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S. L. Huang's Null Set is the breakout sf thriller for fans of John Scalzi and Greg Rucka Math-genius mercenary Cas Russell has decided to Fight Crime(tm). After all, with her extraordinary mathematical ability, she can neuter bombs or out-shoot an army. And the recent outbreak of violence in the world’s cities is Cas’s fault—she’s the one who crushed the organization of telepaths keeping the world’s worst offenders under control. But Cas’s own power also has a history, one she can’t remember—or control. One that's creeping into her mind and fracturing her sanity...just when she’s gotten herself on the hit list of every crime lord on the West Coast. And her best, only, sociopathic friend. Cas won’t be able to save the world. She might not even be able to save herself. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
"Verónica Gerber writes with a luminous intimacy; her novel is clever, vibrant, moving, profoundly original. Reading it made me feel as if the world had been rebuilt." —Francisco Goldman "From the very beginning, Verónica Gerber set out to write a novel that would end up at a loss for words. She alone could achieve this feat: because she's a visual artist who takes everything she reads in as concentric circles threaded with color, and because she writes essays on painters who write across canvasses and writers who paint plots from the realities of life. . . . She alone could bring the necessary silence to a novel so perfect it ended up leaving me speechless as well." —Jorge F. Hernández How do you draw an affair? A family? Can a Venn diagram show the ways overlaps turn into absences, tree rings tell us what happens when mothers leave? Can we fall in love according to the hop skip of an acrostic? Empty Set is a novel of patterns, its young narrator's attempt at making sense of inevitable loss, tracing her way forward in loops, triangles, and broken lines. Verónica Gerber Bicecci is a visual artist who writes. In 2013 she was awarded the third Aura Estrada prize for literature. She is an editor with Tumbona Ediciones, a publishing cooperative with a catalogue that explores the intersections between literature and art.
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
SQL is full of difficulties and traps for the unwary. You can avoid them if you understand relational theory, but only if you know how to put the theory into practice. In this insightful book, author C.J. Date explains relational theory in depth, and demonstrates through numerous examples and exercises how you can apply it directly to your use of SQL. This second edition includes new material on recursive queries, “missing information” without nulls, new update operators, and topics such as aggregate operators, grouping and ungrouping, and view updating. If you have a modest-to-advanced background in SQL, you’ll learn how to deal with a host of common SQL dilemmas. Why is proper column naming so important? Nulls in your database are causing you to get wrong answers. Why? What can you do about it? Is it possible to write an SQL query to find employees who have never been in the same department for more than six months at a time? SQL supports “quantified comparisons,” but they’re better avoided. Why? How do you avoid them? Constraints are crucially important, but most SQL products don’t support them properly. What can you do to resolve this situation? Database theory and practice have evolved since the relational model was developed more than 40 years ago. SQL and Relational Theory draws on decades of research to present the most up-to-date treatment of SQL available. C.J. Date has a stature that is unique within the database industry. A prolific writer well known for the bestselling textbook An Introduction to Database Systems (Addison-Wesley), he has an exceptionally clear style when writing about complex principles and theory.
The text book 'Logic and Sets' designed as Skill Enhancement Course, has been written to include those chapters which are mentioned in the mathematics syllabus (CBCS) of all universities in India and Autonomous colleges. This book consists of three chapters that are; first chapter deals with mathematical logic and propositional logic or calculus, second chapter deals with sets and subsets, whereas the third chapter deals with relations and n-array relations. Basic ideas have been explained through some examples. It is hoped that the book will be found really useful to the students and teachers.
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach. The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics.
This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and wavelet theory.
A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.