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Showing posts with label Course. Show all posts
Showing posts with label Course. Show all posts

Measure Theory: A First Course

Great Price "Measure Theory: A First Course" for $32.00 Today



Mathematics is like mountaineering: its hard to get to the summit, good mountaineers real teachers aren't easily found and, at the end, all newcomers will search for help in the books. Kubrusly never forgets he once was at the mountain's basis and the hardway he tooks. This is the kind of book he wondered in his Math beginning. This book is something like a very friendly version of "Elements of Integration and Lebesgue Measure" from Bartle. Beside clarity, Kubrusly has honesty: he don't proposes problems that can't be solved by a real interested student and when the things get more difficult, he helps with hints. There are a lot of books and pedantics authors who puts theorems, from others books, maked-up like problems. Luckily for the students, there are good Math writers, like Kubrusly, struggling for teaching.


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Price : $57.95
Offer Price : $32.00



Measure Theory: A First Course Overviews

This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intention is to introduce Measure Theory to a new generation of students, whether in mathematics or in one of the sciences, by offering them on the one hand a text with complete, rigorous and detailed proofs--sketchy proofs have been a perpetual complaint, as demonstrated in the many Amazon reader reviews critical of authors who "omit 'trivial' steps" and "make not-so-obvious 'it is obvious' remarks." On the other hand, Kubrusly offers a unique collection of fully hinted problems. On the other hand, Kubrusly offers a unique collection of fully hinted problems. The author invites the readers to take an active part in the theory construction, thereby offering them a real chance to acquire a firmer grasp on the theory they helped to build. These problems, at the end of each chapter, comprise complements and extensions of the theory, further examples and counterexamples, or auxiliary results. They are an integral part of the main text, which sets them apart from the traditional classroom or homework exercises.

JARGON BUSTER:
measure theory
Measure theory investigates the conditions under which integration can take place.
It considers various ways in which the "size" of a set can be estimated.

This topic is studied in pure mathematics programs but the theory is also foundational for students of statistics and probability, engineering, and financial engineering.

Key Features
* Designed with a minimum of prerequisites (intro analysis, and for Ch 5, linear algebra)
* Includes 140 classical measure-theory problems
* Carefully crafted to present essential elements of the theory in compact form

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Customer Review


Use Bartle instead - thanos tsouanas - Athens, Greece
If you put this book right next to Bartle's book, you will soon realize that Kubrusly's book is actually Bartle in disguise. So get Bartle's book which is excellent, and avoid this one which seems more like a rewording of Bartle's. Why reword Bartle? Bartle has chosen his words and his overall exposition carefully. Kubrusly even leaves for the reader the same things that Bartle does.

2 stars in stead of just 1, because he is decent (and bold) enough to cite Bartle in each Chapter's "Suggested Reading" Section.


Wonderfull book - Renato A. A. Costa -
Very good book.
This is the kind of book that if you have the patience of reading it all with care you can understand it all. The proofs are well written without skipped steps so that you can really understand.



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Calculus Deconstructed: A Second Course in First-Year Calculus (Mathematical Association of America Textbooks)

Calculus Deconstructed: A Second Course in First-Year Calculus (Mathematical Association of America Textbooks) Review










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Overviews

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basica analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject.

No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

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