Fundamentals of mathematics

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Fundamentals of mathematics / edited by H. Behnke ... [et al.] ; with the assistance of H. Gerike ... [et al.] ; translated by S.H. Gould

資料種別:: 図書
出版情報:: Cambridge, Mass. : MIT Press, c1974
形態:: 2 v. ; 24 cm
著者名:: Behnke, Heinrich, 1898- <DA00888198>
ISBN:: 9780262020695 [0262020696] (v. 2)
9780262020497 [0262020491] (v. 3)
書誌ID:: BA4371181X

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その他の標題:

Grundzüge der Mathematik

注記:

Translation of Grundzüge der Mathematik
子書誌あり
Includes bibliographies and index

主題:

Mathematics--1961-

言語:

英語

目次情報:

Translator's Foreword

Preface

Foundations of Geometry / Part A：

Geometry--A Phenomenological Discussion / H. Freudenthal ; A. Bauer1：

Points, Vectors, and Reflections / F. Bachmann ; J. Boczeck2：

Affine and Projective Planes / R. Lingenberg3：

Euclidean Planes / J. Diller4：

Absolute Geometry / W. Pejas ; H. Wolff5：

The Classical Euclidean and the Classical Hyperbolic Geometry / H. Karzel ; E. Ellers6：

Geometric Constructions / W. Breidenbach ; W. Suss7：

Polygons and Polyhedra / J. Gerretsen ; P. Verdenduin8：

Analytic Treatment of Geometry / Part B：

Affine and Euclidean Geometry / F. Flohr ; F. Raith9：

From Projective to Euclidean Geometry / 10：

Algebraic Geometry / W. Burau11：

Erlanger Program and Higher Geometry / H. Kunle ; K. Fladt12：

Group Theory and Geometry / H.-G. Steiner13：

Differential Geometry of Curves and Surfaces / H. Gericke ; K. H. Berger14：

Convex Figures / U. Viet15：

Aspects of Topology / K. H. Weise ; H. Noack16：

Index

Convergence / H. Rau

Functions / H. Wasche

Integral and Measure / E. Schieferdecker ; K. Strehlke

Fundamental Concepts of the Theory of Probability / L. Schmetterer3a：

Alternating Differential Forms / F. Sommer ; B. Reimann

Complex Numbers. The Foundations of Analysis in the Complex Plane / E. Peschl ; A. Schulte

Functions of a Complex Variable / H. Tietz ; K. Wigand

Points at Infinity / H. Behnke ; H. Grauert

Ordinary Differential Equations

Partial Differential Equations / G. Hellwig ; H. Liermann

Difference Equations and Definite Integrals / H. Meschkowski ; K. Reinhard

Functional Analysis / W. Schmeidler ; W. Dreetz

Real Functions / D. Kurepa ; B. Schon

Analysis and Theory of Numbers

The Changing Structure of Modern Mathematics / G. Kothe ; F. Ballier

Translator's Foreword

Preface

Foundations of Geometry / Part A：

Geometry--A Phenomenological Discussion / H. Freudenthal ; A. Bauer1：

Points, Vectors, and Reflections / F. Bachmann ; J. Boczeck2：

Affine and Projective Planes / R. Lingenberg3：

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