Pure Mathematics for CCEA AS Level PDF Download
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Author: Luke Robinson
Publisher:
ISBN: 9781780732466
Category :
Languages : en
Pages :
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Book Description
Author: Luke Robinson
Publisher:
ISBN: 9781780732466
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Luke Robinson
Publisher:
ISBN: 9781780730226
Category : Advanced supplementary examinations
Languages : en
Pages : 200
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Book Description
This resource has been specifically commissioned to cover the current AS mathematics specification from CCEA. The book covers units C1 and C2.
Author: Geoff Mannall
Publisher: Heinemann International Incorporated
ISBN: 9780435510909
Category : Mathematics
Languages : en
Pages : 228
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Book Description
A syllabus-specific textbook providing worked examples, exam-level questions and many practice exercises, in accordance to the new Edexcel AS and Advanced GCE specification.
Author: Neill Hamilton
Publisher:
ISBN: 9781780731919
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Author: Brian Gaulter
Publisher: Oxford University Press
ISBN: 9780199147359
Category : Juvenile Nonfiction
Languages : en
Pages : 436
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Book Description
Following on from Introducing Pure Mathematics by Smedley and Wiseman, Further Pure Mathematics covers in one volume all the pure mathematics required by students taking further mathematics. It also provides the basics for mathematics encountered in Higher Education. A clear text is supported by worked examples, exercises, and examination questions. The two books will cover the requirements of Pure Mathematics as part of double-certification Mathematics for any examinations board. · Clearly written explanations and graded worked examples to help students when they are studying alone · Wide variety of exercises · Comprehensive selection of recent exam questions from all the major examination boards
Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 378
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Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.
Author: Geoff Mannall
Publisher:
ISBN:
Category : A-level examinations
Languages : en
Pages : 273
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Book Description
A syllabus-specific textbook providing worked examples, exam-level questions and many practice exercises, in accordance to the new Edexcel AS and Advanced GCE specification.
Author: Wingfield Glassey
Publisher:
ISBN: 9781780730158
Category :
Languages : en
Pages : 288
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Book Description
This text follows the same content on point as the CCEA Specification. Presented in full colour with over 100 illustrations. Its bright and clear presentation will aid students' understanding of the course and the sample examination questions provided throughout reinforce the learning and aid preparation for the exam.
Author: MARTIN. MCKINNEY
Publisher:
ISBN: 9781780731162
Category :
Languages : en
Pages :
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Book Description
Author: Keith Pledger
Publisher: Pearson Education Ltd
ISBN: 9780435519124
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Including student-friendly worked examples and solutions that lead up to practice questions, this title gives students revision advice, ideas, summaries and exam practice, with hints and tips.
