Amy Campbell Library > Mathematics

Euclidean and Non-Euclidean Geometries: Development and History

By Marvin J. Greenberg

This is the definitive presentation of the heritage, improvement and philosophical value of non-Euclidean geometry in addition to of the rigorous foundations for it and for hassle-free Euclidean geometry, primarily based on Hilbert. acceptable for liberal arts scholars, potential highschool academics, math. majors, or even vivid highschool scholars. the 1st 8 chapters are ordinarily obtainable to any proficient reader; the final chapters and the 2 appendices include extra complex fabric, equivalent to the class of motions, hyperbolic trigonometry, hyperbolic structures, class of Hilbert planes and an advent to Riemannian geometry.

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A Mathematician Plays The Stock Market

In A Mathematician performs the inventory Market best-selling writer John Allen Paulos demonstrates what the instruments of arithmetic can let us know concerning the vagaries of the inventory industry. utilizing his trademark tales, vignettes, paradoxes, and puzzles (and even a movie treatment), Paulos addresses each considering reader's interest in regards to the industry: Is it effective? Is it rational? Is there whatever to technical research, primary research, and different supposedly time-tested tools of determining shares? How can one quantify threat? What are the commonest scams? What gentle do fractals, community concept, and customary mental foibles shed on investor habit? Are there any techniques to making an investment that really outperform the most important indexes? Can a deeper wisdom of arithmetic support beat the odds?All of those questions are explored with the enticing erudition that made Paulos's A Mathematician Reads the Newspaper and Innumeracy favorites with either armchair mathematicians and readers who are looking to imagine like them. Paulos additionally stocks the cautionary story of his personal lengthy and disastrous love affair with WorldCom. within the culture of Burton Malkiel's A Random stroll Down Wall Street and Jeremy Siegel's Stocks for the lengthy Run, this wry and illuminating ebook is for a person, investor or now not, who follows the markets-or is aware a person who does.

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Linear Algebra (2nd Edition)

By Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

</B> This top-selling, theorem-proof publication provides a cautious remedy of the primary themes of linear algebra, and illustrates the facility of the topic via various functions. It emphasizes the symbiotic courting among linear adjustments and matrices, yet states theorems within the extra common infinite-dimensional case the place acceptable. <B> bankruptcy themes disguise vector areas, linear variations and matrices, trouble-free matrix operations and platforms of linear equations, determinants, diagonalization, internal product areas, and canonical varieties. <B></B> For statisticians and engineers.

(PDF, scanned)

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Hume's Problem: Induction and the Justification of Belief

By Colin Howson

Within the mid-eighteenth century David Hume argued that profitable prediction tells us not anything in regards to the fact of the predicting concept. yet actual idea commonly predicts the values of observable magnitudes inside of very small levels of mistakes. the opportunity of this type of predictive luck with out a real concept means that Hume's argument is defective. even if, Colin Howson argues that there's no flaw and examines the consequences of this hectic end; he additionally bargains an answer to at least one of the primary difficulties of Western philosophy, the matter of induction.

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Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

A gradual creation to the hugely refined global of discrete arithmetic, Mathematical difficulties and Proofs offers issues starting from easy definitions and theorems to complicated issues -- corresponding to cardinal numbers, producing features, houses of Fibonacci numbers, and Euclidean set of rules. this glorious primer illustrates greater than one hundred fifty suggestions and proofs, completely defined in transparent language. The beneficiant ancient references and anecdotes interspersed during the textual content create fascinating intermissions that will gasoline readers' eagerness to inquire extra concerning the issues and a few of our best mathematicians. the writer courses readers via the method of fixing enigmatic proofs and difficulties, and assists them in making the transition from challenge fixing to theorem proving.
instantly a needful textual content and an stress-free learn, Mathematical Problems and Proofs is a wonderful entrée to discrete arithmetic for complicated scholars drawn to arithmetic, engineering, and technological know-how.

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Options, Futures, and Other Derivatives (9th Edition)

For graduate classes in enterprise, economics, monetary arithmetic, and fiscal engineering; for complicated undergraduate classes with scholars who have good quantitative talents; and for practitioners excited about derivatives markets

 

Practitioners seek advice from it as “the bible;” within the college and faculty industry it’s the easiest vendor; and now it’s been revised and up to date to hide the industry’s most well-liked themes and the main updated fabric on new laws. Options, Futures, and different Derivatives by John C. Hull bridges the space among idea and perform via supplying a present examine the undefined, a cautious stability of mathematical sophistication, and a superb ancillary package deal that makes it obtainable to a large viewers. via its insurance of vital subject matters reminiscent of the securitization and the credits concern, the in a single day listed switch, the Black-Scholes-Merton formulation, and how commodity costs are modeled and commodity derivatives valued, it is helping scholars and practitioners alike stay alongside of the quick speed of swap in today’s derivatives markets.

 

This application presents a greater instructing and studying experience—for you and your scholars. Here’s how:

  • NEW! to be had with a brand new model of DerivaGem software—including Excel purposes, the choices Calculator and the purposes Builder
  • Bridges the distance among concept and practice—a best-selling university textual content, and regarded “the bible” by way of practitioners, it presents the newest details within the industry
  • Provides the fitting stability of mathematical sophistication—careful realization to arithmetic and notation
  • Offers remarkable ancillaries toround out the prime quality of the educating and studying package

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Euler's Gem: The Polyhedron Formula and the Birth of Topology

By David S. Richeson

Leonhard Euler's polyhedron formulation describes the constitution of many objects--from football balls and gem stones to Buckminster Fuller's structures and immense all-carbon molecules. but Euler's formulation is so easy it may be defined to a toddler. Euler's Gem tells the illuminating tale of this quintessential mathematical idea.

From historic Greek geometry to modern state of the art learn, Euler's Gem celebrates the invention of Euler's cherished polyhedron formulation and its far-reaching influence on topology, the examine of shapes. In 1750, Euler saw that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks ignored the formulation completely; how Descartes virtually came across it yet fell brief; how nineteenth-century mathematicians widened the formula's scope in ways in which Euler by no means anticipated by way of adapting it to be used with doughnut shapes, gentle surfaces, and better dimensional shapes; and the way twentieth-century mathematicians found that each form has its personal Euler's formulation. utilizing remarkable examples and diverse illustrations, Richeson offers the formula's many based and unforeseen functions, akin to displaying why there's regularly a few windless spot in the world, tips to degree the acreage of a tree farm via counting bushes, and the way many crayons are had to colour any map.

full of a who is who of tremendous mathematicians who puzzled, subtle, and contributed to a striking theorem's improvement, Euler's Gem will fascinate each arithmetic enthusiast.

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The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Dover Books on Mathematics)

By Mary Tiles

A century in the past, Georg Cantor established the potential of a chain of transfinite limitless numbers. His tools, unorthodox for the time, enabled him to derive theorems that proven a mathematical truth for a hierarchy of infinities. Cantor's innovation was once adverse, and overlooked, by way of the institution; years later, the price of his paintings used to be well-known and favored as a landmark in mathematical notion, forming the start of set thought and the basis for many of latest mathematics.
As Cantor's someday collaborator, David Hilbert, remarked, "No one will force us from the paradise that Cantor has created." This quantity deals a guided journey of contemporary arithmetic' backyard of Eden, starting with views at the finite universe and periods and Aristotelian common sense. writer Mary Tiles additional examines diversifications, combos, and endless cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set thought; logical gadgets and logical varieties; and independence effects and the universe of units. She concludes with perspectives of the constructs and truth of mathematical structure.
Philosophers with just a simple grounding in arithmetic, in addition to mathematicians who've taken in basic terms an introductory path in philosophy, will locate an abundance of exciting themes during this textual content, that's acceptable for undergraduate-and graduate-level courses.

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Technical Calculus with Analytic Geometry (Dover Books on Mathematics)

By Judith L. Gersting

This well-thought-out textual content, packed with many particular positive aspects, is designed for a two-semester direction in calculus for know-how scholars with a historical past in university algebra and trigonometry. the writer has taken certain care to make the publication beautiful to scholars by way of supplying motivating examples, facilitating an intuitive knowing of the underlying options concerned, and by way of offering a lot chance to achieve skillability in concepts and skills.
Initial chapters hide capabilities and graphs, immediately traces and conic sections, new coordinate structures, the by-product, utilizing the by-product, integration and utilizing the necessary. The final 4 chapters specialise in derivatives of transcendental capabilities, styles for integrations, sequence growth of capabilities, and differential equations.
Throughout, the writing variety is obvious, readable and casual. Examples are ample and feature entire labored strategies. perform difficulties seem within the physique of the textual content in every one part; those are quite effortless and are meant to be labored through the coed once they're encountered. every one new kind of instance within the textual content is by way of a tradition challenge that permits the scholar to realize speedy reinforcement in using the problem-solving procedure illustrated by means of the instance. solutions to all perform difficulties are given behind the e-book, many with worked-out solutions.
Other studying aids comprise the department of complicated problem-solving methods right into a sequence of step by step initiatives, various routines on the finish of every part and a standing payment on the finish of every bankruptcy that is helping scholars evaluate what they've got realized. extra overview workouts and a word list, with definitions and web page references, around out the book.

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The Stanford Mathematics Problem Book: With Hints and Solutions (Dover Books on Mathematics)

By George Pólya, Jeremy Kilpatrick

Ased on Stanford University's famous aggressive examination, this wonderful arithmetic workbook deals scholars at either highschool and school degrees an entire set of difficulties, tricks, and recommendations. 1974 variation.

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