Advanced Problems in Mathematics


Book Description

This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and 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 anyone interested in advanced mathematics.







Words and Places


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The Sources of Standard English


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History of Scotland


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Elements of Plane Trigonometry


Book Description

Elements of Plane Trigonometry by Hugh Blackburn: This comprehensive book introduces readers to the fundamental principles of plane trigonometry. Hugh Blackburn, a renowned mathematician, presents a clear and accessible guide to understanding the relationships between angles and sides of triangles, essential for solving practical problems in mathematics, engineering, and various scientific disciplines. Key Aspects of the Book "Elements of Plane Trigonometry": Foundational Concepts: Blackburn lays out the basic concepts and definitions of plane trigonometry, providing a solid foundation for further exploration in the field. Practical Applications: The book emphasizes real-world applications of trigonometry, allowing readers to apply their knowledge to practical problem-solving scenarios. Clear Explanations: Blackburn's writing style simplifies complex trigonometric concepts, making them accessible to both students and enthusiasts alike. Hugh Blackburn was a Scottish mathematician and professor renowned for his contributions to geometry and mathematical education. Born in 1823, Blackburn devoted much of his career to teaching at the University of Glasgow. His works in trigonometry and geometry have left a lasting impact on the field, benefiting countless students and academics seeking to grasp the intricacies of mathematics.