Algebra for Papers 2 and 3 Year 6


Author: Collins KS2

Publisher: Collins

ISBN: 9780008259532


Page: 32

View: 6394

Help your pupils smash this year's SATs Prepare pupils for the KS2 mathematical reasoning paper with this easy-to-manage test practice book. Pupils can focus on the areas of the test they find tricky or need extra practice in. The SATs-style questions help improve test performance. * Improve test performance using short tests with self-assessment and answers * Keep pupils focussed on each paper they will sit * Provide support in the areas pupils need most * Help identify gaps in understanding and track progress Also available in this series: Y6 Number and Place Value Y6 Calculations Y6 Fractions, Decimals and Percentages Y6 Ratio and Proportion

Papers in Algebra, Analysis and Statistics


Author: Australian Mathematical Society. Summer Research Institute,Rudolf Lidl (ed)

Publisher: American Mathematical Soc.

ISBN: 0821850091

Category: Mathematics

Page: 400

View: 4343

Selected Papers and Other Writings


Author: Irving Kaplansky

Publisher: Springer Science & Business Media

ISBN: 9780387944067

Category: Mathematics

Page: 257

View: 2785

It is not often that one gets to write a preface to a collection of one's own papers. The most urgent task is to thank the people who made this book possible. That means first of all Hy Bass who, on behalf of Springer-Verlag, approached me about the idea. The late Walter Kaufmann-Biihler was very encouraging; Paulo Ribenboim helped in an important way; and Ina Lindemann saw the project through with tact and skill that I deeply appreciate. My wishes have been indulged in two ways. First, I was allowed to follow up each selected paper with an afterthought. Back in my student days I became aware of the Gesammelte Mathematische Werke of Dedekind, edited by Fricke, Noether, and Ore. I was impressed by the editors' notes that followed most of the papers and found them very usefuL A more direct model was furnished by the collected papers of Lars Ahlfors, in which the author himself supplied afterthoughts for each paper or group of papers. These were tough acts to follow, but I hope that some readers will find at least some of my afterthoughts interesting. Second, I was permitted to add eight previously unpublished items. My model here, to a certain extent, was the charming little book, A Mathematician's Miscel lany by J. E. Littlewood. In picking these eight I had quite a selection to make -from fourteen loose-leaf notebooks of such writings. Here again I hope that at least some will be found to be of interest.

Selected Papers on Algebra and Topology by Garrett Birkhoff


Author: J.S. Oliveira,G.-C. Rota

Publisher: Springer Science & Business Media

ISBN: 9780817631147

Category: Science

Page: 610

View: 5208

The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.

General Topology and Its Relations to Modern Analysis and Algebra 2

Proceedings of the Second Prague Topological Symposium, 1966


Author: Z. Frolík,M. Katětov,V. Pták

Publisher: Academic Press

ISBN: 1483223531

Category: Mathematics

Page: 366

View: 2887

General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.

Basic Algebra

Groups, Rings and Fields


Author: P.M. Cohn

Publisher: Springer Science & Business Media

ISBN: 0857294288

Category: Mathematics

Page: 465

View: 7057

This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.



Author: University of Aberdeen

Publisher: N.A



Page: N.A

View: 8983

Cambridge 3 Unit Mathematics Year 11 Enhanced Version


Author: William Pender,David Saddler,Julia Shea,Derek Ward

Publisher: Cambridge University Press

ISBN: 110763332X

Category: Juvenile Nonfiction

Page: 432

View: 4015

Features: • The current and new versions will have the same pagination. • A large number of fully worked examples demonstrate mathematical processes and encourage independent learning. Exercises are carefully graded to suit the range of students undertaking each mathematics course • Online self-marking objective response quizzes provide further opportunities to practice the multiple choice style questions included in HSC Maths exams. 2 Unit / 3 Unit Mathematics: • Foundation questions consolidate fluency and understanding, development questions encourage students to apply their understanding to a particular context. • Extension or Challenge questions inspire further thought and development for advanced students. • The wealth of questions in these three categories enables teachers to make a selection to be attempted by students of differing abilities and provides students with opportunities to practice questions of the standard they will encounter in their HSC exams.

Algebra 2


Author: Ron Larson

Publisher: D C Heath & Company

ISBN: 9780669267518

Category: Algebra

Page: 932

View: 6026

Algebraic Complexity Theory


Author: Peter Bürgisser,Michael Clausen,Amin Shokrollahi

Publisher: Springer Science & Business Media

ISBN: 9783540605829

Category: Mathematics

Page: 618

View: 1125

The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.