linear algebra modular mathematics series

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Advanced Linear Algebra

Author : Steven Roman
ISBN : 9781475721782
Genre : Mathematics
File Size : 21. 8 MB
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This book covers an especially broad range of topics, including some topics not generally found in linear algebra books The first part details the basics of linear algebra. Coverage then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators.

Linear Algebra

Author : R. B. J. T. Allenby
ISBN : 9780340610442
Genre : Mathematics
File Size : 28. 90 MB
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Linear algebra is the most widely taught sub-division of pure mathematics, the basis of equation (and therefore problem) solving. This book includes historical information about the founders of the subject, together with a basic introduction to linear alge

Rings Modules And Linear Algebra

Author : B. Hartley
ISBN : OCLC:477031274
Genre :
File Size : 71. 45 MB
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Rings Modules And Linear Algebra

Author : Brian Hartley
ISBN :
Genre :
File Size : 43. 58 MB
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Groups

Author : Camilla R. Jordan
ISBN : 9780340610459
Genre : Mathematics
File Size : 72. 71 MB
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Introduction to mathematical groups

Advanced Linear Algebra

Author : Nicholas Loehr
ISBN : 9781466559011
Genre : Mathematics
File Size : 44. 96 MB
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Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The book’s 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules. Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems. Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises.

Modular Functions And Dirichlet Series In Number Theory

Author : Tom M. Apostol
ISBN : 9781461209997
Genre : Mathematics
File Size : 76. 46 MB
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A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

Linear Algebra And Geometry

Author : Igor R. Shafarevich
ISBN : 9783642309946
Genre : Mathematics
File Size : 89. 27 MB
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This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

Algebra I

Author : N. Bourbaki
ISBN : 3540642439
Genre : Mathematics
File Size : 71. 68 MB
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This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Algebre'. It gives a thorough exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects; groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, especially with respect to the tensor product and duality constructions. The third chapter investigates algebras, in particular tensor algebras. Determinants, norms, traces and derivations are also studied.

Springboard Which Degree Directory Series

Author :
ISBN : UCAL:$B337560
Genre : Degrees, Academic
File Size : 20. 71 MB
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