An Introduction to Mathematical Taxonomy

Author: G. Dunn,B. S. Everitt

Publisher: Courier Corporation

ISBN: 0486151360

Category: Science

Page: 160

View: 4570

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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.


Introduction to Mathematical Fluid Dynamics

Author: Richard E. Meyer

Publisher: Courier Corporation

ISBN: 9780486615547

Category: Science

Page: 185

View: 4371

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An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Mathematical Foundations of Statistical Mechanics

Author: Aleksandr I?Akovlevich Khinchin

Publisher: Courier Corporation

ISBN: 9780486601472

Category: Mathematics

Page: 179

View: 2565

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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: 729

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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.

Calculus

Problems and Solutions

Author: Abraham Ginzburg

Publisher: Courier Corporation

ISBN: 9780486432779

Category: Mathematics

Page: 455

View: 3355

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This text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, the differential, indefinite and definite integrals, more. 1963 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: 5106

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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 Geometry of Kerr Black Holes

Author: Barrett O'Neill

Publisher: Courier Corporation

ISBN: 0486783111

Category: Science

Page: 400

View: 820

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Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition.

The Theory of Remainders

Author: Andrea Rothbart

Publisher: Courier Dover Publications

ISBN: N.A

Category: Mathematics

Page: 178

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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: 9790

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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

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A Book of Abstract Algebra

Second Edition

Author: Charles C Pinter

Publisher: Courier Corporation

ISBN: 0486474178

Category: Mathematics

Page: 384

View: 9501

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Regular Algebra and Finite Machines

Author: John Horton Conway

Publisher: Courier Corporation

ISBN: 0486310582

Category: Mathematics

Page: 160

View: 1880

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A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.

Introduction to Topology

Second Edition

Author: Theodore W. Gamelin,Robert Everist Greene

Publisher: Courier Corporation

ISBN: 0486320189

Category: Mathematics

Page: 256

View: 2962

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This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.

Sets for Mathematics

Author: F. William Lawvere,Robert Rosebrugh

Publisher: Cambridge University Press

ISBN: 9780521010603

Category: Mathematics

Page: 261

View: 544

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In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.

Basic Noncommutative Geometry

Author: Masoud Khalkhali

Publisher: European Mathematical Society

ISBN: 9783037190616

Category: Mathematics

Page: 223

View: 815

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"Basic Noncommutative Geometry provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for self-study. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject. One feature of this book is the wealth of examples and exercises that help the reader to navigate through the subject. While background material is provided in the text and in several appendices, some familiarity with basic notions of functional analysis, algebraic topology, differential geometry and homological algebra at a first year graduate level is helpful. Developed by Alain Connes since the late 1970s, noncommutative geometry has found many applications to long-standing conjectures in topology and geometry and has recently made headways in theoretical physics and number theory. The book starts with a detailed description of some of the most pertinent algebra-geometry correspondences by casting geometric notions in algebraic terms, then proceeds in the second chapter to the idea of a noncommutative space and how it is constructed. The last two chapters deal with homological tools: cyclic cohomology and Connes-Chern characters in K-theory and K-homology, culminating in one commutative diagram expressing the equality of topological and analytic index in a noncommutative setting. Applications to integrality of noncommutative topological invariants are given as well."--Publisher's description.


Introduction to Vector and Tensor Analysis

Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 0486137112

Category: Mathematics

Page: 418

View: 7960

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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.