• Geometry
  • Algebraic Geometry: A Concise Dictionary by Elena Rubei

    By Elena Rubei

    Algebraic geometry has a classy, tough language. This booklet includes a definition, numerous references and the statements of the most theorems (without proofs) for each of the commonest phrases during this topic. a few phrases of similar topics are incorporated. It is helping newcomers that recognize a few, yet no longer all, simple evidence of algebraic geometry to stick with seminars and to learn papers. The dictionary shape makes it effortless and fast to consult.


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  • Geometry
  • Geometric Problems on Maxima and Minima by Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov

    By Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov

    Questions of maxima and minima have nice useful value, with functions to physics, engineering, and economics; they've got additionally given upward thrust to theoretical advances, significantly in calculus and optimization. certainly, whereas such a lot texts view the learn of extrema in the context of calculus, this rigorously built challenge booklet takes a uniquely intuitive method of the topic: it offers hundreds and hundreds of extreme-value difficulties, examples, and suggestions essentially via Euclidean geometry.

    Key positive aspects and topics:

    * complete collection of difficulties, together with Greek geometry and optics, Newtonian mechanics, isoperimetric difficulties, and lately solved difficulties similar to Malfatti’s problem

    * Unified method of the topic, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning

    * Presentation and alertness of classical inequalities, together with Cauchy--Schwarz and Minkowski’s Inequality; uncomplicated ends up in calculus, similar to the Intermediate worth Theorem; and emphasis on basic yet worthy geometric techniques, together with changes, convexity, and symmetry

    * transparent ideas to the issues, frequently observed by means of figures

    * 1000s of routines of various hassle, from undemanding to Olympiad-caliber

    Written via a staff of tested mathematicians and professors, this paintings attracts at the authors’ adventure within the lecture room and as Olympiad coaches. by means of exposing readers to a wealth of inventive problem-solving techniques, the textual content communicates not just geometry but in addition algebra, calculus, and topology. excellent to be used on the junior and senior undergraduate point, in addition to in enrichment courses and Olympiad education for complex highschool scholars, this book’s breadth and intensity will attract a large viewers, from secondary university lecturers and students to graduate scholars, expert mathematicians, and puzzle enthusiasts.


    "As an avid challenge solver with a robust curiosity in inequalities…I am thrilled to complement my repertoire with the options illustrated during this volume…. The booklet includes hundreds of thousands of difficulties, classical and glossy, all with tricks or whole solutions…. through the years, Titu Andreescu and numerous collaborators have used their reports as lecturers and as Olympiad coaches to supply a chain of fine problem-solving manuals…. the current quantity keeps that culture and will attract a large viewers starting from complicated highschool scholars to expert mathematicians." –MAA

    "The complete exposition of the booklet is saved at a sufficiently common point, in order that it may be understood via high-school scholars. except attempting to be accomplished when it comes to forms of difficulties and strategies for his or her suggestions, the authors have attempted to supply numerous diverse degrees of hassle making the e-book attainable to exploit by means of individuals with various pursuits in arithmetic, assorted skills, and of alternative age groups." —V. Oproiu, Analele Stiintifice

    "This first-class ebook, Geometric difficulties on maxima and minima, offers not just with those recognized difficulties, yet good over 100 different such difficulties, a lot of which have been thoroughly novel and new to me. ... This booklet will surely significantly entice high school scholars, arithmetic academics, expert mathematicians, and puzzle fanatics. i might regard it as totally crucial examining for college kids getting ready for arithmetic competitions round the world." (Michael de Villiers, The Mathematical Gazette, Vol. ninety two (525), 2008)

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  • Geometry
  • Polyhedra by Peter R. Cromwell

    By Peter R. Cromwell

    Polyhedra have cropped up in lots of varied guises all through recorded historical past. lately, polyhedra and their symmetries were solid in a brand new gentle by means of combinatorics and staff conception. This distinctive textual content comprehensively records the various and sundry ways in which polyhedra have come to the fore during the improvement of arithmetic. the writer moves a stability among masking the ancient improvement of the speculation surrounding polyhedra and rigorous therapy of the math concerned. Attractively illustrated--including sixteen colour plates--Polyhedra elucidates rules that experience confirmed tough to know. Mathematicians, in addition to historians of arithmetic, will locate this e-book attention-grabbing.

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  • Geometry
  • Geometry Essentials For Dummies by Mark Ryan

    By Mark Ryan

    Just the severe strategies you want to ranking excessive in geometry

    This functional, pleasant consultant specializes in serious suggestions taught in a customary geometry path, from the homes of triangles, parallelograms, circles, and cylinders, to the talents and methods you must write geometry proofs. Geometry necessities For Dummies is ideal for cramming or doing homework, or as a reference for fogeys aiding young ones research for exams.

    Get right down to the fundamentals -- get a deal with at the fundamentals of geometry, from traces, segments, and angles, to vertices, altitudes, and diagonals

    Conquer proofs with self belief -- keep on with easy-to-grasp directions for realizing the elements of a proper geometry proof

    Take triangles in strides -- the right way to take up a triangle's facets, learn its angles, paintings via an SAS evidence, and follow the Pythagorean Theorem

    Polish up on polygons -- get the lowdown on quadrilaterals and different polygons: their angles, components, homes, perimeters, and lots more and plenty more

    Open the booklet and find:

    Plain-English factors of geometry terms

    Tips for tackling geometry proofs

    The seven participants of the quadrilateral family

    Straight speak on circles

    Essential triangle formulas

    The lowdown on 3-D: spheres, cylinders, prisms, and pyramids

    Ten issues to take advantage of as purposes in geometry proofs

    Learn to:

    Core options concerning the geometry of shapes and geometry proofs

    Critical theorems, postulates, and definitions

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  • Geometry
  • Lozi Mappings: Theory and Applications by Zeraoulia Elhadj

    By Zeraoulia Elhadj

    This ebook is a accomplished number of recognized effects concerning the Lozi map, a piecewise-affine model of the Henon map. Henon map is likely one of the such a lot studied examples in dynamical platforms and it draws loads of recognition from researchers, but it is tough to research analytically. less complicated constitution of the Lozi map makes it better for such research. The booklet isn't just a very good advent to the Lozi map and its generalizations, it additionally summarizes of significant suggestions in dynamical platforms conception reminiscent of hyperbolicity, SRB measures, attractor kinds, and extra.

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  • Geometry
  • Gems of Geometry by John Barnes

    By John Barnes

    In keeping with a chain of lectures for grownup scholars, this energetic and unique booklet proves that, faraway from being a dusty, boring topic, geometry is in truth jam-packed with attractiveness and fascination. The author's infectious enthusiasm is positioned to exploit in explaining a few of the key suggestions within the box, beginning with the Golden quantity and taking the reader on a geometric trip through Shapes and Solids, throughout the Fourth measurement, winding up with Einstein's Theories of Relativity.

    Equally appropriate as a present for a young person or as a nostalgic trip again into the area of arithmetic for older readers, John Barnes' e-book is the best antidote for somebody whose maths classes in school are a resource of painful stories. the place as soon as geometry was once a resource of misunderstanding and frustration, Barnes brings enlightenment and leisure.

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  • Geometry
  • The Scholar and the State: In Search of Van der Waerden by Alexander Soifer

    By Alexander Soifer

    Bartel Leendert van der Waerden made significant contributions to algebraic geometry, summary algebra, quantum mechanics, and different fields. He liberally released at the heritage of arithmetic. His 2-volume paintings sleek Algebra is among the such a lot influential and renowned mathematical books ever written. it's consequently dazzling that no monograph has been devoted to his lifestyles and paintings. Van der Waerden’s list is advanced. In trying to comprehend his existence, the writer assembled millions of files from a variety of records in Germany, the Netherlands, Switzerland and the USA which published interesting and sometimes fabulous new information regarding van der Waerden. Soifer strains Van der Waerden’s early years in a relations of serious Dutch public servants, his existence as professor in Leipzig throughout the complete Nazi interval, and his own friendship with one of many nice physicists Werner Heisenberg. We come across heroes and villains and a way more quite a few staff in among those extremes. one among them is the topic of this book.

    Soifer’s trip via an extended checklist of documents, mixed with a thorough correspondence, had exposed various information of Van der Waerden’s German intermezzo that raised critical questions and reproaches.

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