Foundation Mathematics

Author : Anthony Croft
Publisher : Pearson Higher Ed
ISBN 13 : 0273729489
Total Pages : 585 pages
Book Rating : 4.88/5 ( download)

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Download or read book Foundation Maths written by Anthony Croft and published by Pearson Higher Ed. This book was released on 2011-09-21 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy Foundation Maths with MyMathLab access card 5e (ISBN 9780273730767) if you need access to the MyLab as well, and save money on this brilliant resource. Foundation Maths has been written for students taking higher and further education courses who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses. It is ideally suited to those studying marketing, business studies, management, science, engineering, social science, geography, combined studies and design. It will be useful for those who lack confidence and who need careful, steady guidance in mathematical methods. For those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study and distance learning. Need extra support? This product is the book alone, and does NOT come with access to MyMathLab. This title can be supported by MyMathLab, an online homework and tutorial system which can be fully integrated into an instructor's course. You can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access card for MyMathLab: Foundation Maths with MyMathLab access card 5e (ISBN 9780273730767). Alternatively, buy access to MyMathLab and the eText – an online version of the book - online at www.mymathlab.com. For educator access, contact your Pearson Account Manager. To find out who your Account Manager is, visit www.pearsoned.co.uk/replocator

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.81/5 ( download)

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Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Author : Raymond L. Wilder
Publisher : Courier Corporation
ISBN 13 : 0486276201
Total Pages : 352 pages
Book Rating : 4.05/5 ( download)

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Download or read book Introduction to the Foundations of Mathematics written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-09-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

Author : M.J. Beeson
Publisher : Springer Science & Business Media
ISBN 13 : 3642689523
Total Pages : 484 pages
Book Rating : 4.29/5 ( download)

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Download or read book Foundations of Constructive Mathematics written by M.J. Beeson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.

Author : Kenneth Kunen
Publisher :
ISBN 13 : 9781904987147
Total Pages : 251 pages
Book Rating : 4.41/5 ( download)

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Download or read book The Foundations of Mathematics written by Kenneth Kunen and published by . This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.

Author : Shott, Milo
Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335092128
Total Pages : 242 pages
Book Rating : 4.23/5 ( download)

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Download or read book Foundation Mathematics For Non-Mathematicians written by Shott, Milo and published by McGraw-Hill Education (UK). This book was released on 1990-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for students who either never obtained any formal qualifications in mathematics, or whose knowledge became rusty through prolonged lack of use. It explains mathematical concepts and topics which are prerequisites for a student embarking on any science or other numerically based course in further and higher education. The text contains many worked examples, illustrations and exercises with solutions to reinforce understanding of the material. The emphasis is on a user-friendly approach and simplicity of style - which makes the book easy to study on its own, without any editorial help.

Author : Anthony Croft
Publisher : Addison-Wesley Longman
ISBN 13 : 9780582231856
Total Pages : 319 pages
Book Rating : 4.5X/5 ( download)

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Download or read book Foundation Maths written by Anthony Croft and published by Addison-Wesley Longman. This book was released on 1994-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The Essential Maths for Students' series provides the fundamental mathematical and statistical techniques required by students entering Higher Education in a wide range of courses.

Author : Matthias Baaz
Publisher : Cambridge University Press
ISBN 13 : 1139498436
Total Pages : 541 pages
Book Rating : 4.32/5 ( download)

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Download or read book Kurt Gödel and the Foundations of Mathematics written by Matthias Baaz and published by Cambridge University Press. This book was released on 2011-06-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

Author : L. R. Mustoe
Publisher :
ISBN 13 :
Total Pages : 678 pages
Book Rating : 4.49/5 ( download)

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Download or read book Foundation Mathematics written by L. R. Mustoe and published by . This book was released on 1998-06-11 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is finding ever wider areas of application as we seek to understand more about the way in which the natural world and the man-made environment operate and interact. In addition to the traditional use of mathematical models as design tools and for the prediction of the behaviour of many phenomena, mathematics is increasingly being used to model situations in many other disciplines including finance, management, politics and geography. Foundation Mathematics begins with a concise summary of arithmetic, basic algebra and a discussion of quadratics and cubics, strongly emphasising geometric ideas. Then follow the principles of Euclidean and Cartesian geometry and the concept of proof. Next are trigonometry, further algebra, functions and their inverses. Finally, the concepts of differential and integral calculus are introduced. Each chapter starts with a list of learning objectives and ends with a summary of key points and results. A generous supply of worked examples incorporating motivating applications is designed to build knowledge and skill. The exercises provided range in difficulty to aid consolidation and facilitate revision. Answers to the exercises, some including helpful hints, are placed at the end of each chapter. Foundation Mathematics together with its sequel Mathematics in Engineering and Science take the reader forward, in both content and style, from a level close to UK GCSE mathematics and its international equivalents to first year university-level mathematics. The concise and focused approach will help the student build the necessary confidence to tackle the more advanced ideas of the authors related book Mathematics in Engineering and Science (Wiley, 1998). This no-nonsense textbook will enable students to gain a basic grounding in the foundations of mathematics and will enable them to approach further study with confidence.

Author : Deviderjit Singh Sivia
Publisher : OUP Oxford
ISBN 13 : 9780198504283
Total Pages : 98 pages
Book Rating : 4.84/5 ( download)

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Download or read book Foundations of Science Mathematics written by Deviderjit Singh Sivia and published by OUP Oxford. This book was released on 1999-06-24 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.