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Differential Forms in Algebraic Topology, Raoul Bott; Loring W. Tu


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Автор: Raoul Bott; Loring W. Tu
Название:  Differential Forms in Algebraic Topology
Перевод названия: Рауль Ботт: Дифференциальные формы в алгебраических топологиях
ISBN: 9781441928153
Издательство: Springer
Классификация: ISBN-10: 1441928154
Обложка/Формат: Paperback
Страницы: 338
Вес: 0.49 кг.
Дата издания: 26.05.2011
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 19
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord- ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites. There are more materials here than can be reasonably covered in a one-semester course. Certain sections may be omitted at first reading with- out loss of continuity. We have indicated these in the schematic diagram that follows. This book is not intended to be foundational; rather, it is only meant to open some of the doors to the formidable edifice of modern algebraic topology. We offer it in the hope that such an informal account of the subject at a semi-introductory level fills a gap in the literature.

      Старое издание

Автор: Raoul Bott; Loring W. Tu
Название: Differential Forms in Algebraic Topology
ISBN: 0387906134 ISBN-13(EAN): 9780387906133
Издательство: Springer
Цена: 51200 T
Описание: Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes.


Differential Equations and Linear Algebra

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
Рейтинг:
Цена: 60180.00 T
Наличие на складе: Невозможна поставка.
Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Solving Ordinary Differential Equations II / Stiff and Differential-Algebraic Problems

Автор: Hairer Ernst, Wanner Gerhard
Название: Solving Ordinary Differential Equations II / Stiff and Differential-Algebraic Problems
ISBN: 3540604529 ISBN-13(EAN): 9783540604525
Издательство: Springer
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Цена: 149060.00 T
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Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.

Автор: Raoul Bott; Loring W. Tu
Название: Differential Forms in Algebraic Topology
ISBN: 0387906134 ISBN-13(EAN): 9780387906133
Издательство: Springer
Рейтинг:
Цена: 51200.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes.

Atlas of Differential Diagnosis in Neoplastic Hematopathology, Third Edition

Автор: Gorczyca
Название: Atlas of Differential Diagnosis in Neoplastic Hematopathology, Third Edition
ISBN: 1482212218 ISBN-13(EAN): 9781482212211
Издательство: Taylor&Francis
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Цена: 171490.00 T
Наличие на складе: Есть
Описание:

Management of tumor patients now relies on new individualized approaches to treatment, requiring extensive knowledge of the molecular makeup of tumors. Updated and expanded, the third edition of Atlas of Differential Diagnosis in Neoplastic Hematopathology examines not only the differential diagnosis but also the detailed morphologic, immunophenotypic, and especially genetic characteristics of the majority of hematolymphoid malignancies.

Featuring a new structure and including new chapters, the third edition updates all content and presents considerable expansion on many topics, including:

  • Metaphase cytogenetic and FISH
  • Flow cytometry (overview and detailed analysis of specific tumors)
  • Acute myeloid leukemia and new classification schemes
  • MDS, AML, and B- and T-cell lymphoproliferations
  • Abnormal patterns in the lymph node and bone marrow with detail differential diagnosis based on histologic features and cellular composition
  • Detailed differential diagnosis based on the expression of broad list of antigenic markers (flow cytometry and immunohistochemistry)
  • Extranodal lymphomas
  • Diagnosis of MDS and myeloproliferative neoplasm and their differential diagnosis based on the morphologic, flow cytometric, and chromosomal features

The book also provides expanded differential diagnosis of the most common as well as most difficult and rare entities, including morphologic, immunophenotypic, and karyotypic/molecular features. This edition includes updated algorithms for most common diagnoses as well as several new algorithms. The majority of figures have been revised and are in full color.

 

 


Introduction to Differential and Algebraic Topology

Автор: Yu.G. Borisovich; N.M. Bliznyakov; T.N. Fomenko; Y
Название: Introduction to Differential and Algebraic Topology
ISBN: 9048145589 ISBN-13(EAN): 9789048145584
Издательство: Springer
Рейтинг:
Цена: 71730.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo- logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo- logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap- ter, according to the authors' intention, should acquaint readers with topolo- gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con- structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately.

Lectures on Algebraic and Differential Topology

Автор: R. Bott; S. Gitler
Название: Lectures on Algebraic and Differential Topology
ISBN: 354005944X ISBN-13(EAN): 9783540059448
Издательство: Springer
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Цена: 23250.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Neurologic Differential Diagnosis

Автор: Ettinger
Название: Neurologic Differential Diagnosis
ISBN: 1107014557 ISBN-13(EAN): 9781107014558
Издательство: Cambridge Academ
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Цена: 124610.00 T
Наличие на складе: Поставка под заказ.
Описание: Using a case study approach, each chapter is dedicated to a specific presenting symptom or sign and includes the associated key features, quickly reminding the clinician which investigations are needed in the doctor-patient encounter. An invaluable text for neurologists and psychiatrists at all stages of training.

Differential Forms and the Geometry of General Relativity

Автор: Dray Tevian
Название: Differential Forms and the Geometry of General Relativity
ISBN: 1466510005 ISBN-13(EAN): 9781466510005
Издательство: Taylor&Francis
Рейтинг:
Цена: 112290.00 T
Наличие на складе: Невозможна поставка.
Описание:

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.

The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of index gymnastics as much as possible.

The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.


Elliptic Curves and Modular Forms in Algebraic Topology

Автор: Peter S. Landweber
Название: Elliptic Curves and Modular Forms in Algebraic Topology
ISBN: 3540194908 ISBN-13(EAN): 9783540194903
Издательство: Springer
Рейтинг:
Цена: 41920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

Differential Geometry

Автор: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
Рейтинг:
Цена: 59620.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.

Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
Рейтинг:
Цена: 63360.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Differential forms

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
Рейтинг:
Цена: 98800.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.


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