Book Description
Robert J. Lang, one of the world's foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the heart of the centuries-old art of origami.
Origami novices will appreciate the organization of the book, which begins with easy techniques and progresses to deep and powerful tools for design, all based on simple, intuitive concepts like grafting, circle packing, and assembly of tiles.
Both novices and aficionados will find detailed, step-by-step instructions for previously unpublished models, including the famous "Black Forest Cuckoo Clock."
Customer Reviews:
Not an origami recipe book.......2006-01-13
Dr. Lang delves into the hows and whys of origami design exploring origami the way Alton Brown explores food and cooking.
The instructions for creating beautifully made koi decorating the cover are not included in their entirety, notably excluding the sequence for creating the scales. Instead, Lang describes the principles and techniques for creating textures on paper, leaving the creation of the fish as an exercise for the reader.
If you're looking for a recipe book for cool origami designs, then this is not the book for you. Rather, this book is for anyone curious about just how the heck someone makes a cuckoo clock out of one uncut sheet of paper.
A truly incredible book!.......2005-09-28
By far and away the most comprehensive book on origami design and theory that I have every seen. There are thousands of books containing origami models, but few, if any, actually take the time to explain how the models were created in the first place. If Robert Lang didn't already hold a Ph.D., this book could serve as a dissertation. In addition to the theory and concepts of origami model design, this book also contains excellent models that demonstrate the principles covered in each chapter. I have always enjoyed folding Robert Lang's models in the past. They are challenging and extremely rewarding. I am a very good techincal folder but I could never really create my own models. This book has started me on my own path towards creating my own origami models to fold. While this book certainly could be useful to beginning origami folders, it best serves intermediate to advanced enthusiasts.
A great origami book.......2005-09-28
This is one of the best origami books ever written. Robert Lang is known for producing complex origami models and here he teaches the mathematical thought process behind the creation of these pieces. The book contains a number of chapters covering different methods of producing particular types of origami works and then each chapter ends with a series of advanced origami models for you to make with complete diagrammatical instructions.
The book is a wonderful instruction manual on how to create original origami designs but it also includes many sets of instructions for origami models which have never before been published. The exquisite Koi carp on the front cover (which I have seen in real life) is included as is the frog, and the infamous Black Forest Cuckoo Clock instructions are included at the end of the book. Don't try to make these pieces with ordinary paper - you will want to use very fine bank weight paper, tissue foil or wet folding with Canson or Elephant Hide paper to get good results.
This volume is an essential addition to any paperfolder's bookshelf and will provide many hours of interesting reading and wonderful models to fold.
The one book that every origami fan MUST have!.......2004-12-08
Robert Lang's book is one of the most amazing origami books I have ever seen. Disregard the higher than normal price for the book, it is worth every penny.
People who are simply interested in folding models will be delighted by the awe-inspiring Black Forest Cuckoo Clock and the collection of turtles (complete with shell designs). Other models include birds, a moose, a train, a valentine heart, and many, many others...all out of one sheet of paper with no cutting.
The books real value, however, is its wonderful discussion of the origami design process. Lang breaks down many different aspects and techniques of design into understandable bites. Personally, I enjoyed the mathematical discussions throughout, especially the tree theory section.
The bottom line: (out of 10)
---------------
Model Value:
9 (not a book entirely of models, but the models that are contained are gorgeous)
Instruction Clarity:
9 (excellent considering how complicated the models are)
Difficulty:
10 (even origami pros will be challenged by the clock and the tiling of the fish and turtle)
Enjoyment:
10 (reading the book is as gratifying as actually reproducing one of the models within it)
Overall Value (not an average):
10 (a true masterpiece)
The key to understand Robert Lang's work.......2004-10-12
If you are like me, at some point you developed an interest in Origami and your attention was caught by Robert Lang's books. I bought "Origami Insects and their Kin" and was immediately fascinated by the lifelike and ingenuity of the models. My fascination became frustration when I tried to find any model in the book that was "doable". With much patience, wasted paper and a few suicide attempts :-), I finally did one - the ant ! I kept coming back to the Praying Mantis and the Pill Bug with no luck. Then I found this magnificent book - Origami Design Secrets. By studying the methodology created by Dr. Lang, one can see the method behind his genious (or madness :-). I was stumped by a sequence in the Praying Mantis, then I understood what was behind it once I read the chapter on "splitting"... It was like a revelation! The presentation of this book, the didactics and the clarity are superb. Dr Lang created a whole new field of science to explain Origami. It also helps the creative process and the goal to eventually create your own models. I will never be a "virtuoso" like Dr. Lang, but this book opened a whole new set of doors for me. I highly recommend it!
Customer Reviews:
What a mess.......2006-12-13
This review may be a little harsh... but, if you had to sit through an entire semester with this book you would see my point. Book this is full of errors and omissions. Something that can be explained in a few sentences take pages for this author to convey and half the time the reader still has to look elsewhere for clarification of the material. Half way into the semester I had to stop reading the thing and do subject research using other sources. Amazing someone would publish a text book this bad.
Fun Math.......2006-06-06
We used this in my college Math course, and it actually had me pretty addicted to math for a while! We only used selected chapters, but those we used were easy to navigate, even somewhat fun to read, and the math really was practical (ex.-- fair division problems, helping you solve everything from the division of your estate to how to fairly divide a piece of pie!).
A nightmare.......2006-03-22
The editor of this book should be fired. In my entire educational experience, I have never used such an unacceptable text. The book is filled with errors... more than the four page list of corrections provided by the publisher can even cover. Many of the solutions provided are incorrect, and illustrations which correspond to the text are often found on different pages than the pertaining text. More frustration than it is worth, especially if used for a distance education course. Forget it!
It works........2005-12-17
My teacher for this class seemed to think that it is vague in parts, and a bit wordy. Regardless, for the concepts it covers, it is effective.
Average customer rating:
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The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds (K-Monographs in Mathematics)
A.J. Casson ,
D.P. Sullivan ,
M.A. Armstrong ,
C.P. Rourke , and
G.E. Cooke
Manufacturer: Springer
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ASIN: 0792341740 |
Book Description
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that further development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. Then, the development of surgery theory led to the disproof of the high-dimensional manifold Hauptvermutung in the late 1960s.
Up to now, the published record of the Hauptvermutung has been incomplete. This volume brings together the original papers of Casson and Sullivan (1967), and the `Princeton Notes on the Hauptvermutung' of Armstrong, Rourke and Cooke (1968/1972). They include several results which have become part of mathematical folklore, but of which proofs had never been published. The material is complemented by an introduction on the Hauptvermutung and an account of recent developments in the area. Also, references have been updated wherever possible.
Audience: This book will be valuable to all mathematicians interested in the topology of manifolds, geometry, and differential geometry.
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From SU(3) to Gravity: Festschrift in Honor of Yuval Ne'eman (3 to Gravity : Papers in Honor of Yuval Ne'eman)
Manufacturer: Cambridge University Press
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ASIN: 0521307848 |
Book Description
This collection of specially written essays and articles celebrates the sixtieth birthday of Professor Yuval Ne’eman. Professor Ne’eman has been active at the forefront of many areas of modern physics; this book pays tribute to him by reporting and reflecting on the recent developments in these areas. The contributions have been grouped under five main headings: Groups and Gauges; Particles; Science Policy; Astronomy and Astrophysics; Gravity and Supergravity. Within each group are accounts of new work, developments and extensions of established approaches and discussions of current problems and future prospects. The resulting book will be of interest to graduate students and researchers in cosmology and astrophysics, particle theory and relativity, and to all who wish to keep up to date with the interactions and interrelations between these subject areas.
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- Truth and Consequence Both Defined in One Book
|
Logic, Semantics, Metamathematics: Papers from 1923 to 1938
Alfred Tarski
Manufacturer: Hackett Publishing Company
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Binding: Hardcover
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Introduction to Logic
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The Principles of Mathematics
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From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931 (Source Books in the History of the Sciences)
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Alfred Tarski: Life and Logic
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Introduction to Symbolic Logic and Its Applications
ASIN: 0915144751 |
Customer Reviews:
Truth and Consequence Both Defined in One Book.......2003-09-14
This book collects seventeen classic papers on logic, semantics and metamathematics authored or co-authored by the late Alfred Tarski (1901-1983), who is considered to be one of the five greatest logicians of all time (the others being Aristotle, Boole, Frege, and Gdel). Tarski is as famous for his contributions to philosophy as for his contributions to mathematics. His most important contributions to philosophy are two definitions in which he proposes characterizations of concepts that are central to our understanding of the axiomatic method and, more generally, of rationality. In 1933 he published an essay in Polish giving a mathematically precise definition of TRUTH and building the axiomatic foundations on which this definition rests. This truth-definition paper, which has been translated into many languages, may well be the most important paper in philosophical semantics, if not in analytic philosophy broadly considered. This article alone is worth the price of the book. Its 120-page length qualifies it to be regarded as a monograph, not just as an article. It has spawned a huge literature and it continues to be studied not only as an historic breakthrough paper but also as a source of fresh ideas. A revised and corrected version of a 1956 English translation of the truth-definition paper appears in this book in its entirety. In 1936 he wrote two 10-page papers sketching a mathematically precise definition of logical CONSEQUENCE (needed to define validity of arguments), one in German for international readers and one in his native Polish. This book contains an English translation of the German version. This is the only publication of the English translation of the entire Tarski truth-definition paper and it is also the only publication of the original English translation of the German-language consequence-definition paper. Tarski's definitions of truth and of consequence employ the tools of modern mathematical logic in order to characterize classically accepted concepts. They were not intended to displace classical concepts with modern constructions. Accordingly both are based on comprehensive knowledge of the relevant parts of Western philosophy going back to Aristotle and on a deep appreciation of modern mathematics, a field to which Tarski had already made important contributions on his own and in collaboration with acknowledged masters such as Banach and Kuratowski. As Tarski emphasizes in his 1969 "Scientific American" article "Truth and Proof", just as truth, which is ontic and objective, is a precondition for proof (or demonstrative knowledge), which is epistemic and to an extent subjective, consequence is an ontic and objective precondition for inference, which like proof is epistemic and inescapably subjective. Without an understanding of truth and consequence it is impossible to understand proof. Included is an editor's introduction indicating "how Tarski's development of the conceptual framework of the methodology of deductive science can be traced through the articles in this volume". The volume ends with a nearly forty-page analytical index which greatly facilitates use of this work as a reference book on logical terminology.
Book Description
This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction.
This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German.
Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
Customer Reviews:
Fundamentals!.......2006-10-17
This is a lovely collection of papers coming out of the last two or three decades of mathematical trends connected in one way or the other to wavelets.
A current 2006 google search on "wavelet" yields 6,470,000 hits; many of them dealing with applications, for example signal and image processing. The volume brings to light even more interdisciplinary trends. I expect the book will be a valued source for students in math, in applications, and in engineering.
The book is divided into seven parts, and each part is given an attractive and well written introduction, written by an expert in the field. Several of the selected papers have served as precursors for major advances in one or the other of the central areas of the subject.
The Foreword is written especially for students and it is by Ingrid Daubechies. The individual authors who wrote the seven current and separate introductions to the seven parts of the book are Jelena Kovacevic (signal processing), Jean-Pierre Antoine (physics, coherent states), Hans Feichtinger (precursors of wavelet bases), Yves Meyer (harmonic analysis and atomic decompositions), Guido Weiss (multiresolutions, multivariable theory), and Mladen V. Wickerhauser (applications, computations, image coding and more.) And there is a charming introduction to the entire collection written by John Benedetto. It is delightful and full of insight. The historical comments are fascination too.
The editor Chris Heil did a wonderful job: The present selection of original papers in the area is meant to offer motivation, and history; and more importantly it serves as a guide to students trying to learn some of this. The chosen papers are on target, and each section is nicely introduced so that it will help students getting into anyone of the many aspects of wavelet mathematics. Some of the original and older papers (Haar, Meyer, ...) were in French or German, and they have now been translated. Excellent translations!
The total number of pages is a little less than 900, but even so, there is a lot more to say, for example about connections to computer graphics.
Review by Palle Jorgensen, October 2006.
Book Description
An anthology of fundamental papers on undecidability and unsolvability, this classic reference opens with Gödel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Gödel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. 1965 edition.
Customer Reviews:
Very useful reference.......2004-05-07
This is a great collection of seminal papers by Goedel, Church, Turing, Rosser, Kleene, and Post on the topic of undecidability. It is an extremely handy reference.
Just to note: this is certainly not a tutorial or guide to this topic for the beginner. Davis provides some prefatory comments, but these are concise and mostly set the context for the papers, rather than explaining the content of the papers. This book is more for someone interested in going back to first sources.
Customer Reviews:
Beginning Origami.......2007-01-14
Almost all of the text and diagrams are simple and easy to follow. I was unable to make one of the projects. A few of the illustrations lack definition. This book is easier to use than another similar text by Fuse.
I am an origami beginner.
Columbus Cubes or bust!.......2003-02-22
Although not as fascinating as his PAPER CRYSTALS (a stellar work of modular origami), MATHEMATICAL ORIGAMI is a very solid work on the topic. David Mitchell again gives clear instructions in text and diagrams for a very intriguing branch of paperfolding. There are many books on geometric and modular origami, but Mitchell's are more than just "look at this neat design." Instead, they are well thought out and very intelligently written. A must-have for fans of the art.
Mathematical fun.......2001-10-26
My office generates lots of notices printed on brightly colored paper (usually printed on only one side). This is a great use for scrap paper. I think it is somewhat challenging (highschool level). I completed all but one. (the Decorative Rhombic Dodecahedron).
Americans should note that A4 paper is not the American satandard 8.5" X 11" but it doesn't make any difference for most of the structures. When you get to the Skeletal Cube shave the 8.5 inch dimension to 7.78 inches.
Review of Mathematical Origami.......2001-10-10
A concise and well-written book, with clear diagrams and straightforward instructions, suitable for any beginner in the field. Includes the most well-known mathematical representation
of modular origami. Advanced users might prefer a higher-level
book. Includes a list of references for further reading that might be helpful.
Oragami and math.......2000-07-12
This book was a wonderful guide that helped me understand the relationship between origami and mathamatics. I highly reccomend it!
Book Description
This is the first of a three-volume collection of David Lewis' most recent papers in all the areas to which he has made significant contributions. This first volume is devoted to Lewis' work on philosophical logic from the past twenty-five years. The topics covered include: deploying the methods of formal semantics from artificial formalized languages to natural languages, model-theoretic investigations of intensional logic, contradiction, relevance, the differences between analog and digital representation, and questions arising from the construction of ambitious formalized philosophical systems.
Book Description
This Elibron Classics book is a facsimile reprint of a 1882 edition by the University Press, Cambridge.
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- Poincare and the Three Body Problem (History of Mathematics, V. 11)
- Polarized Light, Second Edition, Revised and Expanded (Optical Engineering)
- Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (7th Edition)
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