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A History of Vector Analysis
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Creators of Mathematical and Computational Sciences
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
The Cambridge Companion to John Herschel
It has been said that being scientific in Victorian England meant to be as much like John Herschel as possible. This volume shows readers what it meant to be John Herschel (1792-1871), one of England's most prominent polymaths. Drawing on his published oeuvre and recent scholarship, as well as an immense amount of surviving archival material and correspondence, these essays present the first ever comprehensive account of Herschel's life, work, and legacy. From mathematics and astronomy, to philosophy and politics, the volume sheds new light on his crucial role in the history of Victorian science and explores a wide array of issues in the history of nineteenth-century culture, philosophy, mathematics, and beyond.
Analysis: A Gateway To Understanding Mathematics
This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
Analytic Solutions Of Functional Equations
This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.
Cohesion
Why does matter stick together? Why do gases condense to liquids, and liquids to solids? This book provides a detailed historical account of how some of the leading scientists of the past three centuries have tried to answer these questions.
A Concise History of Mathematics
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating. Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their begi...
Wisdom, Science, and the Scriptures
This collection of essays is offered in admiration of and in gratitude for the work of Ernest Charles Lucas. The title of the volume acknowledges Ernest's particular areas of interest and expertise. The word wisdom comes first for two reasons: firstly because the Bible's Wisdom literature is a particular love about which Ernest has published a number of books, and secondly because wisdom is a characteristic of the man. Several of the contributions to this volume pick up the theme of biblical wisdom, while others touch on the practical application of a wisdom shaped by the Scriptures to vital contemporary issues. The second word of the title, science, reflects both Ernest's first career as a ...
