnesty International USA and the communications director for the National Coalition to Ban Handguns. Mr. Sugarmann's articles and op-eds have appeared in numerous publications, including the New York Times, Washington Post, Wall Street Journal, Los Angeles Times, Mother Jones, Rolling Stone, The Nation, and Washington Monthly. He is also the author of Every Handgun is Aimed at You: The Case for Banning Handguns, published by The New Press in 2001.

Most helpful customer reviews

3 of 4 people found the following review helpful.
Anti NRA: always lies
By pencil holder
Propaganda against the NRA without any facts. the NRA's actually just regular people, meet up with teachers, nurses, doctors, paramedics, firefighters, police and military and many others. The pro gun side is the only side is actually educated about the gun issue. Real compassionate for the victims of violence is doing what works. Restricting and disarming the good guys is the last thing you want to do. gun control laws have never helped and it's sad that the victim's families are being used as political pawns to push an agenda that will not help anyone. The NRA is fighting to actually help people defend themselves. criminals do not hate gun laws. gun laws support criminals.

3 of 6 people found the following review helpful.
Sorely wrong
By heybuddy
I checked out this book hoping it would add to my history of gun culture and control. I found it to be out of step with much of the literature. Women and black Americans did not need NRA and the firearm industry to promote gun sales to them. The evidence shows that these groups had a cultural link to guns before the time period Sugarmann posits. Further, there wasn't any emphasis on the fact that the NRA has promoted gun control. This is a hit piece and should be read purely for enjoyment.

5 of 9 people found the following review helpful.
Transperant at least.
By Jason
Dear fellow citizens,
When making a literary purchase, its a fundamental necessity to know who wrote it and their motivation to do so.
I applaud the honesty set forth in disclosing the authors back ground and agenda.

Now, I know I will only read this book while on loan from my public Library.

I wish to leave this item zero stars, as it simply a lobbyist peddling his own wares,(oh the irony here), but its impossible.

One star you'll receive and nothing more.

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Written in the early 5th century by Augustine of Hippo, who later became a Doctor of the Church, this large theological work provided an articulate defense of Christianity when it was being held culpable for the shocking sack of Rome that had occurred just a few years before. It outlines a citizenship that goes beyond the worldly, the political, and the self-centered, instead focusing on a place where the inhabitants are devout, God-focused, and seeking grace. In examining history with a clear perception of good and evil, Augustine was in effect interpreting human actions in relation to eternity. He contrasts earthly and heavenly cities to great effect, in addition to inspecting pagan religions, Greek philosophers like Plato, and the Bible. Just as it influenced the people of the author's own time, "The City of God" is still a powerful Christian text to this day and considered a foundational work of Christianity.

• Sales Rank: #10503 in Audible
• Published on: 2008-06-20
• Format: Unabridged
• Original language: English
• Running time: 2864 minutes

Amazon.com Review
Augustine's City of God, a monumental work of religious lore, philosophy, and history, was written as a kind of literary tombstone for Roman culture. After the sack of Rome, Augustine wrote this book to anatomize the corruption of Romans' pursuit of earthly pleasures: "grasping for praise, open-handed with their money; honest in the pursuit of wealth, they wanted to hoard glory." Augustine contrasts his condemnation of Rome with an exaltation of Christian culture. The glory that Rome failed to attain will only be realized by citizens of the City of God, the Heavenly Jerusalem foreseen in Revelation. Because City of God was written for men of classical learning--custodians of the culture Augustine sought to condemn--it is thick with Ciceronian circumlocutions, and makes many stark contrasts between "Your Virgil" and "Our Scriptures." Even if Augustine's prose strikes modern ears as a bit bombastic, and if his polarized Christian/pagan world is more binary than the one we live in today, his arguments against utopianism and his defense of the richness of Christian culture remain useful and strong. City of God is, as its final words proclaim itself to be, "a giant of a book." --Michael Joseph Gross

Review
"The human mind can understand truth only by thinking, as is clear from Augustine."
– Saint Thomas Aquinas

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

Most helpful customer reviews

9 of 9 people found the following review helpful.
A classic that is very lengthy
By Steve DeGangi
The City of God is a classic with very detailed theological thoughts and developments throughout the very long book. Augustine develops the two cities theme with vast information. It was difficult for me to sustain the level of attention for this monumental work throughout. There were ideas from Augustine that I had never heard of in theology or divinity school. For example he ponders and goes through Biblical verses to support his view on the origin of angels in the creation scheme. I am glad that I read through this book in a quick way but admit it would be difficult to carefully read this huge book. Augustine is a remarkable church father. I would suggest reading his confessions or his book on teachings as a starter to Augustine, however.

19 of 21 people found the following review helpful.
Read this book!
By Anthony Spallone
What can I say? This is a classic. I am so glad I read this before my 30th birthday and before the 2016 US presidential election. It really puts things into perspective. No matter how great I think America is and how much of a superpower it is it does not compare to how long and how great the Roman Empire was. I cannot even begin to imagine how the citizens of Rome must have felt when they heard the news that the barbarian tribes from the north took over Rome in 410AD. This apologetic work from Augustine of Hippo does not only argue that the City of God will overcome the City of Man one day but also teaches one how to engage critics and persuasively convince the reader. Augustine was a Roman through and through but His love for the true Eternal City was always more important. This book gave me an appreciation for how God always has a 'pilgrim people' that He has predestined to fight the good fight. If you are looking for a biblical theology of the City of God throughout all of Scripture then this is a great read for you. It will also give you an appreciation for how the current trend of 'gospel-centered' is not anything new but really old and Augustine was a master at making Christ-centered connections from the OT.

For example, on page 971 Augustine skillfully writes, "This is why, as the Lord carried his cross, so Isaac himself carried to the place of sacrifice the wood on which he too was to be placed. Moreover, after the father had been prevented from striking his son, since it was not right that Isaac should be slain, who was the ram whose immolation completed the sacrifice by blood of symbolic significance? Bear in mind that when Abraham saw the ram it was caught by the horns in a thicket. Who, then, was symbolized by that ram but Jesus, crowned with Jewish thorns150 before he was offered in sacrifice?

The book is filled with little nuggets all throughout. Couldn't recommend it more!

4 of 4 people found the following review helpful.
Classic work on the meaning of history
By Msgr James A Kelly
Augustine was genuinely interested in every aspect of reality, and his inquiring spirit leads him into many difficult and important issues. In this book, he offers a theological understanding of history. He responds to the criticism that abandoning the worship of the traditional deities of Rome and turning to Christianity had contributed to the fall of Rome. His criticism of traditional Roman religion is powerful and at times amusing. As is well known, he writes about two cities which are in continual conflict, developing alongside one another: the city of God, based on the love of God even to the point of despising self; and the city of man, built on love for self even to the point of despising God. An interesting detail is that we do not know in our present life who belongs to each city. People who today are externally following God's law may one day abandon that way, and be separated from him forever. Others may seem far from him, but they may eventually find their way close to him, as happened to Augustine himself.

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PHILOSOPHY and REVOLUTION: From Hegel to Sartre, and from Marx to Mao [Unknown Binding] [Jan 01, 1973] ...

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Many soccer players new to soccer believe that you have to pose exceptional skills in order to score many goals. This is far from the truth, because even a player with very basic skills can score a lot of goals if he knows how. I will reveal how you can do this as well, even if you have only played soccer a few months.

There is one pitfall - yes, just one! - that separates the pure goal scoring machines apart from the average ones who barely score goals. Which one would you rather be? This pitfall is something you must avoid if you want to score goals game after game and separate yourself from the average soccer player. While this pitfall can seem obvious most players get trapped in it, which is why they rarely score any goals during their soccer career.

I'm sure you have faced players that seem to have an incredibly ability to score goals from nothing. Often, these players are referred as the ones who have the nose for the goal and it's easy to think that they have some extraordinary skill. I'm here to tell you they don't, and I can prove to you in this guide that is going to be an easy reference for you. However, this is far from the truth and you can also become one of them if you have the right tools.

Most keepers make mistakes soon or later and your job is to be there when it occurs and turn their mistakes into goals. However, the truth is that most players never bother with taking advantage of this because they don't do it right. I will reveal how you can be first on the ball when the keeper makes the mistakes without giving him a chance to correct it.

• Sales Rank: #114822 in Audible
• Published on: 2015-12-11
• Format: Unabridged
• Original language: English
• Running time: 124 minutes

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1 of 1 people found the following review helpful.
Improved Goal Scoring
By faster92
Great book Mirsad!!! I bought this book to help out my nine year old son become a better goal scorer. By reading your book and applying what he's learned, he has shown immediate improvement...7 goal in his last 4 games!! I too have been reading the book and it has inspired me to get back into the game i left over 20 years ago. Thanks again Mirsad!!

1 of 1 people found the following review helpful.
Great
By Amir hossein bazgir
This is a Great book for strikers .If you are a striker don't miss this book.There is a lot of useful things in this book.

0 of 0 people found the following review helpful.
Great tips for all young players!
By Davo35
Simple, concise, easy to read and packed with simple great tips for both the physical and mental skills it takes to be a productive striker. Got it for my 12 year who has read it twice already and always points out stuff he is doing from the book.Definitely recommend the whole series of books from this author.

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• Published on: 1993
• Original language: French
• Dimensions: 7.24" h x 2.68" w x 9.09" l,
• Binding: Hardcover

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• Sales Rank: #4863835 in Books
• Published on: 2000
• Binding: Paperback
• 29 pages

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0 of 1 people found the following review helpful.
Why Grace changes everything
By Barbara A. Rhinehart
whenever you can learn and share about God's grace and its benefits...........then this is the resource

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Peirce’s logic of continuity is explored from a double perspective: (i) Peirce’s original understanding of the continuum, alternative to Cantor’s analytical Real line, (ii) Peirce’s original construction of a topological logic –- the existential graphs -– alternative to the algebraic presentation of propositional and first-order calculi. Peirce’s general architectonics, oriented to back-and-forth hierarchical crossings between the global and the local, is reflected with great care both in the continuum and the existential graphs.

• Sales Rank: #448229 in Books
• Brand: Brand: Docent Press
• Published on: 2012-12-11
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x .44" w x 6.00" l, .58 pounds
• Binding: Paperback
• 192 pages

Features

• Used Book in Good Condition

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0 of 0 people found the following review helpful.
A *must read* book for all interested in 'continuity' in the sciences, mathematics, logics, and in philosophy
By Gary J. Richmond
This is a *must read* book, not only for those interested in the science, lmathematics, logic, and philosophy of the great 19th/early 20th century polymath, Charles S. Peirce, but for anyone interested in the trajectory of contemporary mathematics and philosophy, especially philosophical pragmatism. Zalamea is *the* acknowledged expert on Peircean math and logiic, and I have little doubt that his reputation will grow more generally in philosophy and mathematics in the years to come. This book will undoubtedly contribute mightily to that. Since his interests and work extend far beyond the disciplines mentioned to include many of the arts, perhaps especially music, he may turn out to be the last "Renaissance man" of the post-modern era.

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Completely satisfied!
By Driftwin Books
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