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Multivariate Calculus and Mathematica: With Applications to Geometry and Physics
Kevin R. Coombes ,
Ronald L. Lipsman , and
Jonathan M. Rosenberg
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback
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Similar Items:
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The Student's Introduction to Mathematica : A Handbook for Precalculus, Calculus, and Linear Algebra
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Calculus Labs for Mathematica
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Complex Analysis with MATHEMATICA®
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Schaum's Outline of Mathematica
ASIN: 0387983600 |
Book Description
One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica.
Customer Reviews:
awful book.......2005-03-30
This is one of the worst technical books I have ever read. It seems like something cobbled together. It teaches very little vector calculus or mathematica.
Book Description
The raw numbers of high-energy-density physics are amazing: shock waves at hundreds of km/s (approaching a million km per hour), temperatures of millions of degrees, and pressures that exceed 100 million atmospheres. This book introduces the reader to the fundamental tools and discoveries of high-energy-density physics. It surveys the production of high-energy-density conditions, the fundamental plasma and hydrodynamic models that can describe them and the problem of scaling from the laboratory to the cosmos. Connections to astrophysics will be discussed throughout. The book is intended to support coursework in high-energy-density physics, to meet the needs of new researchers in this field, and also to serve as a useful reference on the fundamentals.
Product Description
Real Science-4-Kids Physics, Level I, written at a 4th and 5th grade level, presents college level physics in a way children can understand. Concepts included are: Laws of physics and the scientific method; force, work and energy; potential and kinetic energy; motion; chemical and electrical energy; current, magnets and electromagnets; light and sound energy; and conservation of energy.
Customer Reviews:
Good, but redundant.......2007-01-10
The content is very thorough, maybe too much so. I decided to use this for my 9 yo's science this year. I like the simplicity of the definitions, but they are drawn out for too long. I think less would be more here. I can tell my student is a little bored at times because the subject is not moving along fast enough. Having said that, when we reinforce what we have learned through extra discussion - she recalls the majority of the information (it was not sooooo slow that she tuned out). She does love the sometimes silly cartoon like illustrations. I WOULD and might try another branch of science in this same series, but it is not my favorite.
Real Science 4 Kids.......2006-07-02
I found the Physics, Level 1 book very well written and illustrated. My students really liked the book, too.
I used the textbook for my student's weekly assigned reading.
I also used the Teacher's Manuel that contains excellent additional information and the directions for instructing the students on how to set up one of the 10 different experiments each week. My students used the Real Science 4 Kids lab notes to make their notes which took them through the steps of the Scientific method. EXCELLENT material.
Book Description
This book is a collection of problems with detailed solutions which will prove valuable to students and research workers in mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced level. Almost all the problems are solved in detail and most of them are self-contained. All relevant definitions are given. Students can learn important principles and strategies required for problem solving. Teachers will find this text useful as a supplement, since important concepts and techniques are developed through the problems. The material has been tested in the author's lectures given around the world.
The book is divided into two volumes. Volume I presents the introductory problems, for undergraduate and advanced undergraduate students. In Volume II, the more advanced problems, together with detailed solutions, are collected, to meet the needs of graduate students and researchers. The problems included cover most of the new fields in theoretical and mathematical physics, such as Lax representation, Bäcklund transformation, soliton equations, Lie-algebra-valued differential forms, the Hirota technique, the Painlevé test, the Bethe ansatz, the Yang-Baxter relation, chaos, fractals, complexity, etc.
Customer Reviews:
Some of this Material is Undergrad Level but the rest! WHEW!.......2004-11-23
Table of Contents follows:
Volume 2: Advanced/Graduate Level
1 Lax Representations in Classical Mechanics
2 Kronecker and Tensor Products
3 Nambu Mechanics
4 Gateaux and Frechet Derivatives
5 Stability and Bifurcations
6 Nonlinear Ordinary Difference Equations
7 Nonlinear Ordinary Differential Equations
8 Groups
9 Generalized Functions
10 Linear Partial Differential Equations
11 Nonlinear Partial Differential Equations
12 Group Theoretical Reductions
13 Backland Transformations
14 Soliton Equations
15 Lax Pairs for Partial Differential Equations
16 Hirota Technique
17 Painleve Test
18 Lie Algebras
19 Differential Forms
20 Lie Derivative
21 Metric Tensor Fields
22 Killing Vector Fields
23 Inequalities
24 Ising Model and Heisenberg Model
25 Number Theory
26 Combinatorial Problems
27 Fermi Operators
28 Bose Operators
29 Lax Representations and Bethe Ansatz
30 Gauge Transformations
31 Chaos, Fractals and Complexity
Customer Reviews:
Great For Homeschooling.......2007-09-03
This is a wonderful series for teaching homeschool kids. My son is at a fourth grade level and this series is right on target. I love that it combines all three subjects into one teacher's manual. The directions are clear and understandable, even for a complete novice like myself. The series also ties language and the study of root words from Latin into science, which is fantastic!
Book Description
This book is a collection of problems with detailed solutions which will prove valuable to students and research workers in mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced level. Almost all the problems are solved in detail and most of them are self-contained. All relevant definitions are given. Students can learn important principles and strategies required for problem solving. Teachers will find this text useful as a supplement, since important concepts and techniques are developed through the problems. The material has been tested in the author's lectures given around the world.
The book is divided into two volumes. Volume I presents the introductory problems, for undergraduate and advanced undergraduate students. In Volume II, the more advanced problems, together with detailed solutions, are collected, to meet the needs of graduate students and researchers. The problems included cover most of the new fields in theoretical and mathematical physics, such as Lax representation, Bäcklund transformation, soliton equations, Lie-algebra-valued differential forms, the Hirota technique, the Painlevé test, the Bethe ansatz, the Yang-Baxter relation, chaos, fractals, complexity, etc.
Customer Reviews:
Very Interesting where Math may be Applied to Physics.......2004-11-23
Table of Contents follows:
Volume 1: Introductory/Undergraduate Level
1 Complex Numbers
2 Sums and Product
3 Discrete Fourier Transform
4 Algebraic and Transcendental Equations
5 Matrix Calculations
6 Matrices and Groups
7 Matrices and Eigenvalue Problems
8 Transformations
9 L'Hospital's Rule
10 Lagrange Multiplier Method
11 Linear Difference Equations
12 Linear Differential Equations
13 Integration
14 Continuous Fourier Transform
15 Complex Analysis
16 Special Functions
17 Inequalities
18 Functional Analysis
19 Combinatorics
20 Convex Sets and Functions
21 Optimization
Average customer rating:
- good book
- Not a self contained book!
- Not for beginners
- Good introduction to level set methods
- This is The Introduction to Level-Set Method
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Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (Cambridge ... on Applied and Computational Mathematics)
J. A. Sethian
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback
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ASIN: 0521645573 |
Book Description
In this new edition of the successful book Level Set Methods, Professor Sethian incorporates the most recent advances in Fast Marching Methods, many of which appear here for the first time. Continuing the expository style of the first edition, this introductory volume presents cutting edge algorithms in these groundbreaking techniques and provides the reader with a wealth of application areas for further study. Fresh applications to computer-aided design and optimal control are explored and studies of computer vision, fluid mechanics, geometry, and semiconductor manufacture have been revised and updated. The text includes over thirty new chapters. It will be an invaluable reference for researchers and students.
Customer Reviews:
good book.......2006-03-15
Neither an introduction nor a recipe book for level sets. Contains dense information and requires supplemental material.
Not a self contained book!.......2003-10-12
I bought this book with the intent of understanding the level set method AND be able to implement it in code. The book fails on the later. He gives you some basic formulas/algorithms to start with, but they are not good enough for most problems. You need to get the references (and the references of those references) to obtain the actual algorithms people use to implement the level set method.
The first six chapters are good for giving you a nice qualitative understanding of the method and the issues of implementing the method. And the rest of the book claims to show you the more advanced techniques, but whenever the nitty gritty details are needed, he refers you to the references.
My advice: just get his references. If you are at a university, then you probably have free access to the online journals that contain his (and others) research articles. In fact, this book is basically a copy-paste of those articles! Literally!
Not for beginners.......2003-04-23
I am afraid that this book is not for beginners who want to have a clear mind of the level set method. You will have to go to the library quite often to dig out all the references the author mentioned. I would say this book is for experienced researchers only.
Good introduction to level set methods.......2001-06-07
I use these methods in the context of image analysis, for image segmentation essentially. The book is an inescapable introduction by one of the main inventors of these methods. It is easy to read and relatively complete. Be sure to get the second edition. The only slight problems are the remaining typos. There are quite a few, for a second edition, and they might throw off a beginner. You will need to read some introduction text on finite differences methods at least. The chapter in Numerical Recipes is enough.
This is The Introduction to Level-Set Method.......2000-04-27
This is a very good introduction to the very exciting technique, level-set method. The method is basically for front-tracking or interface motion. But its application turned out to be so wide that it is now applied to problems which does not seem relevant to front-tracking, such as computaional grid generation. This book explaines the basics of this powerful tool very clearly, and it is in fact easy to read. Although it was written by a mathematician, it is not very mathematical like some texts on finite-element method written by mathematicians (which are often formidable to engineers). I recommend this book to anyone in engineering. You might find a new application of this technique.
Average customer rating:
- A goldie oldie! Great for math incompetents like me! Nothing extraneous..
- A good book for basics of Physics for grd 10/O level
|
Ordinary Level Physics
A.F. Abbott
Manufacturer: Heinemann Educational Secondary Division
ProductGroup: Book
Binding: Paperback
General
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| Nonfiction
| Subjects
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ASIN: 0435670050 |
Customer Reviews:
A goldie oldie! Great for math incompetents like me! Nothing extraneous.........2005-07-29
If you're looking for a great old book that will give you all the basics, and give you a rigorous workout, this is the book. I used this book to teach myself high school physics in the Caribbean.
When I had to do College Physics 20 years later, I decided to buy a second hand copy to help me, since our textbook sucked. (College Physics, Serway and Faughn - one of the worst written "books"?? I've ever had to use.)
This won't cover everything for college, but it will thoroughly teach the basics and help you understand things well because it really is written in (plain) English.
(...)
A good book for basics of Physics for grd 10/O level.......2000-06-24
This is a really good book to clear ones basics. Written in traditional style, has number of examples, illustrations and problems! Good explanation! Any one starting journey into the field of Physics should go through this book.
Book Description
A clear and comprehensive account of the basic principles involved in all quantum optical resonance phenomena, directed to graduate students and research physicists, and hailed in Contemporary Physics as "a valuable contribution to the literature of non-linear optics." 53 illustrations.
Customer Reviews:
Good coverage of topics, excellent value.......2000-07-25
If you're looking for an introduction to optics or atomic physics, this book may be a little terse and advanced. But if you have some exposure to optics and lasers, and a good foundation in electromagnetism and basic quantum mechanics, this is a great book to have. The authors discuss the semiclassical two-level model to a level of detail which is hard to find in other standard texts. And although there is a good amount of detail, the book does not get lost in the mathematics, making it easily accessible to the experimentalist as well as to the theorist. I particularly like the treatment of the Bloch equations and pulse propagation. On the down-side, the book does tend to be terse in some areas, giving minimal discussion of the physics (although at least it does discuss the physics!), and some of the derivations are little difficult to follow. Also, the brevity of the table of contents makes it a little difficult to figure out what the book actually covers. And the notation used in some parts was somewhat unfamiliar.
But overall, if you're looking for a book in atomic and optical physics where you get the most value for your money, this book is to be highly recommended.
Good coverage of topics, excellent value.......2000-07-25
If you're looking for an introduction to optics or atomic physics, this book may be a little terse and advanced. But if you have some exposure to optics and lasers, and a good foundation in electromagnetism and basic quantum mechanics, this is a great book to have. The authors discuss the semiclassical two-level model to a level of detail which is hard to find in other standard texts. And although there is a good amount of detail, the book does not get lost in the mathematics, making it easily accessible to the experimentalist as well as to the theorist. I particularly like the treatment of the Bloch equations and pulse propagation. On the down-side, the book does tend to be terse in some areas, giving minimal discussion of the physics (although at least it does discuss the physics!), and some of the derivations are little difficult to follow. Also, the brevity of the table of contents makes it a little difficult to figure out what the book actually covers. And the notation used in some parts was somewhat unfamiliar.
But overall, if you're looking for a book in atomic and optical physics where you get the most value for your money, this book is to be highly recommended.
Book Description
This concise guise provides all the content you need for the Physics IB diploma at both Standard and Higher Level. BLIt follows the structure of the IB Programme exactly and includes all the options BLEach topic is presented on its own page for clarity BLHigher Level material clearly indicated BLPlenty of practice questions BLWritten with an awareness that English might not be the reader's first language Other titles in series: Biology for the IB Diploma Chemistry for the IB Diploma
Customer Reviews:
This book is AMAZING.......2006-12-17
This book is the best thing you could buy for the IB Physics test. It has all the information you need for every single topic. And it goes in order. Nothing is left out. The text looks intimidating at first, but once you start reading and highlighting, it becomes so easy. I used this book to study for my IB physics SL test, and I got a 7. Oh yeah, and for one of my options, I studied a topic my teacher never taught in class. I learned it all myself from the book. So that just goes to show how good it is. I higly recommend this book to anyone that wants to score high on this test. I also bought the IB Biology book, and so far it's helping me a great deal just for tests and quizzes.
From an IB Diploma Graduate.......2006-12-14
I liked it because instead of several paragraphs of essay style writing contained in a regular textbook, this book gives a more concise visual approach and uses many diagrams and boxes with text inside to explain concepts. If you are SL or HL Physics, I strongly recomend this book.
Short and Helpful.......2005-10-09
This book has basically everything that will appear on the physics papers, either standard or higher level. Study it alongst with your textbook(s), solve plenty of physics problems and you will get at least a four over seven. Of course, if you are willing to work harder, I recommend that you get some more A-level physics books, and with those on your bookshelves you will most likely score a seven.
The IB physics bible.......2005-07-09
This book is probably the best resources you can get for IB physics. It is tailored to the IB syllabus and contains nothing more than what you need for the exam. This book is especially useful if your teacher does not teach, or somehow decides not to teach according to the syllabus. Also, it is a must for people who want to do well but are not willing to read through 500 pages of their textbook before the exam. For me, it certainly contributed to my 7 in physics HL, and I know it is probably go to do the same for you.
Not perfect, but best physics book available for the diploma.......2003-11-14
Ok...let me put this straight...this book is concise...it may not contain everything you learnt...but it does a good job in reviewing the materials for the diploma. It is a good resource if you know the stuff and is just looking for a book to help you revise. I finished my diploma, and got descent good grades by this book, it is concise, and that is what I like...instead of those wordy physics books that can teach you something in less than 1 page...but drags on to 3 with damned terrible confusing english. This is a good book. Buy it. You may even need it if you are studying a course in physics in university.
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