Handbook and Atlas of Curves

Handbook and Atlas of Curves
Author: Eugene V. Shikin
Publisher: CRC Press
Total Pages: 560
Release: 2014-07-22
Genre: Mathematics
ISBN: 1498710670

The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.

Atlas of Stress-strain Curves

Atlas of Stress-strain Curves
Author: ASM International
Publisher: ASM International
Total Pages: 821
Release: 2002-01-01
Genre: Technology & Engineering
ISBN: 087170739X

Contains more than 1400 curves, almost three times as many as in the 1987 edition. The curves are normalized in appearance to aid making comparisons among materials. All diagrams include metric units, and many also include U.S. customary units

Atlas of Fatigue Curves

Atlas of Fatigue Curves
Author: Howard E. Boyer
Publisher: ASM International
Total Pages: 544
Release: 1985-12-31
Genre: Technology & Engineering
ISBN: 9780871702142

Contains more than 500 fatigue curves for industrial ferrous and nonferrous alloys. Also includes an explanation of fatigue testing and interpretation of test results. Each curve is presented independently and includes an explanation of its particular importance.

A Book of Curves

A Book of Curves
Author: Edward Harrington Lockwood
Publisher: Cambridge University Press
Total Pages: 290
Release: 1967
Genre: Curves
ISBN: 9781001224114

Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.

The Knot Book

The Knot Book
Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
Total Pages: 330
Release: 2004
Genre: Mathematics
ISBN: 0821836781

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

Atlas of Time-temperature Diagrams for Irons and Steels

Atlas of Time-temperature Diagrams for Irons and Steels
Author: George F. Vander Voort
Publisher: ASM International
Total Pages: 824
Release: 1991-01-01
Genre: Technology & Engineering
ISBN: 9780871704153

The most comprehensive collection of time-temperature diagrams for irons and steels ever collected. Between this volume and its companion, Atlas of Time Temperature Diagrams for Nonferrous Alloys, you'll find the most comprehensive collection of time-temperature diagrams ever collected. Containing both commonly used curves and out-of-print and difficult-to-find data, these Atlases represent an outstanding worldwide effort, with contributions from experts in 14 countries. Time-temperature diagrams show how metals respond to heating and cooling, allowing you to predict the behavior and know beforehand the sequence of heating and cooling steps to develop the desired properties. These collections are a valuable resource for any materials engineer Both Collections Include: Easy-to-Read Diagrams Isothermal transformation Continuous cooling transformation Time-temperature precipitation Time-temperature embrittlement Time-temperature ordering Materials Included in the Irons and Steels Volume: Low-carbon High Strength Low Alloy Stainless (Maraging, austenitic, ferritic, duplex) Chromium, molybdenum, vanadium, silicon Structural Quenched and tempered Spring and Rail High-temperature creep-resistant Tool and die Eutectoid, hypereutectoid carbon Deep hardening Titanium bearing Irons: Gray cast, malleable, white, white cast, ductile.

Guide to Information Sources in Mathematics and Statistics

Guide to Information Sources in Mathematics and Statistics
Author: Martha A. Tucker
Publisher: Bloomsbury Publishing USA
Total Pages: 362
Release: 2004-09-30
Genre: Language Arts & Disciplines
ISBN: 0313053375

This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

Practical Handbook of Curve Fitting

Practical Handbook of Curve Fitting
Author: Sandra Arlinghaus
Publisher: CRC Press
Total Pages: 261
Release: 2023-06-14
Genre: Mathematics
ISBN: 1000943283

Practical Handbook of Curve Fitting is a reference work assembled by Arlinghaus and a set of editors with well over a century of combined experience in various disciplines and activities related to curve fitting. The book demonstrates how to analyze World data bases and graph and map the results. Default settings in software packages can produce attractive graphs of data imported into the software. Often, however, the default graph has no equation associated with it and cannot therefore be used as a tool for further analysis or projection of the data. The same software can often be used to generate curves from equations. The reader is shown directly, and in a series of steps, how to fit curves to data using Lotus 1-2-3. There are traditional unbounded curve fitting techniques-lines of least squares, exponentials, logistic curves, and Gompertz curves. There is the bounded curve fitting technique of cubic spline interpolation. Beyond these, there is a detailed application of Feigenbaum's graphical analysis from chaos theory, and there is a hint as to how fractal geometry might come into play. Curve fitting algorithms take on new life when they are actually used on real-world data. They are used in numerous worked examples drawn from electronic data bases of public domain information from the Stars data base of The World Bank and from the WRD data base of the World Resources Institute. The applications are current and reflect a state-of-the-art interest in the human dimensions of global change.

The Convenient Setting of Global Analysis

The Convenient Setting of Global Analysis
Author: Andreas Kriegl
Publisher: American Mathematical Society
Total Pages: 631
Release: 2024-08-15
Genre: Mathematics
ISBN: 1470478935

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fr‚chet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.