Автор: Hall Brian Название: Lie Groups, Lie Algebras, and Representations ISBN: 3319134663 ISBN-13(EAN): 9783319134666 Издательство: Springer Рейтинг: Цена: 50810.00 T Наличие на складе: Невозможна поставка. Описание:
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.
In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:
a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments
The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincar -Birkhoff-Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.
Review of the first edition
This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.
-- The Mathematical Gazette
Автор: Benjamin Fine, Anthony Gaglione, Alexei Myasnikov, Название: The Elementary Theory of Groups: A Guide through the Proofs of the Tarski Conjectures ISBN: 3110341999 ISBN-13(EAN): 9783110341997 Издательство: Walter de Gruyter Рейтинг: Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.
Автор: Kirkwood Название: Elementary Linear Algebra ISBN: 149877685X ISBN-13(EAN): 9781498776851 Издательство: Taylor&Francis Рейтинг: Цена: 91860.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the second of a two-part set of books for the undergraduate linear algebra sequence. The text is for more advanced courses taught in mathematics departments. This course is based around matrix theory and focused on the theory of linear algebra. Along with the chapters found in Elementary Linear Algebra, he offers seven additional chapters .
Автор: Ellis Wade, Burzynski Denny Название: Elementary Algebra ISBN: 9888407465 ISBN-13(EAN): 9789888407460 Издательство: Неизвестно Рейтинг: Цена: 115030.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Fischer Ronald J. Название: Elementary Algebra: With Common Errors and True-False Drill ISBN: 1480877123 ISBN-13(EAN): 9781480877122 Издательство: Неизвестно Рейтинг: Цена: 11950.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Students of mathematics are often baffled by their own algebraic mistakes-and with good reason. The common manipulation errors of elementary algebra so closely resemble the actual laws that they can be called nonlaws. Students from algebra one through college algebra and calculus continue to make these deceptive errors.
Elementary Algebra explores the differences between algebraic laws and nonlaws, hoping to aid students in eliminating or significantly reducing the most frequently occurring issues. It offers drills for the student via true-false questions and word problems and also includes sections on the important annuity formula used in banking. With its specific focus on overcoming typical problems in algebraic study, this handbook provides valuable support for students at many levels.
Serving as a supplement for any course that uses algebra, this textbook presents mathematics students with a guide to help master common errors of the subject.
Автор: Rich, Barnett Schmidt, Philip Название: Schaum`s outline of elementary algebra ISBN: 0071611630 ISBN-13(EAN): 9780071611633 Издательство: McGraw-Hill Рейтинг: Цена: 36590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Schaum`s Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
Автор: Stephen Andrilli Название: Elementary Linear Algebra ISBN: 0128008539 ISBN-13(EAN): 9780128008539 Издательство: Elsevier Science Рейтинг: Цена: 117900.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Benson Название: Representations of Elementary Abelian p -Groups and Vector Bundles ISBN: 1107174171 ISBN-13(EAN): 9781107174177 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
Автор: Herman, Jiri Kucera, Radan Simsa, Jaromir Название: Equations and inequalities ISBN: 1461270715 ISBN-13(EAN): 9781461270713 Издательство: Springer Рейтинг: Цена: 62380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations.
Автор: Jiri Herman; K. Dilcher; Radan Kucera; Jaromir Sim Название: Equations and Inequalities ISBN: 0387989420 ISBN-13(EAN): 9780387989426 Издательство: Springer Рейтинг: Цена: 62380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers a look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. This book teaches techniques and skills which are useful beyond the specific topics covered here.
Автор: Caminha Muniz Neto, Antonio Название: Excursion through elementary mathematics, volume iii ISBN: 3319779761 ISBN-13(EAN): 9783319779768 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With problems from National and International Mathematical Olympiads
Автор: Fischer Ronald J. Название: Elementary Algebra: With Common Errors and True-False Drill ISBN: 1480877107 ISBN-13(EAN): 9781480877108 Издательство: Неизвестно Рейтинг: Цена: 28460.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Students of mathematics are often baffled by their own algebraic mistakes-and with good reason. The common manipulation errors of elementary algebra so closely resemble the actual laws that they can be called nonlaws. Students from algebra one through college algebra and calculus continue to make these deceptive errors.
Elementary Algebra explores the differences between algebraic laws and nonlaws, hoping to aid students in eliminating or significantly reducing the most frequently occurring issues. It offers drills for the student via true-false questions and word problems and also includes sections on the important annuity formula used in banking. With its specific focus on overcoming typical problems in algebraic study, this handbook provides valuable support for students at many levels.
Serving as a supplement for any course that uses algebra, this textbook presents mathematics students with a guide to help master common errors of the subject.
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