Mathematical Foundations


"Handbook of Categorical Algebra Sheaf Theory"

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"Encyclopedia of Mathematics and Its Applications" series; Rota, G.-C. (ed.) Third in a three part set, this volume introduces topos theory and the idea of sheaves. With 162 line figures 94 exercises. Hardback, 544 pages. Size: 234 x 156 mm. Weight: 929g.
Author:  Borceux, Francis
ISBN:  0521441803
Publisher:  Cambridge University Press
Date:  1994  (United Kingdom)
Readership:  Professional & Vocational Mathematical Foundations (V. 3)

"Approximation Theory"

From Taylor Polynomials to Wavelets

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"Applied and Numerical Harmonic Analysis" series; Gives an elementary introduction to approximation theory. This work demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. It is useful for students and instructors in pure and applied mathematics, mathematical physics, and engineering. With 40 illustrations. 6. Paperback, 187 pages. Size: 233 x 159 mm. Weight: 295g.
Author:  Christensen, Ole Christensen, Khadija
ISBN:  0817636005
Publisher:  Birkhauser Boston
Date:  2004  (Germany)
Readership:  Professional & Vocational Mathematical Foundations

"Modeling With Mathematics"

A Bridge to Algebra Ii

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Provides a course that aims to offer students a fresh perspective on mathematics. This book explores how mathematics can help solve problems real people encounter in their jobs and lives. It uses mathematical modeling and a data-driven approach to explore functions to help students deepen their mathematical skills and maturity. 2 rev ed. Hardback, 700 pages. Size: 290 x 220 mm. Weight: 788g.
Author:  Comap
ISBN:  0716707802
Publisher:  W.H.Freeman & Co Ltd
Date:  2006  (United States)
Readership:  Professional & Vocational Mathematical Foundations

"Computability"

An Introduction to Recursive Function Theory

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This title is an introduction to computability theory covering: non-computability and undecidability; the theory of recursive and recursively enumerable sets; Gildel's incompleteness theorem; degrees of unsolvability; the recursion theorems; and the theory of complexity of computation. With 24d.1tab.. Paperback, 264 pages. Size: 229 x 152 mm. Weight: 440g.
Author:  Cutland, N.J.
ISBN:  0521294657
Publisher:  Cambridge University Press
Date:  1980  (United Kingdom)
Readership:  Professional & Vocational Mathematical Foundations

"Sets, Functions, and Logic"

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"Chapman & Hall Mathematics" series; Written by one of the world's leading popularizers of mathematics, this book is suitable for undergraduate students of mathematics. It offers an introductory chapter on the nature of mathematics, a chapter on complex numbers, and a discussion of formal symbolic logic. It helps the students to transitioning from calculus to higher mathematics. With 11 black & white illustrations. Hardback, 160 pages. Size: 243 x 156 mm. Weight: 340g.
Author:  Devlin, Keith
ISBN:  1584884495
Publisher:  Taylor & Francis Ltd
Date:  2008  (United States)
Readership:  Undergraduate Mathematical Foundations

"An Introduction to Mathematical Reasoning"

Numbers, Sets and Functions

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The purpose of this book is to introduce the basic ideas of mathematical proof and reasoning to students starting university mathematics. With illustrations. Paperback, 362 pages. Size: 228 x 153 mm. Weight: 506g.
Author:  Eccles, Peter J.
ISBN:  0521597188
Publisher:  Cambridge University Press
Date:  1997  (United Kingdom)
Readership:  Tertiary Education (Us: College) Mathematical Foundations

"The Mathematics of Infinity"

A Guide to Great Ideas

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"Pure & Applied Mathematics: a Wiley-Interscience Series of Texts, Monographs and Tracts" series; The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. This work explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. It presents a balanced treatment of infinity in mathematics. With illustrations. Hardback, 304 pages. Size: 245 x 153 mm. Weight: 542g.
Author:  Faticoni, Theodore G.
ISBN:  0471794325
Publisher:  John Wiley and Sons Ltd
Date:  2006  (United States)
Readership:  Professional & Vocational Mathematical Foundations

"The Fundamental Theorem of Algebra"

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"Undergraduate Texts in Mathematics" series; The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This title contains a series of appendices that give six additional proofs including a version of Gauss' original first proof. It is intended for junior/senior level undergraduate mathematics students or first year graduate students. With 44 illus.. Hardback, 219 pages. Size: 230 x 162 mm. Weight: 476g.
Author:  Fine, Benjamin Rosenberger, Gerhard
ISBN:  0387946578
Publisher:  Springer-Verlag New York Inc.
Date:  1997  (United States)
Readership:  Undergraduate Mathematical Foundations

"Mathematical Puzzle Tales"

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"Spectrum" series; 36 of Martin Gardner's most cunning brainteasers, suitable for all mathematical problem solvers. With illustrations. Paperback, 160 pages. Size: 229 x 179 mm. Weight: 284g.
Author:  Gardner, Martin
ISBN:  088385533X
Publisher:  Mathematical Association of America
Date:  2001  (Usa)
Readership:  General Mathematical Foundations

"Measurement Uncertainties in Science and Technology"

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At the turn of the 19th century, Carl Friedrich Gauss founded error calculus by predicting the then unknown position of the minor planet Ceres. Ever since, error calculus has occupied a place at the heart of science. This book illustrates the breakdown of traditional error calculus in the face of measurement techniques. With 47 illus.. Hardback, 281 pages. Size: 234 x 156 mm. Weight: 516g.
Author:  Grabe, Michael
ISBN:  3540209441
Publisher:  Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Date:  2004  (Germany)
Readership:  Professional & Vocational Mathematical Foundations

"Introduction to Mathematical Systems Theory"

Linear Systems, Identification and Control

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Provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. This book focuses on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. Mixed Media Product, 173 pages. Size: 240 x 170 mm. Weight: 389g.
Author:  Heij, Christiaan Ran, Andre C.M. (Vrije Universiteit Amsterdam) Schagen, F. Van (Vrije Universiteit Amsterdam)
ISBN:  3764375485
Publisher:  Birkhauser Verlag Ag
Date:  2006  (Switzerland)
Readership:  Professional & Vocational Mathematical Foundations

"Mathematics for the Imagination"

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'Mathematics for the Imagination' provides an investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun title helps readers to understand the maths behind real-life questions and rediscover their arithmetical mind. With numerous line figures. Paperback, 238 pages. Size: 196 x 129 mm. Weight: 252g.
Author:  Higgins, Peter M.
ISBN:  0198604602
Publisher:  Oxford University Press
Date:  2002  (United Kingdom)
Readership:  General (Us: Trade) Mathematical Foundations

"Scaling Analysis in Modeling Transport and Reaction Processes"

A Systematic Approach to Model Building and the Art of Approximation

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Offers information on systematic scaling analysis in diverse disciplines. This title includes chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. Hardback, 530 pages. Size: 241 x 165 mm. Weight: 909g.
Author:  Krantz, William B.
ISBN:  0471772615
Publisher:  John Wiley and Sons Ltd
Date:  2007  (United States)
Readership:  Professional & Vocational Mathematical Foundations

"Categories for the Working Mathematician"

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"Graduate Texts in Mathematics" series; Describes the concepts of category, functor, natural transformation, and duality. This book focuses on adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. With 10 figures, bibliography. 2 rev ed. Hardback, 326 pages. Size: 234 x 156 mm. Weight: 648g.
Author:  Lane, Saunders Mac
ISBN:  0387984038
Publisher:  Springer-Verlag New York Inc.
Date:  1998  (United States)
Readership:  Postgraduate, Research & Scholarly Mathematical Foundations

"Cryptological Mathematics"

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"Classroom Resource Material" series; Watkins, William (ed.) Introduction to the mathematics of cryptology suitable for beginning undergraduates. With portraits. Paperback, 214 pages. Size: 255 x 178 mm. Weight: 375g.
Author:  Lewand, Robert
ISBN:  0883857197
Publisher:  Mathematical Association of America
Date:  2000  (Usa)
Readership:  Academic/Specialist Mathematical Foundations

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