Combinatorial Geometry in the Plane

Author: Hugo Hadwiger,Hans Debrunner,Victor Klee

Publisher: Courier Corporation

ISBN: 0486789969

Category: Mathematics

Page: 128

View: 7163

Advanced undergraduate-level text discusses theorems on topics restricted to the plane, such as convexity, coverings, and graphs. Two-part treatment begins with specific topics followed by an extensive selection of short proofs. 1964 edition.
Posted in Mathematics

A Combinatorial Introduction to Topology

Author: Michael Henle

Publisher: Courier Corporation

ISBN: 9780486679662

Category: Mathematics

Page: 310

View: 4730

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Posted in Mathematics

Combinatorial Optimization

Algorithms and Complexity

Author: Christos H. Papadimitriou,Kenneth Steiglitz

Publisher: Courier Corporation

ISBN: 0486320138

Category: Mathematics

Page: 528

View: 8433

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.
Posted in Mathematics

Challenging Mathematical Problems with Elementary Solutions

Author: A. M. Yaglom,I. M. Yaglom

Publisher: Courier Corporation

ISBN: 0486318575

Category: Mathematics

Page: 239

View: 929

Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions.
Posted in Mathematics

CRC Concise Encyclopedia of Mathematics, Second Edition

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN: 1420035223

Category: Mathematics

Page: 3252

View: 9086

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.
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The Enjoyment of Mathematics

Selections from Mathematics for the Amateur

Author: Hans Rademacher,Otto Toeplitz

Publisher: Courier Corporation

ISBN: 9780486262420

Category: Mathematics

Page: 205

View: 5340

Requiring only a basic background in plane geometry and elementary algebra, this classic poses 28 problems that introduce the fundamental ideas that make mathematics truly exciting. "Excellent . . . a thoroughly enjoyable sampler of fascinating mathematical problems and their solutions"—Science Magazine.
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Geometry and Symmetry

Author: Paul B. Yale

Publisher: Courier Corporation

ISBN: 0486169324

Category: Mathematics

Page: 288

View: 5276

DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div
Posted in Mathematics

Invitation to Combinatorial Topology

Author: Maurice Fréchet,Ky Fan

Publisher: Courier Corporation

ISBN: 0486147886

Category: Mathematics

Page: 136

View: 6350

Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.
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Problems in Applied Mathematics

Author: Murray S. Klamkin

Publisher: SIAM

ISBN: 0898712599

Category: Mathematics

Page: 588

View: 9038

A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.
Posted in Mathematics

Geometry from Euclid to Knots

Author: Saul Stahl

Publisher: Courier Corporation

ISBN: 0486134989

Category: Mathematics

Page: 480

View: 5672

This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.
Posted in Mathematics

Fibonacci and Lucas Numbers, and the Golden Section

Theory and Applications

Author: Steven Vajda

Publisher: Courier Corporation

ISBN: 0486462765

Category: Mathematics

Page: 189

View: 9096

This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.
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Combinatorial Topology

Author: Pavel S. Aleksandrov

Publisher: Courier Corporation

ISBN: 9780486401799

Category: Mathematics

Page: 148

View: 4973

Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.
Posted in Mathematics

Learning Directory

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Teaching

Page: N.A

View: 6330

Posted in Teaching

Formal Knot Theory

Author: Louis H. Kauffman

Publisher: Courier Corporation

ISBN: 048645052X

Category: Mathematics

Page: 254

View: 6105

This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author, Louis H. Kauffman, is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. Kauffman draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. Featured topics include state, trails, and the clock theorem; state polynomials and the duality conjecture; knots and links; axiomatic link calculations; spanning surfaces; the genus of alternative links; and ribbon knots and the Arf invariant. Key concepts are related in easy-to-remember terms, and numerous helpful diagrams appear throughout the text. The author has provided a new supplement, entitled "Remarks on Formal Knot Theory," as well as his article, "New Invariants in the Theory of Knots," first published in The American Mathematical Monthly, March 1988.
Posted in Mathematics

Das BUCH der Beweise

Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662577674

Category: Mathematics

Page: 360

View: 8042

Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln. Aus den Rezensionen: “... es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. [...] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern vorführt, was Mathematiker meinen, wenn sie über Schönheit sprechen.” Aus der Laudatio für den “Steele Prize for Mathematical Exposition” 2018 "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002
Posted in Mathematics

A Survey of Finite Mathematics

Author: Marvin Marcus

Publisher: Courier Corporation

ISBN: 9780486675534

Category: Mathematics

Page: 486

View: 6009

Outstanding undergraduate text, suitable for non-mathematics majors, introduces fundamentals of linear algebra and theory of convex sets. Includes 150 worked examples and over 1,200 exercises. Answers to selected exercises. Bibliography. 1969 edition.
Posted in Mathematics

Sequences, Combinations, Limits

Author: S. I. Gelfand

Publisher: Courier Corporation

ISBN: 9780486425665

Category: Mathematics

Page: 142

View: 857

Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular attention. 1969 edition.
Posted in Mathematics