Author : Hugh Neill
Publisher : Cambridge University Press
Page : 200 pages
File Size : 43,87 MB
Release : 2001-03-29
Category : Juvenile Nonfiction
ISBN : 9780521783712
Pure Mathematics 4 is written specifically for the Pure Mathematics 4 module of the new OCR Advanced Level Mathematics specification. Mathematical ideas are explained carefully and clearly, with many stimulating worked examples. There are plenty of exercises throughout, along with revision exercises - all written by experienced examiners.
Author : Martin Liebeck
Publisher : CRC Press
Page : 235 pages
File Size : 44,51 MB
Release : 2018-09-03
Category : Mathematics
ISBN : 1315360713
Accessible 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 : B. D. Bunday
Publisher : Butterworth-Heinemann
Page : 526 pages
File Size : 19,4 MB
Release : 2014-05-20
Category : Mathematics
ISBN : 1483106136
Pure 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 : Pledger et al
Publisher : Heinemann Educational Secondary Division
Page : pages
File Size : 14,33 MB
Release : 2005-10
Category : Mathematics
ISBN : 9780435512026
Created to accompany the Core Mathematics 4 edition of the Heinemann Modular Mathematics for Edexcel AS and A Level book, this student edition of the solutionbank gives your students access to complete worked solutions where they need them most - at home.
Author : A. F. Horadam
Publisher : Elsevier
Page : 595 pages
File Size : 45,15 MB
Release : 2014-05-16
Category : Mathematics
ISBN : 1483147908
Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.
Author : Steve Warner
Publisher :
Page : 262 pages
File Size : 38,82 MB
Release : 2018-09-25
Category :
ISBN : 9780999811757
Pure Mathematics for Beginners Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for professors teaching an introductory college course in higher mathematics high school teachers working with advanced math students students wishing to see the type of mathematics they would be exposed to as a math major. The material in this pure math book includes: 16 lessons in 8 subject areas. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Logic: Statements and Truth Lesson 2 - Set Theory: Sets and Subsets Lesson 3 - Abstract Algebra: Semigroups, Monoids, and Groups Lesson 4 - Number Theory: Ring of Integers Lesson 5 - Real Analysis: The Complete Ordered Field of Reals Lesson 6 - Topology: The Topology of R Lesson 7 - Complex Analysis: The field of Complex Numbers Lesson 8 - Linear Algebra: Vector Spaces Lesson 9 - Logic: Logical Arguments Lesson 10 - Set Theory: Relations and Functions Lesson 11 - Abstract Algebra: Structures and Homomorphisms Lesson 12 - Number Theory: Primes, GCD, and LCM Lesson 13 - Real Analysis: Limits and Continuity Lesson 14 - Topology: Spaces and Homeomorphisms Lesson 15 - Complex Analysis: Complex Valued Functions Lesson 16 - Linear Algebra: Linear Transformations
Author : Clement John Tranter
Publisher :
Page : 0 pages
File Size : 38,25 MB
Release : 1975
Category : Mathematics
ISBN :
Author : Hugh Neill
Publisher : Cambridge University Press
Page : 319 pages
File Size : 41,47 MB
Release : 2002-09-19
Category : Juvenile Nonfiction
ISBN : 9780521530118
Written to match the contents of the Cambridge syllabus. Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.
Author : Ben Woolley
Publisher : Cambridge University Press
Page : 625 pages
File Size : 21,58 MB
Release : 2017-07-06
Category : Juvenile Nonfiction
ISBN : 1316644286
New 2017 Cambridge A Level Maths and Further Maths resources help students with learning and revision. Written for the OCR AS/A Level Mathematics specifications for first teaching from 2017, this print Student Book covers the content for AS and the first year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study.
Author : William K. Allard
Publisher : American Mathematical Soc.
Page : 482 pages
File Size : 20,13 MB
Release : 1986
Category : Mathematics
ISBN : 0821814702
Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
