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Proofs and fundamentals : a first course in abstract mathematics / Ethan D. Bloch.

[Longhorn Review] Proofs and fundamentals : a first course in abstract mathematics / Ethan D. Bloch.

Material Type: All, Books — Posted on December 12, 2013, 9:59 am

By:

An excellent book - well written, easy to teach from, easy to learn from - good for a two-semester freshman course

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Semigroups and combinatorial applications / Gerard Lallement.

[Longhorn Review] Semigroups and combinatorial applications / Gerard Lallement.

Material Type: All, Books — Posted on December 10, 2013, 9:57 am

By: Retired Professor

The book starts on p.1 with Definition 1.1, of nine lines, in which are mixed six definitions and one theorem: 1. semigroup, 2. identity, 3. zero, 4. right zero but not left zero, 5. idempotent, and 6. commutative; the interlineated theorem states but does not prove uniqueness of an identity or a zero. Certainly not well written. Then on p.3, two different notations for the smallest subsemigroup containing A. Perhaps the Combinatorial Applications are better.

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Power and the Press: Controlling the Media and Information During Conflict

[Longhorn Review] Power and the Press: Controlling the Media and Information During Conflict

Material Type: All, Books — Posted on September 4, 2013, 2:22 pm

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Exactly as reviewed previously. A quick and dirty analysis of various government information/press strategies employed during Vietnam and WWII. Specifically, it analyzes how the government organized various information departments during WWII and the government's failure to organize departments and strategies during Vietnam. Ultimately, why these oversights contributed to Vietnam's strategic failures.

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Lectures in abstract algebra.

[Longhorn Review] Lectures in abstract algebra. vol 1, Nathan Jacobson

Material Type: All, Books — Tags: identity element, partial order, unit element — Posted on April 26, 2013, 10:37 am

By:

p.188 a partial order is asymmetric and transitive, but in
J.M.Howie, Fundamentals of Semigroup Theory, p.13 and in M.Petrich, Introduction to Semigroups, a (partial)order is asymmetric, transitive and reflexive,
p.22, a left identity is called a unit, but in J.B.Fraleigh, A Sirst Course in Abstract Algebra, p.210 a unit is an element which has a multiplicative inverse
p.192 an element which is greater than or equal to every element in the set is called a unit or an identity
why the ambiguity?

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Brás, bexiga e barra funda / António de Alcântara Machado ; organização e introdução, João Valentino Alfredo.

[Longhorn Review] Brás, bexiga e barra funda / António de Alcântara Machado ; organização e introdução, João Valentino Alfredo.

Material Type: All, Books — Posted on February 5, 2013, 4:14 am

By:

This edition of Brás, Bexiga e Barra Funda (1927), a short stories book includes 286 footnotes for interpretation of old slangs, historical references, translation from Italian of many original passages and a 35-page critical study.

Reviewer: João Valentino Alfredo

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Semigroups : an introduction to the structure theory / P.A. Grillet.

[Longhorn Review] Semigroups : an introduction to the structure theory / P.A. Grillet.

Material Type: All, Books — Tags: semigroups; — Posted on June 6, 2012, 9:12 am

By:

At the top of p.1 he states that "there are no other axioms" than associativity; at the bottom he states that "groups are semigroups" even though they have two other axioms. This type of terminology makes monoids be semigroups, and groups be monoids, and all of them be groupoids. This is like a physician identitying him- or herself as a highschool graduate, or Gen. McArthur as a graduate of West Point.

On page 4 line 13 he states "the reader will make sure that ...", and on page 5 line 2 from the bottom he states "the reader will happily verity that ..." - very, very peculiar verbiage for a math book which should be teaching not just listing tasks for "the reader".

On page 33, the term 'regular' is stated but its definition is hidden in the following Lemma - a peculiar mixture of definition and implications.

Reviewer: Retired Prof.

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Their Eyes Were Watching God

[Longhorn Review] Their Eyes Were Watching God

Material Type: All, Books — Posted on February 13, 2012, 3:16 pm

By: Zoran Neale Hurston

I first read this book when I was 16 years old and have been in love with it ever since. The rollacoster of love that the main character, Janie goes through in the novel is tremendous but the love that she gets to share with Tea Cake is spectacular. This book should definitley be added to the list of love and romance for all ages! After you read it, you will never think about love the same again.

Reviewer: Carlotta

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Rebecca / Daphne du Maurier.

[Longhorn Review] Rebecca / Daphne du Maurier.

Material Type: All, Books — Tags: romantic, staff pick — Posted on February 10, 2012, 3:39 pm

By: Daphne du Maurier

“Last Night I dreamt I went to Manderley again.” So begins du Maurier’s 1938 romantic novel, Rebecca. The line also begins the Alfred Hitchcock film version, which was named Best Picture for 1940. This work is usually described as Gothic fiction, but as really good Gothic fiction. Critics credit du Maurier’s storytelling skills. Romantics-at-heart should expect to find a good read (or a film of note) in the surprising adventures of the second Mrs. de Winter.

Reviewer: Larayne Dallas

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Mathematical principles of mental philosophy

[Longhorn Review] Mathematical principles of mental philosophy

Material Type: All, Books — Tags: Mathematics, Nonesuch, Philosophy, Psychology — Posted on December 6, 2011, 4:25 pm

By: Sadao Shibahara.

An attempt to use topology and other mathematical tools, to model human thought.

The prose is dry, presumptious, and overwritten, in the turgid para-academic style favored by pseudointellectuals seemingly the world over. But the book is one of those “almost made it” works that simply must be produced every so often.

It could be studied by a psychologist, statistician, philosopher, mathematician, or even a mystic, and provide numerous tangential ideas or “rabbits” to chase down strange holes of thought.

The author has a few interesting ideas, and a great many uninteresting ones gussied up in this pseudo-academic prose. The author shows _great_ endurance elaborating both kinds of them in occasionally agonizing detail. His approach is organized and methodical overall, even though the prose is far worse than Spencer-Brown’s Laws of Form, most of R. Buckminster Fuller’s work, or anything by Marshall McLuhan, for instance. Like the preceding three authors, if anyone extracts a useful set of concepts or practices from this book, it isn’t the author’s fault….

Shibahara promised a completed work in three volumes. This volume 1 was printed in a run of 500 copies, and one of them somehow finding its way to Texas. This weird book has found a home in Austin.

I am going to skim this strange volume deeply, and I hope he publishes the whole thing some day. Good Luck to him, he’s 87 at this writing.

essdee

Reviewer: Steve Devine

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