This handbook specifically targets the mathematical elements of A Level Science, whichever specification you're following. Includes plenty of practice questions in different contexts to increase confidence, worked examples and model answers for revision and exam preparation.Plus hints and tips for the exam and how to avoid common errors made in mathematical science questions.
Written by senior examiners, this full-colour course companion helps you develop a thorough understanding of the essential mathematical skills required in A Level Physics. / Helps you understand how and why mathematical formulae work in physics and gives you the techniques you need to answer the range of exam questions effectively. / Provides lots of practical advice, exemplified by numerous physics questions, on how you can build the all-important mathematical understanding which is of great importance in the A Level Physics exams. / Topic-based content starts from basic fundamentals and slowly builds skills and understanding, using physics problems as the key worked examples throughout. / Includes content on sinusoidal functions, complicated graphs and complex numbers. / Detailed explanations within numerous worked examples help you understand the thinking behind each mathematical technique and how and when to use them. / Numerous test yourself questions provide plenty of practice and skill reinforcement. / Data exercises provide practice in using techniques to handle data and plot results. / Quickfire quizzes rapidly reinforce skills and understanding as a topic progresses. / Pointers provide hints for refining exam technique and avoiding common mistakes. / The material has been mapped against the mathematical requirements criteria for all A Level Physics courses from AQA, Pearson, OCR and WJEC, CCEA, the International Baccalaureate, the Oxford University Physics Aptitude Test and the Cambridge Pre-U.
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.
New 2017 Cambridge A Level Maths and Further Maths resources to help students with learning and revision. Written for the AQA AS/A Level Further Mathematics specifications for first teaching from 2017, this print Student Book covers the compulsory 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. This book has entered an AQA approval process.
Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
This guide has been revised to match the new specifications. It gives thorough expert explanations, worked examples and plenty of exam practice in physics calculations. It can be used as a course support book as well as exam practice.
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
