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This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems ― many of them original ― specializing in three topics of mathematical analysis: limits, series, and fractional part integrals.

The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter�focuses on�the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which�are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones.

This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who�works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.

• Sales Rank: #2612351 in Books
• Published on: 2013-05-30
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .69" w x 6.14" l, 1.30 pounds
• Binding: Hardcover
• 274 pages

Review

From the reviews:

“This book contains a collection of unusual problems and solutions in mathematical analysis in the area of limits, series and fractional part integrals. … This book is indispensable for graduate students of mathematics, physics, engineering and other researchers interested in exploring the powerful techniques of mathematical analysis in their research work.” (James Adedayo Oguntuase, zbMATH, Vol. 1279, 2014)

From the Back Cover

Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis features original problems in classical analysis that invite the reader to explore a host of strategies and mathematical tools used for solving real analysis problems. The book is designed to fascinate the novice, puzzle the expert, and trigger the imaginations of all. The text is geared toward graduate students in mathematics and engineering, researchers, and anyone who works on topics at the frontier of pure and applied mathematics. Moreover, it is the first book in mathematical literature concerning the calculation of fractional part integrals and series of various types.

Most problems are neither easy nor standard and deal with modern topics of classical analysis. Each chapter has a section of open problems that may be considered as research projects for students who are taking advanced calculus classes. The intention of having these problems collected in the book is to stimulate the creativity and the discovery of new and original methods for proving known results and establishing new ones.

The book is divided into three parts, each of them containing a chapter dealing with a particular type of problems. The first chapter contains problems on limits of special sequences and Riemann integrals; the second chapter deals with the calculation of special classes of integrals involving a fractional part term; and the third chapter hosts a collection of problems on the calculation of series (single or multiple) involving either a numerical or a functional term.

�

About the Author
Ovidiu Furdui is an Assistant Professor of Mathematics at the Technical University of Cluj-Napoca, Romania. He has published more than 100 original problems in publications such as The American Mathematical Monthly and The Fibonacci Quarterly. He is the author of Selected Problems on Limits of Special Sequences.

Most helpful customer reviews

4 of 4 people found the following review helpful.
A Skyful of Limits
By Henry J. Ricardo
This is an unusual collection of problems and solutions concerning limits, infinite series, and integrals involving fractional parts. I have been following the author's problem posing and problem solving career for several years now and I am delighted that he has provided an exposition of elegant methods of handling challenging problems in analysis at the Advanced Calculus level. I recommend this book highly to anyone interested in classical analysis.

2 of 2 people found the following review helpful.
This book is a treasure trove for math lovers
By Chris Varo
The author has a special gift for creating interesting and challenging problems. His problems appear regularly in popular mathematics journals and the readers love them. All these problems are very educational and inspiring.
Now the reader has a chance to see them together, collected in this wonderful book.

2 of 2 people found the following review helpful.
Truly Marvellous Book
By BJ. Albers
This is a rare masterpiece and a true goldmine for anyone willing to invest time into attempting the exercises in this book. Doing so will elevate your analysis skills to new heights.

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[A460.Ebook] Ebook Download Shakespeare's Imagery and What it Tells Us, by Caroline Spurgeon

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Caroline Spurgeon's pioneer study of the imagery of Shakespeare's plays shows how much light can be thrown on Shakespeare's own mind and thought and on the themes and characters of the plays by a detailed examination of his imagery. At the same time she contrasts Shakespeare with other dramatists of his time, including Marlowe, Bacon, Ben Jonson and Dekker.

• Sales Rank: #385665 in Books
• Published on: 1993
• Original language: English
• Number of items: 1
• Dimensions: 8.50" h x .98" w x 5.43" l, 1.05 pounds
• Binding: Paperback
• 444 pages

Review
'Something quite new in criticism, illuminating the operations of Shakespeare's mind and the principles of his art as they have never been illuminated before. No student of Shakespeare or of the workings of imagination can afford to miss this entrancing book.' Edwin Muir, The Scotsman

'A monumental work without a single dull page.' George Rylands, The New Statesman

'The most significant book on Shakespeare published since Bradley's Shakespearean Tragedy.' H. B. Charlton, Manchester Guardian

Most helpful customer reviews

48 of 49 people found the following review helpful.
One of the two best books on Shakespeare
By Ron Cooper
As a Shakespeare scholar, I have read countless books on my favorite writer. Two books stand out as the best: John Dover Wilson's "What Happens in Hamlet?" and Caroline Spurgeon's "Shakespeare's Imagery." If I could only keep two Shakespeare books in my library, I would choose these. Dr. Spurgeon spent ten years sifting through the entire Shakespeare canon and pulling out every metaphor and simile she could find. Then, she organized them into like groups. This offered her, and us through her writing, an insight into Shakespeare's creative genius. With evidence in hand, Dr. Spurgeon explored how Shakepeare's mind actually worked; she uncovered his patterns of creative thinking. His abundant use of garden and household images and his relatively few uses of classical or scholarly images show us a writer more in touch with the real everyday world. His childhood homelife, the images one tends to carry throughout one's life, become crystal clear when set side by side in this fashion. In Spurgeon's book, we clearly see that the works of Shakespeare had to have been written by Shakespeare, who was born in small town Stratford, and not the works of a university trained dramatist or a member of Queen Elizabeth's court. It is fascinating to see Shakespeare's images compared and contrasted to those of Marlowe, Dekker, and Johnson. Each writer thought and created images in a unique manner. Seeing and understanding the differences, as expertly explained by Dr. Spurgeon, gives one a deeper insight into and appreciation of one of the greatest minds of all time. If you love Shakespeare then do not miss reading this book.

21 of 21 people found the following review helpful.
Scholarly research at its best
By LaurenAnn
Caroline Spurgeon's "Shakespeare's Imagery and What It Tells Us" is one of the books you'll most definitely find on the Shakespeare students' bookshelf, and for good reason: nobody outlines the visual images, themes, and motifs in Shakespeare's plays as well as Spurgeon does.
Furthermore, Spurgeon doesn't outline themes on a play-by-play basis; instead, she takes a particular image and tells us about ALL of the ways it appears in ANY of the plays. Example: she outlines dream imagery in Richard II, Winter's Tale, Henry VIII, and Romeo and Juliet. This may sound a little confusing, and indeed can be, but it allows a real glimpse into Shakespeare's mind, and allows the reader to see common threads in all of the plays.
Also intriguing are the detailed charts in the back of the book that give a visual reference of how prevalent certain images are in Shakespeare's plays: for instance, one chart shows how prevalent sickness, disease, and medicine are in each of the plays.
Spurgeon did an amazing amount of work in order to complete this book, and it shows--it's one of the most thorough references available, and it is invaluable to the Shakespeare student, teacher, or scholar. Spurgeon didn't cover EVERYTHING--who could?--and a true scholar might find himself noting what's absent at times. Also, the reading can be a bit boring at times, but it always picks back up quickly, and it really highlights the machinations of Shakespeare's mind. Highly recommended!

11 of 12 people found the following review helpful.
part of the heart of shakespeare...
By ingrid888
This is an innocent book, no scholarly posing (though she is, no doubt, a scholar)... It's a very readable book as well... In fact it's a devourable book... Plays are obviously short on description and description is the most edible part of imaginative writing, so to have all of Shakespeare's imagery for metaphor and symbol and so forth all together right in front of you is very attractive and appetite, if not lust, inducing... She also creatively categorizes everything and compares it all in different ways including comparisons with contemporaries like Marlowe and Jonson and Bacon... A very interesting and delightful Shakespeare (and language) book...

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• Published on: 1600
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• Sales Rank: #4179187 in Books
• Published on: 2012-10-12
• Original language: English
• Number of items: 1
• Dimensions: 10.00" h x 1.71" w x 7.99" l, 3.70 pounds
• Binding: Paperback
• 845 pages

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Concise, affordable, and engaging, American Government in Black and White, Second Edition, is a unique introduction to American government that uses racial and ethnic equality as its underlying theme. Authors Paula D. McClain and Steven C. Tauber address issues of inequality in major facets of government, including the U.S. Constitution, key American political institutions and instruments of political behavior, and the making of public policy. Engaging the original voices of racial and ethnic actors in our nation's history, they show students how to measure and evaluate the importance of equality in America, from its founding up to today.

FEATURES

* Three kinds of text boxes that help students develop empirical and qualitative analytical abilities: "Measuring Equality," "Evaluating Equality," and "Our Voices"

* Vignettes, illustrations, and case material that connect America's past and present

* Running glossary definitions, thematic chapter conclusions, probing review questions, and annotated additional readings highlighting writings by and about racial and ethnic minorities

PACKAGING OPTIONS

Now Playing: Learning American Government Through Film, provides video examples of course concepts, demonstrating the real-world relevance of what students are learning in the course. It is available in both a student and instructor version and can be packaged for free with this text.

CNN Video DVD: Featuring recent clips on timely topics, this DVD contains fifteen films tied to the chapter topics in the text. Each clip is approximately 5-10 minutes in length, offering a great way to launch your lectures. The DVD will be available to qualified adopters.

Adopters of American Government in Black and White, Second Edition, can package ANY Oxford book with the text for a 20% savings off the total package price. See our many trade and scholarly offerings at www.oup.com/us, then contact your local OUP representative to request a package ISBN.

• Sales Rank: #280371 in Books
• Brand: Brand: Oxford University Press, USA
• Published on: 2013-07-15
• Original language: English
• Number of items: 1
• Dimensions: 7.50" h x .90" w x 9.20" l, 2.12 pounds
• Binding: Paperback
• 624 pages

Features

• Used Book in Good Condition

Review

"American Government in Black and White is unique. There is no other text like it. It covers issues that other textbooks merely refer to as asides."--Richard Waterman, University of Kentucky

"This is a text that will provoke emotion and serious opportunities for critical thought about the role of government in the lives of Americans. It enables students to thoughtfully consider notions of equality and inequality and how government alleviates and burdens its citizens."--Damien Arthur, West Virginia State University

"American Government in Black and White is a thought-provoking yet substantive and research-filled textbook. It offers innovative perspectives on the overlap of race and politics while also fostering new levels of learning."--Anthony A. Maalouf, Delaware County Community College

"This book is innovative in that it uses the thematic lens of inclusion and exclusion to explore American politics. This approach is necessary because it enables today's college students to explore where our country has come from and where it is going."--Nathan K. Mitchell, Prairie View A&M University

About the Author

Paula D. McClain is Professor of Political Science, Professor of Public Policy, Dean of the Graduate School, Vice Provost for Graduate Education, and Co-Director of the Center for the Study of Race, Ethnicity, and Gender in the Social Sciences at Duke University. She is a premier author, scholar, and series editor of numerous works on urban, racial, and ethnic politics.

Steven C. Tauber is Associate Professor and Chair of the Department of Government and International Affairs at the University of South Florida. He is known for his work on judicial politics, particularly on social movements' use of litigation as a strategy. His work has covered civil rights groups and the animal rights movement.

Most helpful customer reviews

1 of 1 people found the following review helpful.
School Book
By Miss Storm
I actually bought this book for the sole purpose of me not being able to get it from my school's bookstore. I bought it for my Political Science class and when I say it's really informative and my class is amazing. I'm pleased to say I won't sell it back. It'll now be a reference book!

1 of 1 people found the following review helpful.
The title has a double-meaning. The text makes learning ...
By SMW
The title has a double-meaning. The text makes learning about the government simple (like black and white), but it also has a focus on racial discrimination against Black people. The book uses recent or popular events as examples, which also makes applying the info easier to digest.

0 of 0 people found the following review helpful.
Great quality and worth the price.
By Itzel
Very cheap. Great price for a college student like myself.

See all 6 customer reviews...

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