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Customer Reviews
Non-Linear Finite Element Analysis of Solids and Structures:, 16 Feb 2005
This is a very helpful book, which gives a thorough introduction to computational non-linear FEA. The introductory chapters (1 and 2) are simply written, and are accessible to entry-level readers familiar with linear analysis. The book's strength is that it deals comprehensively with the required computational techniques. This is in contrast to many books on non-linear analysis (e.g., Bazant and Cedolin on stability), which deal mainly with classical analysis and do not extend the treatment to FEA methods. Both geometric and material non-linearity are well covered. Solution procedures (arc length plus developments) are dealt with in depth. Throughout, plentiful references are given for further reading. There are frequent worked examples, particularly early in the book, which assist understanding. I would have liked rather more on non-linear element formulations, especially stiffness matrices for commonly used elements (see, e.g., Przmieniecki's book on linear FEA). I confess I didn't trouble to follow the example solution routines, not being a FORTRAN user, but doubtless that dwindling band will find them helpful. All in all, I warmly recommend this book to practicing engineers who either want to write non-linear FEA routines, or who want a better understanding of those in commercial FEA packages.
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Projective Geometry
Usually dispatched within 1-2 business days *Best price found from Amazon Marketplace seller
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*Amazon: £14.72
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Customer Reviews
Non-Linear Finite Element Analysis of Solids and Structures:, 16 Feb 2005
This is a very helpful book, which gives a thorough introduction to computational non-linear FEA. The introductory chapters (1 and 2) are simply written, and are accessible to entry-level readers familiar with linear analysis. The book's strength is that it deals comprehensively with the required computational techniques. This is in contrast to many books on non-linear analysis (e.g., Bazant and Cedolin on stability), which deal mainly with classical analysis and do not extend the treatment to FEA methods. Both geometric and material non-linearity are well covered. Solution procedures (arc length plus developments) are dealt with in depth. Throughout, plentiful references are given for further reading. There are frequent worked examples, particularly early in the book, which assist understanding. I would have liked rather more on non-linear element formulations, especially stiffness matrices for commonly used elements (see, e.g., Przmieniecki's book on linear FEA). I confess I didn't trouble to follow the example solution routines, not being a FORTRAN user, but doubtless that dwindling band will find them helpful. All in all, I warmly recommend this book to practicing engineers who either want to write non-linear FEA routines, or who want a better understanding of those in commercial FEA packages.
An exceptionally clear introduction to topology., 20 Jul 2000
Henle covers an astonishing amount of ground in this book, from basic concepts such as compactness and connectedness to integral homology and continuous transformations. The emphasis is on algebraic topology, although point set topology is touched on in an introductory chapter and a summary of key results at the end of the book. The style is clear, with touches of humour. For example, an introductory remark to the proof of the classification theorem for surfaces, which takes up 5 pages, promises that "the proof, although long, is thoroughly enjoyable"; and the topic of orientability is introduced with a "fable" about a topologist who moved from a cylinder to a Mobius strip. The only improvement I can think of would be if the Hints and Answers section covered a higher proportion of the book's thought-provoking exercises.
A marvellous acheivement !, 28 Dec 1998
A very well written introduction to topology with the emphasis on the combinatorial part. I have five other topology books but this is by far the best one. It is surprising to find such a good book at this low price. I can only congratulate Professor Henle for his marvellous acheivement.
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Customer Reviews
Non-Linear Finite Element Analysis of Solids and Structures:, 16 Feb 2005
This is a very helpful book, which gives a thorough introduction to computational non-linear FEA. The introductory chapters (1 and 2) are simply written, and are accessible to entry-level readers familiar with linear analysis. The book's strength is that it deals comprehensively with the required computational techniques. This is in contrast to many books on non-linear analysis (e.g., Bazant and Cedolin on stability), which deal mainly with classical analysis and do not extend the treatment to FEA methods. Both geometric and material non-linearity are well covered. Solution procedures (arc length plus developments) are dealt with in depth. Throughout, plentiful references are given for further reading. There are frequent worked examples, particularly early in the book, which assist understanding. I would have liked rather more on non-linear element formulations, especially stiffness matrices for commonly used elements (see, e.g., Przmieniecki's book on linear FEA). I confess I didn't trouble to follow the example solution routines, not being a FORTRAN user, but doubtless that dwindling band will find them helpful. All in all, I warmly recommend this book to practicing engineers who either want to write non-linear FEA routines, or who want a better understanding of those in commercial FEA packages.
An exceptionally clear introduction to topology., 20 Jul 2000
Henle covers an astonishing amount of ground in this book, from basic concepts such as compactness and connectedness to integral homology and continuous transformations. The emphasis is on algebraic topology, although point set topology is touched on in an introductory chapter and a summary of key results at the end of the book. The style is clear, with touches of humour. For example, an introductory remark to the proof of the classification theorem for surfaces, which takes up 5 pages, promises that "the proof, although long, is thoroughly enjoyable"; and the topic of orientability is introduced with a "fable" about a topologist who moved from a cylinder to a Mobius strip. The only improvement I can think of would be if the Hints and Answers section covered a higher proportion of the book's thought-provoking exercises.
A marvellous acheivement !, 28 Dec 1998
A very well written introduction to topology with the emphasis on the combinatorial part. I have five other topology books but this is by far the best one. It is surprising to find such a good book at this low price. I can only congratulate Professor Henle for his marvellous acheivement.
FANTASTIC resource for all maths teachers, 10 Aug 2002
Having moved into a classroom consisting entirely of windows I was delighted to find this excellent little book. The designs range from simple to complicated and are stunningly effective when displayed. I was particulary delighted to see that if you wish some higher level trigonometry can be extracted from these designs for top sets at GSCE - so a truly comprehensive activity for all children. Fabulous!
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The Geometry
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*Amazon: £4.37
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Elementary Topology
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Michael Caesar Gemigani;
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Usually dispatched within 1-2 business days *Best price found from Amazon Marketplace seller
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*Amazon: £4.01
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Customer Reviews
Non-Linear Finite Element Analysis of Solids and Structures:, 16 Feb 2005
This is a very helpful book, which gives a thorough introduction to computational non-linear FEA. The introductory chapters (1 and 2) are simply written, and are accessible to entry-level readers familiar with linear analysis. The book's strength is that it deals comprehensively with the required computational techniques. This is in contrast to many books on non-linear analysis (e.g., Bazant and Cedolin on stability), which deal mainly with classical analysis and do not extend the treatment to FEA methods. Both geometric and material non-linearity are well covered. Solution procedures (arc length plus developments) are dealt with in depth. Throughout, plentiful references are given for further reading. There are frequent worked examples, particularly early in the book, which assist understanding. I would have liked rather more on non-linear element formulations, especially stiffness matrices for commonly used elements (see, e.g., Przmieniecki's book on linear FEA). I confess I didn't trouble to follow the example solution routines, not being a FORTRAN user, but doubtless that dwindling band will find them helpful. All in all, I warmly recommend this book to practicing engineers who either want to write non-linear FEA routines, or who want a better understanding of those in commercial FEA packages.
An exceptionally clear introduction to topology., 20 Jul 2000
Henle covers an astonishing amount of ground in this book, from basic concepts such as compactness and connectedness to integral homology and continuous transformations. The emphasis is on algebraic topology, although point set topology is touched on in an introductory chapter and a summary of key results at the end of the book. The style is clear, with touches of humour. For example, an introductory remark to the proof of the classification theorem for surfaces, which takes up 5 pages, promises that "the proof, although long, is thoroughly enjoyable"; and the topic of orientability is introduced with a "fable" about a topologist who moved from a cylinder to a Mobius strip. The only improvement I can think of would be if the Hints and Answers section covered a higher proportion of the book's thought-provoking exercises.
A marvellous acheivement !, 28 Dec 1998
A very well written introduction to topology with the emphasis on the combinatorial part. I have five other topology books but this is by far the best one. It is surprising to find such a good book at this low price. I can only congratulate Professor Henle for his marvellous acheivement.
FANTASTIC resource for all maths teachers, 10 Aug 2002
Having moved into a classroom consisting entirely of windows I was delighted to find this excellent little book. The designs range from simple to complicated and are stunningly effective when displayed. I was particulary delighted to see that if you wish some higher level trigonometry can be extracted from these designs for top sets at GSCE - so a truly comprehensive activity for all children. Fabulous!
Excellent Book, 16 Mar 2006
As a first year student at Cambridge I found this book completely invaluable. It rigorously covers lots of topics, giving clear step-by-step proofs and explanations. Excellent. This is the one book that I would recommend that anyone in their first year of maths at university should buy.
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Customer Reviews
Non-Linear Finite Element Analysis of Solids and Structures:, 16 Feb 2005
This is a very helpful book, which gives a thorough introduction to computational non-linear FEA. The introductory chapters (1 and 2) are simply written, and are accessible to entry-level readers familiar with linear analysis. The book's strength is that it deals comprehensively with the required computational techniques. This is in contrast to many books on non-linear analysis (e.g., Bazant and Cedolin on stability), which deal mainly with classical analysis and do not extend the treatment to FEA methods. Both geometric and material non-linearity are well covered. Solution procedures (arc length plus developments) are dealt with in depth. Throughout, plentiful references are given for further reading. There are frequent worked examples, particularly early in the book, which assist understanding. I would have liked rather more on non-linear element formulations, especially stiffness matrices for commonly used elements (see, e.g., Przmieniecki's book on linear FEA). I confess I didn't trouble to follow the example solution routines, not being a FORTRAN user, but doubtless that dwindling band will find them helpful. All in all, I warmly recommend this book to practicing engineers who either want to write non-linear FEA routines, or who want a better understanding of those in commercial FEA packages.
An exceptionally clear introduction to topology., 20 Jul 2000
Henle covers an astonishing amount of ground in this book, from basic concepts such as compactness and connectedness to integral homology and continuous transformations. The emphasis is on algebraic topology, although point set topology is touched on in an introductory chapter and a summary of key results at the end of the book. The style is clear, with touches of humour. For example, an introductory remark to the proof of the classification theorem for surfaces, which takes up 5 pages, promises that "the proof, although long, is thoroughly enjoyable"; and the topic of orientability is introduced with a "fable" about a topologist who moved from a cylinder to a Mobius strip. The only improvement I can think of would be if the Hints and Answers section covered a higher proportion of the book's thought-provoking exercises.
A marvellous acheivement !, 28 Dec 1998
A very well written introduction to topology with the emphasis on the combinatorial part. I have five other topology books but this is by far the best one. It is surprising to find such a good book at this low price. I can only congratulate Professor Henle for his marvellous acheivement.
FANTASTIC resource for all maths teachers, 10 Aug 2002
Having moved into a classroom consisting entirely of windows I was delighted to find this excellent little book. The designs range from simple to complicated and are stunningly effective when displayed. I was particulary delighted to see that if you wish some higher level trigonometry can be extracted from these designs for top sets at GSCE - so a truly comprehensive activity for all children. Fabulous!
Excellent Book, 16 Mar 2006
As a first year student at Cambridge I found this book completely invaluable. It rigorously covers lots of topics, giving clear step-by-step proofs and explanations. Excellent. This is the one book that I would recommend that anyone in their first year of maths at university should buy.
A great book -- giving you a solid base in comp.geom., 11 Jan 2007
I use this book quite often as a reference. Having read and studied most topics in
this book I must say it cover the basics that will give you the understanding of
how to develop geometric algorithms for other problems.
I am a CS graduate student, and therefore have the basic knowledge of
algorithms and complexity analysis, and such -- I don't know if you
will enjoy the book without this knowledge, but why buy a book on
computational geometry, if these topics are out of your interest area?
Close but not quite 5 stars., 21 Jan 2004
I bought this book because the blurb said "This book is largely self-contained and can be used for self-study...". Not exactly, ok there are end of chapter exercises but where are the answers? If I knew enough to check them myself I would not need the book! The book also suggests use for "high-level undergraduate and low-level graduate courses" this is very true, don't kid yourself you'll understand it unless you have or are in the final year of a first technical degree. Also note that the algorithms are in pseudo-code so if you want quick results you'll not find them here. I like this idea, however, as it makes you concentrate on the general ideas rather than any particular programming languages'implementation of them. The book is well organised and has good diagrams to help you understand the concepts but is more suited for students as a degree course book than for self-study. If the answers were available on the book's web-site I would have given it 5 stars.
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