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The Historical Roots Of Elementary Mathematics

Author : Lucas Nicolaas Hendrik Bunt
ISBN : 0486255638
Genre : Mathematics
File Size : 25.63 MB
Format : PDF, ePub
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"Will delight a broad spectrum of readers." ? American Mathematical Monthly Do long division as the ancient Egyptians did! Solve quadratic equations like the Babylonians! Study geometry just as students did in Euclid's day! This unique text offers students of mathematics an exciting and enjoyable approach to geometry and number systems. Written in a fresh and thoroughly diverting style, the text ? while designed chiefly for classroom use ? will appeal to anyone curious about mathematical inscriptions on Egyptian papyri, Babylonian cuneiform tablets, and other ancient records. The authors have produced an illuminated volume that traces the history of mathematics ? beginning with the Egyptians and ending with abstract foundations laid at the end of the 19th century. By focusing on the actual operations and processes outlined in the text, students become involved in the same problems and situations that once confronted the ancient pioneers of mathematics. The text encourages readers to carry out fundamental algebraic and geometric operations used by the Egyptians and Babylonians, to examine the roots of Greek mathematics and philosophy, and to tackle still-famous problems such as squaring the circle and various trisectorizations. Unique in its detailed discussion of these topics, this book is sure to be welcomed by a broad range of interested readers. The subject matter is suitable for prospective elementary and secondary school teachers, as enrichment material for high school students, and for enlightening the general reader. No specialized or advanced background beyond high school mathematics is required.
Category: Mathematics

Journey Into Mathematics

Author : Joseph J. Rotman
ISBN : 9780486151687
Genre : Mathematics
File Size : 30.47 MB
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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
Category: Mathematics

An Introduction To Differential Equations And Their Applications

Author : Stanley J. Farlow
ISBN : 9780486135137
Genre : Mathematics
File Size : 56.31 MB
Format : PDF
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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
Category: Mathematics

Real Analysis

Author : John M. Howie
ISBN : 1852333146
Genre : Mathematics
File Size : 44.40 MB
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Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, the book covers all the key topics with fully worked examples and exercises with solutions. All the concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject. This book offers a fresh approach to a core subject and manages to provide a gentle and clear introduction without sacrificing rigour or accuracy.
Category: Mathematics

Variability In Human Performance

Author : Thomas J. Smith
ISBN : 9781466579729
Genre : Technology & Engineering
File Size : 85.96 MB
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Understanding the conditions under which variability in performance may arise, and the processes related to its emergence, gives us insight into the development of techniques for improving the quality of performance. Variability in Human Performance details the scientific and the practical implications of human performance variability by providing a broad perspective on how and why such variability occurs across a number of disciplinary domains. The text takes an approach that rests upon the idea of context, or design, specificity in performance, namely that variability in performance is closely referenced to design factors in the environment in which performance is occurring. An exploration of the link between variability and related processes, the book introduces a comprehensive framework for understanding human performance variability, presented in terms of how human control of behavior is closely tied to design factors in the performance environment. The authors introduce empirical evidence, as well as practical examples and application areas, in support of this framework. The book begins with coverage of neurobiological and biomechanical basis of movement variability, then examines rich and extensive empirical evidence available for context specificity in cognitive performance and learning, as a basis for cognitive performance variability. The book then reviews the evidence for context specificity in: Student learning Displaced feedback conditions Human error behavior Affective performance Social and team performance The authors also explore work performance as influenced by complex sociotechnical systems and as a basis for performance variability, applying control systems concepts to an interpretation of the nature and basis of performance variability in all of these domains. They conclude by taking an evolutionary perspective on the origins and behavioral significance of human performance variability. The book then provides strategies on how individuals, groups, and organizations can significantly reduce variability in human performance that often leads to systems failures.
Category: Technology & Engineering

Mathematics Today

Author :
ISBN : UOM:39015059069339
Genre : Mathematics
File Size : 22.4 MB
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Category: Mathematics

My Brain Is Open

Author : Bruce Schechter
ISBN : 9780684859804
Genre : Biography & Autobiography
File Size : 63.24 MB
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Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science.
Category: Biography & Autobiography