Geometric Algebra


Author: Emil Artin
Publisher: Courier Dover Publications
ISBN: 048680920X
Category: Mathematics
Page: 224
View: 8720
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This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

Galoissche Theorie


Author: Emil Artin
Publisher: N.A
ISBN: N.A
Category: Galois theory
Page: 86
View: 1545
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Rudiments of Algebraic Geometry


Author: W.E. Jenner
Publisher: Courier Dover Publications
ISBN: 0486818063
Category: Mathematics
Page: 112
View: 8214
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Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.

Algebraic Geometry


Author: Solomon Lefschetz
Publisher: Courier Corporation
ISBN: 0486154726
Category: Mathematics
Page: 256
View: 8065
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An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

Linear Algebra and Projective Geometry


Author: Reinhold Baer
Publisher: Courier Corporation
ISBN: 0486154661
Category: Mathematics
Page: 336
View: 6967
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Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.

Linear Algebra and Geometry

A Second Course
Author: Irving Kaplansky
Publisher: Courier Corporation
ISBN: 9780486432335
Category: Mathematics
Page: 143
View: 4123
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The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.

Elementary Algebraic Geometry

Second Edition
Author: Keith Kendig
Publisher: Courier Dover Publications
ISBN: 048680187X
Category: Mathematics
Page: 320
View: 3892
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Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter that focuses on examples of curves is followed by a more rigorous and careful look at plane curves. Subsequent chapters explore commutative ring theory and algebraic geometry as well as varieties of arbitrary dimension and some elementary mathematics on curves. Upon finishing the text, students will have a foundation for advancing in several different directions, including toward a further study of complex algebraic or analytic varieties or to the scheme-theoretic treatments of algebraic geometry. 2015 edition.

Lectures on Linear Algebra


Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486660820
Category: Mathematics
Page: 185
View: 9201
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Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Algebraic Topology


Author: C. R. F. Maunder
Publisher: Courier Corporation
ISBN: 9780486691312
Category: Mathematics
Page: 375
View: 3414
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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.

Challenging Problems in Geometry


Author: Alfred S. Posamentier,Charles T. Salkind
Publisher: Courier Corporation
ISBN: 0486134865
Category: Mathematics
Page: 256
View: 6996
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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Differentialgeometrie von Kurven und Flächen


Author: Manfredo P. do Carmo
Publisher: Springer-Verlag
ISBN: 3322850722
Category: Technology & Engineering
Page: 263
View: 9748
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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Der absolute Differentialkalkül und seine Anwendungen in Geometrie und Physik


Author: Tullio Levi-Civita
Publisher: N.A
ISBN: N.A
Category: Calculus of tensors
Page: 310
View: 790
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Foundations and Fundamental Concepts of Mathematics


Author: Howard Eves
Publisher: Courier Corporation
ISBN: 048613220X
Category: Mathematics
Page: 368
View: 2066
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Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

(K)ein Gespür für Zahlen

So bekommt man den Durchblick in Mathe
Author: Barbara Oakley
Publisher: MVG Verlag
ISBN: 3864157811
Category: Mathematics
Page: 352
View: 9478
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Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den kreativen Geist. Denn noch mehr als um Formeln geht es um die Freiheit, einen der vielen möglichen Lösungsansätze zu finden. Der Weg ist das Ziel. Und wie man zum richtigen Ergebnis kommt, ist eine Kunst, die man entwickeln, entdecken und in sich wecken kann. Die Autorin vermittelt eine Vielfalt an Techniken und Werkzeugen, die das Verständnis von Mathematik und Naturwissenschaft grundlegend verbessern. (K)ein Gespür für Zahlen nimmt Ihnen — vor allem wenn Sie sich in Schule, Uni oder Beruf mathematisch oder naturwissenschaftlich beweisen müssen — nicht nur die Grundangst, sondern stärkt Ihren Mut, Ihren mathematischen Fähigkeiten zu vertrauen. So macht Mathe Spaß!

Differential Geometry


Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Category: Mathematics
Page: 400
View: 4716
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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Geometry: A Comprehensive Course


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category: Mathematics
Page: 464
View: 7115
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Die Gruppentheoretische Methode in der Quantenmechanik


Author: Bartel Leendert van der Waerden
Publisher: Springer-Verlag
ISBN: 3662021870
Category: Mathematics
Page: 160
View: 6485
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

An Introduction to Linear Algebra and Tensors


Author: M. A. Akivis,V. V. Goldberg
Publisher: Courier Corporation
ISBN: 0486148785
Category: Mathematics
Page: 192
View: 1091
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Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Differential Geometry of Curves and Surfaces

Revised and Updated Second Edition
Author: Manfredo P. do Carmo
Publisher: Courier Dover Publications
ISBN: 0486806995
Category: Mathematics
Page: 512
View: 7630
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One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.