linear algebra modular mathematics series

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Linear Algebra

Author : Reg Allenby
ISBN : 9780080571799
Genre : Mathematics
File Size : 84. 53 MB
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As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has been written in a connected way with ideas introduced as they occur naturally. As with the other books in the series, there are many worked examples.

Maths For Chemists Power Series Complex Numbers And Linear Algebra

Author : Martin Cockett
ISBN : 0854044957
Genre : Education
File Size : 30. 56 MB
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An excellent resource for all undergraduate chemistry students but particularly focussed on the needs of students who may not have studied mathematics beyond GCSE level (or equiv).

Vectors In Two Or Three Dimensions

Author : Ann Hirst
ISBN : 9780080572017
Genre : Mathematics
File Size : 86. 21 MB
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Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions

Groups

Author : Camilla R. Jordan
ISBN : 9780340610459
Genre : Mathematics
File Size : 75. 1 MB
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Introduction to mathematical groups

Linear Algebra

Author : R. B. J. T. Allenby
ISBN : OCLC:48268933
Genre : Algebras, Linear
File Size : 60. 80 MB
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Elementary Linear Algebra

Author : Stephen Andrilli
ISBN : 9780128010471
Genre : Mathematics
File Size : 24. 59 MB
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Elementary Linear Algebra, 5th edition, by Stephen Andrilli and David Hecker, is a textbook for a beginning course in linear algebra for sophomore or junior mathematics majors. This text provides a solid introduction to both the computational and theoretical aspects of linear algebra. The textbook covers many important real-world applications of linear algebra, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. Also, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. The most unique feature of the text is that students are nurtured in the art of creating mathematical proofs using linear algebra as the underlying context. The text contains a large number of worked out examples, as well as more than 970 exercises (with over 2600 total questions) to give students practice in both the computational aspects of the course and in developing their proof-writing abilities. Every section of the text ends with a series of true/false questions carefully designed to test the students’ understanding of the material. In addition, each of the first seven chapters concludes with a thorough set of review exercises and additional true/false questions. Supplements to the text include an Instructor’s Manual with answers to all of the exercises in the text, and a Student Solutions Manual with detailed answers to the starred exercises in the text. Finally, there are seven additional web sections available on the book’s website to instructors who adopt the text. Builds a foundation for math majors in reading and writing elementary mathematical proofs as part of their intellectual/professional development to assist in later math courses Presents each chapter as a self-contained and thoroughly explained modular unit. Provides clearly written and concisely explained ancillary materials, including four appendices expanding on the core concepts of elementary linear algebra Prepares students for future math courses by focusing on the conceptual and practical basics of proofs

Modular Functions And Dirichlet Series In Number Theory

Author : Tom M. Apostol
ISBN : 9781461209997
Genre : Mathematics
File Size : 84. 54 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.

Matrices And Quadratic Forms

Author : John Bowers
ISBN : 0340691387
Genre : Mathematics
File Size : 31. 20 MB
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This is a lively and accessible introduction to matrices and quadratic forms for students in linear algebra. Examples and exercises are used as teaching aids and ideas for investigation and project work help to place the subject in context. The inclusion of historical contexts, real-life situations and the discussion of links with other areas of mathematics will greatly enhance student motivation, making this the perfect classroom tool.

Algebra

Author : Serge Lang
ISBN : 9781461300410
Genre : Mathematics
File Size : 76. 90 MB
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This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet's review of the first edition: "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."

Number Theory

Author : Kalman Gyoery
ISBN : 9783110809794
Genre : Mathematics
File Size : 57. 20 MB
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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

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