Автор: Daniel J. Velleman Название: How to Prove It : A Structured Approach ISBN: 1108439535 ISBN-13(EAN): 9781108439534 Издательство: Cambridge Academ Рейтинг: Цена: 5861.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proofs play a central role in advanced mathematics and theoretical computer science, and this bestselling text`s third edition will help students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs, with a new chapter on number theory and over 150 new exercises.
Автор: Mac Lane Название: Categories for the Working Mathematician ISBN: 0387984038 ISBN-13(EAN): 9780387984032 Издательство: Springer Рейтинг: Цена: 6824.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Автор: P. R. Halmos Название: Naive Set Theory ISBN: 0387900926 ISBN-13(EAN): 9780387900926 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Every mathematician agrees that every mathematician must know some set theory; The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism.
Автор: Masaki Kashiwara, Pierre Schapira Название: Categories and Sheaves ISBN: 3642066208 ISBN-13(EAN): 9783642066207 Издательство: Springer Рейтинг: Цена: 7805.00 р. 9756.00-20% Наличие на складе: Есть (1 шт.) Описание:
Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays.
This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.
The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.
Автор: Meliot, Pierre-Loic Название: Representation Theory of Symmetric Groups ISBN: 1032476923 ISBN-13(EAN): 9781032476926 Издательство: Taylor&Francis Рейтинг: Цена: 7501.00 р. Наличие на складе: Нет в наличии.
Описание: Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today's students to representation theory of the symmetric groups, namely classical theory.
From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups.
Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
Автор: Mazur Название: Prime Numbers and the Riemann Hypothesis ISBN: 1107499437 ISBN-13(EAN): 9781107499430 Издательство: Cambridge Academ Рейтинг: Цена: 3802.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.
Автор: Steven Givant; Paul Halmos Название: Introduction to Boolean Algebras ISBN: 0387402934 ISBN-13(EAN): 9780387402932 Издательство: Springer Рейтинг: Цена: 5239.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for advanced undergraduates and beginning graduate students, this book treats Boolean algebras, develops some ideas, and provides insights. It includes explanation of the relationship between Boolean rings and Boolean algebras. It features chapters on topology and on continuous functions.
Автор: Hall Brian Название: Lie Groups, Lie Algebras, and Representations ISBN: 3319134663 ISBN-13(EAN): 9783319134666 Издательство: Springer Рейтинг: Цена: 7622.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Paris Название: Pure Inductive Logic ISBN: 1107042305 ISBN-13(EAN): 9781107042308 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book establishes pure inductive logic as a contemporary branch of mathematical logic. Collecting together research from a wide range of sources within one unified context, it provides both a comprehensive account of the subject up to cutting-edge modern research, and an accessible reference for the philosopher or computer scientist.
Описание: This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.
Автор: Simon Colton Название: Automated Theory Formation in Pure Mathematics ISBN: 1447111133 ISBN-13(EAN): 9781447111139 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Building on over 20 years of research into constructing an automated mathematician carried out in Professor Alan Bundy`s mathematical reasoning group in Edinburgh, Dr. Colton has implemented the HR system as a solution to the problem of forming theories by computer.
Автор: Ortegуn Gallego Francisco, Garcнa Garcнa Juan Ignacio Название: Recent Advances in Pure and Applied Mathematics ISBN: 3030413209 ISBN-13(EAN): 9783030413200 Издательство: Springer Цена: 6097.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil.
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