[T740.Ebook] Get Free Ebook Elements of Advanced Mathematics, Third Edition, by Steven G. Krantz

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Elements of Advanced Mathematics, Third Edition, by Steven G. Krantz

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For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant.

This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques.

Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

• Sales Rank: #1116998 in Books
• Brand: Brand: Chapman and Hall/CRC
• Published on: 2012-03-19
• Original language: English
• Number of items: 1
• Dimensions: 9.50" h x 6.50" w x .75" l, 1.41 pounds
• Binding: Hardcover
• 367 pages

Features

• Used Book in Good Condition

Review

… one of the difficulties that students have with university mathematics is being able to relate it to what they’ve done at school. In this respect, the work on logic, sets, proof, relations and functions plays an essential bridging role. But another problem to be addressed is to re-present mathematics as a way of knowing―rather than a static body of formalised knowledge. In this book, Steven Krantz tackles this anomaly by including many open-ended problems in the rich collections of exercises. … The new chapters on theoretical computer science are concisely lucid, and I learned much by reading them. … this book engages the reader in really meaningful aspects of mathematics: it is well organized and is written with accuracy. … it is recommended as a possible course text for those who are planning to teach a foundation course.
―P.N. Ruane, MAA Reviews, July 2012

Retains the content and character of previous editions while making the material more up-to-date and significant. … gives readers the background, tools, and skills necessary in more advanced mathematical work.
― L'Enseignement Mathematique, 2012

About the Author

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis, Missouri. He has published over 150 papers and nearly 70 books and has been an editor of several journals. He earned a Ph.D. in mathematics from Princeton University. His research interests include complex variables, harmonic analysis, partial differential equations, geometry, interpolation of operators, and real analysis.

Most helpful customer reviews

0 of 2 people found the following review helpful.
Five Stars
By Ofelia Gonzalez-Vega
FAST shipping, accurate description.

5 of 13 people found the following review helpful.
Difficult read
By charline
This was a required book for my Intro to Advanced Mathematics course. It was the first year this professor taught the course, and about a month in we stopped using the text and he made his own notes. We found it difficult to read, but the exersizes were useful. Also, the notation Krantz prefers to use tends to be the less common notations used in the math world.

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[I933.Ebook] Get Free Ebook Elements of Mathematics: From Euclid to Godel, by John Stillwell

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Elements of Mathematics: From Euclid to Godel, by John Stillwell

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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.

From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.

Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

• Sales Rank: #65199 in eBooks
• Published on: 2016-05-31
• Released on: 2016-05-31
• Format: Kindle eBook

Review
"[Stillwell] writes clearly and engagingly. . . . [Elements of Mathematics] can appeal to various constituencies at different levels of mathematical sophistication."--Mark Hunacek, MAA Reviews

"A great exploration of elementary mathematics, its limitations, how infinity complicates things, and how various branches of mathematics fit together."--Antonio Cangiano, Math-Blog

"John Stillwell uses his broad and impressive command of mathematics to transport a reader through each topic and to a higher level of understanding and questioning. . . . Stillwell's writing is clear and direct, embellished by illustrative anecdotes and examples. . . . I consider Elements of Mathematics to be thought provoking, an informative and worthwhile read and a valuable reference."--Frank Swetz, Convergence

"An accessible read. . . . Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity."--Gemma Tarlach, Discover

"[A] sophisticated treatment of topics usually described as elementary."--John Allen Paulos

From the Back Cover

"The coherence of mathematics is on display in this masterful, beautifully written synthesis. With probing questions, lucid explanations, and fascinating examples and stories, John Stillwell reveals where the seemingly separate branches of math came from, how they intertwine, and why the hidden unifier is the deepest idea of all: infinity."--Steven Strogatz, Cornell University and author of The Joy of x

"This is a beautifully written overview and excursion through elementary mathematics, written to appeal to nonspecialists. The book is distinguished by its breadth of scope and precise details. It will be a classic in the field."--David Bressoud, Macalester College

About the Author
John Stillwell is professor of mathematics at the University of San Francisco. His many books include Mathematics and Its History and Roads to Infinity.

Most helpful customer reviews

8 of 8 people found the following review helpful.
nice panoramic view
By Oliver Knill
Like all books from Stillwell, it is a well structured and written book with a treasure trove of things. I teach a course "teaching math from a historical perspective" now for the 8th time which has a similar scope: a panoramic view over many different topics in math. I had used an other book from Stillwell (mathematics and its history) before for that class. The "elements" would be even better suited. Every chapter finishes with a section on "philosophical remarks" and a section with "historical remarks". Part of the book goes further than any other book for a more general audience: examples are "reverse mathematics" or the "Koenig infinity lemma". The book will definitely enrich any course with a broader scope.

35 of 36 people found the following review helpful.
"Elementary," but full of sophisticated insights
By J. Holt
A lovely traversal of "elementary" topics in number theory, computability, algebra, geometry, calculus, combinatorics, probability, and logic. Although I was familiar with most of the material, Stillwell's presentation was full of new insights. The connections drawn between topology and combinatorics (e.g. how the Bolzano-Weierstrass theorem is a special case of the K�nig infinity lemma) were particularly enlightening. And some more advanced topics are taken up at the end of the book (like the unsolvability of the isomorphism problem for groups). Stillwell's historical and philosophical comments were great fun, and his remarks on "reverse mathematics" (which gauges the strength of the axioms needed to prove a theorem) gave me my first taste of this relatively new field. Experts will find this book a breezy and enjoyable read, and beginners will learn a lot thanks to Stillwell's characteristically clear exposition.

4 of 5 people found the following review helpful.
Interesting and informative but at times difficult
By TWMiller
As someone who has taken many advanced calculus and introductory probability courses many years ago, I found the coverage of these and related subjects and of Euclid's Elements quite good. In several cases, particularly infinite series, the book clarified some mysteries I never did understand as a student.

On the negative side, I fault the book format, i.e., being an image of pages and not a digital Kindle, made reading very difficult at times. In particular figures were often discussed on one or rwo pages prior. Plus the author's use of notation sometimes assumed the reader was reading the book in one or two sittings -- not the case for me.

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[X526.Ebook] Ebook Free Loss Models: From Data to Decisions, by Stuart A. Klugman, Harry H. Panjer, Gordon E. Willmot

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Praise for the Third Edition

"This book provides in-depth coverage of modelling techniques used throughout many branches of actuarial science. . . . The exceptional high standard of this book has made it a pleasure to read." —Annals of Actuarial Science

Newly organized to focus exclusively on material tested in the Society of Actuaries' Exam C and the Casualty Actuarial Society's Exam 4, Loss Models: From Data to Decisions, Fourth Edition continues to supply actuaries with a practical approach to the key concepts and techniques needed on the job. With updated material and extensive examples, the book successfully provides the essential methods for using available data to construct models for the frequency and severity of future adverse outcomes.

The book continues to equip readers with the tools needed for the construction and analysis of mathematical models that describe the process by which funds flow into and out of an insurance system. Focusing on the loss process, the authors explore key quantitative techniques including random variables, basic distributional quantities, and the recursive method, and discuss techniques for classifying and creating distributions. Parametric, non-parametric, and Bayesian estimation methods are thoroughly covered along with advice for choosing an appropriate model.

New features of this Fourth Edition include:

• Expanded discussion of working with large data sets, now including more practical elements of constructing decrement tables
• Added coverage of methods for simulating several special situations
• An updated presentation of Bayesian estimation, outlining conjugate prior distributions and the linear exponential family as well as related computational issues

Throughout the book, numerous examples showcase the real-world applications of the presented concepts, with an emphasis on calculations and spreadsheet implementation. A wealth of new exercises taken from previous Exam C/4 exams allows readers to test their comprehension of the material, and a related FTP site features the book's data sets.

Loss Models, Fourth Edition is an indispensable resource for students and aspiring actuaries who are preparing to take the SOA and CAS examinations. The book is also a valuable reference for professional actuaries, actuarial students, and anyone who works with loss and risk models.

To explore our additional offerings in actuarial exam preparation visit www.wiley.com/go/c4actuarial .

• Sales Rank: #357136 in Books
• Brand: Brand: Wiley
• Published on: 2012-09-04
• Format: Abridged
• Original language: English
• Number of items: 1
• Dimensions: 10.10" h x 1.10" w x 7.10" l, 2.85 pounds
• Binding: Hardcover
• 536 pages

Features

• Used Book in Good Condition

From the Back Cover

Praise for the Third Edition

"This book provides in-depth coverage of modelling techniques used throughout many branches of actuarial science. . . . The exceptional high standard of this book has made it a pleasure to read." —Annals of Actuarial Science

Newly organized to focus exclusively on material tested in the Society of Actuaries' Exam C and the Casualty Actuarial Society's Exam 4, Loss Models: From Data to Decisions, Fourth Edition continues to supply actuaries with a practical approach to the key concepts and techniques needed on the job. With updated material and extensive examples, the book successfully provides the essential methods for using available data to construct models for the frequency and severity of future adverse outcomes.

The book continues to equip readers with the tools needed for the construction and analysis of mathematical models that describe the process by which funds flow into and out of an insurance system. Focusing on the loss process, the authors explore key quantitative techniques including random variables, basic distributional quantities, and the recursive method, and discuss techniques for classifying and creating distributions. Parametric, non-parametric, and Bayesian estimation methods are thoroughly covered along with advice for choosing an appropriate model.

New features of this Fourth Edition include:

• Expanded discussion of working with large data sets, now including more practical elements of constructing decrement tables
• Added coverage of methods for simulating several special situations
• An updated presentation of Bayesian estimation, outlining conjugate prior distributions and the linear exponential family as well as related computational issues

Throughout the book, numerous examples showcase the real-world applications of the presented concepts, with an emphasis on calculations and spreadsheet implementation. A wealth of new exercises taken from previous Exam C/4 exams allows readers to test their comprehension of the material, and a related FTP site features the book's data sets.

Loss Models, Fourth Edition is an indispensable resource for students and aspiring actuaries who are preparing to take the SOA and CAS examinations. The book is also a valuable reference for professional actuaries, actuarial students, and anyone who works with loss and risk models.

About the Author

STUART A. KLUGMAN, PhD, FSA, CERA, is Staff Fellow (Education) at the Society of Actuaries (SOA) and Principal Financial Group Distinguished Professor Emeritus of Actuarial Science at Drake University. He served as SOA vice-president from 2001-2003.

HARRY H. PANJER, PhD, is Distinguished Professor Emeritus in the Department of Statistics and Actuarial Science at the University of Waterloo, Canada. He is past president of the Canadian Institute of Actuaries and the Society of Actuaries.

GORDON E. WILLMOT, PhD, FSA, FCIA, is Munich Re Chair in Insurance and Professor in the Department of Statistics and Actuarial Science at the University of Waterloo, Canada. Dr. Willmot currently focuses his research on the analysis of insurance losses, with an emphasis on the theory and application of aggregate claims models.

Most helpful customer reviews

0 of 0 people found the following review helpful.
nothing improved but deleted several chapters like ruin theory and Poisson process
By Jimmy
Comparing to the 3rd edition, nothing improved but deleted several chapters like ruin theory and Poisson process. I recommend the 3rd edition if you want to dig more. However, as a reference of exam C, this is sufficient

1 of 1 people found the following review helpful.
Classical Textbook for Risk Theory
By Tianshuo Wang
The Klugman's loss model is definitely a classical textbook for actuarial science. The third edition is also the classical edition. As they have elaborate on varies actuarial model, I have to say that every actuarial guys should definitely have one of their own for reference and enjoy. Greatest solute to Professor Klugman, Panjer and Willmot.

0 of 0 people found the following review helpful.
Great profuct
By Adam Miller
As advertised

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In 2011 when Alice Feiring first arrived in Georgia, she felt as if she’d emerged from the magic wardrobe into a world filled with mythical characters making exotic and delicious wine with the low-tech methods of centuries past. She was smitten, and she wasn’t alone. This country on the Black Sea has an unusual effect on people; the most passionate rip off their clothes and drink wines out of horns while the cold-hearted well up with tears and make emotional toasts. Visiting winemakers fall under Georgia’s spell and bring home qvevris (clay fermentation vessels) while rethinking their own techniques.


But, as in any good fairy tale, Feiring sensed that danger rode shotgun with the magic. With acclaim and growing international interest come threats in the guise of new wine consultants aimed at making wines more commercial. So Feiring fought back in the only way she knew how: by celebrating Georgia and the men and women who make the wines she loves most, those made naturally with organic viticulture, minimal intervention, and no additives.


From Tbilisi to Batumi, Feiring meets winemakers, bishops, farmers, artists, and silk spinners. She feasts, toasts, and collects recipes. She encounters the thriving qvevri craftspeople of the countryside, wild grape hunters, and even Stalin’s last winemaker while plumbing the depths of this tiny country’s love for its wines.


For the Love of Wine is Feiring’s emotional tale of a remarkable country and people who have survived religious wars and Soviet occupation yet managed always to keep hold of their precious wine traditions. Embedded in the narrative is the hope that Georgia has the temerity to confront its latest threat—modernization.

• Sales Rank: #314950 in Books
• Published on: 2016-03-01
• Original language: English
• Number of items: 1
• Dimensions: 8.60" h x .90" w x 5.80" l, .0 pounds
• Binding: Hardcover
• 208 pages

Review
"Feiring's lively account is a good place to begin for wine lovers seeking a head start on exploring a vastly underappreciated wine-producing country."—Kirkus (Kirkus 2016-01-10)

"For the Love of Wine is a fascinating study. . . . Every wine-lover and professional wine historian will love reading this book."—Washington Book Review (Washington Book Review)

"Just like Georgia itself, For the Love of Wine is full of wonderful, plentiful food and drink. The result is a classic, captivating book that casual drinkers, serious wine geeks and cooks can all enjoy and learn from."—Kevin Begos, CTPost (Kevin Begos CTPost 2016-04-04)

"Wine traveler and wine enthusiast alike will find this an informative and easy read."—Wine Tourist Magazine (Wine Tourist Magazine)

"For The Love Of Wine�is a book not only for wine enthusiasts, but for all who like spontaneous writing that explores a culture and its people."—Winesworld Magazine (Winesworld Magazine 2016-04-25)

“By the time you’ve picked up this book, Georgian wine will be internationally known—thanks in no small part to Alice Feiring, who has put her passion and pen behind it. What do God, Stalin, and truth have to do with great wine? Follow her on her journeys into a rich and fascinating culture and find out.” —Christine Muhlke, executive editor of�Bon App�tit�

(Christine Muhlke 2015-09-14)

About the Author
Alice Feiring is an internationally known author, journalist, and essayist who lives in New York City. She has been the wine correspondent for Wall Street Journal Magazine and Time�and now freelances for the New York Times, Wine and Spirits, and Omnivore. Winner of both the James Beard and the Louis Roederer wine writing awards, Feiring is the author of Naked Wine: Letting Grapes Do What Comes Naturally and The Battle for Wine and Love; or, How I Saved the World from Parkerization.�

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0 of 0 people found the following review helpful.
Wine The Georgian Way
By Diana R.
Georgia is one of Europe’s most under-rated countries. In the heart of the Caucasus Mountains, wedged between Russia, Turkey, Armenia and Azerbaijan, it is at the crossroads of Europe, Asia and the Middle East, an ancient land with a rich history and culture. Because of its coveted position on the ancient Silk Road crossing the formidable Caucasus Mountains, much of that history has been violent, including invasions, attacks and occupation. Despite this destruction and continual turmoil that saw the capital, Tbilisi, razed to the ground multiple times, the Georgian people have rebuilt their land and their cities, maintaining their culture, language and love of life and wine in the face of extreme adversity.
This triumph has been captured superbly in Alice Feiring’s latest book, For The Love of Wine. An award-winning writer, Alice is an ardent champion of natural winemaking, who chronicles her voyage of discovery through this magical land. “It was like emerging from the magic wardrobe into a world filled with mythical characters making delicious wine,” she writes.
The wine is made using an ancient process that has existed in Georgia for over 8,000 years. Indeed, evidence points to Georgia as being the cradle of wine (or “ghvino” as it is called here). That the process has survived at all is miraculous, given the lengths to which the Shahs of Persia and the Soviets, among others, went to destroy the vines. The fact that several hundred species exist today in Georgia (most of them unknown to the rest of the world) is a testament to the tenacity of the people….and the vines.
I first came across For the Love of Wine while researching our trip to Georgia. I read it cover to cover in one sitting and then read it again slowly, savoring every word, every description, every image, as Alice led me on an odyssey through the country. She is so passionate and eloquent that I could almost imagine myself walking alongside her.
In the process she describes how wine is made using “natural” or “organic” techniques. In the fall the grapes are stomped in a long wooden trough; the grape juice, together with skins and pips are poured into Qvevri (enormous terra cotta clay pots, the relative of Roman and Greek Amphorae) to ferment. When fermentation is complete, the grape sediment is removed. The wine is then left to age in the Qvevri, buried in the ground, anywhere from 1-8 years. No pesticides are used on the vines, and there are no yeasts, preservatives or chemicals added, just the grapes going through a natural process and turning out a unique and delicious product.
As she meanders through the vineyards where kisi, mtsvane, rkatsiteli and other grapes grow, Alice Feiring introduces us to many of the local inhabitants – the farmers, winemakers, Qvevri-makers, chefs, who are embracing their roots and their traditions, notwithstanding the efforts of outsiders who arrive with their chemicals, pesticides and so-called “modern” technology to change the traditional ways.
The characters come to life as she describes them – Bishop Davit, the Metropolitan of Alaverdi Monastery who “has made traditional and natural wine a mission of the church;” Zaliko, maker of qvevri in Imereti; Lamara Bezhashvili, “a fierce Kakhetian woman who embodies the spirit of natural qvevri wine.”
Alice celebrates their traditions and their way of life, including their love of feasts (the supra) with wine at its core, presided over by a toastmaster (the tamada). Food after all is a necessary part of wine drinking. And Georgian food is delicious! To tantalize your taste buds, tucked away through the book you will find recipes for such delicacies as Beets with Cherry Sauce or Rose Petal Jam, interspersed in the narrative.
Throughout, Alice Feiring is a passionate and outspoken defender of Georgian natural winemaking, which many believe has healing properties. After all, Georgia is one of the countries where the number of people living into their 100s far exceeds the norm elsewhere.
Alice’s enthusiasm and passion is contagious. By the time the book had been finished for a second time, we couldn’t wait to travel. In fact, we were so excited by what we had read, we ran out to several New York City wine shops to look for bottles of natural Georgian wine.
Imagine the glee when we ran into Alice, together with four of Georgia’s top winemakers – Nikki Antadze, Ramaz Nikoladze, John Okrasvhivili and John Wurdeman --- at a Georgian winetasting at Chambers Street Wines. Needless to say, many bottles were purchased and drunk! “Butchki!” as they say in Georgian before clinking glasses!
For the Love of Wine is Alice Feiring’s latest book; her other works include Naked Wine: Letting Grapes Do What Comes Naturally and The Battle for Wine and Love; of, How I Saved the World from Parkerization. If you love wine, run, don’t walk to the nearest bookstore to get copies!

0 of 0 people found the following review helpful.
Great book about the great wine country-Georgia!
By Martha Townes
This was a well written book that I wish I had had when we visited Georgia last summer. I thought the Reds were the best but I knew nothing about skins, etc. The author nailed the part about the passion of toasting with wine and the supras. It goes on and on. I found the sequence a little hard to follow and some of the areas were not shown on the map. This would be a great book to read before traveling to this wonderful country.

0 of 0 people found the following review helpful.
Qvervri forever
By Cienfugosa
With humor, wine savvy and a deep understanding of the natural world, Alice Feiring writes about Georgia and its incredible wine traditions. I'm fortunate enough to be living in Georgia for a few years, and have found my wine primer!

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[R291.Ebook] Free Ebook Politics in Pacific Asia: An Introduction (Comparative Government and Politics), by Xiaoming Huang

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This lively and accessible new text provides a uniquely broad-ranging introduction to the governance and politics of Pacific Asia.

Thematically structured around the key institutions and issues, it is genuinely comparative in its approach to the whole region. A range of representative countries (China, Japan, Korea, Taiwan, Singapore, Malaysia, Thailand, Indonesia, Vietnam and the Philippines) are used as key case examples throughout and each of them is subject to a detailed full-page country profile.

Key features include:

* 'Pacific Asia in Context' - comparisons with other parts of the world
* 'Country Profiles' - essential facts on Pacific Asian countries
* Boxed, on-page definitions for key terms
* Annotated lists of further reading for each chapter
* Study questions for each chapter
.
This diverse region is a fascinating area for study. Politics in Pacific Asia provides a framework to form a coherent understanding of the region's politics; it balances persistent patterns with the latest developments and general characteristics with the differing cultures, histories and institutions of individual countries.

• Sales Rank: #1887352 in Books
• Published on: 2009-05-15
• Released on: 2009-04-28
• Original language: English
• Number of items: 1
• Dimensions: 9.66" h x .65" w x 7.48" l, 1.25 pounds
• Binding: Paperback
• 256 pages

Review
'Lively, accessible and stimulating... it sets a new benchmark for textbook writing. If there is a prize for the best textbook on Asian politics, one may not need to look beyond this volume for a winner.' - Political Science

About the Author
XIAOMING HUANG is Professor of International Relations at�Victoria University of Wellington, New Zealand.

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0 of 0 people found the following review helpful.
Four Stars
By GWD
Really interesting book. Introduces many new concepts.

0 of 1 people found the following review helpful.
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By Lace
This was a good priced book as well as in great shape. would tell others to buy off Amazon rather then the schools.

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