Basic Mathematics

by Serge Lang (Author)

14 customer reviews

ISBN-13: 978-0387967875

ISBN-10: 0387967877

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This text in basic mathematics is ideal for high school or college students. It provides a firm foundation in basic principles of mathematics and thereby acts as a springboard into calculus, linear algebra and other more advanced topics. The information is clearly presented, and the author develops concepts in such a manner to show how one subject matter can relate and evolve into another.

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Editorial Reviews

From the Back Cover

The present book is intended as a text in basic mathematics. As such, it can have multiple use: for a one-year course in the high schools during the third or fourth year (if possible the third, so that calculus can be taken during the fourth year); for complementary reference in earlier high school grades (elementary algebra and geometry are covered); for a one-semester course at the college level, to review or to get a firm foundation in the basic mathematics to go ahead in calculus, linear algebra, or other topics.

Paperback: 496 pages
Publisher: Springer (August 13, 1998)
Language: English
ISBN-10: 0387967877
ISBN-13: 978-0387967875
Product Dimensions: 6.1 x 1.1 x 9.2 inches
Shipping Weight: 1.9 pounds (View shipping rates and policies)
Average Customer Review: 14 customer reviews
Amazon Best Sellers Rank: #96,228 in Books (See Top 100 in Books)
- #23 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry
- #80 in Books > Science & Math > Mathematics > Geometry & Topology
- #90 in Books > Textbooks > Science & Mathematics > Mathematics > Algebra & Trigonometry

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Freeze

Legitimate book, great for self study.

July 5, 2012

Format: PaperbackVerified Purchase

This book is ultimately for creating a strong foundation for calculus. "Basic" mathematics can be used lightly, as it's still relatively challenging, but by no means difficult. You'll spend time trying to understand proofs (by the way, he doest an excellent job of incoorporating proofs into the learning process, which is extremely necessary if you want to fully understand math) and figuring out some of the more challenging exercise problems, but the book is by no means painful to go through.

I'll be a junior in high school next year, and was recommended studying this book by a math professor in Belgium (yes, really). The biggest thing to know about math, at least in the earlier levels, is that it is cumulative. You will be absolutely and forever f'ed if you go into Calculus with hardly any knowledge of algebra. That's why, if you find yourself struggling in math, or need to strengthen your foundations, you need to go throuh this book.

It's excellent for self studying, which is what I'm currently doing this summer. When you take this book on at your own pace, and can spend more time on each section as required, and breeze through other sections that you have a firm grasp on, you'll find yourself enjoying the book. Serge Lang was an excellent mathematician (was... only because he is dead) and his books are well written and devoted to helping you understand the material.

Remember though, that just because the book claims to be covering basic mathematics, that you won't be challenged. It can be tough, and especially when you're at the high school level, the mathematics won't seem like they're "basic", but more like, "hey, I just learned that last year/this year/whenever." It's ultimately a wonderful book if you're looking to strengthen the foundation of your mathematic ability, and Lang also includes a brief section after the first chapter about how you should logically examine math, which is invaluable.

Math, to a lot of people, is pointless and not fun. It's that way because of botched U.S. public education, a lack of good/inspiring math teachers, and partly due to a lack of motivation in students. Pick up this book, maybe make a schedule for it, and just sit down and DO math. After a while, you'll start to see the beauty of something that is so logical and amazing, something that has been the collective work of various genius human minds, collaborating to further mathematics, that you'll pick up a passion for math. Math is almost like a language. You can choose to go through life in ignorance, sitting by and listening to others communicate with eachother, looking on in awe, wondering what beautiful and inspiring things they could be saying, or you can sit down, get to work, and be right there with them, able to communicate in a logical and correct language that governs the universe.

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Volvokid

Great math text!

May 14, 2017

Format: PaperbackVerified Purchase

I love the way this book is written! It really circumvents a lot of the dry technical material that you see in a lot of math textbooks but still gives you the most necessary information. The exercises are great for practicing the skills covered. This book is good to have on reference as well as to use for a prep for higher level math like calculus.

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Amazon Customer

Bought as a gift for my husband to brush up ...

December 11, 2015

Format: PaperbackVerified Purchase

Bought as a gift for my husband to brush up on his math skills, he was very impressed with the readability of this book.

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Mary J Sixta

Awesome book really helpful to supplement my mathematical knowledge and textbook

April 24, 2014

Format: PaperbackVerified Purchase

If you are going back to college get this book it covers almost everything you need to know minus some trig. and things like summations. Also great if you want to get an idea of what proofs are and a feel for more rigorous math. Almost every subject is covered more succinctly and clearly that it will be the mast majority of professors and textbooks and cheaper too.

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Great Math Text

May 13, 2014

Format: PaperbackVerified Purchase

This text is awesome. It has wonderful explanations of mathematics ranging from simple addition/subtraction properties to working with polar format. Great introductory text for mathematics. Lang is clear and consistent.

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Tyler Savage

Good Content

March 28, 2017

Format: PaperbackVerified Purchase

Serge Lang has written one of the better books out there for learning high-school level math well. The explanations are clear and the problems are graded from easy to hard well. It covers everything you would need to know to start higher-level math studies. Some of the problems are really hard and require a good deal of thought to solve. I would recommend this book to anyone, but especially future or current math majors. The reason that this book gets 4 stars is because several sections have few answers in the back of the book.

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Amazon Customer

Five Stars

February 22, 2018

Format: PaperbackVerified Purchase

Great condition from a great teacher.

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Amazon Customer

Five Stars

August 25, 2017

Format: PaperbackVerified Purchase

great book by Lang.

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Most recent customer reviews

Amalfitano

Solid reference

Very good as a reference book for all those subjects I studied long ago. But unlike some other books I haven't found this one to be "fun.Read more

Published 1 year ago

Keith Grubbs

Four Stars

This book helps fill the gap between first year Algebra to first year Calculus.

Published on November 26, 2014

Lucas

This is how math looks like.

Never really learned math until studied using this book. Awesome. Serge Lang make everything become simple and intuitive.Read more

Published on November 24, 2014

FePe

A nice introduction to mathematics

Serge Lang died September 2005, and it was a great loss for many people; he has been a prominent mathematician, who has published many book and articles.Read more

Published on January 16, 2006

N. F. Taussig

Preparation for college mathematics from a mathematician's standpoint.

Serge Lang's text presents the topics that he feels students should understand before commencing their study of college mathematics.Read more

Published on October 30, 2005

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