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Erwin Kreyszig
Erwin Otto Kreyszig (January 6, 1922 in Pirna, Germany – December 12, 2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems. He was also a distinguished author, having written the textbook ''Advanced Engineering Mathematics'', the leading textbook for civil, mechanical, electrical, and chemical engineering undergraduate engineering mathematics. Kreyszig received his PhD degree in 1949 at the University of Darmstadt under the supervision of Alwin Walther. He then continued his research activities at the universities of Tübingen and Münster. Prior to joining Carleton University in 1984, he held positions at Stanford University (1954/55), the University of Ottawa (1955/56), Ohio State University (1956–60, professor 1957) and he completed his habilitation at the University of Mainz. In 1960 he became professor ...
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Pirna, Germany
Pirna (; hsb, Pěrno; ) is a town in Saxony, Germany and capital of the administrative district Sächsische Schweiz-Osterzgebirge. The town's population is over 37,000. Pirna is located near Dresden and is an important district town as well as a ''Große Kreisstadt''. Geography Geographical location Pirna is located in the vicinity of the Sandstone Mountains in the upper Elbe valley, where two nearby tributaries, Wesenitz from the north and Gottleuba from the south, flow into the Elbe. It is also called the "gate to the Saxon Switzerland" ( Ger: ''Tor zur Sächsischen Schweiz''). The Saxon wine region ( Ger: ''Sächsische Weinstraße''), which was established in 1992, stretches from Pirna via Pillnitz, Dresden, and Meissen to Diesbar-Seußlitz. Neighboring municipalities Pirna is located southeast of Dresden. Neighboring municipalities are Bad Gottleuba-Berggießhübel (town), Bahretal, Dohma, Dohna (town), Dürrröhrsdorf-Dittersbach, Heidenau (town), Königs ...
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Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ...
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Texas A&M University
Texas A&M University (Texas A&M, A&M, or TAMU) is a public, land-grant, research university in College Station, Texas. It was founded in 1876 and became the flagship institution of the Texas A&M University System in 1948. As of late 2021, Texas A&M has the largest student body in the United States, and is the only university in Texas to hold simultaneous designations as a land, sea, and space grant institution. In 2001, it was inducted into the Association of American Universities. The university's students, alumni, and sports teams are known as Aggies, and its athletes compete in eighteen varsity sports as a member of the Southeastern Conference. The university was the first public higher-education institution in Texas; it opened for classes on October 4, 1876, as the Agricultural and Mechanical College of Texas (A.M.C.) under the provisions of the 1862 Morrill Land-Grant Act. In the following decades, the college grew in size and scope, expanding to its largest enrol ...
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University Of Graz
The University of Graz (german: link=no, Karl-Franzens-Universität Graz, ), located in Graz, Austria, is the largest and oldest university in Styria, as well as the second-largest and second-oldest university in Austria. History The university was founded in 1585 by Archduke Charles II of Austria. The bull of 1 January 1586, published on 15 April 1586, was approved by Pope Sixtus V. For most of its existence it was controlled by the Catholic Church, and was closed in 1782 by Emperor Joseph II in an attempt to gain state control over educational institutions. Joseph II transformed it into a ''lyceum'', where civil servants and medical personnel were trained. In 1827 it was re-instituted as a university by Emperor Francis I, thus gaining the name ''Karl-Franzens-Universität'', meaning ''Charles Francis University''. Over 30,000 students are currently enrolled at the university. Academics The university is divided into six faculties, the two largest are the Faculty ...
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Graz University Of Technology
Graz University of Technology (german: link=no, Technische Universität Graz, short ''TU Graz'') is one of five universities in Styria, Austria. It was founded in 1811 by Archduke John of Austria and is the oldest science and technology research and educational institute in Austria. It currently comprises seven faculties and is a public university. It offers 19 bachelors and 35 masters study programmes (of which 18 are in English) across all technology and natural science disciplines. Doctoral training is organised in 14 English-speaking doctoral schools. The university has more than 13,000 students, and approximately 2,000 students graduate every year. Science study programmes are offered in the framework of NAWI Graz together with the University of Graz. The university has a staff of 3,912. Research areas are combined in five fields of expertise. ''TU Graz'', the ''University of Leoben'' and ''TU Wien'' form the network ''Austrian Universities of Technology (TU Austria)'' wi ...
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University Of Mainz
The Johannes Gutenberg University Mainz (german: Johannes Gutenberg-Universität Mainz) is a public research university in Mainz, Rhineland Palatinate, Germany, named after the printer Johannes Gutenberg since 1946. With approximately 32,000 students (2018) in about 100 schools and clinics, it is among the largest universities in Germany. Starting on 1 January 2005 the university was reorganized into 11 faculties of study. The university is a member of the German U15, a coalition of fifteen major research-intensive and leading medical universities in Germany. The Johannes Gutenberg University is considered one of the most prestigious universities in Germany. The university is part of the IT-Cluster Rhine-Main-Neckar. The Johannes Gutenberg University Mainz, the Goethe University Frankfurt and the Technische Universität Darmstadt together form the Rhine-Main-Universities (RMU). History The first University of Mainz goes back to the Archbishop of Mainz, Prince-elector and ...
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Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ...
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Alwin Walther
Alwin Oswald Walther (born 6 May 1898 in Reick; died 4 January 1967 in Darmstadt) was a German mathematician, engineer and professor. He is one of the pioneers of mechanical computing technology in Germany. Life Alwin Walther was born in May 1898 in Reick near Dresden. From 1916 to 1919 Walther served his military service. He was wounded twice and received the Iron Cross 1st Class. From 1919 to 1922 he studied mathematics at the Technical University of Dresden and the University of Göttingen. In 1922, he received his doctorate to Dr. rer. tech. (today according to Dr.-Ing.) from the University of Göttingen under the supervision of Gerhard Kowalewski and . From 1922 to 1928, he was assistant and senior Assistant to Richard Courant at the Mathematical Institute at the University of Göttingen. In 1924, he habilitated and became a Privatdozent. The year before, he stayed in Copenhagen for scientific purposes. From 1926 to 1927 he was a Rockefeller Fellow in Copenhagen and Stockho ...
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Textbook
A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textbooks and other books used in schools. Today, many textbooks are published in both print and digital formats. History The history of textbooks dates back to ancient civilizations. For example, Ancient Greeks wrote educational texts. The modern textbook has its roots in the mass production made possible by the printing press. Johannes Gutenberg himself may have printed editions of ''Ars Minor'', a schoolbook on Latin grammar by Aelius Donatus. Early textbooks were used by tutors and teachers (e.g. alphabet books), as well as by individuals who taught themselves. The Greek philosopher Socrates lamented the loss of knowledge because the media of transmission were changing. Before the invention of the Greek alphabet 2,500 years ago, knowledge ...
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Linear System
In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. For example, the propagation medium for wireless communication systems can often be modeled by linear systems. Definition A general deterministic system can be described by an operator, that maps an input, as a function of to an output, a type of black box description. A system is linear if and only if it satisfies the superposition principle, or equivalently both the additivity and homogeneity properties, without restrictions (that is, for all inputs, all scaling constants and all time.) The superposition principle means that a linear combination of inputs to the system produces a linear combination ...
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Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ...
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Ottawa
Ottawa (, ; Canadian French: ) is the capital city of Canada. It is located at the confluence of the Ottawa River and the Rideau River in the southern portion of the province of Ontario. Ottawa borders Gatineau, Quebec, and forms the core of the Ottawa–Gatineau census metropolitan area (CMA) and the National Capital Region (NCR). Ottawa had a city population of 1,017,449 and a metropolitan population of 1,488,307, making it the fourth-largest city and fourth-largest metropolitan area in Canada. Ottawa is the political centre of Canada and headquarters to the federal government. The city houses numerous foreign embassies, key buildings, organizations, and institutions of Canada's government, including the Parliament of Canada, the Supreme Court, the residence of Canada's viceroy, and Office of the Prime Minister. Founded in 1826 as Bytown, and incorporated as Ottawa in 1855, its original boundaries were expanded through numerous annexations and were ultimately ...
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