Geometry from Euclid to Knots

By Saul Stahl

Tracing the formal improvement of Euclidean geometry, this article heavily follows Euclid's vintage, Elements. as well as delivering a ancient viewpoint on airplane geometry, it covers comparable themes, together with non-neutral Euclidean geometry, circles and standard polygons, projective geometry, symmetries, inversions, knots and hyperlinks, and casual topology. comprises 1,000 perform difficulties. ideas to be had. 2003 version.

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A Course in Metric Geometry

By Dmitri Burago

"Metric geometry" is an method of geometry in keeping with the proposal of size on a topological area. This procedure skilled a really speedy improvement within the previous few a long time and penetrated into many different mathematical disciplines, equivalent to team thought, dynamical platforms, and partial differential equations. the target of this graduate textbook is twofold: to offer an in depth exposition of simple notions and methods utilized in the idea of size areas, and, extra in general, to provide an effortless advent right into a extensive number of geometrical issues regarding the proposal of distance, together with Riemannian and Carnot-Caratheodory metrics, the hyperbolic airplane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic areas, convergence of metric areas, and Alexandrov areas (non-positively and non-negatively curved spaces). The authors are inclined to paintings with "easy-to-touch" mathematical gadgets utilizing "easy-to-visualize" tools. The authors set a tough target of creating the middle elements of the booklet available to first-year graduate scholars. so much new options and strategies are brought and illustrated utilizing easiest situations and keeping off technicalities. The ebook comprises many routines, which shape an essential component of exposition.

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Mathematics for the International Students: IB Dipolma HL Core

By Paul Urban, David Martin

Book Details:

ISBN: 1876543116
EAN: 9781876543112
ASIN: 1876543116
Publisher: Haese & Harris Publications
Publication Date: 2008-08-15
Number of Pages: 936
Website: Amazon, LibraryThing, Google Books, Goodreads


Mathematics for the foreign scholar: arithmetic HL has been written to mirror the syllabus for the two-year IB degree arithmetic HL path. it isn't our goal to outline then path. lecturers are inspired to take advantage of different assets. now we have constructed the publication independently of the foreign Baccalaureate association (IBO) in session with many skilled academics of IB arithmetic. The textual content isn't recommended by way of the IBO.

This moment variation builds at the strengths of the 1st variation. many glorious feedback have been bought from lecturers worldwide and those are mirrored within the alterations. from time to time sections were consolidated to permit for higher potency. alterations have additionally been made in keeping with the creation of a calculator-free exam paper. lots of questions, together with a few to problem even the easiest scholars, were further. specifically, the ultimate bankruptcy comprises over two hundred miscellaneous questions, a few of which require using a snap shots calculator. those questions were incorporated to supply more challenging demanding situations for college kids and to offer them adventure at operating with difficulties which could or would possibly not require using a photos calculator

GoodReads writer Information:

Author Name: Paul Urban

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Plato's Ghost: The Modernist Transformation of Mathematics

By Jeremy Gray

Plato's Ghost is the 1st publication to envision the improvement of arithmetic from 1880 to 1920 as a modernist transformation just like these in artwork, literature, and track. Jeremy grey strains the expansion of mathematical modernism from its roots in challenge fixing and concept to its interactions with physics, philosophy, theology, psychology, and concepts approximately actual and synthetic languages. He exhibits how arithmetic used to be popularized, and explains how mathematical modernism not just gave expression to the paintings of mathematicians and the pro picture they sought to create for themselves, yet how modernism additionally brought deeper and eventually unanswerable questions.

Plato's Ghost inspires Yeats's lament that any declare to worldly perfection necessarily is confirmed flawed through the philosopher's ghost; grey demonstrates how modernist mathematicians believed that they had complex additional than someone prior to them, merely to make extra profound blunders. He tells for the 1st time the tale of those bold and amazing mathematicians, together with Richard Dedekind, Henri Lebesgue, Henri Poincaré, and so on. He describes the energetic debates surrounding novel gadgets, definitions, and proofs in arithmetic bobbing up from using naïve set conception and the revived axiomatic method--debates that spilled over into modern arguments in philosophy and the sciences and drove an upsurge of well known writing on arithmetic. And he seems to be at arithmetic after global conflict I, together with the foundational main issue and mathematical Platonism.

Plato's Ghost is key examining for mathematicians and historians, and may entice an individual drawn to the advance of recent mathematics.

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Time-Varying Vector Fields and Their Flows (SpringerBriefs in Mathematics)

By Saber Jafarpour

This brief ebook offers a accomplished and unified remedy of time-varying vector fields below quite a few regularity hypotheses, specifically finitely differentiable, Lipschitz, soft, holomorphic, and actual analytic. The presentation of this fabric within the genuine analytic atmosphere is new, as is the style within which a few of the hypotheses are unified utilizing useful research. certainly, a massive contribution of the e-book is the coherent improvement of in the community convex topologies for the distance of actual analytic sections of a vector package, and the advance of this in a way that relates simply to classically recognized topologies in, for instance, the finitely differentiable and soft instances. The instruments utilized in this improvement can be of use to researchers within the region of geometric useful research.

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Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization (Dover Books on Mathematics)

By Rufus Isaacs

One of the definitive works in video game conception, this attention-grabbing quantity bargains an unique examine equipment of acquiring options for clash occasions. Combining the foundations of video game concept, the calculus of adaptations, and keep an eye on idea, the writer considers and solves an awesome array of difficulties: army, pursuit and evasion, video games of firing and maneuver, athletic contests, and plenty of different difficulties of conflict.
Beginning with normal definitions and the elemental arithmetic at the back of differential online game conception, the writer proceeds to examinations of more and more particular strategies and functions: dispersal, common, and equivocal surfaces; the function of video game concept in battle; improvement of an efficient concept regardless of incomplete details; and extra. All difficulties and recommendations obtain essentially worded, illuminating discussions, together with targeted examples and various formal calculations.
The made from fifteen years of analysis via a hugely skilled mathematician and engineer, this quantity will acquaint scholars of video game conception with useful strategies to a rare diversity of exciting problems.

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Schaum's Outline of Elementary Algebra, 3ed (Schaum's Outlines)

By Barnett Rich

Tough try Questions? neglected Lectures? now not adequate Time?

Fortunately for you, there is Schaum's Outlines. greater than forty million scholars have depended on Schaum's to assist them reach the school room and on tests. Schaum's is the major to quicker studying and better grades in each topic. every one define offers the entire crucial path details in an easy-to-follow, topic-by-topic layout. you furthermore mght get 1000s of examples, solved difficulties, and perform workouts to check your abilities.

This Schaum's define provides you

  • Practice issues of complete reasons that make stronger wisdom
  • Coverage of the main up to date advancements on your path box
  • In-depth evaluate of practices and purposes

Fully appropriate together with your school room textual content, Schaum's highlights all of the very important proof you must recognize. Use Schaum's to shorten your learn time-and get your top try out scores!

Schaum's Outlines-Problem Solved.

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The Riddle of Scheherazade: And Other Amazing Puzzles, Ancient and Modern

By Raymond M. Smullyan

Once more in difficulty with the king and at risk of wasting her head, shrewdpermanent Scheherazade teases the king with a range of 225 devious mathematical and good judgment puzzles, together with Go+a5delian mind twisters, paradoxes, metapuzzles, good judgment tips, quantity video games, and extra. 10,000 first printing."

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Lectures on Curves, Surfaces and Projective Varieties (Ems Textbooks in Mathematics)

This ebook deals a wide-ranging advent to algebraic geometry alongside classical strains. It involves lectures on subject matters in classical algebraic geometry, together with the elemental houses of projective algebraic types, linear platforms of hypersurfaces, algebraic curves (with unique emphasis on rational curves), linear sequence on algebraic curves, Cremona ameliorations, rational surfaces, and impressive examples of specified types just like the Segre, Grassmann, and Veronese types. an essential component and unique function of the presentation is the inclusion of many workouts, challenging to discover within the literature and just about all with entire strategies. The textual content is geared toward scholars within the final years of an undergraduate application in arithmetic. It includes a few quite complicated subject matters appropriate for specialised classes on the complex undergraduate or starting graduate point, in addition to fascinating subject matters for a senior thesis. the must haves were intentionally restricted to easy components of projective geometry and summary algebra. hence, for instance, a few wisdom of the geometry of subspaces and homes of fields is thought. The e-book should be welcomed through academics and scholars of algebraic geometry who're looking a transparent and panoramic course best from the elemental proof approximately linear subspaces, conics and quadrics to a scientific dialogue of classical algebraic kinds and the instruments had to examine them. The textual content offers an excellent starting place for imminent extra complicated and summary literature.

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