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Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.
Book Synopsis An Introduction to the Theory of Linear Spaces by : Georgi E. Shilov
Download or read book An Introduction to the Theory of Linear Spaces written by Georgi E. Shilov and published by Courier Corporation. This book was released on 2012-12-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.
Book Synopsis An Introduction to the Theory of Linear Spaces by : Georgij E. Šilov
Download or read book An Introduction to the Theory of Linear Spaces written by Georgij E. Šilov and published by . This book was released on 1974 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An introduction to the theory of linear spaces, tr by : Georgiĭ Evgenʹevich Shilov
Download or read book An introduction to the theory of linear spaces, tr written by Georgiĭ Evgenʹevich Shilov and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Theory of Linear Spaces by :
Download or read book An Introduction to the Theory of Linear Spaces written by and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Book Synopsis A Primer on Hilbert Space Theory by : Carlo Alabiso
Download or read book A Primer on Hilbert Space Theory written by Carlo Alabiso and published by Springer. This book was released on 2014-10-08 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Book Synopsis Introduction to the Theory of Linear Nonselfadjoint Operators by : Israel Gohberg
Download or read book Introduction to the Theory of Linear Nonselfadjoint Operators written by Israel Gohberg and published by American Mathematical Soc.. This book was released on 1978 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. A combinatorial approach is used for the greater part of the book but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there are exercises and a section of research problems.
Book Synopsis The Theory of Finite Linear Spaces by : Lynn Margaret Batten
Download or read book The Theory of Finite Linear Spaces written by Lynn Margaret Batten and published by Cambridge University Press. This book was released on 1993-11-26 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. A combinatorial approach is used for the greater part of the book but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there are exercises and a section of research problems.
This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
Book Synopsis Groups, Matrices, and Vector Spaces by : James B. Carrell
Download or read book Groups, Matrices, and Vector Spaces written by James B. Carrell and published by Springer. This book was released on 2017-09-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
Book Synopsis An Introduction to the Theory of Linear Spaces by : Georgi Eugen Shilov (Mathematiker.)
Download or read book An Introduction to the Theory of Linear Spaces written by Georgi Eugen Shilov (Mathematiker.) and published by . This book was released on 1961 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Theory of Linear Spaces by : Georgij Evgen'evič forme avant 2007 Šilov
Download or read book An Introduction to the Theory of Linear Spaces written by Georgij Evgen'evič forme avant 2007 Šilov and published by . This book was released on 1974 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
