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I congratulate Dr. Primeggia and his fellow scholars on this wonderful piece of work, and encourage readers, especially Italian-Americans (although let's not limit it there), to devour this awesome book.
I hope Dr. Primeggia sees this review because I want to tell him in this rather public forum that those who have participated in the aforementioned course shall never forget his words and his lessons. Many generations of students owe him a tremendous debt of gratitude for what he has given and indeed continues to give.
What a legacy to leave behind. Thank you, Dr. Primeggia!
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The book is valuable not only for harmonic analysis speciallists, but for every mathematician who wants to get well trained in some important and subtle topics of analysis which are shown by this approach as being closely related, leading the reader to a deep and thorough understanding.
The contents of the book are: Some fundamental notions of real-variable theory; Singular integrals; Riesz transforms, Poisson integrals, and spherical harmonics; The Littlewood-Paley theory and multipliers; Differentiability properties in terms of function spaces; Extensions and restrictions; Return to the theory of harmonic functions; Differentiation of functions; Appendices: Some inequalities; The Marcinkiewicz interpolation theorem; Some elementary properties of harmonic functions; inequalities for Rademacher functions.
Includes motivation and detailed explanations for each topic, excercises for each chapter, called "further results", which are small research projects on their own, and extensive references. The printing and the clothbound are exquisite.
This kind of material should be included in every graduate mathematics program. Should read companion "Introduction to Fourier Analysis on Euclidean Spaces" (another jewel) by Stein and Weiss, and later the recent volume "Harmonic Analysis" also by Stein, both reviewed by myself.
Please take a look at the rest of my reviews (just click on my name above).
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This is one book, I must say, contains the best and most comprehensive collection of text organisational (writing) patterns I have seen so far. In a nut shell, understanding and mastering text organisational (writing) patterns at the onset after your initial preview allow you to navigate the given text at very high speeds.
In total, this book introduces eleven (11) patterns:
- enumeration pattern (listing);
- time sequence;
- example pattern;
- cause & effect pattern;
- problem & solution pattern;
- compare & contrast pattern;
- spatial pattern;
- definition pattern;
- process pattern;
- classification pattern;
- description pattern;
In any kind of reading, a quick preview is imperative. This book also introduces you to a variety of preview techniques, just like any other reading technique books.
Understanding the text organisational (writing) patterns makes your preview much more efficient and effective.
All information has shape. Just take a close look at the word INFORMATION. The root word is FORM. So, if you want to read fast, you must learn to shape or form your understanding quickly. If you can see this FORM at the onset, it becomes much more easier for you to understand how the information in the given text is organised. With this understanding, it become easier and also faster for you to pick out the key ideas or details.
The author has done an excellent job in illustrating all the eleven text organisation (writing) patterns. There are also a lot of reading exercises or practices for you to play, explore and experiment with the patterns. They are really worth the cover price for the book.
I teach kids and teens as well as adults how to read at very high speeds. In other words, I help them to survive...and thrive in...the information overload! From my own personal and professional experiences, the purpose of reading is to GATHER INFORMATION...IDEAS to be more precise. I always advise them ...using Pareto' Law...that 80% of the meaning of any given paragraph are often captured in only 20% of the words...these are the key ideas! (In fact, I have read from somewhere...an empirical study...that 4 to 11 % of any given text contains the key ideas!)
Knowing how to discern text organisational (writing) patterns in the first instance gives you the turbo boost to locate the key ideas very quickly and eventually navigate the reading texts at very high speeds.
If you combine these reading techniques with mindmapping or using graphic organisers and/or other visual tools, your ability to organise and synthesise ideas...and generating insights...from all your reading become very powerful.
So, if you want to be a masterful reader, just like me...this book is a must read!
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