Advanced Problems in Mathematics

Preparing for University

Author: Stephen Siklos

Publisher: Open Book Publishers

ISBN: 1783741449

Category: Mathematics

Page: 186

View: 5290

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This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.

Curve Sketching

Author: H. M. Kenwood,C. Plumpton

Publisher: Macmillan International Higher Education

ISBN: 1349067091

Category: Algebra

Page: 55

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Integration

Author: N.A

Publisher: Macmillan International Higher Education

ISBN: 1349060453

Category:

Page: 76

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Core Mathematics C3

Author: N.A

Publisher: Heinemann

ISBN: 9780435510992

Category: Mathematics

Page: 169

View: 6776

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Updated for the 2004 specification, these new Core books are in full colour to ease the transition from GCSE to A Level. Tailor-made for the new specification and written by members of an experienced Senior Examining Team, you can be sure they provide everything students need to succeed.

Mathematics

The Core Course for A-level

Author: Linda Bostock,Suzanne Chandler

Publisher: Nelson Thornes

ISBN: 9780859503068

Category: Juvenile Nonfiction

Page: 752

View: 8277

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Written for the Edexcel Syllabus B and similar schemes offered by the major Awarding Bodies. The authors have incorported many modern approaches to mathematical understanding whilst retaining the most effective traditional methods. Plenty of worked examples and stimulating exercises also support this highly popular text.

Further Pure Mathematics

Author: L. Bostock,Suzanne Chandler,C. Rourke

Publisher: Nelson Thornes

ISBN: 9780859501033

Category: Juvenile Nonfiction

Page: 752

View: 877

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This volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level.

How Students Learn

Mathematics in the Classroom

Author: Committee on How People Learn: A Targeted Report for Teachers,Board on Behavioral, Cognitive, and Sensory Sciences,Division of Behavioral and Social Sciences and Education,National Research Council

Publisher: National Academies Press

ISBN: 0309548020

Category: Education

Page: 231

View: 1550

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How Students Learn: Mathematics in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. This book shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities.

Mathematical Models for Society and Biology

Author: Edward Beltrami

Publisher: Academic Press

ISBN: 0124046932

Category: Social Science

Page: 288

View: 5531

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Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. Offers 40% more content – 5 new chapters in addition to revisions to existing chapters Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book

Core Maths for Advanced Level

Author: Linda Bostock,Suzanne Chandler

Publisher: Nelson Thornes

ISBN: 9780748755097

Category: Juvenile Nonfiction

Page: 534

View: 2174

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Since the launch of the Human Genome project in 1990, understanding molecular and clinical genetics has become an essential aspect of modern medical education. Solid knowledge of genetics is now crucial to a host of healthcare professionals including primary care physicians, nurses and physician assistants. This third edition takes this crucial information and incorporates it into a student-friendly format that focuses on the core concept of human genetics. Each chapter uses the same problem-based approach as the previous editions, and addresses the important role of genetics and disease by integrating molecular and clinical genetics.

Graph Theory

Author: B. Bollobás

Publisher: Elsevier

ISBN: 9780080871738

Category: Mathematics

Page: 200

View: 6244

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The Cambridge Graph Theory Conference, held at Trinity College from 11 to 13 March 1981, brought together top ranking workers from diverse areas of the subject. The papers presented were by invitation only. This volume contains most of the contniutions, suitably refereed and revised. For many years now, graph theory has been developing at a great pace and in many directions. In order to emphasize the variety of questions and to preserve the freshness of research, the theme of the meeting was not restricted. Consequently, the papers in this volume deal with many aspects of graph theory, including colouring, connectivity, cycles, Ramsey theory, random graphs, flows, simplicial decompositions and directed graphs. A number of other papers are concerned with related areas, including hypergraphs, designs, algorithms, games and social models. This wealth of topics should enhance the attractiveness of the volume.

Differential Forms in Algebraic Topology

Author: Raoul Bott,Loring W. Tu

Publisher: Springer Science & Business Media

ISBN: 1475739516

Category: Mathematics

Page: 338

View: 3803

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Graph Theory

Author: Reinhard Diestel

Publisher: Springer

ISBN: 9783662536216

Category: Mathematics

Page: 428

View: 9658

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This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. From the reviews: “This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematiciarum “Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity.” Persi Diaconis & Ron Graham, SIAM Review “The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications “Succeeds dramatically ... a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika “ ... like listening to someone explain mathematics.” Bulletin of the AMS

Number Fields

Author: Daniel A. Marcus

Publisher: Springer

ISBN: 3319902334

Category: Mathematics

Page: 203

View: 7279

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.