Algebra: Groups, Rings, and Fields
Publisher: A K Peters Ltd | ISBN: 1568810288 | edition 1995 | File type: PDF | 240 pages | 16,5 mb
Some of the most famous questions in mathematical history have involved equations with coefficients in Z, the set of integers. This book deals with their solutions, which are achieved with an economy of effort through the process of abstraction. It presents both results and their underlying ideas, thus introducing the basic concepts of groups, rings and fields to solve long-standing problems in mathematics. Among the subjects covered are results from number theory, the fundamental theory of algebra, the unconstructability of certain numbers, the characterization of all infinite fields and the unsolvability of the general equation of degree 5.
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Elements of Modern Algebra
Publisher: Brooks Cole | ISBN: 0534373518 | edition 1999 | File type: PDF | 416 pages | 14,6 mb
The authors gradually introduce and develop concepts to help make the material more accessible. This text is intended for the introductory course in algebraic structures and covers groups before rings. This course often is used to bridge the gap from manipulative to theoretical mathematics and to help prepare secondary mathematics teachers for their careers. This text includes some optional sections to give instructors flexibility.
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Starting with the concept that mathematical logic is not a collection of vaguely related results, but a method of attacking some of the most interesting problems which face the mathematician, the author sets the tone for this classic introduction. The basic concepts are presented in an unusually clear and accessible fashion, keeping in mind the original purpose of mathematical logic to build the foundations of this vast edifice of knowledge in a way that helps and intrigues the working mathematician as much as the philosophically minded student of logic. This book has served as a rite of passage to many mature and accomplished researchers.
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Equivariant Stable Homotopy Theory (Lecture Notes in Mathematics 1213)
Publisher: Springer-Verlag | ISBN: 3540168206 | edition 1986 | File type: PDF | 538 pages | 29,6 mb
Equivariant Stable Homotopy Theory by L. Gaunce Jr. Lewis
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his classic work, now available in paperback, outlines the geometric aspects of algebraic equations, one of the oldest and most central subjects in mathematics. Recent decades have seen explosive growth in the more abstract side of algeraic geometry, with great emphasis on new basic techniques. This timely reissue complements these recent innovations, providing a much-needed background in such areas as plane curves, quadratic transformations, the geometry of line systems, and the projective characters of curves and surfaces. Providing a wealth of definitive material, this work will appeal to those interested in algebraic geometry and in more modern abstract studies.
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Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time.
Key features and topics:
* Notes, references, exercises, and a summary and highlights section at the end of each chapter.
* Comprehensive index and answers to selected exercises at the end of the book.
* Necessary mathematical background material included in an appendix.
* Helpful guidelines for the reader in the preface.
* Three core chapters guiding the reader to an excellent understanding of the dynamical behavior of systems.
* Detailed coverage of internal and external system descriptions, including state variable, impulse response and transfer function, polynomial matrix, and fractional representations.
* Explanation of stability, controllability, observability, and realizations with an emphasis on fundamental results.
* Detailed discussion of state-feedback, state-estimation, and eigenvalue assignment.
* Emphasis on time-invariant systems, both continuous- and discrete-time. For full coverage of time-variant systems, the reader is encouraged to refer to the companion book Linear Systems, which contains more detailed descriptions and additional material, including all the proofs of the results presented here.
* Solutions manual available to instructors upon adoption of the text.
A Linear Systems Primer is geared towards first-year graduate and senior undergraduate students in a typical one-semester introductory course on systems and control. It may also serve as an excellent reference or self-study guide for electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers working in control, communications, and signal processing.
Product Description
* Shorter, more concise chapters provide flexible coverage of the subject.
* Expanded coverage includes: uncertainty and randomness, prior distributions, predictivism, estimation, analysis of variance, and classification and imaging.
* Includes topics not covered in other books, such as the de Finetti Transform.
* Author S. James Press is the modern guru of Bayesian statistics.
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