A Practical Guide to Data Analysis for Physical Science Students Review

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A Practical Guide to Data Analysis for Physical Science Students ReviewThis book really covers it all - from error handling and propagation to how to make data regression for data analysis and so on - for the experimental physics student. It's very well written in a direct and right-to-the-point way. Definatly a great book.A Practical Guide to Data Analysis for Physical Science Students OverviewThis textbook is intended for undergraduates who are carrying out laboratory experiments in the physical sciences for the first time.It is a practical guide on how to analyze data and estimate errors.The necessary formulas for performing calculations are given, and the ideas behind them are explained, although this is not a formal text on statistics.Specific examples are worked through step by step in the text.Emphasis is placed on the need to think about whether a calculated error is sensible. Students should take this book with them to the laboratory, and the format is intended to make this convenient.The book will provide the necessary understanding of what is involved, should inspire confidence in the method of estimating errors, and enable numerical calculations without too much effort.

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Classical Invariant Theory (London Mathematical Society Student Texts) Review

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Classical Invariant Theory (London Mathematical Society Student Texts) ReviewExcept for some new terms ( transvectants, Hessians, Syzygies, special Euclidean groups)
and notation ( I haven't figured out exactly what he means by A^(-T) yet, inverse transpose?),
it is a well written book that revives the ancient Hilbert
invariant theory and translates that into
modern terms. I was hooked when I realized the connection to the elliptic invariant.
It has this neat section on Gordon's method of digraphs as algebraic invariants.
I really think some of this could be made where it could be taught to undergraduates without calculus.
For me the treatment of invariants tied a lot of loose ends together.Classical Invariant Theory (London Mathematical Society Student Texts) OverviewThere has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications.The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms.A variety of innovations make this text of interest even to veterans of the subject; these include the use of differential operators and the transform approach to the symbolic method, extension of results to arbitrary functions, graphical methods for computing identities and Hilbert bases, complete systems of rationally and functionally independent covariants, introduction of Lie group and Lie algebra methods, as well as a new geometrical theory of moving frames and applications. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition.

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Basic Training in Mathematics: A Fitness Program for Science Students Review

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Basic Training in Mathematics: A Fitness Program for Science Students ReviewThis is the best book I have found for explaining the math needed by physicists and others in the hard sciences. Shankar uses a very conceptual approach to the mathematics without dwelling on proofs - leaving the reader with an understanding of the mathematics involved. He also tackles difficult ideas like: why are complex numbers necessary and where do they come from? Most books simply assume these ideas and run off into the wild blue yonder with some proofs to give a veneer of completeness, whereas Shankar tries to give a conceptual underpinning that is invaluable when he tackles advanced topics (such as contour integration). His approach throughout is conceptual and pragmatic - giving you a solid understanding for the math you will actually use. Though it is designed for undergraduates, I would also recommend it to anyone either reviewing their math or (re)learning math they should have already known. I used this book to study for the math section of my physics PhD. qualifier and I only wish that I had stumbled across it sooner - it would have made many of my physics courses a lot easier.Basic Training in Mathematics: A Fitness Program for Science Students OverviewBased on course material used by the author at Yale University,this practical text addresses the widening gap found between themathematics required for upper-level courses in the physical sciencesand the knowledge of incoming students. This superb book offersstudents an excellent opportunity to strengthen their mathematicalskills by solving various problems in differential calculus. Bycovering material in its simplest form, students can look forward to asmooth entry into any course in the physical sciences.

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