Showing posts with label precalculus. Show all posts
Showing posts with label precalculus. Show all posts

Tuesday, June 26, 2012

Mastering Technical Mathematics, Third Edition Review

Mastering Technical Mathematics, Third Edition
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I'm a professional programmer. I didn't go to college. I didn't even graduate high school. I've been writing code professionally for a long time now and I get well paid for it. Recently, I interviewed for a job and I nailed it. But, I didn't get the job. Why? Not because I failed the coding tests or that I wasn't a good match for the team. It wasn't even because I lacked a degree. It was because I lacked the common foundation of knowledge that high school graduates and CS majors have. Although I had never had a problem with it before, I've reached a point in my career where I'm qualified for jobs that expect more than just a good resume and solid interviewing skills. I faltered when it came to some mathematics and my algorithms were elementary at best. Being able to write code was no longer enough. I needed to go back and recapture a CS background using the same method I have used to teach myself everything else: books.
The first thing I discovered is that it is nearly impossible to find a book on algorithms that doesn't already assume you have a full high school mathematics education. The second thing I discovered is that it is nearly impossible to find a book on mathematics that covers it all, from the ground up. I searched and searched Amazon and, oddly enough, this book never came up. I just happened to be wandering through a local book store and saw it on the shelf. I bought it on impulse and I am glad that I did.
This book is precisely what someone like me needs. It starts off at astonishingly basic levels (what? really? I need a book to tell me how addition works?) and then moves quickly up through the complexities of increasingly advanced mathematics. The writing style is conversational which is good but it can also be bad. Coming from an English and linguistics background, I can't help but cringe when I see unnecessary exclamation points in text and this book has its fair share. That isn't so much a negative toward the book as it is just a biased observation.
Mastering Technical Mathematics covers a lot of ground in a short period of time and the author wastes as little page space as possible. Sometimes this is good; sometimes this is bad. Often, the explanations are numbingly terse or convoluted. A few re-reads of a paragraph helps the meaning crystallize but, in an apparent effort to keep the page count down, the author sacrificed for brevity sections that might have been better aided by a little more depth. Again, this isn't necessarily a negative toward the book. It just means you might have to work a little harder from time-to-time for full comprehension. Nothing wrong with that.
The reason why I am not giving this book five stars is partially because of the sometimes confusing explanations but mainly because of the charts and graphs which are, for the most part, poorly rendered and, worse, often completely inexplicable. This wouldn't be a huge deal except that nearly every page contains some kind of figure or illustration. This is good because it breaks up the text, keeps the whole affair feeling breezy. This book definitely does not feel like some weighty tome on the World's Most Boring Subject and all of those graphs and charts are partially to blame for the levity. I'm glad that they're there; I just wish that they were more clear. Then again, maybe it's just me.
The biggest accolade I can give this book, other than that it's clear the author really enjoyed writing it, is that it, along with a few other books and a newly-purchased HP 50g Graphing Calculator (RPN 4 LIFE!@$) has instilled in me a love of mathematics. I used to hate math. My favorite phrase was that I'm mathematically dyslexic. I'm not. I was just intimidated. This book has helped dismantle that intimidation. Now I'm not just learning all of the mathematics I had missed, I'm loving math. Absolutely love the stuff.
In the long run, this book will be partially responsible for me reaching the next level of my career. I've paired it with Forgotten Algebra (which is an excellent workbook) and, for algorithms, Algorithms in C++. This final book finally gives me a reason to get my hands dirty with C++.
Highly recommended.

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A thorough revision of the classic tutorialof scientific and engineering mathematics

For more than fifteen years, Mastering Technical Mathematicshas been the definitive self-teaching guidefor those wishing to boost their career by learning theprinciples of mathematics as they apply to science andengineering.Featuring the same user-friendly pedagogy, practicalexamples, and detailed illustrations that have made thisresource a favorite of the scientific and technical communities,the new third edition delivers four entirelynew chapters and expanded treatment of cutting-edgetopics.

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Wednesday, April 4, 2012

Geometry DeMYSTiFieD, 2nd Edition Review

Geometry DeMYSTiFieD, 2nd Edition
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because of the topic coverage. I picked this up because, though a math teacher, I really don't like Geometry. Never have. This book covers some of what a high school student would need in just a few chapters. So, Why aren't I recommending it to students needing help? Because the author completely skips proofs, which is what most students are having trouble with. It also has no chapter dealing with circles and theorems related to them. What it does cover it covers in a highly interesting and original way (why does a stool have three legs instead of four?). It is also filled with topics not covered in a high school geometry course, but which are very interesting on their own. Given the authors other books' titles, this is perhaps "geometry for electricians and hobbyists". If you are someone with bad memories of geometry, but you would like to try revisiting it, then this is highly recommended. It would also be a good outside source for students doing well in Geometry but wanting to read about some higher level topics (including 3 - 4 - and higher dimensional geometry.) The book has loads of multiple choice test questions, so you can see how well you are understanding what you are reading, but it has no detailed solutions in the back--just the correct answers. (techinical point: readers should know that the author teaches polar coordinates "backwards" from the way we teach it in Trigonometry. The form is (r, theta), NOT (theta, r).)

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A new ANGLE to learning GEOMETRY
Trying to understand geometry but feel like you're stuck in another dimension? Here's your solution. Geometry Demystified, Second Edition helps you grasp the essential concepts with ease.
Written in a step-by-step format, this practical guide begins with two dimensions, reviewing points, lines, angles, and distances, then covers triangles, quadrilaterals, polygons, and the Cartesian plane. The book goes on to discuss three dimensions, explaining surface area, volume, vectors, Cartesian three-space, alternative coordinates, hyperspace, and warped space. Detailed examples, concise explanations, and worked-out problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.
It's a no-brainer! You'll learn about:
Plane geometry and solid geometry
Using a drafting compass and straight edge
Solving pairs of equations
Working with vectors in three-space
Polar coordinates
Cartesian n-space

Simple enough for a beginner, but challenging enough for an advanced student, Geometry Demystified, Second Edition helps you master this fundamental mathematics subject.

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Tuesday, December 20, 2011

Schaum's Outline of Trigonometry, 4th Ed. (Schaum's Outline Series) Review

Schaum's Outline of Trigonometry, 4th Ed. (Schaum's Outline Series)
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I found the book very useful for brushing up one's knowledge of trigonometry.It gets down to the point right away without wasting any time on unnecessary theory.After all, its your problem solving ability that counts and not how well you know the theory.:)
What I like most about this book is that it treats the subject matter from a student's point of view (like it teaches you how to get the answer using a calculator STEP by STEP.....it actually tells you which buttons to push).Also, throughout the book ,the application of trigonometry in surveying, construction,astronomy and air-navigation is emphasized.
I recommend this book for anyone who's taking computer science/engineering/technology courses in college.

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Schaum's has Satisfied Students for 50 Years.

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For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

Schaum's Outlines-Problem Solved

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This thorough review of standard college courses in trigonometry has been updated to reflect the latest course scope and sequences. The new edition includes expanded explanations of the aspects of each periodic function, and updated information for the curve graphing section.


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Thursday, December 8, 2011

Schaum's Outline of PreCalculus, 2nd Ed. (Schaum's Outline Series) Review

Schaum's Outline of PreCalculus, 2nd Ed. (Schaum's Outline Series)
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I bought this book in order to learn precalculus because we skipped most of it in my class in order to goto Calculus. Initially the book started out slow because it talked about basic algebraic principles and such, but it got better. This book, I would say, is more for math-oriented students. I myself am not great in math, but spending time with the problems in this book is well worth it. I spent 27 minutes on one problem, and I understood it afterwards, and the satisfaction is great! But yes, this book has very good explanations and almost always never leaves anything out. The only thing I did not like about this book is it skipped some steps which made me take more time with a given problem.

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Schaum's Outline--Problem Solved

For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

More than 100,000 sold!

This book has been updated to reflect the latest course scope and sequence. Review problems have been added after key chapters as well as more supplementary practice problems. An informal level discussion of limits, continuity, and derivatives has also been added, as well as additional information on the algebra of the dot product, exponential form of complex numbers, and conic sections in polar coordinates-plus business applications such as average rate of change, price/demand and science applications, including projectiles.

An enhanced ebook is now available with 30 videos of professors showing you exactly how to solve precalculus problems! Select the Kindle Edition with Audio/Video from the available formats.


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Wednesday, July 27, 2011

Schaum's Easy Outline of Principles of Economics Review

Schaum's Easy Outline of Principles of Economics
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I like it. It's just what it claims to be, a crash course in the principles of economics. Good book to have around.

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Friday, July 15, 2011

Pre-Calculus Demystified Review

Pre-Calculus Demystified
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I am a newly certified teacher of secondary Mathematics (grades 7-12) in New York State. I am in the processes of reviewing Pre-Calculus.
So I see this book through two lenses.
1.) As a student: It is a dramatic relief to have each and every answer correct. I wouldn't underestimate the comfort of knowing what you are reading is 99.99% to 100% correct. Having used Schaum's, which can be peppered with errors, this is a welcome relief.
2.) As a teacher: Every explanation is well written and crystal clear. We are brought from the simple to the complex. (Of course, I've had to read some parts multiple times to 'get it.') Ms. Huettenmueller has the extremely rare combination of brilliant communication skills, aka pedagogy, along with mastery of content.
This brings the reader to the conclusion that the author (and the publisher) really cares that you learn this 'stuff.' A sense of a
pursuit of exellence comes through the pages.

I am sure Ms. Huettenmueller is a GIFTED teacher!
As a new teacher, this is someone I'd love to emulate.

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Packed with practical examples, graphs, and Q&As, this complete self-teaching guide from the best-selling author of Algebra Demystified covers all the essential topics, including: absolute value, nonlinear inequalities, functions and their graphs, inverses, proportion and ratio, and much more.

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