A Primer Of Infinitesimal Analysis

Author: John L. Bell
Publisher: Cambridge University Press
ISBN: 0521887186
Size: 21.37 MB
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A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

A Primer Of Infinitesimal Analysis

Author: John Lane Bell
Publisher: Cambridge University Press
ISBN: 9780521624015
Size: 25.47 MB
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This is the first elementary book to employ the concept of infinitesimals.

Models For Smooth Infinitesimal Analysis

Author: Ieke Moerdijk
Publisher: Springer Science & Business Media
ISBN: 147574143X
Size: 72.98 MB
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The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.

The Calculus Primer

Author: William L. Schaaf
Publisher: Courier Corporation
ISBN: 0486172643
Size: 70.49 MB
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Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.

Toposes And Local Set Theories

Author: John L. Bell
Publisher: Courier Corporation
ISBN: 0486462862
Size: 42.91 MB
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This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topics include local set theories, fundamental properties of toposes, sheaves, local-valued sets, and natural and real numbers in local set theories. 1988 edition.

Introduction To Chemical Engineering Analysis Using Mathematica

Author: Henry C. Foley
Publisher: Elsevier
ISBN: 0080534953
Size: 21.91 MB
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This book provides an introduction to chemical engineering analysis- which reviews the processes and designs used to manufacture, use, and dispose of chemical products-and to Mathematica, one of the most powerful mathematical software tools available for symbolic, numerical, and graphical computing. Analysis and computation are explained simultaneously. The book covers the core concepts of chemical engineering, ranging from the conservation of mass to chemical kinetics. At the same time the text shows how to use the latest version of Mathematica, from the basics of writing a few lines of code through developing entire analysis programs.

Varieties Of Logic

Author: Stewart Shapiro
Publisher: Oxford University Press, USA
ISBN: 0199696527
Size: 80.51 MB
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Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. Stewart Shapiro explores various such views. He argues that the question of meaning shift is itself context-sensitive and interest-relative.

Cryptography A Primer

Author: Alan G. Konheim
Publisher: John Wiley & Sons Inc
ISBN:
Size: 42.91 MB
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Foundations of cryptography. Secrety systems. Monalphabetic sasubstitution. Polyalphabetic systems. Rotor systems. Block ciphers and the data encryption standard. Key management. Public key systems. Digital signatures and authentications. File security. References. Appendixes: Probability theory. The variance ...