Research about a Mathematician- (Essay Sample)

Research about a Mathematician Student Name Institution Name Date Peter John Olver Introduction Peter John Olver is a famous mathematician of an American origin, with various elementary interests in research involving the implementation of symmetry as well as Lie groups in differential and integral equations. Peter John Olver was a full professor in the Minnesota University from the year 1985 and ten became the head of the mathematics department in the same university. In the year 2003, he was voted as one of the 240 best mathematicians in the world. In the year 2014, about eleven years later, he became a member of the Society for Industrial and Applied Mathematics (SIAM) with the role of development of the new geometric techniques for differential and integral equations, which led to the application in various fields such as fluid mechanics, quantum mechanics, elasticity, and processing of image (Olver 45). Additionally, Olver was elected as a member in the Institute of Physics and had membership of the American Mathematical Society. In his specialization, Olver was a fruitful author, who wrote more than 200 academic research works by the end of 2015. From his academic writings, approximately 137 were qualified to form part of the major adjudicated journals. About 46 of his academic works have been shown in conference events, while 7 of them have been placed in appendices as well as chapters of various books. Contributions of Peter John Olver Peter John Olver has written a number of books on various lines of Mathematics, all of which have been published. His earliest publication was in the early 1980’s. Applications of Lie groups to differential Equations This was the first book written by Peter John Olver, which he did in 46 different editions reproduced between the year 1980 and 2000. It has been translated into in three other languages apart from English. Its achievement has been the holding by at least 1,080 libraries of WorldCat membership in the whole world. The concepts of symmetrical techniques in this book have gained popularity and great reputation in the research about differential equations. It also introduces the implementation of Lie groups in differential equations. The application has been proved to be of practical essence in mechanics. The calculation procedures are presented such that students and research experts can learn and put them into practical application. From an elucidation of the research application, this book produces the fundamental theory. Most of its topics are displayed in prose form, with strong highlights on the explicit instances as well as calculations. Additional illustrations and new hypothetical improvements have appeared in the practices towards the end of every chapter. Equivalence, Invariants, and symmetry This was the second book to be written by Peter John Olver. It was published in 26 different editions between the year 1994 and 2010, majorly in one language, English. At least 445 library members of WorldCat in the whole world have held it. It is drawn from the wider spectrum of scientific and mathematical disciplines such as geometry, numerical analysis, applied algebra. In that regard, this book expresses an inventive fusion of various methods used for the study of questions on equivalence as well as symmetry. These questions arise in a number of arithmetical fields of specialization as well as applications in mechanics and physics. Classical Invariant Theory The classical invariant theory was the third book that Peter John Olver published. It was produced in 17 editions between the year 1999 and 2003, only on one language, English. This book was held by at least 381 member libraries of WorldCat in the entire world. From its publications, there has been a renaissance of concern in typical invariant model motivated by a number of factors. These factors include the new hypothetical developments, the renewal of the computational procedures attached to the influence of the new computer packages for solving algebra, and a vast collection of new applications such as the concept of number and geometry, the application in physics and computer vision (Olver 52). This book introduces the conventional theory and the contemporary advances in applications. It is aimed at advancing the undergraduate students as well as graduate. The book therefore includes a number of practical exercises and chronological information, comprehensive evidences of the essential propositions, and dynamic and stimulating descriptions. Solutions in Physics, Mathematics, and Nonlinear Optics This is the fourth book to be written by Peter John Olver. It has been published in 14 different editions in the year 1990, mainly in English. It had been held by at least 272 member libraries of WorldCat in the whole world. The current volume exposes some lectures presented in two workshops. The lectures include the solutions to Physics and Mathematics, Non-linear Optics and solutions to the Plasma Physics (Olver 41). From the time of their invention, in the early years of the 1960's, the solutions have shown a reflective influence on various fields, from the spectrum of engineering and physical sciences to that of applied algebra and geometry. The contemporary contributions signify only a small portion of the aspects, but grant the readers a good impression of numerous existing directions of investigation, including optics, inverse distribution, fluid dynamics, symmetry, BaМ€cklund equations, and Hamiltonian equations. Applied Linear Algebra This is the fifth book to be written by Peter John Olver. It has been published in 10 different editions between the year 2005 and 2006 mainly in one language; English. It has been held by at least 176 member libraries of WorldCat in the entire world. The aim of this book is to teach the fundamental procedures as well as algorithms applied in the modern and real problems likely to be faced by science and engineering students. Secondly, it is aimed at fostering consideration of the mathematical techniques’ application and their derivatives from the preliminary principles. Peter John Olver presents the applications together with their concepts, which lead to reasoning over the essential outcomes. It provides the concepts and evidences where necessary. Because there is no prior experience to linear algebra, the book motivates both the elementary classes and the advanced level undergraduate (Olver 23). It also assists the entry level of graduate engineers in applied mathematical studies. Introduction to Partial Differential Equations This is the sixth book that Peter John Olver wrote, and was published in 10 different editions in 2014. The book exists only in the English Language. It has been held by at least 135 member libraries of WorldCat in the whol...