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Author: A. J. Sadler
Publisher: Oxford University Press, USA
Published: 1987
Total Pages: 614
ISBN-13: 9780199142439
DOWNLOAD EBOOKThis textbook covers in one volume all topics required in the pure mathematics section of single subject A-Level Mathematics syllabuses in the UK, as well as a significant part of the work required by those studying for Further Mathematics and for A-Level
Author: Robert Smedley
Publisher: Oxford University Press
Published: 2001-02
Total Pages: 568
ISBN-13: 9780199148035
DOWNLOAD EBOOKThis textbook covers the requirements of students taking pure mathematics as part of a single-maths A-level exam. It assumes a starting point of the equivalent of Level 7 in the National Curriculum or GCSE Grade B/C.
Author: Linda Bostock
Publisher: Nelson Thornes
Published: 1979
Total Pages: 660
ISBN-13: 9780859500975
DOWNLOAD EBOOKIncludes a section on matrices and transformations, this book features worked examples and exercises to illustrate concepts at every stage of its development. It caters for the "Pure Mathematics" content of various courses in Further Mathematics and also for preparation for the Advanced Extension Award.
Author: Martin Liebeck
Publisher: CRC Press
Published: 2018-09-03
Total Pages: 235
ISBN-13: 1315360713
DOWNLOAD EBOOKAccessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
Author: Brian Gaulter
Publisher: Oxford University Press
Published: 2001-01-18
Total Pages: 436
ISBN-13: 9780199147359
DOWNLOAD EBOOKFollowing 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: Clive Newstead
Publisher: Math Dot Coffee Publishing
Published: 2019-08
Total Pages:
ISBN-13: 9781950215003
DOWNLOAD EBOOKThis introductory undergraduate-level textbook covers the knowledge and skills required to study pure mathematics at an advanced level. Emphasis is placed on communicating mathematical ideas precisely and effectively. A wide range of topic areas are covered.
Author: B. D. Bunday
Publisher: Butterworth-Heinemann
Published: 2014-05-20
Total Pages: 526
ISBN-13: 1483106136
DOWNLOAD EBOOKPure Mathematics for Advanced Level, Second Edition is written to meet the needs of the student studying for the General Certificate of Education at Advanced Level. The text is organized into 22 chapters. Chapters 1-5 cover topics in algebra such as operations with real numbers, the binomial theorem, and the quadratic function and the quadratic equation. The principles, methods and techniques in calculus, trigonometry, and co-ordinate geometry are provided as well. Two new chapters have been added: Numerical Methods and Vectors. Mathematics students will find this book extremely useful.
Author: Elias Wegert
Publisher: Springer Science & Business Media
Published: 2012-08-30
Total Pages: 374
ISBN-13: 3034801807
DOWNLOAD EBOOKThis book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains. Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes. In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions. Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.
Author: John Kenneth Backhouse
Publisher:
Published: 2011-01-11
Total Pages: 464
ISBN-13: 9781408227725
DOWNLOAD EBOOKPure Mathematics is a new Students' Book and accompanying Teacher's Guide that offers full coverage of the East African A Level curriculum.
Author: Stephen Abbott
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 269
ISBN-13: 0387215069
DOWNLOAD EBOOKThis elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
