Abstract and Concrete Categories

The Joy of Cats

Author: Jiri Adamek,Jiří Adámek (ing.),Horst Herrlich,George E. Strecker

Publisher: N.A

ISBN: 9780486469348

Category: Mathematics

Page: 517

View: 4071

This up-to-date introductory treatment employs the language of category theory to explore the theory of structures. Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases. A systematic view of factorization structures, this volume contains seven chapters. The first five focus on basic theory, and the final two explore more recent research results in the realm of concrete categories, cartesian closed categories, and quasitopoi. Suitable for advanced undergraduate and graduate students, it requires an elementary knowledge of set theory and can be used as a reference as well as a text. Updated by the authors in 2004, it offers a unifying perspective on earlier work and summarizes recent developments.

The Red Book of Mathematical Problems

Author: Kenneth S. Williams,Kenneth Hardy

Publisher: Courier Corporation

ISBN: 0486151824

Category: Mathematics

Page: 192

View: 5268

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.

A Short Account of the History of Mathematics

Author: W. W. Rouse Ball

Publisher: Courier Corporation

ISBN: 0486157849

Category: Mathematics

Page: 560

View: 8128

This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

The Geometry of René Descartes

with a Facsimile of the First Edition

Author: René Descartes

Publisher: Courier Corporation

ISBN: 0486158179

Category: Mathematics

Page: 272

View: 1583

The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.

Elementary Induction on Abstract Structures

Author: Yiannis N. Moschovakis

Publisher: Courier Corporation

ISBN: 0486466787

Category: Mathematics

Page: 240

View: 7765

Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." — Bulletin of the American Mathematical Society. 1974 edition.

Selected Papers on Noise and Stochastic Processes

Author: Nelson Wax

Publisher: Courier Corporation

ISBN: 0486798267

Category: Technology & Engineering

Page: 352

View: 842

These six classic papers on stochastic process were selected to meet the needs of professionals and advanced undergraduates and graduate students in physics, applied mathematics, and engineering. Contents include: "Stochastic Problems in Physics and Astronomy" by S. Chandrasekhar from Reviews of Modern Physics, Vol. 15, No. 1 "On the Theory of Brownian Motion" by G. E. Uhlenbeck and L. S. Ornstein from Physical Review, Vol. 36, No. 3 "On the Theory of the Brownian Motion II" by Ming Chen Wang and G. E. Uhlenbeck from Reviews of Modern Physics, Vol. 17, Nos. 2 and 3 "Mathematical Analysis of Random Noise" by S. O. Rice from Bell System Technical Journal, Vols. 23 and 24 "Random Walk and the Theory of Brownian Motion" by Mark Kac from American Mathematical Monthly, Vol. 54, No. 7 "The Brownian Movement and Stochastic Equations" by J. L. Doob from Annals of Mathematics, Vol. 43, No. 2

Some Mathematical Methods of Physics

Author: Gerald Goertzel,Nunzio Tralli

Publisher: Courier Corporation

ISBN: 0486780635

Category: Science

Page: 320

View: 7595

Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.

A Book of Set Theory

Author: Charles C Pinter

Publisher: Courier Corporation

ISBN: 0486497089

Category: Mathematics

Page: 256

View: 6928

"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

An Introduction to the Theory of Elasticity

Author: R. J. Atkin,N. Fox

Publisher: Courier Corporation

ISBN: 0486150992

Category: Science

Page: 272

View: 8494

Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Galois Theory

Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures,

Author: Emil Artin

Publisher: Courier Corporation

ISBN: 048615825X

Category: Mathematics

Page: 86

View: 4547

Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.

Physics of Fully Ionized Gases

Second Revised Edition

Author: Lyman Spitzer

Publisher: Courier Corporation

ISBN: 0486151581

Category: Science

Page: 192

View: 8486

An introductory course in theoretical physics is the sole prerequisite for this general but simple introduction to the fields of plasma and fusion research. 1962 edition.

Differential Games

A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization

Author: Rufus Isaacs

Publisher: Courier Corporation

ISBN: 0486135985

Category: Mathematics

Page: 416

View: 2969

Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Optimal Control and Estimation

Author: Robert F. Stengel

Publisher: Courier Corporation

ISBN: 0486134814

Category: Mathematics

Page: 672

View: 7950

Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.

Introduction to Applied Numerical Analysis

Author: Richard W. Hamming

Publisher: Courier Corporation

ISBN: 0486485900

Category: Mathematics

Page: 331

View: 8743

"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition"--Provided by publisher.

Atomic Physics: 8th Edition

Author: Max Born

Publisher: Courier Corporation

ISBN: 0486318583

Category: Science

Page: 544

View: 1096

Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.

Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 5251

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Curvature in Mathematics and Physics

Author: Shlomo Sternberg

Publisher: Courier Corporation

ISBN: 0486292711

Category: Mathematics

Page: 416

View: 9552

Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

A Bridge to Advanced Mathematics

Author: Dennis Sentilles

Publisher: Courier Corporation

ISBN: 0486277585

Category: Mathematics

Page: 416

View: 2871

This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.

An Introduction to Differential Geometry

Author: T. J. Willmore

Publisher: Courier Corporation

ISBN: 0486282104

Category: Mathematics

Page: 336

View: 4524

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

Eine kurze Geschichte der Menschheit

Author: Yuval Noah Harari

Publisher: DVA

ISBN: 364110498X

Category: History

Page: 528

View: 6662

Krone der Schöpfung? Vor 100 000 Jahren war der Homo sapiens noch ein unbedeutendes Tier, das unauffällig in einem abgelegenen Winkel des afrikanischen Kontinents lebte. Unsere Vorfahren teilten sich den Planeten mit mindestens fünf weiteren menschlichen Spezies, und die Rolle, die sie im Ökosystem spielten, war nicht größer als die von Gorillas, Libellen oder Quallen. Vor 70 000 Jahren dann vollzog sich ein mysteriöser und rascher Wandel mit dem Homo sapiens, und es war vor allem die Beschaffenheit seines Gehirns, die ihn zum Herren des Planeten und zum Schrecken des Ökosystems werden ließ. Bis heute hat sich diese Vorherrschaft stetig zugespitzt: Der Mensch hat die Fähigkeit zu schöpferischem und zu zerstörerischem Handeln wie kein anderes Lebewesen. Anschaulich, unterhaltsam und stellenweise hochkomisch zeichnet Yuval Harari die Geschichte des Menschen nach und zeigt alle großen, aber auch alle ambivalenten Momente unserer Menschwerdung.