Search Results for "algebraic-topology-homology-and-cohomology-dover-books-on-mathematics"

Algebraic Topology

Algebraic Topology

Homology and Cohomology

  • Author: Andrew H. Wallace
  • Publisher: Courier Corporation
  • ISBN: 0486462390
  • Category: Mathematics
  • Page: 272
  • View: 1657
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Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

Algebraic Topology

Algebraic Topology

  • Author: C. R. F. Maunder
  • Publisher: Courier Corporation
  • ISBN: 9780486691312
  • Category: Mathematics
  • Page: 375
  • View: 3358
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Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Homology Theory on Algebraic Varieties

Homology Theory on Algebraic Varieties

  • Author: Andrew H. Wallace
  • Publisher: Courier Corporation
  • ISBN: 0486799905
  • Category: Mathematics
  • Page: 128
  • View: 3720
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Concise and authoritative monograph, geared toward advanced undergraduate and graduate students, covers linear sections, singular and hyperplane sections, Lefschetz's first and second theorems, the Poincaré formula, and invariant and relative cycles. 1958 edition.

Topology

Topology

  • Author: John G. Hocking,Gail S. Young
  • Publisher: Courier Corporation
  • ISBN: 0486141098
  • Category: Mathematics
  • Page: 384
  • View: 4428
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Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

Kategorien und Funktoren

Kategorien und Funktoren

  • Author: Bodo Pareigis
  • Publisher: N.A
  • ISBN: N.A
  • Category: Categories (Mathematics)
  • Page: 192
  • View: 3218
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Lectures on the Mathematical Method in Analytical Economics

Lectures on the Mathematical Method in Analytical Economics

  • Author: Jacob T. Schwartz
  • Publisher: Courier Dover Publications
  • ISBN: 0486835596
  • Category: Mathematics
  • Page: 304
  • View: 4942
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Early but still useful contribution to the science of mathematical economics explores the Leontif model and the technological basis of production, theory of business cycles, and neoclassical equilibrium theory. 1961 edition.

Cohomology Operations and Applications in Homotopy Theory

Cohomology Operations and Applications in Homotopy Theory

  • Author: Robert E. Mosher,Martin C. Tangora
  • Publisher: Courier Corporation
  • ISBN: 0486466647
  • Category: Mathematics
  • Page: 214
  • View: 6021
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Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.

Manifolds and Modular Forms

Manifolds and Modular Forms

  • Author: Friedrich Hirzebruch
  • Publisher: Springer-Verlag
  • ISBN: 3663140458
  • Category: Mathematics
  • Page: 212
  • View: 8839
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Transcendental and Algebraic Numbers

Transcendental and Algebraic Numbers

  • Author: A. O. Gelfond
  • Publisher: Courier Dover Publications
  • ISBN: 0486802256
  • Category: Mathematics
  • Page: 208
  • View: 496
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Primarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers. Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.

Topology and Geometry for Physicists

Topology and Geometry for Physicists

  • Author: Charles Nash,Siddhartha Sen
  • Publisher: Courier Corporation
  • ISBN: 0486318362
  • Category: Mathematics
  • Page: 320
  • View: 4345
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Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research. "Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

Scientific and Technical Books in Print

Scientific and Technical Books in Print

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Engineering
  • Page: N.A
  • View: 3213
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The Functions of Mathematical Physics

The Functions of Mathematical Physics

  • Author: Harry Hochstadt
  • Publisher: Courier Corporation
  • ISBN: 0486652149
  • Category: Science
  • Page: 322
  • View: 2847
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A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

The Real Number System in an Algebraic Setting

The Real Number System in an Algebraic Setting

  • Author: J. B. Roberts
  • Publisher: Courier Dover Publications
  • ISBN: 0486824519
  • Category: Mathematics
  • Page: 160
  • View: 6092
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Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the nonnegative real numbers and the set of all real numbers. 1962 edition.

Partielle Differentialgleichungen und numerische Methoden

Partielle Differentialgleichungen und numerische Methoden

  • Author: Stig Larsson,Vidar Thomee
  • Publisher: Springer-Verlag
  • ISBN: 3540274227
  • Category: Mathematics
  • Page: 272
  • View: 3443
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Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Principia Mathematica.

Principia Mathematica.

  • Author: Alfred North Whitehead,Bertrand Russell
  • Publisher: N.A
  • ISBN: N.A
  • Category: Logic, Symbolic and mathematical
  • Page: 167
  • View: 6108
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Dirac-Operatoren in der Riemannschen Geometrie

Dirac-Operatoren in der Riemannschen Geometrie

Mit einem Ausblick auf die Seiberg-Witten-Theorie

  • Author: Thomas Friedrich
  • Publisher: Springer-Verlag
  • ISBN: 3322803023
  • Category: Mathematics
  • Page: 207
  • View: 5228
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Dieses Buch entstand nach einer einsemestrigen Vorlesung an der Humboldt-Universität Berlin im Studienjahr 1996/ 97 und ist eine Einführung in die Theorie der Spinoren und Dirac-Operatoren über Riemannschen Mannigfaltigkeiten. Vom Leser werden nur die grundlegenden Kenntnisse der Algebra und Geometrie im Umfang von zwei bis drei Jahren eines Mathematik- oder Physikstudiums erwartet. Ein Anhang gibt eine Einführung in das aktuelle Gebiet der Seiberg-Witten-Theorie.

Theoretische Konzepte der Physik

Theoretische Konzepte der Physik

Eine alternative Betrachtung

  • Author: Malcolm S. Longair
  • Publisher: Springer-Verlag
  • ISBN: 3642761119
  • Category: Science
  • Page: 380
  • View: 2471
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"Dies ist kein Lehrbuch der theoretischen Physik, auch kein Kompendium der Physikgeschichte ... , vielmehr eine recht anspruchsvolle Sammlung historischer Miniaturen zur Vergangenheit der theoretischen Physik - ihrer "Sternstunden", wenn man so will. Frei vom Zwang, etwas Erschöpfendes vorlegen zu müssen, gelingt dem Autor etwas Seltenes: einen "lebendigen" Zugang zum Ideengebäude der modernen Physik freizulegen, ... zu zeigen, wie Physik in praxi entsteht... Als Vehikel seiner Absichten dienen dem Autor geschichtliche Fallstudien, insgesamt sieben an der Zahl. Aus ihnen extrahiert er das seiner Meinung nach Lehrhafte, dabei bestrebt, mathematische Anachronismen womöglich zu vermeiden... Als Student hätte ich mir diese gescheiten Essays zum Werden unserer heutigen physikalischen Weltsicht gewünscht. Sie sind originell, didaktisch klug und genieren sich auch nicht, von der Faszination zu sprechen, die ... von der Physik ausgeht. Unnötig darauf hinzuweisen, das sie ein gründliches "konventionelles" Studium weder ersetzen wollen noch können, sie vermögen aber, dazu zu ermuntern." #Astronomische Nachrichten (zur englischen Ausgabe)#1

guide to the literature of mathematics and physics

guide to the literature of mathematics and physics

  • Author: nathan grier parke III
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 4705
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Die Idee der Riemannschen Fläche

Die Idee der Riemannschen Fläche

mit 28 in den text Gedruckten Figuren

  • Author: Hermann Weyl
  • Publisher: N.A
  • ISBN: N.A
  • Category: Riemann surfaces
  • Page: 183
  • View: 7453
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The Geometry of René Descartes

The Geometry of René Descartes

with a Facsimile of the First Edition

  • Author: René Descartes
  • Publisher: Courier Corporation
  • ISBN: 0486158179
  • Category: Mathematics
  • Page: 272
  • View: 1732
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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.