Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

ISBN: 048615226X

Category: Mathematics

Page: 336

View: 1454

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Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
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Foundations and Fundamental Concepts of Mathematics

Author: Howard Eves

Publisher: Courier Corporation

ISBN: 048613220X

Category: Mathematics

Page: 368

View: 6828

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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.
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Fundamental Concepts of Algebra

Author: Bruce Elwyn Meserve

Publisher: Courier Corporation

ISBN: 9780486614700

Category: Mathematics

Page: 294

View: 6180

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Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.
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Using History to Teach Mathematics

An International Perspective

Author: Victor J. Katz

Publisher: Cambridge University Press

ISBN: 9780883851630

Category: Mathematics

Page: 261

View: 5134

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This volume examines how the history of mathematics can find application in the teaching of mathematics itself.
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Differential Geometry

Author: Erwin Kreyszig

Publisher: Courier Corporation

ISBN: 0486318621

Category: Mathematics

Page: 384

View: 9305

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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.
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Basic Concepts in Modern Mathematics

Author: John Edward Hafstrom

Publisher: Courier Corporation

ISBN: 0486316270

Category: Mathematics

Page: 208

View: 8289

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In-depth overview, geared toward undergraduates of all backgrounds, covers natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.
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The Concept of a Riemann Surface

Author: Hermann Weyl

Publisher: Courier Corporation

ISBN: 048613167X

Category: Mathematics

Page: 208

View: 7044

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This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
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The Theory of Groups

Author: Hans Zassenhaus

Publisher: Courier Dover Publications

ISBN: 9780486409221

Category: Mathematics

Page: 265

View: 7645

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Group theory represents one of the most fundamental elements of mathematics. Indispensable in nearly every branch of the field, concepts from the theory of groups also have important applications beyond mathematics, in such areas as quantum mechanics and crystallography. Hans J. Zassenhaus, a pioneer in the study of group theory, has designed this useful, well-written, graduate-level text to acquaint the reader with group-theoretic methods and to demonstrate their usefulness as tools in the solution of mathematical and physical problems. Starting with an exposition of the fundamental concepts of group theory, including an investigation of axioms, the calculus of complexes, and a theorem of Frobenius, the author moves on to a detailed investigation of the concept of homomorphic mapping, along with an examination of the structure and construction of composite groups from simple components. The elements of the theory of p-groups receive a coherent treatment, and the volume concludes with an explanation of a method by which solvable factor groups may be split off from a finite group. Many of the proofs in the text are shorter and more transparent than the usual, older ones, and a series of helpful appendixes presents material new to this edition. This material includes an account of the connections between lattice theory and group theory, and many advanced exercises illustrating both lattice-theoretical ideas and the extension of group-theoretical concepts to multiplicative domains.
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Introduction to Mathematical Thinking

The Formation of Concepts in Modern Mathematics

Author: Friedrich Waismann

Publisher: Courier Corporation

ISBN: 0486167429

Category: Mathematics

Page: 272

View: 2113

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Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.
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