Mathematical Problems and Examples
This book contains a collection of mathematical problems and examples from past Senate-House Examination Papers taken in the University of Cambridge from 1821 to 1836. This volume is ideal for students of mathematics and anyone interested in mathematical problem-solving. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Geometry and Trigonometry
This comprehensive textbook provides a thorough introduction to the principles of geometry and trigonometry, and includes a practical guide to land surveying. It is an indispensable resource for students of mathematics, surveying, and engineering, and is designed to be accessible to learners of all levels.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Tables D'int矇grales D矇finies
This book provides a comprehensive and detailed set of tables for evaluating definite integrals. With its clear presentation, well-organized format, and extensive coverage of standard integrals and functions, it is an essential resource for students, researchers, and professionals in mathematical fields such as calculus, physics, and engineering. This book remains an important reference work in the field of mathematical tables.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise On the Differential Calculus
Isaac Todhunter's "A Treatise on the Differential Calculus" is an essential guide for anyone learning this complex mathematical concept. Packed with numerous examples, Todhunter's book provides a clear and concise explanation of the differential calculus and its applications.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Inductive Geometry, Or, an Analysis of the Relations of Form and Magnitude
This book is a comprehensive analysis of inductive geometry, starting with elementary ideas derived through our senses. The author presents a logical progression of reasoning to develop the present state of the science. It is an essential resource for anyone interested in the field of geometry and its history.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A History Of Greek Mathematics; Volume 1
This book provides a comprehensive analysis of the history and development of mathematics in ancient Greece. It covers various topics including algebra, geometry, and trigonometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Short History of Greek Mathematics
Explore the fascinating world of Greek mathematics with this concise and informative history. Covering the period from Thales to Euclid, this book provides an overview of the major concepts and figures in Greek mathematics, along with insights into how their work has influenced modern mathematics and science.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Principles of Geometry; v.2
This definitive textbook on geometry by H. F. Baker is an essential resource for students and professionals alike. The book offers a comprehensive overview of Euclidean and non-Euclidean geometry, as well as practical applications in fields such as physics and engineering. This book is a must-read for anyone interested in the beauty and complexity of the mathematical universe.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Trigonometry Improv'D, and Projection of the Sphere, Made Easy
This practical guide to trigonometry and spherical projection offers clear explanations and practical examples that make complex concepts easy to understand. With a focus on real-world applications, this book is ideal for students, engineers, and anyone who wants to develop a deeper understanding of the properties of circles and spheres.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Short Comment On Sir I. Newton's Principia
In this concise and informative book, William Emerson provides notes on some of the more challenging aspects of Isaac Newton's groundbreaking work, the Principia. It is an excellent resource for students of physics and mathematics, as well as anyone interested in the history of science.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Descriptive Geometry, In Six Parts ...
This classic textbook on descriptive geometry has been a staple of engineering and architecture classrooms for generations. With clear explanations and helpful diagrams, Slagle's book is the perfect guide for those seeking to master the fundamentals of perspective.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book For The Million
Book for the Million is an innovative guide to calculating interest on loans or investments. Rutter's system is designed to be easy to use and accurate for any interest rate or sum of money. This book is an essential resource for anyone who wants to understand the basics of interest calculation.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Leonard Eugene Dickson
This classic text covers the theory of equations, including polynomials and their roots, algebraic equations, and more. Perfect for students of algebra and anyone interested in the foundations of mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
On the Conformal Representation of Plane Curves Particularly for the Cases P
This mathematical treatise explores the properties of conformal representation of plane curves and provides a detailed analysis of various cases. The author discusses the applications of conformal representation in the theory of functions and the geometry of surfaces. The book is aimed at advanced students and researchers in mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Notes On the Elements of Algebra and Trigonometry With Solutions of the More Difficult Questions
This comprehensive guide to algebra and trigonometry offers readers tips and tricks to tackle even the most challenging of problems. With detailed solutions to the most difficult questions, this book is perfect for students and professionals alike.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Differential Equations of Dynamics ...; Volume 1
This book presents an analytical treatment of the principles of dynamics. As with any other physical science, dynamics involves a mathematical description of the subject. Thus, this book develops the study of differential equations in dynamics in a systematic way. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
On the Definitions of the Trigonometric Functions
This classic mathematical treatise provides an in-depth analysis of the definition and properties of trigonometric functions. The author covers topics ranging from the use of complex numbers to the derivation of hyperbolic functions, and includes numerous examples and proofs. Essential reading for mathematicians and students of calculus and analysis.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Hamilton's Essentials of Arithmetic; Volume 2
Hamilton's Essentials of Arithmetic is an indispensable guide to the fundamental principles of mathematics. Written by Samuel Hamilton, an experienced teacher and mathematician, this book covers all the essential topics in arithmetic, from basic operations and fractions to percentages, algebra and geometry. With clear explanations and worked examples, as well as a wide range of practice exercises and quizzes, Hamilton's Essentials of Arithmetic is an ideal textbook for students of all ages and abilities.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Five Place Logarithmic Tables
Originally published in 1893, this book provides a comprehensive guide to logarithmic and natural functions. With clear explanations and easy-to-use tables, Charles Hamilton Ashton and Walter Randall Marsh make it simple to perform complex calculations quickly and accurately. This book is an essential reference for students, engineers, and anyone else who needs to work with logarithmic functions on a regular basis.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements of Algebra
This book provides a comprehensive introduction to algebra designed for common school students. With clear instruction and plenty of examples, students will gain a strong understanding of the fundamental principles of algebra. Written by George Roberts Perkins, this book also serves as a great introduction for more advanced algebraic concepts.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Mathematical Tables
A landmark of mathematical scholarship, this volume collects logarithmic tables that enable users to easily calculate complex mathematical functions. The contributors - all esteemed mathematicians of their time - also provide detailed explanations of the tables' construction and use.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Examples in Algebra
Whether you're a student or teacher of algebra, this comprehensive textbook has everything you need to excel in the subject. With over eight thousand exercises and problems, the book is carefully graded to provide a challenging but rewarding learning experience.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential Equations, Fourier Series, and Hilbert Spaces
This book is intended to be used as a rather informal, and surely not complete, textbook on the subjects indicated in the title. It collects my Lecture Notes held during three academic years at the University of Siena for a one semester course on "Basic Mathematical Physics", and is organized as a short presentation of few important points on the arguments indicated in the title. It aims at completing the students' basic knowledge on Ordinary Differential Equations (ODE) - dealing in particular with those of higher order - and at providing an elementary presentation of the Partial Differential Equations (PDE) of Mathematical Physics, by means of the classical methods of separation of variables and Fourier series. For a reasonable and consistent discussion of the latter argument, some elementary results on Hilbert spaces and series expansion in othonormal vectors are treated with some detail in Chapter 2. Prerequisites for a satisfactory reading of the present Notes are not only a course of Calculus for functions of one or several variables, but also a course in Mathematical Analysis where - among others - some basic knowledge of the topology of normed spaces is supposed to be included. For the reader's convenience some notions in this context are explicitly recalled here and there, and in particular as an Appendix in Section 1.4. An excellent reference for this general background material is W. Rudin's classic Principles of Mathematical Analysis. On the other hand, a complete discussion of the results on ODE and PDE that are here just sketched are to be found in other books, specifically and more deeply devoted to these subjects, some of which are listed in the Bibliography. In conclusion and in brief, my hope is that the present Notes can serve as a second quick reading on the theme of ODE, and as a first introductory reading on Fourier series, Hilbert spaces, and PDE
Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.
Predictive Analytics in System Reliability
This book provides engineers and researchers knowledge to help them in system reliability analysis using machine learning, artificial intelligence, big data, genetic algorithm, information theory, multi-criteria decision making, and other techniques. It will also be useful to students learning reliability engineering.The book brings readers up to date with how system reliability relates to the latest techniques of AI, big data, genetic algorithm, information theory, and multi-criteria decision making and points toward future developments in the subject.
Mathematical Philosophy
Gain a new appreciation for the intersection of mathematics and philosophy with this fascinating collection of lectures. Cassius Jackson Keyser explores topics ranging from determinism and indeterminacy to the nature of infinity, offering readers a glimpse into the wondrous world of mathematical philosophy.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
On the Theory of the Moon, and On the Perturbations of the Planets
First published in 1877, 'On the Theory of the Moon and on the Perturbations of the Planets' is a groundbreaking work of astronomical theory. Drawing on the latest data and computational methods of his era, the author presents a complex mathematical model of lunar motion and planetary perturbations. Though the book's technical details may prove challenging for non-specialists, its importance to the field of astronomy cannot be overstated.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential and Integral Calculus
This textbook provides an introduction to differential and integral calculus, with a focus on applications in engineering. The book includes numerous examples and exercises, as well as a range of appendices covering topics like mathematical tables and integral formulas. This is an essential resource for anyone studying calculus.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.