Introductory Mathematics: Algebra and Analysis, Smith, Geoffrey C.
Автор: Paolo Aluffi Название: Algebra ISBN: 1108958230 ISBN-13(EAN): 9781108958233 Издательство: Cambridge Academ Рейтинг: Цена: 33790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This conversational introduction to abstract algebra takes a modern, rings-first approach. In addition to its unconventional order of classical material, another key feature is the treatment of topics often neglected in undergraduate textbooks, such as modules. More than 400 exercises are included, 150 of which are carefully worked out.
Автор: Lang Название: Algebra ISBN: 038795385X ISBN-13(EAN): 9780387953854 Издательство: Springer Рейтинг: Цена: 48750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: "Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS"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." MATHEMATICAL REVIEWSThis 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. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.
Автор: Strang, Gilbert (massachusetts Institute Of Technology) Название: Introduction to linear algebra, 6 ed. ISBN: 1733146679 ISBN-13(EAN): 9781733146678 Издательство: Amazon Internet Рейтинг: Цена: 0.00 T Наличие на складе: Невозможна поставка. Описание: Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners.
Автор: Trefethen, Lloyd N. Bau, David, Iii Название: Numerical linear algebra ISBN: 0898713617 ISBN-13(EAN): 9780898713619 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 64370.00 T Наличие на складе: Поставка под заказ. Описание: Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.
Автор: E.B. Vinberg Название: A Course in Algebra Graduate Studies in Mathematics, Volume: 56 ISBN: 0821834134 ISBN-13(EAN): 9780821834138 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 34490.00 T Наличие на складе: Есть Описание: Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.
Автор: Browder Andrew Название: Mathematical Analysis / An Introduction ISBN: 0387946144 ISBN-13(EAN): 9780387946146 Издательство: Springer Рейтинг: Цена: 36910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level.The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions, differentiation, and the Riemann integral. The middle chapters cover general topology and a miscellany of applications: the Weierstrass and Stone-Weierstrass approximation theorems, the existence of geodesics in compact metric spaces, elements of Fourier analysis, and the Weyl equidistribution theorem. Next comes a discussion of differentiation of vector-valued functions of several real variables, followed by a brief treatment of measure and integration (in a general setting, but with emphasis on Lebesgue theory in Euclidean space). The final part of the book deals with manifolds, differential forms, and Stokes' theorem, which is applied to prove Brouwer's fixed point theorem and to derive the basic properties of harmonic functions, such as the Dirichlet principle.
Автор: Thomas A. Garrity Название: All the Math You Missed ISBN: 1009009192 ISBN-13(EAN): 9781009009195 Издательство: Cambridge Academ Рейтинг: Цена: 26400.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of this bestselling book provides an overview of the key topics in undergraduate mathematics, allowing beginning graduate students to fill in any gaps in their knowledge. With numerous examples, exercises and suggestions for further reading, it is a must-have for anyone looking to learn some serious mathematics quickly.
Автор: Lee, Gregory T. Название: Abstract algebra ISBN: 3319776487 ISBN-13(EAN): 9783319776484 Издательство: Springer Рейтинг: Цена: 28450.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields.
Автор: Gockenbach Название: Understanding and Implementing the Finite Element Method ISBN: 0898716144 ISBN-13(EAN): 9780898716146 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 100320.00 T Наличие на складе: Поставка под заказ. Описание: The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
Автор: Stahl Название: Introductory Modern Algebra - A Historical Approach, Second Edition ISBN: 0470876166 ISBN-13(EAN): 9780470876169 Издательство: Wiley Рейтинг: Цена: 105550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Praise for the First Edition "Stahl offers the solvability of equations from the historical point of view. one of the best books available to support a one-semester introduction to abstract algebra.
Автор: Charles W. Curtis Название: Linear Algebra ISBN: 0387909923 ISBN-13(EAN): 9780387909929 Издательство: Springer Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Designed for upper division courses in linear algebra, this book includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. It includes sections that are devoted to applications of linear algebra, which can either be part of a course, or used for independent study.
This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.
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