Planning and Design of Airports, 4/e

Book Description

This edition of this work is updated and expanded to reflect the latest developments in the planning and design of airports. It now features coverage of the geometric design of landing areas, air traffic control systems, airport security, demand forecasting, airport financing, environmental assessment, terminal and ground access system planning, and heliport and vertiport design. It also provides modern approaches to lighting, signing, and marking of airfields. . .paving runways. . .and much more. Planning and Design of Airports is an indispensable reference for civil engineers, transportation engineers, government planners, architects, and all others involved in any aspect of airport planning and design.

Customer Reviews:

Airport planner and engineer's viewpoint - updated.......2000-02-08

The best of its kind for the technical detail. We have most of the other airport and terminal design books on the bookshelf (up to 2005 publication date), but every time we come back to using Horonjeff for the serious design of new airports and extensions. It is also good for layout design by the engineer for terminals - although the architects may want more books. But there is another book - the 2003 book titled Airport Systems - Planning, Design and Management by Richard de Neufville and Amedeo Odoni - that will become the definitive text on airport design for the first part of the 21st century. So you'll need both, especially if you have to deal with the complexity of systems and stakeholders that are part of medium to large size airports.

Horonjeff has got the full set of data tables and charts to enable you to design anything. I seldom need to use the ICAO Manuals on a daily basis, and only use them for cross checking an obscure point. The upgrade from the 3rd edition to the 4th edition was a big one - it metricated much of the book, added in the latest aircraft (late model 737, 767s and ER, and the 777-200), and generally updated the book. Examples of new information are some good stuff on runway/taxiway capacity, and some additions to ACN/PCN. Worth spending the money to update. Essential to buy if starting from scratch. The best textbook for a technical course on Airport Engineering. Needs Airport Systems to have a rounded and modern view of masterplanning (and the successor to masterplanning - dynamic systems planning).

Average customer rating:

Purchase the 2nd Edition
I would give it -5 starts if possible
THIS LISTING IS MISREPRESENTATIVE
comprehensive but jumbled
get the 2nd edition

Psychometric Theory
Jum C Nunnally , and Ira Bernstein
Manufacturer: McGraw-Hill Humanities/Social Sciences/Languages
ProductGroup: Book
Binding: Hardcover

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Similar Items:

Scale Development: Theory and Applications Second Edition (Applied Social Research Methods)
Reliability and Validity Assessment (Quantitative Applications in the Social Sciences)
Introduction to Measurement Theory
Measurement In Nursing And Health Research
Item Response Theory for Psychologists (Multivariate Applications Book Series.)

ASIN: 007047849X

Book Description

The classic text is Psychometric Theory. Like the previous edition, this text is designed as a comprehensive text in measurement for researchers and for use in graduate courses in psychology, education and areas of business such as management and marketing. It is intended to consider the broad measurement problems that arise in these areas and is written for a reader who needs only a basic background in statistics to comprehend the material. It also combines classical procedures that explain variance with modern inferential procedures.

Customer Reviews:

Purchase the 2nd Edition.......2007-06-15

As have several other people who have reviewed this book I would suggest purchasing the 2nd edition. I have both of them sitting side by side on a shelf and use the 2nd edition much more than I use the 3rd one. It is not written in as clear a manner as the 2nd edition and sought to expand beyond psychometric theory which might have watered it down some. I was surprised that the reviewer who wrote that the 3rd edition is longer than the 2nd is correct as the 2nd is thicker - but it does have fewer pages.

I would give it -5 starts if possible.......2007-01-29

This is not really a book. It's more like a composition notebook with definitions of terms on the even-number pages and, you bet, ruled spaces on the odd-number side. So this 103-page "book" is more like 51 pages (translation - you get only 50% for what you paid). Another reviewer said it's more like a Cliff Notes of the original book. Even that is too flattering. It's not even a Cliff Notes because what are on the left side (the even-number pages) are just definitions of terms taken from the textbook. There is no structure or organziation. So you cannot even tell how those terms relate to each other. I was actually looking for a Cliff Notes of Psychometric Theory, so it doesn't bother me it's not the real textbook. But in this form this book is totally useless. I could teach a monkey to copy all the terms and definitions from the textbook and publish a book like this and make some easy money. An outrageous rip-off! Stay away from all books in this Cram101 series. If you "cram" like this you probably will fail all your exams! I'm an college instructor myself and I will never test my students on how good they remember defintions in the book. At the very least learning is about understanding of the relationships between the terms.

THIS LISTING IS MISREPRESENTATIVE.......2006-09-03

I ordered this book, thinking that it was the text book (as the title of the listing suggests). My mistake not to read all the way to the bottom of the page where the true nature of this publication is finally revealed, but SHAME ON AMAZON for listing it this way. There is nothing in the actual listing of this book that suggests that it is merely a "cliffs notes" guide to the book itself. I now have to scramble to find the correct book. When you're looking for textbooks, most of us look at the title, the author and the correct edition, which this listing contains at the very top. Thanks, Amazon, for taking advantage of those of us who are too busy to read the fine print!

comprehensive but jumbled.......2006-03-16

This is one of the landmark Measurement books for Psychologists. It does present a relatively comprehensive treatment of the issues facing researchers when developing measures. Unfortunately, the style of writing used in the book makes it exceedingly difficult for students to extract the useful information from the chapters. Specifically, the chapters are not particularly well organized - particularly the ones with fewer equations in them - often jumping back and forth between topics rather than presenting them more systematically. Furthermore, the prose explaning concepts and equations is basically written in an overly complex and sometimes cryptic style more appropriate for mathematicians and psychologists from the 1950's than for graduate students or modern consumers. I only bought the book to augment the graduate level measurement class that I teach and despite the fact that I have a solid background in mathematics, I grown inwardly every time I have to pick up a chapter in this book and read it.

get the 2nd edition.......2005-02-06

I am in a management PhD program and we have to read this book for our required class in psychometric theory. I totally agree with one of the other reviewers that almost no term is clearly defined by Nunnally and Bernstein in this 3rd edition. The book goes on and on and on talking about validity, reliability, scaling, ... without defining any single term in a concise manner. It is very frustrating!
So, my suggestion for everyone is to get the 2nd edition. I read it and was happily surprised. Nunnally is great, Ira Bernstein messed the 3rd edition up (Nunnally died a while ago and Bernstein was responsible for the writing of this edition). The previous edition is much, much shorter and has better organized chapters that go right to the point (well, relatively speaking ). In addition, I recommend several short Sage books (e.g., factor analysis from Kim and Mueller), which are much clearer.
In any case, this book or better the 2nd edition, is a must have for any social science researcher (or wanna be researcher ).

Lens Design, Third Edition, (Optical Engineering)

Average customer rating:

For practicing lens designers only
Strong Enough For A Physicist, But Made For An Engeeneer!

Lens Design, Third Edition, (Optical Engineering)
Milton Laikin
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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Similar Items:

Modern Lens Design (McGraw-Hill Professional Engineering)
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Optical System Design
Modern Optical Engineering
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ASIN: 0824705076

Book Description

Featuring over 700 references, equations, tables, and drawings, this highly lauded and best-selling reference emphasizes practical designs of over 30 lens systems, including single-element, two-element achromats, air-spaced triplets, projection lenses, and sophisticated wide-angle and zoom lenses. It comes with software that supplies starting solutions for computer optimization programs lens prescriptions and several shorter programs to compute the refractive index of glasses from a variety of manufacturers, create lens drawings, perform zoom computations, do test glass fitting, and calculate third-order solutions for single lenses, achromats, and triplets.

Customer Reviews:

For practicing lens designers only.......2005-03-19

I work in the electro-optics field, with a background in EE and laser resonators. Since I came from a electrical engineering background, I have sought to get more knowledge in the practical field of lens design beyond laser resonators and optical accesories. For that reason, bought this book, as well as the Virendra N. Mahajan series on Optics and Abberrations.
Unlike that series, as well as the Siegman classic on Lasers, this book introduces many equations, terms, and plots, as well as glass catalog items, with very little in the way of introduction, derivation or even an explanation of terms. It is solely meant for a an experienced practicing lens designers only. I was very disapppointed in this book and its review. I found it was reviewed wrongly, for the level at which it should be purchased and read, quite disceptive as a result, even though I wam sure it was not unintentional.

Strong Enough For A Physicist, But Made For An Engeeneer!.......2003-10-12

Lens design by laikin could be describe as a good but incomplete beginner book. Lens design is a quite strong and wide subject but reading this book as first action if you need to design you own imaging lens could save lot of you time and made you SECRETE success.

The biggest quality of that script is the total absence of stupid remind as: what is a wave, do you remember matrix optic, what is a ray, etc. If the lens design is an inexplored world the first chapter will kept you awake. You will recive within 45 pages an emergency course around how we do that today!

Unfortunaly the reverse is a lack of basic principe. Discussion about the aberration shape correction, iterration technique, some of the most common apartus are even forgiven, like the spectrometer. But even if such apartus is not treated i feel safe you will find somewhere else easyly, maybe too much often, the same the same thing taken from Borne and Wolfe (Principe of Optic).

The SECRET of this book is than it not at all a physic book, nobody will give you some explanation about the calculus of MTF or some realted experiment (the basic laboratory tool to compute experimentaly such function are even not describe). You will get a well structured showing you the structure and the arrengement you should have to do that task i our computer world.

The 20 example (7/8 of the whole book) is what you need because lens design I done necessary by iterative process, with the help of anay numerical methode to find out some good compromise! The author will give you a good starting point if you wish to modify an current design.

Book Description

Practical Handbook of Spreadsheet Curves and Geometric Constructions presents a compelling description of how to use commercially available spreadsheets to design and create high-quality graphs of a variety of curves, including classical curves in mathematics. The book contains more than 65 models for the geometric construction of families of curves such as strophoids, pedals, involutes, and others. Models in the book are designed to be interactive so that users can experiment with them to produce eye-catching curves, designs, and patterns. Examples come from calculus, parametric equations, constructions of classical families, and graphs of conformal mappings of a complex variable. The author, a leading authority on spreadsheets, presents innovative techniques for using spreadsheet graphing to generate large families of lines and circles that describe various curves as envelopes of the families. The final chapter of the book discusses the use of commercial spreadsheets to create animation effects. The book is heavily illustrated, with more than 200 graphs and 60 tables. An accompanying 3.5" disk provides 25 selected examples written in Quattro Pro 2.0, Lotus 1-2-3 2.3, and Microsoft Excel 4.0. Designed for both experienced and novice spreadsheet users, Practical Handbook of Spreadsheet Curves and Geometric Constructions will be an invaluable resource for mathematicians, engineers, scientists, and computer scientists. The book will also benefit professional artists and designers interested in learning new techniques for producing mathematical curves using spreadsheet software.

Knowledge Under Construction: The Importance of Play in Developing Children's Spatial and Geometric Thinking

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Knowledge Under Construction: The Importance of Play in Developing Children's Spatial and Geometric Thinking
Daniel Ness , and Stephen J. Farenga
Manufacturer: Rowman & Littlefield Publishers, Inc.
ProductGroup: Book
Binding: Paperback

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Theories of Development (5th Edition)
How People Learn: Brain, Mind, Experience, and School: Expanded Edition
Understanding Reading: A Psycholinguistic Analysis of Reading and Learning to Read
The Scientist in the Crib : What Early Learning Tells Us About the Mind

ASIN: 0742547892

Book Description

Knowledge under Construction is the first to examine young children's spatial and scientific thinking through their architectural constructions with Legos and blocks. The authors' coding system allows teachers and parents to observe and record children's cognitive behaviors related to spatial thinking. In challenging Piaget's thesis, the authors illuminate our conceptions of children's emergent knowledge of space and scientific inquiry, and provide new insight into alternative ways to measure cognitive abilities in children based through block play.

Ruler and the Round: Classic Problems in Geometric Constructions

Average customer rating:

Supplementing Nabrasa's Review
RULER-AND-COMPASS IMPOSSIBILITY PROOFS DEMYSTIFIED

Ruler and the Round: Classic Problems in Geometric Constructions
Nicholas D. Kazarinoff
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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Geometric Constructions (Undergraduate Texts in Mathematics)
Famous Problems of Geometry and How to Solve Them (Dover Books Explaining Science)
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ASIN: 0486425150

Book Description

A number of geometric constructions are impossible to complete with just a ruler and a compass. This book discusses the most famous of these "impossible" constructions. Part I explores ground rules, history, and angle trisection. Part II treats nonconstructible regular polygons and the algebra associated with them. 1970 edition.

Customer Reviews:

Supplementing Nabrasa's Review.......2006-05-18

This review is meant to supplement the interesting and informative review by Professor Frango Nabrasa. I agree with Nabrasa's favorable assessment of the book, but I find his review to be excessively polite or insufficiently critical (I cannot tell which). Either way, I find his review potentially misleading. It will be impossible to follow this review without having read Nabrasa's, which appears on the same webpage.
Although I agree with Nabrasa's substitution of the expression `collapsing compass' for Kazarinoff's unfortunate `collapsible compass', I find the entire discussion of "ruler and compass constructions" to be ahistorical and anachronistic. The Greeks were perfectly clear that geometrical objects were abstract or ideal and that they are in no sense constructed. The constructivistic language used in Euclid must be understood as metaphorical or as referring to an ideal geometer. The idea that an actual geometer could literally construct a line from, say, the center of earth to the center of sun is too absurd. Moreover in the whole of Euclid's ELEMENTS there is no mention of a compass of any kind, nor for that matter of a straightedge. Incidentally, Nabrasa nowhere mentions that Kazarinoff uses the word `ruler' to mean "straightedge" while the majority of writers in the field take a ruler to be a measuring device having graduations--something straightedges lack--even though Kazarinoff mentions on page 59 Archimedes's simple trisection of an arbitrary angle using a "marked ruler".
Nabrasa wrote: "It [the book] has an intriguing and pedagogically effective discussion of the differences between a rather strange idealized device that I call the collapsing compass and the device familiar from high-school geometry that I call the non-collapsing compass. With the collapsing compass one draws a circle given the center and a point on the circumference, but one can not carry the length of the radius to other points to make copies of the circle -- the compass "collapses". But with the non-collapsing compass, once one circle has been drawn it can be copied over and over wherever a center is given. It is not that the collapsing compass can be collapsed or closed after used (as is implied by the word `collapsible' which Kazarinoff uses); rather it must be collapsed, it cannot be kept open any longer than needed to draw one circle. An appendix presents the reader with enough practice using the straightedge and collapsing compass that there will be no uncertainty about which facts are being proved. The practice is not just exercise: it is used to give a cogent and accessible proof of the fact, justifiably called astounding by Kazarinoff, that any figure constructible from given points by means of the straightedge and non-collapsing compass can be constructed with the straightedge supplemented only by a collapsing compass. Moreover, as far as I know, RULER AND THE ROUND is absolutely unique in that it provides a brief but informative discussion of exactly what a mathematical proof is."
In the first place Nabrasa misspoke slightly when he said: "With the collapsing compass one draws a circle given the center and a point on the circumference, but one can not carry the length of the radius to other points to make copies of the circle -- the compass `collapses'." Later on he praises Kazarinoff's proof that indeed this can be done. The problem of course is that instead of "one can not carry the length" he should have said "one can not simply carry the length ... as with the non-collapsing compass".
In the second place Nabrasa gives the impression that Kazarinoff is or might be the first to prove the astounding fact. But everything needed for knowledge of that fact goes back at least to Euclid: the gist of it is in Euclid's proof of Proposition 2 of Book I, as was pointed out to me by Prof. Martin Davis. The only reason I can think of to explain why neither Kazarinoff nor Nabrasa mention this historical point is that they did not know it. The idea that Kazarinoff would risk seeming to take credit he knew was due to Euclid is so contrary to Kazarinoff's character as to be absurd. Incidentally, to be historically accurate, Euclid did not say a word about proving that what could be constructed in one way could or could not be constructed in some other way: there is no comparison of different kinds of constructability anywhere in Euclid's ELEMENTS. Thus, even attributing awareness of the issue to Euclid would be unwarranted.
In the third place Nabrasa is being somewhat less than candid when he says that the Kazarinoff book "is absolutely unique in that it provides a brief but informative discussion of exactly what a mathematical proof is". For one thing "absolutely unique" is an exaggeration: "rare" would be more appropriate. For example, see Durfee 1963, 9. For another, Nabrasa himself thoroughly disagrees with the peculiarly elitist and subjectivist theory of proof espoused by Kazarinoff in the book (per. comm.). In fact, I cannot believe that even Kazarinoff himself would continue to espouse it once its fundamentally unscientific implications were made clear to him. (The reviewer was an admiring colleague and friend of Kazarinoff both at Ann Arbor and at Buffalo.)
The postulate that is most germane to the discussion, Euclid's third, is often translated: "To describe a circle with any center and distance". There are two standard non-constructive ways of interpreting this. First it can be taken in a strong sense as saying that given any point P and any line AB, there is a circle having P as center and having radius equal to AB. This corresponds to "postulating" a non-collapsing compass. Second it can be read in a much weaker sense: given any point P and given any point Q at any distance from P there is a circle having P as center and having radius equal to PQ. This corresponds to "postulating" a collapsing compass. If it is interpreted in the first or strong sense then (augmented by the first two postulates) Euclid's Proposition 2 follows almost immediately and Euclid's proof looks like the work of a puristic and prolix amateur. However, if it is read in the second weak sense then Proposition 2 is far from obvious and Euclid's proof becomes clean and "elegant". The weak reading follows immediately from the strong. I would say that it is obvious that the strong reading does not follow from the weak. -- John Corcoran.
Bibliography
Durfee, W. 1963. Fundamentals of College Algebra. New York: Macmillan.

Euclid. c. 300BCE/1956. Elements. 3 vols. Tr. T. Heath. New York: Dover.

Kazarinoff, N. 1970/2003. Ruler and the Round: Classic Problems in Geometric Constructions. New York: Dover.

Nabrasa, F. 2003. Review of Kazarinoff 1970/2003. Amazon.com.

RULER-AND-COMPASS IMPOSSIBILITY PROOFS DEMYSTIFIED.......2004-03-21

This thoroughly readable and enjoyable book for a general audience was written by an accomplished and respected mathematician, former Professor and Chair at two of the world's best Departments of Mathematics, the University of Michigan and the University of Buffalo. Unlike many other writers of popular mathematics books, Kazarinoff does not betray his beloved field by over-simplification, pontification, or dogmatism. On the contrary, Kazarinoff has deep faith in the intelligence and critical abilities of his readers and he makes ever effort to help them to become genuine participants in a small, but richly fascinating and beautiful corner of mathematics. His aim is to help the readers to gain personal knowledge of several mathematically, philosophically, historically and culturally important mathematical facts. Although these facts can be stated in short simple sentences, they were discovered to be facts only after centuries of intense mathematical research by some of the world's greatest minds. The simplest example is the fact that it is impossible to trisect the angle, i.e. there exists no general construction method or algorithm using only straight-edge and compass for trisecting an arbitrarily given angle. "RULER" in the title refers to the straight-edge; "ROUND" refers to the compass.
The Kazarinoff book, again contrary to the vast majority of popular mathematics books, carefully explains the nature of the mathematical facts to be proved: the relevant fundamentals of geometry, what a construction is, exactly what can and can not be done with the straight-edge, exactly what can and can not be done with the compass. It has an intriguing and pedagogically effective discussion of the differences between what I call the collapsing compass and the non-collapsing compass. With the collapsing compass one draws a circle given the center and a point on the circumference, but one can not carry the length of the radius to other points to make copies of the circle, the compass "collapses". But with the non-collapsing compass, once one circle has been drawn it can be copied over and over wherever a center is given. An appendix presents the reader with enough practice using the straight-edge and collapsing compass that there will be no confusion or uncertainty about which facts are being proved. The practice is not just exercise: it is used to give a cogent and accessible proof of the fact, justifiably called astounding by Kazarinoff, that any figure constructible from given points by means of the straight-edge and non-collapsing compass can be done with the straight-edge supplemented only by a collapsing compass. Moreover, and here, as far as I know, RULER AND THE ROUND is absolutely unique: it provides a brief but informative discussion of exactly what a mathematical proof is.
In each case, Kazarinoff wants the readers to know exactly which fact is being argued for and exactly what a proof of it would be like -- so that the readers can make their own judgments of whether Kazarinoff has actually proved it. On page 5, at the end of the section called "PROOF" he says to the reader concerning the arguments to be presented: "I hope they convince you too". In what other popular mathematics book have you seen such respect for the reader, such openness, such modesty? In what other popular mathematics book have you seen concern for the reader's opinion? This book is an implicit insult to the elitist high-priests of popularization with their breezy enthusiasm, their hocus-pocus "proofs", their mumbo-jumbo, their scientistic dogmatism.
Ironically, it is Kazarinoff's openness the leads him to temper his realism with what to my mind seems to be an unacceptable level of cultural relativism and to temper his egalitarianism with a sometimes hard-edged elitism. Nevertheless, his frankness and independence are truly refreshing and his sincere effort to share with non-experts his profound mastery of the material can only evoke gratitude. Of course, there is room for disagreement about the details and about how well he fulfilled his goals. Judgments on these issues are to some extent subjective and will depend on the background of the person making the judgment.
I first read a library copy of this book in 1970 when it first appeared. A few months later, when I decided to reread it, the library copy was on-loan with a long waiting list. I tried to buy a copy but by then it was out of print. Recently, I went to Amazon.com to try to get a used copy and was thrilled to learn that it is back in print with a 2003 date.
Who should read this book? Mathematics majors should look at this short 130-page book as early as possible because it might reveal to them what subject they have chosen:, or at the very least it will reveal to them what a serious, accomplished mathematician thinks the subject is. Mathematics teachers, especially those who complain that their students do not know what a proof is, might pick up a pointer or two from reading it. Logicians might learn something from it, especially from the section on pages 5 and 6 about what proofs are. Historians and philosophers of mathematics will find many original and thought-provoking perspectives in this book. Kazarinoff does not belong to any of the identifiable "schools" of philosophy of mathematics-he gives no signs in this book of having paid any of them the slightest attention. He is not selling anything and he is not spinning anything. I can not think of a better book for people curious about mathematics. - Frango Nabrasa, Manatee FL

Average customer rating:

Geometric Origami or Slice-Form Pop-Ups
This is a really cool book!

Pop-Up Geometric Origami
Masahiro Chatani , and Keiko Nakazawa
Manufacturer: Japan Publications (USA)
ProductGroup: Book
Binding: Paperback

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ASIN: 0870409433

Customer Reviews:

Geometric Origami or Slice-Form Pop-Ups.......2006-08-14

With the exception of five loop or coil pop-ups, this book, by the creator of Geometric Architecture Masahiro Chatani, contains patterns/templates to make geometric three dimensional objects by fitting together slices of paper with slots in them. Sandy Jackson, the founder of Some Assembly Required, calls this process Slice-Form Pop-Ups. When collapsed the objects behave exactly as do 90 degree pop-ups and take on two dimensional forms.
Anyone interested in geometric models of cubes, tetrahedrons, hemispheres, eggs, a Snow House and a model of Suzhou Prince Regent's Palace should have this book in their collection.

This is a really cool book!.......1999-02-13

This book is really good, it shows the basics and some really neat projects. Pop-ups are a really fun things to do and it isn't a very expensive hobby!!

Geometrical Optics and Optical Design (Oxford Series in Optical and Imaging Sciences)

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Optical Design review

Geometrical Optics and Optical Design (Oxford Series in Optical and Imaging Sciences)
Pantazis Mouroulis , and John Macdonald
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

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Optics | Physics | Science | Subjects | Books

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Similar Items:

Schaum's Outline of Optics
Introduction to Modern Optics
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Modern Lens Design (McGraw-Hill Professional Engineering)
Modern Optical Engineering

ASIN: 0195089316

Book Description

This book is an up to date, introductory treatment of geometrical optics, from the point of view of the future optics practitioner. The principles of gaussian optics and first-order layout and design are emphasized, based on the tracing of two paraxial rays and the associated optical invariant. The radiometry of lens systems is seen to rest on the same concepts. Third order aberration theory is developed in detail. Complete examples of third order design are provided, together with software tools that allow the reader to follow the examples in detail, or to develop other examples independently. Throughout the book, the understanding of fundamental principles is given preference over the mere following of recipes. Several problems at the end of each chapter allow the student to practice and extend the concepts taught. In addition to Gaussian optics and aberrations, the basic principles of several types of optical instruments and components are treated, including gradient index and diffractive optics. A complete yet simple treatment of gaussian beams is included, that is also based on two paraxial rays and the optical invariant. The book concludes with an outline of the optical design process and solved design problems.

Customer Reviews:

Optical Design review.......2007-09-24

This is a great book for the optical design student. The problem sets are challenging and test the student's ability to realize some of the more subtle points in optical design. Great sections on aberration theory.

Geometric Constructions (Undergraduate Texts in Mathematics)

Average customer rating:

Read Courant & Robbins instead
Very Abstract
I wish I could give it more than five stars - a delight!

Geometric Constructions (Undergraduate Texts in Mathematics)
George E. Martin
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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General | Mathematics | Science | Subjects | Books

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Similar Items:

Ruler and the Round: Classic Problems in Geometric Constructions
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ASIN: 0387982760

Book Description

Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations. As specified by Plato, the game is played with a ruler and compass. The first chapter is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never seen. The second chapter formalizes Plato's game and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, using only a compass, using toothpicks, using a ruler and dividers, using a marked rule, using a tomahawk, and ending with a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics. He hopes that readers will learn a little geometry and a little algebra while enjoying the effort. This is as much an algebra book as it is a geometry book. Since all the algebra and all the geometry that are needed is developed within the text, very little mathematical background is required to read this book. This text has been class tested for several semesters with a master's level class for secondary teachers.

Customer Reviews:

Read Courant & Robbins instead.......2007-03-25

I don't like this book. For example, the proof of the key theorem that any ruler-and-compass construction can be carried out with compass alone is 10 pages long and very tedious. There is a much clearer, completely different proof in Courant & Robbins. I find it odd and inexcusable that Martin doesn't even mention this accessible proof. It is true that it uses inversions and that the purest of the pure Euclideans might prefer to avoid it for this reason, but this excuse is not available to Martin since, for example, the proof of Steiner's theorem that any ruler-and-compass construction can be carried out with ruler and one given circle is a half-page analytic magic proof that will have classical geometers turning in their graves.

Very Abstract.......2004-07-21

The book starts off strong with a thorough review of Euclid's constructions complete with explanations of the constructions themselves. Things go down rapidly from there.

Most of the remainder of the book is a very abstract discussion of constructability under various conditions. After the first chapter there are very few concrete constructions performed.

If you're looking for a discussion of the theoretical basis of geometric constructions under a variety of conditions this book is an excellent resource. If you're looking for practical, step-by-step constructions that go beyond Euclid you should look elsewhere.

I wish I could give it more than five stars - a delight!.......2004-07-13

This is a magical book. It took me a long time to find it, but I am glad that I did. I was never taught the nearly lost art of drawing geometrical figures with a straight edge and a compass. We did a tiny bit of paper folding in seventh grade, but I never really understood how to get to the core of the geometry.

This brief book makes it all a delightful game with clear notation and a tremendously logical orientation. It makes it possible for anyone who has a desire to learn this topic to get a solid grounding that will help all their further studies in geometry by providing a foundation in the intuitions of how the geometric proof is actually made.

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