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One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.
Lectures on Elementary Mathematics by J. L. Lagrange: In this enlightening collection of lectures, J. L. Lagrange, a renowned mathematician and astronomer, presents fundamental concepts in elementary mathematics. The book serves as a comprehensive and accessible resource for students and enthusiasts seeking to deepen their understanding of mathematical principles and their applications. Key Aspects of the Book "Lectures on Elementary Mathematics": Mathematical Fundamentals: Lagrange's lectures cover essential topics in elementary mathematics, providing a strong foundation for further mathematical study. Accessible Explanations: The book presents mathematical concepts in a clear and understandable manner, making it suitable for readers with varying levels of mathematical background. Applied Mathematics: "Lectures on Elementary Mathematics" emphasizes the practical applications of mathematical principles in various fields. J. L. Lagrange (Joseph-Louis Lagrange) was an Italian-French mathematician and astronomer born in 1736. He made significant contributions to various branches of mathematics, including calculus, number theory, and celestial mechanics. Lagrange's lectures and research elevated the study of mathematics, and he remains a prominent figure in the history of mathematical thought.
Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.
The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.