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Computability
Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, Computability: A Mathematical Sketchbook provides a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. It develops major themes in computability theory, such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory as well as an introduction to the theory of computable real numbers and functions. The book is intended as a university text, but it may also be used for self-study; appropriate exercises and solutions are included.
Techniques of Constructive Analysis
This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.
Constructive Analysis
This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, ...
Varieties of Constructive Mathematics
A survey of constructive approaches to pure mathematics emphasizing the viewpoint of Errett Bishop's school. Considers intuitionism, Russian constructivism, and recursive analysis, with comparisons among the various approaches included where appropriate.
How Learning Works
Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I hav...
Mrs. Bridge
In Mrs. Bridge, Evan S. Connell, a consummate storyteller, artfully crafts a portrait using the finest of details in everyday events and confrontations. With a surgeon's skill, Connell cuts away the middle-class security blanket of uniformity to expose the arrested development underneath-the entropy of time and relationships lead Mrs. Bridge's three children and husband to recede into a remote silence, and she herself drifts further into doubt and confusion. The raised evening newspaper becomes almost a fire screen to deflect any possible spark of conversation. The novel is compris.
Real Analysis with Economic Applications
There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calc...
Oration by Frederick Douglass. Delivered on the Occasion of the Unveiling of the Freedmen's Monument in Memory of Abraham Lincoln, in Lincoln Park, Washington, D.C., April 14th, 1876, with an Appendix
Reprint of the original, first published in 1876.
Bridges: Ministering to Those Who Question
Second Edition, with a new chapter on ministering to and within mixed-faith marriages and families. With the advancement of the internet, changing worldviews, and the rising generation of millennials, Latter-day Saints today face unique challenges to faith on an unprecedented scale. Unlike most books written to help those struggling with their testimonies, Bridges: Ministering to Those Who Question is geared at helping local leaders and family members better understand the sources of these challenges and how to minister to those affected by them. This ministering is done through building bridges of love, empathy, and trust regardless of whether or not someone retains their belief or continues to participate. Author David B. Ostler, a former mission president, utilizes surveys with local leaders and disaffected members, research from social science and religious studies, and teachings from Church leaders to show how Latter-day Saints can work to better support those who have questions and create church environments where all can feel welcome.
