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.




A Book of Mathematical Problems


Book Description

Reprint of the original, first published in 1867.




History of Scotland


Book Description
















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.




Masters of Theory


Book Description

Winner of the the Susan Elizabeth Abrams Prize in History of Science. When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible in the nineteenth and early twentieth centuries when Britain produced many leading mathematical physicists. In this book, Andrew Warwick shows how the education of these "masters of theory" led them to transform our understanding of everything from the flight of a boomerang to the structure of the universe. Warwick focuses on Cambridge University, where many of the best physicists trained. He begins by tracing the dramatic changes in undergraduate education there since the eighteenth century, especially the gradual emergence of the private tutor as the most important teacher of mathematics. Next he explores the material culture of mathematics instruction, showing how the humble pen and paper so crucial to this study transformed everything from classroom teaching to final examinations. Balancing their intense intellectual work with strenuous physical exercise, the students themselves—known as the "Wranglers"—helped foster the competitive spirit that drove them in the classroom and informed the Victorian ideal of a manly student. Finally, by investigating several historical "cases," such as the reception of Albert Einstein's special and general theories of relativity, Warwick shows how the production, transmission, and reception of new knowledge was profoundly shaped by the skills taught to Cambridge undergraduates. Drawing on a wealth of new archival evidence and illustrations, Masters of Theory examines the origins of a cultural tradition within which the complex world of theoretical physics was made commonplace.