5 Mathematics e-Books

? A Dictionary of Mathematics
? Energy Markets and Responsive Grids Modeling, Control, and Optimization
? Progress in Industrial Mathematics at ECMI 2016 (Mathematics in Industry)
? Amazing and Aesthetic Aspects of Analysis (Undergraduate Texts in Mathematics)
? Set Theory and the Continuum Problem

?A Dictionary of Mathematics

English | 1984 | ISBN: 0063182920 | 240 Pages | PDF | 17.3 MB

This dictionary gives a useful account of basic concepts in mathematics (such as number, sum and point); provides brief explanation of standard topics likely to appear in syllabuses (Taylor series, uniform convergence) and is also an informative reference to concepts or ideas likely to be met by students in general reading even if unlikely to be in the required textbooks (Tucker circle, Godell number, verging methods).
Prepared in consultation with a panel of advisers and readers (including students) whose experience between them covered the range of use, it gives definitions of about 2,500 terms with about 500 diag

?Energy Markets and Responsive Grids Modeling, Control, and Optimization

?Progress in Industrial Mathematics at ECMI 2016 (Mathematics in Industry)

English | 30 Apr. 2018 | ISBN: 3319630814 | 804 Pages | PDF/EPUB | 29.79 MB

This book addresses mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Using the classification system defined in the EU Framework Programme for Research and Innovation H2020, several of the topics covered belong to the challenge climate action, environment, resource efficiency and raw materials; and some to health, demographic change and wellbeing; while others belong to Europe in a changing world - inclusive, innovative and reflective societies. The 19th European Conference on Mathematics for Industry, ECMI2016, was held in Santiago de Compostela, Spain in June 2016. The proceedings of this conference include the plenary lectures, ECMI awards and special lectures, mini-symposia (including the description of each mini-symposium) and contributed talks. The ECMI conferences are organized by the European Consortium for Mathematics in Industry with the aim of promoting interaction between academy and industry, leading to innovation in both fields and providing unique opportunities to discuss the latest ideas, problems and methodologies, and contributing to the advancement of science and technology. They also encourage industrial sectors to propose challenging problems where mathematicians can provide insights and fresh perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.

?Amazing and Aesthetic Aspects of Analysis (Undergraduate Texts in Mathematics)

English | 14 July 2017 | ISBN: 1493967932 | 722 Pages | PDF | 10.38 MB

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ?---N and ?---?— definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulae for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

?Set Theory and the Continuum Problem

English | 1996 | ISBN: 0198523955 | 304 Pages | PDF | 14.9 MB

Set Theory and the Continuum Problem is a novel introduction to set theory, including axiomatic development, consistency, and independence results. It is self-contained and covers all the set theory that a mathematician should know. Part I introduces set theory, including basic axioms, development of the natural number system, Zorn's Lemma and other maximal principles. Part II proves the consistency of the continuum hypothesis and the axiom of choice, with material on collapsing mappings, model-theoretic results, and constructible sets. Part III presents a version of Cohen's proofs of the independence of the continuum hypothesis and the axiom of choice. It also presents, for the first time in a textbook, the double induction and superinduction principles, and Cowen's theorem. The book will interest students and researchers in logic and set theory.