Elementary Theory of Numbers

Author: William Judson LeVeque

Publisher: Courier Corporation

ISBN: 9780486663487

Category: Mathematics

Page: 132

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Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography.

An Introduction to Mathematical Taxonomy

Author: G. Dunn,B. S. Everitt

Publisher: Courier Corporation

ISBN: 0486151360

Category: Science

Page: 160

View: 2713

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For students of mathematical biology, an introduction to taxonomic characters, measurement of similarity, analysis of principal components, multidimensional scaling, cluster analysis, identification and assignment techniques, and the construction of evolutionary trees.

Mathematical Foundations of Statistical Mechanics

Author: Aleksandr I?Akovlevich Khinchin

Publisher: Courier Corporation

ISBN: 9780486601472

Category: Mathematics

Page: 179

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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

Mathematical Foundations for Design

Civil Engineering Systems

Author: Robert M. Stark,Robert L. Nicholls

Publisher: Courier Corporation

ISBN: 0486438988

Category: Mathematics

Page: 566

View: 9835

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Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.

Advanced Calculus of Several Variables

Author: Charles Henry Edwards

Publisher: Courier Corporation

ISBN: 9780486683362

Category: Mathematics

Page: 457

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Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

The Thirteen Books of the Elements

Author: Euclid

Publisher: N.A

ISBN: 9780486600888

Category: Mathematics

Page: 443

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Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

Theory of Linear Operators in Hilbert Space

Author: Naum Ilʹich Akhiezer,Izrailʹ Markovich Glazman

Publisher: Courier Corporation

ISBN: 9780486677484

Category: Mathematics

Page: 218

View: 3573

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This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. Invaluable for every mathematician and physicist. 1961, 1963 edition.

The Theory of Remainders

Author: Andrea Rothbart

Publisher: Courier Dover Publications

ISBN: N.A

Category: Mathematics

Page: 178

View: 2498

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An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam. Ant leads Gnam through a variety of theories, and together, they put the theories into action—applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and developing intriguing modifications to the rules of chess. Appropriate for anyone familiar with algebra at the high-school level, The Theory of Remainders offers a captivating introduction to both number theory and abstract algebra. Both elementary and challenging, it provides a view of mathematics as a conceptual net and illustrates the differences between conceptual and paraconceptual claims—an excellent start to expanding students' perspectives on mathematics. Exercises throughout the book form an integral part of the text, extending students' experience with the concepts under discussion and presenting opportunities to observe patterns. In addition to the exercises, a series of optional problems allows more advanced readers to further develop the concepts.

Integral Equations

Author: Benjamin Lawrence Moiseiwitsch

Publisher: Courier Corporation

ISBN: 9780486441627

Category: Mathematics

Page: 166

View: 9633

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Geared toward upper-level undergraduate students, this text begins with a straightforward account, accompanied by simple examples of a variety of integral equations and the methods of their solution. The treatment becomes gradually more abstract, with discussions of Hilbert space and linear operators, the resolvent, Fredholm theory, and more. 1977 edition.

SONAR Power

Author: Scott R. Garrigus

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 9877

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An Introduction to Lebesgue Integration and Fourier Series

Author: Howard J. Wilcox,David L. Myers

Publisher: Courier Corporation

ISBN: 9780486682938

Category: Mathematics

Page: 159

View: 4197

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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.


Cable Structures

Author: H. Max Irvine

Publisher: N.A

ISBN: N.A

Category: Technology & Engineering

Page: 259

View: 9170

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A reprint of the MIT Press edition of 1981, this is a graduate-level study for practicing engineers, researchers and teachers. Annotation copyrighted by Book News, Inc., Portland, OR

The Origin of Continents and Oceans

Author: Alfred Wegener

Publisher: Courier Corporation

ISBN: 9780486617084

Category: Science

Page: 246

View: 9561

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In 1915 Alfred Wegener's seminal work describing the continental drift was first published in German. Wegener explained various phenomena of historical geology, geomorphy, paleontology, paleoclimatology, and similar areas in terms of continental drift. This edition includes new data to support his theories, helping to refute the opponents of his controversial views. 64 illustrations.


Poincarés Vermutung

die Geschichte eines mathematischen Abenteuers

Author: Donal O'Shea

Publisher: N.A

ISBN: 9783596176632

Category:

Page: 376

View: 8115

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Professor Stewarts mathematische Schätze

Author: Ian Stewart

Publisher: Rowohlt Verlag GmbH

ISBN: 3644017115

Category: Mathematics

Page: 432

View: 3800

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Was war noch mal die Catalan’sche Vermutung? Und woher kommt eigentlich das Wurzelsymbol? Was hat die Zahl Pi mit dem Sternenhimmel zu tun? Wer erfand das Gleichheitszeichen? Der britische Matheguru Ian Stewart breitet in diesem Band Schätze aus, die er in Jahrzehnten gesammelt hat: über 180 interessante Matherätsel, Lösungen, Spiele, Tricks, Geschichten, Anekdoten und Logeleien. Zudem ist Stewarts Schatztruhe mit interessanten historischen Exkursen angereichert, zum Beispiel einer kurzen Einführung in das Rechnen der Maya und der alten Ägypter und auch in die Vergangenheit unseres eigenen Rechnens: Wer erfand das Gleichheitszeichen – und warum? Ein Buch zum Blättern und Stöbern, zum Spaßhaben und Dazulernen, für Laien und für Fortgeschrittene.

Anschauliche Geometrie

Author: David Hilbert,Stephan Cohn-Vossen

Publisher: Springer-Verlag

ISBN: 3642199488

Category: Mathematics

Page: 364

View: 3213

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1932 erstmals erschienen, hat der Klassiker der Geometrie bis heute nichts von seiner Frische und Kraft eingebüßt. Die weltbekannten Autoren stellen in dem Band zugrundeliegende Leitmotive und verblüffende Zusammenhänge in der Geometrie verständlich dar. David Hilbert, dessen Ziel es war, die Faszination der Geometrie zu vermitteln, schrieb im Vorwort: „Das Buch soll dazu dienen, die Freude an der Mathematik zu mehren, indem es dem Leser erleichtert, in das Wesen der Mathematik einzudringen, ohne sich einem beschwerlichen Studium zu unterziehen".