Classical Topology and Combinatorial Group Theory: v. 72 (Graduate Texts in Mathematics)

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This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.

Classical Topology and Combinatorial Group Theory: v. 72 (Graduate Texts in Mathematics) Review

Ideas from topology are now manifested everywhere in physics, engineering, computer graphics, and many, many other applications. Consequently, a thorough understanding of topology has become necessary for those who are involved in these applications. This book gives an introduction to "classical" topology that emphasizes the geometric intuition behind the subject, and is thus very suitable for those who need such an understanding. That is not to say that aspiring mathematicians will not gain from the reading of the book. It still maintains a standard of rigor that graduate students in mathematics need to advance in more in-depth courses in topology. The author does not hesitate to use diagrams in the book, which makes it an even better one for those interested in applications. Most of the results he discusses were known in the late 1800's and early 1900's, but they are still important today, especially in physics. In chapter 0, the author introduces the fundamental concepts in topology with a discussion of the homoemorphism problem. Confining attention to three dimensions and less, the author does mention the impossibility of solving the problem in dimensions greater than or equal to four. He then gives an overview of open and closed sets, continuous functions, identification spaces, and elementary homotopy theory. The building blocks of the main objects he considers in the book, namely simplicial complexes, are discussed in detail. The Haupvermutung is briefly discussed, and a full proof, due to E.E. Moise, of the Jordan curve theorem is given. The proof is the first example of the general approach that the author takes in the book, namely of reducing general topology to combinatorial topology. A brief introduction to algorithms is given, and the author introduces the group theory needed for the rest of the book. Since he is taking an historical approach in this book, the author begins the study of surfaces with the study of Riemann surfaces. He motivates the ideas of Riemann surfaces, such as branched coverings of the 2-sphere, very nicely, and gives a very understandable theorem for surfaces is proved in detail. In addition, the concept of a universal covering space is described beautifully, and the author shows how to obtain it for orientable surfaces of genus greater than one. The author also gives a brief taste of Fuchsian groups. Chapter 2 is devoted completely to the group theory of graphs, as a warm up to the study of the fundamental group in the next chapter. The fundamental group is defined to be an equivalence class of maps, and with the exception of the circle, it is calculated using deformation retraction and the Seifert-Van Kampen theorem. The fundamental group of complexes are then calculated in chapter 4, using first a method due to Poincare, and then directly. Some knot theory is introduced, and the Wirtinger presentation of knot groups is discussed. Homology theory is presented in chapter 5 as an abelianization of the fundamental group, and the abelianization is shown to be independent of the presentation of the fundamental group. The author does not spend much time in homology, arguing (correctly) that in dimensions less than or equal to three the fundemental group contains all the information obtained from homology. The study of curves on surfaces is the subject of chapter 6, with the contractibility problem studied first using Dehn's algorithm. Some methods for "simplifying" simple curves on closed orientable surfaces by homeomorphisms are also discussed. These techniques could be considered an elementary warm-up to the handle calculus procedures done in higher-dimensional topology. The physicist-string-theorist reader will appreciate the discussion of the mapping class group of the torus. All of chapter 7 is devoted to knot theory, and this subject, now of enormous importance in physics and computational biology, is treated in great detail here. The braid group is defined, and Artin's solution of the word problem is given. A very short overview of 3-dimensional manifolds is given in chapter 8, wherein the important concept of a Heegaard splitting is discussed, along with other methods for constructing 3-manifolds. The recognition problem for the 3-sphere, and the famous Poincare conjecture, are mentioned, and the author outlines one method, called shelling a simplicial decomposition, for recoginizing a 3-sphere. He shows however the existence of an unshellable triangulation of the 3-ball (Bing's cube). The author is incorrect though when he states that an algorithm for disproving the conjecture, i.e. an algorithm for enumerating all the 3-manifolds not homeomorphic to the 3-sphere, does not exist. Since the date of publication of this book, such an algorithm has been constructed by Rourke and Sanderson. The book ends with a discussion of unsolvable problems in combinatorial topology. This is an unusual topic in a book on topology, but given the importance currently of computer algorithms in the growing field of "computational topology" such an inclusion is appropriate and useful. The author discusses Turing machines, Church's thesis, and the Halting problem. The author discusses the unsolvable problems in group theory, and shows how the halting problem can be reduced to the word problem in groups. He leaves as an exercise, using the formalism developed in the chapter on presentations of groups, the problem of showing the homeomorphism problem is unsolvable for closed 4-manifolds. Help other customers find the most helpful reviews Was this review helpful to you? Yes No Report abuse | PermalinkComment�Comment (1)

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Analytical Gas Chromatography

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Gas chromatography remains the world's most widely used analytical technique, yet the expertise of a large proportion of chromatographers lies in other fields. Many users have little real knowledge of the variablesin the chromatographic process, the interaction between those variables, how they are best controlled, how the quality of their analytical results could be improved, and how analysis times can be shortened to facilitate the generation of a greater numberof more reliable results on the same equipment. An analyst with a more comprehensive understanding of chromatographic principles and practice, however, can often improve the quality of the data generated, reduce the analytical time, and forestall the needto purchase an additional chromatograph or another mass spectrometer.The Second Edition of Analytical Gas Chromatography is extensively revised with selected areas expanded and many new explanations and figures. The section on sample injection has been updated to include newer concepts of split, splitless, hot and cold on-column, programmed temperature vaporization, and large volume injections. Coverage of stationary phases now includes discussion, applications, and rationale of the increased thermal and oxidative resistance of the newly designed silarylenepolysiloxane polymers. Conventional and"extended range"polyethylene glycol stationary phases are examined from the viewpoints of temperature range and retention index reliabilities, and the chapter on"Variables"has been completely rewritten. The ways in which carrier gas velocity influences chromatographic performance is considered in detail, and includes what may be the first rational explanation of the seemingly anomalous effects that temperature exercises on gas viscosity (and gas flow). The practical effects that these changes cause to the chromatography is examined in pressure-, flow-, and"EPC-"regulated systems."Column Selection, Installation, and Use"has been completely rewritten as well. The accuracy of theVan Deemter plots has been greatly enhanced; a new program corrects for the first time for the changes in gas density and diffusion that occur during the chromatographic process because of solute progression through the pressure drop of the column. A new section has also been added on meeting thespecial requirements of columns destined for mass spectral analysis. The chapter on"Special Applications"has been expanded to include considerations of"selectivity tuning,"of fast analysis, and the section of Applications has been thoroughly updated and expanded.

Key Features
* Incorporates nearly 60% new material
* Covers the newest concepts and materials for sample injection and stationary phases
* Presents detailed consideration of the influence of carrier gas velocity on practical aspects of chromatographic performance
* Contains a chapter on "Special Analytical Techniques" which includes consideration of selectivity tuning and fast analysis
* Provides a new section addressing the special requirements of columns to be used in mass spectral analysis
* Includes an improved program that greatly enhances the accuracy of the Van Deemter plots by more accurately depicting localized chromatographic conditions at each point in the column

Analytical Gas Chromatography Review

Analytical gas chromatography, second edition is an excellent reference book for those of us who take gas chromatography seriously, not as a fringe technology, nor learn enough to get by. The second edition was substantially revised from the first edition. Very up to date information with insights on why things appears in certain way. Chapter 5, variables in the gas chromatographic process, and chapter 6 (subsection 9), optimizing operational parameters for specific columns, and chapter 8 on selective tuning are very useful and invaluable.

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Lippincott Williams & Wilkins Atlas of Anatomy (Point (Lippincott Williams & Wilkins))

You looking to find the "Lippincott Williams & Wilkins Atlas of Anatomy (Point (Lippincott Williams & Wilkins))" Good news! You can purchase Lippincott Williams & Wilkins Atlas of Anatomy (Point (Lippincott Williams & Wilkins)) with secure price and compare to view update price on this product. And deals on this product is available only for limited time.

   

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Featuring more than 750 new, modern images, the Lippincott Williams & Wilkins Atlas of Anatomy is a vibrantly colored regional atlas of human anatomy offering an unprecedented combination of visual aesthetic appeal and anatomical accuracy. Many student-friendly features set this atlas apart from others on the market, including a unique art style featuring bright colors, color coding of anatomical elements, judicious use of labeling, and no extraneous text.

Each plate teaches specific structures and relationships� displayed using artistic techniques such as "ghosting," layering, and color selectivity� providing immediate focus and resulting in easier and faster comprehension. This unique pedagogy, combined with the beautiful art style, will make this new anatomy atlas the preferred choice of teachers and students alike.

Packaged with the atlas is an online interactive atlas with all of the images, including fully searchable legends and labels and "zoom and compare" features. Also included are electronic flash cards that permit students to test their knowledge of newly learned concepts and structures.

Lippincott Williams & Wilkins Atlas of Anatomy (Point (Lippincott Williams & Wilkins)) Review

In medical school, I took human anatomy in year 1 and I ended up honoring the class. The next year, I had time to be a teaching assistant for the first year anatomy class. Now as a psychiatry intern, I really do not get much opportunity to practice that subject. It was with great delight that I had the opportunity to read LWW's Atlas of Anatomy as a book review. In comparison I am using my knowledge of Netter's Atlas which I used heavily when I took my human anatomy and neuroanatomy classes.

There are many benefits to this book:

There is an online site for student resources and electronic flash cards. I know I would have used this heavily as a student. Because I made paper flash cards to help me remember the relationships of the structures. I also love the fully searchable interactive atlas because it means you don't have to carry around your book everywhere to study from.

When I was in human anatomy dissection, we always needed one atlas for the table. It would inevitably get so dirty so we would have to have one for the table and one for studying at home. Students could probably get by with only one book this way. Using the online at home and leaving the dirty hard copy at the dissection table. It might even save them some money. I remember not liking the Netters computerized atlas when I was studying because I like to have something to take notes on. I sometimes feel a hard copy is always essential, but online access on LWW's atlas is definitely a plus because of portability. My class had palm pilots so someone made flash cards to be used on the PDA - I really loved this and this book offers something similar that is needed and almost vital.

The book is definitely comparable to Netter in the illustrations. They are beautiful and educational.. I cannot see much difference in the quality of the illustrations. Everyone always says Netter's Atlas is the bible for anatomy but this book is just as good with the pictures and may be even better because it has the extras I will mention.

For one thing, the labels have been simplified to include only the most pertinent and testable structures. There is no obscure stuff like Gray's anatomy has and furthermore - this book it simply a really good atlas there is not a lot of prose to explain stuff. This gives the pictures and the relationships of the structures. It is not a heavy textbook you will not read. When I was in medical school I had my class notes and the Netters. Even though I bought heavy textbook - I never even used it! Most students find that if they have the most realiable resources, they really do not need to read a whole 600 pg text. The high yield stuff is right in the LWW's pictures. I think the LWW atlas is comparable if not better in terms of the package that is presented than Netters.

One thing that may be an a plus or minus depending on how you look at it is - all the LWW pics are in anatomical position only. There is no confusing pics. This is absolutely vital for learning when you are starting out BUT in my medical school the instructors would put the cadavers in positions other than anatomical position on the test. SO you really have to be careful to learn the bodies in anatomical position and be able to identify then even when they are not. Welcome to medical school.

The lay out is almost the same as Netters and it has a really good Neuro section - better explained pictures and more than in the Netters that I used. Head and neck is good in this book because the nerve systems of that region are emphasized. When I went to anatomy class first year we were given a confusing packet of autonomic nervous system material and told to learn it. I don't think Netter had too much on this, but this book certainly does!

I really liked the pics of the uterus and the ligaments that support it. This is always hard to visualize in the cadaver. Actually, I think a lot of the conceptual stuff concerning the GU organs is difficult and I remember there being only limited pics to clarify in netter. I like the vasogram and hysterosalpingogram too. Also the pics on the gallbladder and hepatic artery are GREAT! Those variations can show up on tests if the professor wants to make things extra hard. Pg 237

The book is definitely comparable to Netters the bible of first year anatomy. I think with the addition of the online version it might even be a better deal! That all depends on the ultimate price - as a student I never liked to pay more than $40-60 for a text for class.

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Monte Carlo Methods and Models in Finance and Insurance (Chapman & Hall/CRC Financial Mathematics Series)

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Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath ��Platen estimator, as well as recent financial and actuarial models, such as the Cheyette and dynamic mortality models. The authors separately discuss Monte Carlo techniques, stochastic process basics, and the theoretical background and intuition behind financial and actuarial mathematics, before bringing the topics together to apply the Monte Carlo methods to areas of finance and insurance. This allows for the easy identification of standard Monte Carlo tools and for a detailed focus on the main principles of financial and insurance mathematics. The book describes high-level Monte Carlo methods for standard simulation and the simulation of stochastic processes with continuous and discontinuous paths. It also covers a wide selection of popular models in finance and insurance, from Black–Scholes to stochastic volatility to interest rate to dynamic mortality. Through its many numerical and graphical illustrations and simple, insightful examples, this book provides a deep understanding of the scope of Monte Carlo methods and their use in various financial situations. The intuitive presentation encourages readers to implement and further develop the simulation methods.

Monte Carlo Methods and Models in Finance and Insurance (Chapman & Hall/CRC Financial Mathematics Series) Review

This book is okay, but it leaves a lot to be desired. This book was required for my grad school course. it was helpful, but it was barely used.

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Digital Modeling of Material Appearance (The Morgan Kaufmann Series in Computer Graphics)

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Computer graphics systems are capable of generating stunningly realistic images of objects that have never physically existed. In order for computers to create these accurately detailed images, digital models of appearance must include robust data to give viewers a credible visual impression of the depicted materials. In particular, digital models demonstrating the nuances of how materials interact with light are essential to this capability.

This is the first comprehensive work on the digital modeling of material appearance: it explains how models from physics and engineering are combined with keen observation skills for use in computer graphics rendering.

Written by the foremost experts in appearance modeling and rendering, this book is for practitioners who want a general framework for understanding material modeling tools, and also for researchers pursuing the development of new modeling techniques. The text is not a "how to" guide for a particular software system. Instead, it provides a thorough discussion of foundations and detailed coverage of key advances.

Practitioners and researchers in applications such as architecture, theater, product development, cultural heritage documentation, visual simulation and training, as well as traditional digital application areas such as feature film, television, and computer games, will benefit from this much needed resource.

ABOUT THE AUTHORS
Julie Dorsey and Holly Rushmeier are professors in the Computer Science Department at Yale University and co-directors of the Yale Computer Graphics Group. François Sillion is a senior researcher with INRIA (Institut National de Recherche en Informatique et Automatique), and director of its Grenoble Rh� ne-Alpes research center.


* First comprehensive treatment of the digital modeling of material appearance;
* Provides a foundation for modeling appearance, based on the physics of how light interacts with materials, how people perceive appearance, and the implications of rendering appearance on a digital computer;
* An invaluable, one-stop resource for practitioners and researchers in a variety of fields dealing with the digital modeling of material appearance.

Digital Modeling of Material Appearance (The Morgan Kaufmann Series in Computer Graphics) Review

This is the future of Computer Graphics. The book begins with a solid, foundational overview of light properties and their current forms of implementation. The book then gracefully develops the more advanced concepts and smoothly transitions into digital modeling of material appearance. In this subject of light there is no better compendium of knowledge, especially one that can educate due to its salient command of technical language that never obscures the concept underneath.

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