Download Viewpoints: Mathematical Perspective and Fractal Geometry in by Marc Frantz, Annalisa Crannell PDF

By Marc Frantz, Annalisa Crannell

An undergraduate textbook dedicated solely to relationships among arithmetic and paintings, Viewpoints is superb for math-for-liberal-arts classes and arithmetic classes for wonderful arts majors. The textbook features a large choice of classroom-tested actions and difficulties, a sequence of essays through modern artists written specially for the booklet, and a plethora of pedagogical and studying possibilities for teachers and scholars. Viewpoints specializes in mathematical components: standpoint regarding drawing man-made kinds and fractal geometry on the topic of drawing usual types. Investigating aspects of the 3-dimensional international for you to comprehend mathematical innovations in the back of the paintings, the textbook explores paintings issues together with comedian, anamorphic, and classical artwork, in addition to images, whereas offering such mathematical principles as percentage, ratio, self-similarity, exponents, and logarithms. elementary difficulties and lucrative options empower scholars to make exact, refined drawings. own essays and brief biographies by means of modern artists are interspersed among chapters and are observed through photographs in their paintings. those wonderful artists--who contain mathematicians and scientists--examine how arithmetic impacts their artwork. obtainable to scholars of all degrees, Viewpoints encourages experimentation and collaboration, and captures the essence of inventive and mathematical production and discovery. Classroom-tested actions and challenge fixing available difficulties that movement past usual artwork tuition curriculum a number of suggestions of various trouble and applicability acceptable for college kids of all arithmetic and paintings degrees unique and specific essays through modern artists approaching: teachers guide (available purely to academics)

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Download Modern Geometry with Applications (Universitext) by George A. Jennings PDF

By George A. Jennings

This creation to trendy geometry differs from different books within the box because of its emphasis on functions and its dialogue of certain relativity as an enormous instance of a non-Euclidean geometry. also, it covers the 2 vital components of non-Euclidean geometry, round geometry and projective geometry, in addition to emphasising ameliorations, and conics and planetary orbits. a lot emphasis is put on functions in the course of the publication, which inspire the subjects, and lots of extra functions are given within the routines. It makes an outstanding advent when you want to know how geometry is utilized in addition to its formal thought.

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Download Nonlinear Partial Differential Equations in Geometry and by Ronald Fintushel (auth.), Garth Baker, Alexandre Freire PDF

By Ronald Fintushel (auth.), Garth Baker, Alexandre Freire (eds.)

This quantity offers the complaints of a sequence of lectures hosted by means of the mathematics­ ematics division of The collage of Tennessee, Knoxville, March 22-24, 1995, below the name "Nonlinear Partial Differential Equations in Geometry and Physics" . whereas the relevance of partial differential equations to difficulties in differen­ tial geometry has been famous because the early days of the latter topic, the concept that differential equations of differential-geometric foundation will be worthwhile within the formula of actual theories is a way more fresh one. possibly the earliest emergence of platforms of nonlinear partial differential equations having deep geo­ metric and actual value have been the Einstein equations of common relativity (1915). numerous simple features of the preliminary worth challenge for the Einstein equa­ tions, resembling life, regularity and balance of strategies stay top study components this day. 80 years after Einstein's paintings. a fair more moderen improvement is the belief that constructions initially the context of versions in theoretical physics may well end up to have brought in vital geometric or topological functions. might be its emergence could be traced again to 1954, with the advent of a non-abelian model of Maxwell's equations as a version in elementary-particle physics, through the physicists C.N. Yang and R. generators. the wealthy geometric constitution ofthe Yang-Mills equations was once delivered to the eye of mathematicians via paintings of M.F. Atiyah, :"J. Hitchin, I.

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Download Cartesian Currents in the Calculus of Variations II: by Mariano Giaquinta PDF

By Mariano Giaquinta

This monograph (in volumes) bargains with non scalar variational difficulties coming up in geometry, as harmonic mappings among Riemannian manifolds and minimum graphs, and in physics, as good equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and obtainable to non experts. themes are handled so far as attainable in an hassle-free method, illustrating effects with uncomplicated examples; in precept, chapters or even sections are readable independently of the final context, in order that components could be simply used for graduate classes. Open questions are usually pointed out and the ultimate part of each one bankruptcy discusses references to the literature and occasionally supplementary effects. eventually, a close desk of Contents and an intensive Index are of aid to refer to this monograph

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Download Elementary Geometry from an Advanced Standpoint (3rd by Edwin Moise PDF

By Edwin Moise

Scholars can depend upon Moise's transparent and thorough presentation of easy geometry theorems. the writer assumes that scholars haven't any earlier wisdom of the topic and provides the fundamentals of geometry from the floor up. This finished procedure supplies teachers flexibility in educating. for instance, a complicated category may perhaps development swiftly via Chapters 1-7 and commit so much of its time to the cloth offered in Chapters eight, 10, 14, 19, and 20. equally, a much less complicated type may fit rigorously via Chapters 1-7, and forget a number of the more challenging chapters, comparable to 20 and 24.

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Download Gromov’s Compactness Theorem for Pseudo-holomorphic Curves by Christoph Hummel PDF

By Christoph Hummel

Mikhail Gromov brought pseudo-holomorphic curves into symplectic geometry in 1985. considering the fact that then, pseudo-holomorphic curves have taken on nice significance in lots of fields. the purpose of this booklet is to provide the unique facts of Gromov's compactness theorem for pseudo-holomorphic curves intimately. neighborhood houses of pseudo-holomorphic curves are investigated and proved from a geometrical point of view. houses of specific curiosity are isoperimetric inequalities, a monotonicity formulation, gradient bounds and the removing of singularities. a unique bankruptcy is dedicated to appropriate gains of hyperbolic surfaces, the place pairs of pants decomposition and thickthin decomposition are defined. The publication is basically self-contained and will even be obtainable to scholars with a simple wisdom of differentiable manifolds and protecting areas.

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Download The Pythagorean Theorem: A 4,000-Year History by Eli Maor PDF

By Eli Maor

By means of any degree, the Pythagorean theorem is the main recognized assertion in all of arithmetic, one remembered from highschool geometry category through even the main math-phobic scholars. good over 400 proofs are recognized to exist, together with ones by way of a twelve-year-old Einstein, a tender blind woman, Leonardo da Vinci, and a destiny president of the USA. Here--perhaps for the 1st time in English--is the total tale of this well-known theorem.Although attributed to Pythagoras, the theory was once recognized to the Babylonians greater than one thousand years prior to him. He can have been the 1st to end up it, yet his proof--if certainly he had one--is misplaced to us. Euclid immortalized it as Proposition forty seven in his parts, and it really is from there that it has handed all the way down to generations of scholars. the concept is critical to just about each department of technology, natural or utilized. It has even been proposed as a way to speak with aliens, if and after we observe them. And, accelerated to 4-dimensional space-time, it performs a pivotal function in Einstein's idea of relativity.In this e-book, Eli Maor brings to existence a number of the characters that performed a job within the improvement of the Pythagorean theorem, delivering a desirable backdrop to probably our oldest enduring mathematical legacy.

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