Elements

Elements
Author: Theodore Gray
Publisher: Black Dog & Leventhal
Total Pages: 1629
Release: 2012-04-03
Genre: Science
ISBN: 1603764054

With more than 1 million copies sold worldwide, The Elements is the most entertaining, comprehensive, and visually arresting book on all 118 elements in the periodic table. Includes a poster of Theodore Gray's iconic photographic periodic table of the elements! Based on seven years of research and photography by Theodore Gray and Nick Mann, The Elements presents the most complete and visually arresting representation available to the naked eye of every atom in the universe. Organized sequentially by atomic number, every element is represented by a big beautiful photograph that most closely represents it in its purest form. Several additional photographs show each element in slightly altered forms or as used in various practical ways. Also included are fascinating stories of the elements, as well as data on the properties of each, including atomic number, atomic symbol, atomic weight, density, atomic radius, as well as scales for electron filling order, state of matter, and an atomic emission spectrum. This of solid science and stunning artistic photographs is the perfect gift book for every sentient creature in the universe.

Bridge to Abstract Mathematics

Bridge to Abstract Mathematics
Author: Ralph W. Oberste-Vorth
Publisher: American Mathematical Soc.
Total Pages: 253
Release: 2012-12-31
Genre: Education
ISBN: 1614446067

A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.

Algebra: Chapter 0

Algebra: Chapter 0
Author: Paolo Aluffi
Publisher: American Mathematical Soc.
Total Pages: 713
Release: 2021-11-09
Genre: Education
ISBN: 147046571X

Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

MetaNet

MetaNet
Author: Miriam R.L. Petruck
Publisher: John Benjamins Publishing Company
Total Pages: 206
Release: 2018-09-06
Genre: Language Arts & Disciplines
ISBN: 9027263418

The papers in this collection document the work of the first research project on metaphor that incorporates the findings of Frame Semantics, Conceptual Metaphor Theory, and Construction Grammar with Corpus Linguistics techniques for the analysis of linguistic expressions of metaphor in very large natural language corpora. Under severe constraints, the MetaNet project, based at the International Computer Science Institute designed and populated a sophisticated and accessible repository of conceptual metaphors, developed a formalization for Conceptual Metaphor Theory, and created tools and techniques for the automatic identification and analysis of the linguistic expression of metaphor. For those interested in metaphor, be that from a linguistic, literary, poetic, cognitive, or computational perspective, this book is a must-read. Originally published in Constructions and Frames 8:2 (2016).

Reading, Writing, and Proving

Reading, Writing, and Proving
Author: Ulrich Daepp
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2003-08-07
Genre: Mathematics
ISBN: 0387008349

This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

Numerical Methods of Statistics

Numerical Methods of Statistics
Author: John F. Monahan
Publisher: Cambridge University Press
Total Pages: 465
Release: 2011-04-18
Genre: Computers
ISBN: 1139498002

This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.

Homology

Homology
Author: Saunders MacLane
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642620299

In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL LING. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL ElLENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. Both REINHOLD BAER and JOSEF SCHMID read and commented on my entire manuscript; their advice has led to many improvements. ANDERS KOCK and JACQUES RIGUET have read the entire galley proof and caught many slips and obscurities. Among the others whose sug gestions have served me well, I note FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED RICH KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a number of my current students at the University of Chicago - not to m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My wife, DOROTHY, has cheerfully typed more versions of more chapters than she would like to count. Messrs.

Early American Cinema in Transition

Early American Cinema in Transition
Author: Charlie Keil
Publisher: University of Wisconsin Pres
Total Pages: 321
Release: 2001-12-10
Genre: Performing Arts
ISBN: 0299173631

The period 1907–1913 marks a crucial transitional moment in American cinema. As moving picture shows changed from mere novelty to an increasingly popular entertainment, fledgling studios responded with longer running times and more complex storytelling. A growing trade press and changing production procedures also influenced filmmaking. In Early American Cinema in Transition, Charlie Keil looks at a broad cross-section of fiction films to examine the formal changes in cinema of this period and the ways that filmmakers developed narrative techniques to suit the fifteen-minute, one-reel format. Keil outlines the kinds of narratives that proved most suitable for a single reel’s duration, the particular demands that time and space exerted on this early form of film narration, and the ways filmmakers employed the unique features of a primarily visual medium to craft stories that would appeal to an audience numbering in the millions. He underscores his analysis with a detailed look at six films: The Boy Detective; The Forgotten Watch; Rose O’Salem-Town; Cupid’s Monkey Wrench; Belle Boyd, A Confederate Spy; and Suspense.