Validation of Exceptional Longevity (Odense Monographs on Population Aging Vol. 6)

Book Description

Students will find all the information covered in the standard textbooks--and more--explained clearly and concisely in this powerful study tool. Unusually detailed, it elucidates all the most difficult-to-grasp concepts that class studies and texts sometimes gloss over. The hundreds of problems with fully explained solutions illuminate important points and teach students sound problem-solving skills. Ideal, also, for independent study.

Customer Reviews:

Differential Geometry review.......2007-01-04

I have found this to be an excellent addition to my library.

Good as a basic textbook and a source of solve problems.......2006-06-05

This book is intended to assist upper level undergraduate and graduate students in their understanding of differential geometry, which is the study of geometry using calculus. Usually students study differential geometry in reference to its use in relativity. I personally have a rather oddball application for the subject - modeling of curved geometry for computer graphics applications. The fundamental concepts are presented for curves and surfaces in three-dimensional Euclidean space to add to the intuitive nature of the material.
The book presumes very little in the way of background and thus starts out with the basic theory of vectors and vector calculus of a single variable in the first two chapters. The following three chapters discuss the concept and theory of curves in three dimensions including selected topics in the theory of contact.
Great care is given to the definition of a surface so that the reader has a firm foundation in preparation for further study in modern differential geometry. Thus, there is some background material in analysis and in point set topology in Euclidean spaces presented in chapters 6 and 7. The definition of a surface is detailed in chapter eight. Chapters 9 and 10 are devoted to the theory of the non-intrinsic geometry of a surface. This includes an introduction to tensor methods and selected topics in the global geometry of surfaces. The last chapter of the outline presents the basic theory of the intrinsic geometry of surfaces in three-dimensional Euclidean space.
Exercises are primarily in the form of proofs, and there are plenty of worked examples. Since the examples are kept to no more than three dimensions, the outline contains plenty of good instructive diagrams that illustrate key concepts. This Schaum's outline has quite a bit of instruction in it past the bare required minimum, but you might still want a good primary textbook. My personal favorite is Pressley's "Elementary Differential Geometry". Overall I find this to be a very good outline and source of solved problems on the subject and I highly recommend it.

Differential Geometry - A Schaum's Outline Series.......2000-06-25

As with all of the Schaum's Outline Series, this book is particularly useful if the readers intent is to gain a working knowledge of the subject. The subject of Differential Geometry is no exception. Dr. Lipschultz has done an excellent job of communicating the essential aspects of differential geometry to the reader. The book assumes a fairly low level of mathematical ability having calculus as the primary prerequisite. From this humble beginning, Dr. Lipschultz takes the reader through the necessary discussions of vector functions, curvature, fundamental forms, and tensor analysis. Given the theoretical nature of the subject, Dr. Lipschultz has included most of the theorems and associated proofs necessary for a general understanding of the subject. However, this book is not a substitute for a serious study of differential geometry. In addition most of the problems are limited to two dimensional surfaces and this reader would have enjoyed a more adventurous investigation of higher dimensional spaces. Like all Schaum's series, the text is chock full of problems and their solution. I recommend this book for anyone interested in quickly gaining a working knowledge of the subject.

Average customer rating:

Caution - There are Mistakes
Recommended for one chapter
Excellent if you need a refresher course in geometry
Review and practice
Good for drilling but not for teaching

Schaum's Outline of Geometry
Barnett Rich
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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ASIN: 0070527660

Book Description

Three million high school students and 172, 000 college students enroll in geometry classes every year. Schaum's Outline of Geometry, Third Edition, is fully updated to reflect the many changes in geometry curriculum, including new terminology and notation and a new chapter on how to use the graphing calculator.

Customer Reviews:

Caution - There are Mistakes.......2007-10-01

I bought this book to use with my daughter for added drill and review of Geometry and was shocked to find an inaccurate mathematical statement after the Commutative Law of Multiplication (3a X 5 = 5 X 2a = 10a) and three errors in the solutions provided to practice questions in the first eight pages. I haven't ventured further, but based on my experience thus far, I will need to review every example and problem for accuracy, something I hadn't planned to do and shouldn't need to do.

Recommended for one chapter.......2007-06-16

I encourage you to buy "Geometry Made Easy" over this one, but yet you need this book for the chapter on transformations because the former doesn't include it. The biggest reason for discouraging the use of "Schaum's Outline of Geometry" is that it's so unmotivated and clustered up with lots of details. If this book is going to come with a new edition, it needs to be spaced out with a lot of whitespace around the words. Give the details a breathing space. A good mathematics book is the one that motivates, not strangle the reader. Unfortunately, the details threw "Schaum's Outline of Geometry" into a quagmire.

Excellent if you need a refresher course in geometry.......2007-03-17

I found myself needing to review geometry for the SAT and needed a succinct, clear, and accurate guide. This outline has more than exceeded my expectations. By the time I worked through most of the problems in this book, my geometry skills had doubled and the SAT geometry was relatively easy.

I highly reccomend this book as either a refresher guide or as a textbook.

Review and practice.......2006-11-10

This is a great way to reivew principles and then use the problems for additional practice. Some problems are fully worked, others have only the answer listed. Great addition for someone who learns best by doing problems.

Good for drilling but not for teaching.......2006-11-05

We know from the book's success and from other reviewers that it is good for preparing students who need many easy exercises to drill for a rudimentary exam in geometry. I want to discuss it from the point of view of teaching a student who is interested or could become interested in learning geometry.

In a rigorous presentation of geometry one starts by treating "point", "straight line" (and "plane" in solid geometry) as undefined terms. One states their assumed properties as postulates. One defines all other objects in geometry in terms of these and one derives all other assertions about about geometric objects by logical reasoning alone; one may not use without proof even what is obvious from looking at a figure, e.g., that if two points A, B are inside a triangle then the entire line segment AB is inside.

The teaching of geometry in high school has long been intended as an example of rigorous reasoning but to fully adhere to the above standard would make a course too subtle, long and boring. The challenge for the writer of a school textbook or a curriculum is to present a reasonable amount of geometry, especially geometry needed in applications, and to loosen the standards of rigor by not dwelling much on rigorously proving what is obvious.

How does this book handle the problem? A thin veneer of rigor appears in some places, to be abandoned after a few paragraphs. On pp. 64-65 the book stresses that "point", "line" and "plane" are undefined terms. But it immediately goes on to tell us that if a line segment is divided into parts the length of a line segment is the sum of the lengths of its parts. So, "line" is an undefined term but the book feels free to talk about its segments and their lengths without further explanation.

On pp. 85-86 the book lists 10 postulates of algebra. They are all instances of the fact that in an algebraic expression we may replace any quantity by one that is equal to it. The distributive, associative and commutative laws are not among the postulates but of course the book does not hesitate to use those. After the 10 postulates of algebra come the geometry postulates 11-19. Postulate 14 says that one and only one circle can be drawn with a given point as center and a given radius. Since a circle has been defined on p. 67 as the set of all points at a given distance from the center, it should have been obvious to the authors that there is no need to state this as a postulate. Postulate 15 says that any geometric figure can be moved without changing its size or shape. Needless to say, nowhere was "moving" defined in terms of the undefined concepts point and line.

In sum, there are a few pages in the book where the student is told that geometry is built up by deductive reasoning but they seem to have been inserted as an afterthought and bear no relation to the bulk of the book. With the logic of the book muddled, how are students to know what they can use in a proof? Here "principle"-s come to the rescue. The book contains about 200 "principles". Examples: principle 6 on p. 146: The diagonals of a parallelogram bisect each other. Principle 4 on p. 153: the median of a trapezoid is parallel to its bases and its length is equal to one half the sum of its bases. A few pages later the student is asked to prove some trivialities and if he guesses that of the countless "principles" he has read, the ones he needs to use are among the ones immediately preceding the problem, he will be right.

How far does the book get into geometry? Let A,B,C,D be points on a circle and E be the intersection of AC and BD. Facts about the angles and lengths of this configuration are given much space and, together with Pythagoras' Theorem, represent the limits of the book's scope. As another reviewer noted already, the cover promises solid geometry but the book has none.

Redeeming features of the book are chapter 15, pp. 291-305, which gives the basic ruler and compass constructions and chapter 16, pp. 306-317, which lists and properly proves the theorems of substance in the book. The way I see it, these 27 pages contain the mathematics of the book; the rest is drill.

If your student has or could develop an interest in math, science or technology, the geometry book for him/her is Harold R. Jacobs: Geometry (W.H. Freeman). Math has been my preoccupaton for 60 years but it was still a revelation that geometry could be presented in such a stimulating and attractive manner. There is no straying from or diluting the subject as in other big colorful textbooks. The price is high but worth it. [...]

Average customer rating:

Very good
OK as a supliment
Great resource for college-level math students...
If you are a good researcher, this is a good resource!

Schaum's Outline of General Topology
Seymour Lipschutz
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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ASIN: 0070379882

Book Description

With more than 30 million copies sold, Schaum's are the most popular study guide on the planet. Mathematics students around the world turn to this clear and complete guide to general topology for its through introduction to the subject, including easy-to-follow explanations of topology of the line and plane and topological spaces. With 650 fully solved problems and hundreds more to solve on your own (with answers supplied), this guide can help you spend less time studying while you make better grades!

Customer Reviews:

Very good.......2006-06-30

The book is wonderful, recommends to all. Very good

Geraldo Tavares -Campinas/SP- Brasil.

OK as a supliment.......2006-01-27

If you're taking a basic topology class (or any other abstract math class), it is usefull to have other books to reference. This book was only OK as a supliment. I found that you had to be careful the definitions, as some topologists will axiomize ideas differently (I found this happened the most when dealing with seperation axioms). I found that there are a few dover books out there that are a little more readable (Gemignani's, Mendelson's and Willard's books all come to my mind). This book won't hurt, but there are other options within it's price range.

Great resource for college-level math students..........2005-01-08

I wish I had known about this summary when I was taking my Fundamental Concepts in Math course at the university. I would have done a lot better! I agree with the previous reviewer about adding REA's Problem Solver book for a complete set.

The topics covered include: (1) Sets and relations, (2) Functions, (3) Cardinality and Order, (4) Topology of the line and plane, (5) Topological Spaces, (6) Bases and Subbases [sic], (7) Continuity and topological equivalence, (7) Metric and normed spaces, (8)Countability, (10) Separation axioms, (11) Compactness, (12) Product spaces, (13) Connectedness, (14) Complete metric spaces, and (15) Function spaces. There is an appendix about Properties of real numbers.

This is a technical book and not for a casual reader. I believe this will be difficult for a teach-yourself-to-know reader, unless the reader has considerable math experience.

Another book that I found helpful in Fundamental Concepts (not simply Topology) was Courant et al., What is mathematics? 2nd ed.

My Fundamental Concepts professor taught the course with only lecture notes, and I was completely lost. Had I had this outline, I think I would have done better, because this Outline has a number of solved problems and exercises.

Good luck.

If you are a good researcher, this is a good resource!.......2002-07-23

If you are taking an introductory Topology course, I recommend using this book. It is a little old, and some of the problems are not solved, but it will offer you an advantage when using your class text. You should use Lipschutz's book together with REA's Topology Problem Solver to give you full study advantage when taking on this most difficult subject. With some moderate study, you should do better on your assignements!

Schaum's Easy Outline of Geometry (Schaum's Outline Series)

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Schaum's Easy Outline of Geometry (Schaum's Outline Series)
Barnett Rich
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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ASIN: 0071369732

Book Description

Boiled-down essentials of the top-selling Schaum's Outline series for the student with limited time

What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form.

Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.

Designed to appeal to underprepared students and readers turned off by dense text
Cartoons, sidebars, icons, and other graphic pointers get the material across fast
Concise text focuses on the essence of the subject
Delivers expert help from teachers who are authorities in their fields
Perfect for last-minute test preparation
So small and light that they fit in a backpack!

Average customer rating:

Schaum's Outline of General Topology
S. Lipschutz
Manufacturer: MCGRAW-HILL BOOK COM
ProductGroup: Book
Binding: Paperback
ASIN: B000K29HB6

SCHAUM'S OUTLINE OF THEORY AND PROBLEMS OF GENERAL TOPOLOGY

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SCHAUM'S OUTLINE OF THEORY AND PROBLEMS OF GENERAL TOPOLOGY
Seymour Lipschutz
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback
ASIN: B000HFE20C

Theory and Problems of General Topology (Schaum's Outline Series)

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Theory and Problems of General Topology (Schaum's Outline Series)

Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback
ASIN: B000GR4P3K

SCHAUM'S OUTLINE SERIES - THEORY AND PROBLEMS OF GENERAL TOPOLOGY

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SCHAUM'S OUTLINE SERIES - THEORY AND PROBLEMS OF GENERAL TOPOLOGY
LIPSCHUTZ SEYMOUR
Manufacturer: MCGRAW HILL
ProductGroup: Book
Binding: Paperback
ASIN: B000PGLMHE

Book Description

Op Amps & Linear Integrated Circuits covers the fundamental and practical applications of amplifiers and linear integrated circuits while allowing readers to explore an array of interesting and useful topics such as non-linear circuits, oscillators, regulators, integrators and differentiators, active filters, and analog-to-digital and digital-to-analog conversion. Computer simulations via MultiSIM(R) are integrated throughout to provide experiences similar to those encountered in industry. The book's broad yet deep coverage presents a wide range of practical circuits and latest applications in sufficient detail to ensure a thorough knowledge of the circuit application.

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