|
Kevin Houston (mathematician)
''How to Think Like a Mathematician: A Companion to Undergraduate Mathematics'' is a book by Kevin Houston, a senior lecturer in mathematics at the University of Leeds. It was published in 2009 by Cambridge University Press. The book targets current and incoming undergraduate students of mathematics, and focuses on the mathematical language and techniques required for proof writing. Summary The book is divided into five chapters: # ''Study skills for mathematicians'' # ''How to think logically'' # ''Definitions, theorems and proofs'' # ''Techniques of proof'' # ''Mathematics that all mathematicians need'' Reception Michele Intermont of the Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ... described the book as a "wonderful resource". ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessment to form Cambridge University Press and Assessment under Queen Elizabeth II's approval in August 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it published over 50,000 titles by authors from over 100 countries. Its publications include more than 420 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also published Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. It also served as the King's Printer. Cambridge University Press, as part of the University of Cambridge, was a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hardcover
A hardcover, hard cover, or hardback (also known as hardbound, and sometimes as casebound (At p. 247.)) book is one bookbinding, bound with rigid protective covers (typically of binder's board or heavy paperboard covered with buckram or other cloth, heavy paper, or occasionally Calf-binding, leather). It has a flexible, sewn spine which allows the book to lie flat on a surface when opened. Modern hardcovers may have the pages glued onto the spine in much the same way as paperbacks. Following the ISBN sequence numbers, books of this type may be identified by the abbreviation Hbk. Overview Hardcover books are often printed on acid-free paper, and they are much more durable than paperbacks, which have flexible, easily damaged paper covers. Hardcover books are marginally more costly to manufacture. Hardcovers are frequently protected by artistic dust jackets, but a "jacketless" alternative has increased in popularity: these "paper-over-board" or "jacketless" hardcover bindings forgo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Leeds
The University of Leeds is a public research university in Leeds, West Yorkshire, England. It was established in 1874 as the Yorkshire College of Science. In 1884, it merged with the Leeds School of Medicine (established 1831) and was renamed Yorkshire College. It became part of the federal Victoria University (UK), Victoria University in 1887, joining Owens College (which became the University of Manchester) and University College Liverpool (which became the University of Liverpool).Charlton, H. B. (1951) ''Portrait of a University''. Manchester: U. P.; chap. IV In 1904, a royal charter was granted to the University of Leeds by Edward VII, King Edward VII. Leeds is the list of universities in the United Kingdom by enrolment, tenth-largest university in the United Kingdom by total enrolment and receives over 68,000 undergraduate applications per year, making it the fourth-most popular university (behind University of Manchester, Manchester, University College London and King's C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Undergraduate Education
Undergraduate education is education conducted after secondary education and before postgraduate education, usually in a college or university. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, in the United States, a student pursuing an associate or bachelor's degree is known as an ''undergraduate student'' while a student who has already obtained a bachelor's degree and is pursuing a higher degree (masters, doctorate) is a ''graduate student''. Upon completion of courses and other requirements of an undergraduate program, the student would earn the corresponding degree. In some other educational systems, undergraduate education is postsecondary education up to and including the level of a master's degree; this is the case for some science courses in Britain and some medicine courses in Europe. By country Africa Nigeria In Nigeria, undergraduate degrees (excluding Medicine, Medical Laboratory Science, Nursing, Engineering, L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Language Of Mathematics
The language of mathematics or mathematical language is an extension of the natural language (for example English language, English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proof (mathematics), proofs, logical deductions, etc.) with concision, precision and unambiguity. Features The main features of the mathematical language are the following. * Use of common words with a derived meaning, generally more specific and more precise. For example, "or (logic), or" means "one, the other or both", while, in common language, "both" is sometimes included and sometimes not. Also, a "line (mathematics), line" is straight and has zero width. * Use of common words with a meaning that is completely different from their common meaning. For example, a mathematical ring (mathematics), ring is not related to any other meaning of "ring". Real numbers and imaginary numbers are two sorts of numbers, none being more real or more imaginary than the ot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Proof
A mathematical proof is a deductive reasoning, deductive Argument-deduction-proof distinctions, argument for a Proposition, mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning that establish logical certainty, to be distinguished from empirical evidence, empirical arguments or non-exhaustive inductive reasoning that establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in ''all'' possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly ..., college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 11 Dupont in the Dupont Circle, Washington, D.C., Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Books About Mathematics
A book is a structured presentation of recorded information, primarily verbal and graphical, through a medium. Originally physical, electronic books and audiobooks are now existent. Physical books are objects that contain printed material, mostly of writing and images. Modern books are typically composed of many pages bound together and protected by a cover, what is known as the ''codex'' format; older formats include the scroll and the tablet. As a conceptual object, a ''book'' often refers to a written work of substantial length by one or more authors, which may also be distributed digitally as an electronic book ( ebook). These kinds of works can be broadly classified into fiction (containing invented content, often narratives) and non-fiction (containing content intended as factual truth). But a physical book may not contain a written work: for example, it may contain ''only'' drawings, engravings, photographs, sheet music, puzzles, or removable content like pap ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2009 Non-fiction Books
9 (nine) is the natural number following and preceding . Evolution of the Hindu–Arabic digit Circa 300 BC, as part of the Brahmi numerals, various Indians wrote a digit 9 similar in shape to the modern closing question mark without the bottom dot. The Kshatrapa, Andhra and Gupta started curving the bottom vertical line coming up with a -look-alike. How the numbers got to their Gupta form is open to considerable debate. The Nagari continued the bottom stroke to make a circle and enclose the 3-look-alike, in much the same way that the sign @ encircles a lowercase ''a''. As time went on, the enclosing circle became bigger and its line continued beyond the circle downwards, as the 3-look-alike became smaller. Soon, all that was left of the 3-look-alike was a squiggle. The Arabs simply connected that squiggle to the downward stroke at the middle and subsequent European change was purely cosmetic. While the shape of the glyph for the digit 9 has an ascender in most modern typef ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
