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This decision ultimately depends on your personal interests and goals. If you are more interested in algebraic structures and their applications, then abstract algebra may be a better choice. If you are more interested in the study of geometric properties and spaces, then topology may be a better fit.

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Yes, there are some concepts that are shared between abstract algebra and topology, such as group theory and set theory. However, these concepts are approached from different perspectives and have different applications in each course.

Both abstract algebra and topology can be challenging, as they require a solid understanding of mathematical concepts and the ability to think abstractly. However, some students may find one course more challenging than the other based on their individual strengths and interests.

It is not recommended to take abstract algebra and topology concurrently, as these courses build upon each other and require a strong foundation in the other. It is best to take one course before the other, or at least have a solid understanding of the prerequisite material for each course.

Blending bright colors with a playful sense of line and space, this dynamic graphic art print layers a modern look into your space. Printed in the USA, this piece by artist Jacques Pilon features bold, looping coils of green, pink, and orange, with black outlines and set against an orange background. It's printed on archival paper using giclee inks for an accurate, lasting reproduction of the original work. This piece arrives framed and matted with included wall mounting hardware, so it's ready to hang right out of the box.

Brighten up a room with a playful mix of colors and shapes. This graphic art print blends together bold colors and an array of geometric designs for a bright abstract design. It features a composition with different rectangles and circles stacked on top of one another in green, blue, yellow, purple, and ivory tones for a dynamic composition. It measures 17'' and 25'' wide, so it's sized to make a statement on your walls or become the focal point of a gallery wall. Arrives framed and matted, with included wall mounting hardware.

Sinuous lines and bold use of color give this graphic art print a bold modern look for your walls. Printed in the USA, this piece by artist Jacques Pilon features overlapping loops of blue and black against a dark blue background, creating a striking look. This piece is giclee-printed on archival paper, and arrives framed with a plexiglass cover that helps protect it from fading and warping. Included wall mounting hardware allows you to hang this print right out of the box.

This pair of painting prints captures the essence of water by embracing cool tones and a well-observed abstract design. Printed in the USA, this piece by artist Ivo Stoyanov features an abstract pattern of blues and whites to recreate the look of light moving across water. This piece is printed on archival paper and covered with plexiglass for an accurate reproduction that lasts. This pair of prints arrives framed and includes wall mounting hardware, so it's ready to hang right out of the box.

High contrast color and a cool palette give this abstract graphic art print a bold modern look for your space. Printed in the USA, this piece by artist Jacques Pilon features circles with streaks of blue in various shades inside against a black background. This piece is giclee-printed on archival paper, and arrives framed with a plexiglass cover that helps protect it from fading and warping. Included wall mounting hardware allows you to hang this print right out of the box.

Capture the essence of dynamic brushstrokes with this reprint of an abstract painting. This reproduction of a watercolor painting by artist Jacques Pilon features a white background with a series of thick, bold lines in blue ink. The lines each feature a gradient in their blue tones, creating the sense of a brushstroke moving across the paper. It's printed in the USA on high-quality art paper, and arrives framed and matted for a finished, ready-to-hang design. Wall mounting hardware included.

This graphic art print leans into its cool towns and abstract design to layer a modern look onto your walls. Printed in the USA, this piece by artist Jacques Pilon features two wide bands of blue ink with streaks inside that contrast against the white background. This piece is giclee-printed on archival paper, and arrives framed with a plexiglass cover that helps protect it from fading and warping. Included wall mounting hardware allows you to hang this print right out of the box.

Asymmetric composition and high contrast colors give this graphic art print a fresh, abstract look. This piece by artist Jacques Pilon features a khaki background with a series of thin-lined circles. Inside each circle, an irregular splash of ink in a gradient of red tones layers in some bold contrast. It's printed in the USA on high-quality art paper, and arrived framed and matted for a finished, ready-to-hang design. Wall mounting hardware included.

Bold brushstrokes an a neutral pattern anchor this abstract graphic art print with a dynamic, expressionist vibe. Printed in the USA, this piece features swirls of black against an off-white background, with energetic strokes that give the whole piece a sense of motion. It's giclee-printed on archival paper using fade resistant inks for an accurate, lasting reproduction of the original work. This piece is framed, matted, and includes wall mounting hardware, so it arrives ready to hang.

This abstract acrylic painting print leans into a playful use of color and a dynamic use of organic shapes for a modern look. Printed in the USA, this piece by artist Eva Watts features rounded shapes that appear to tumble down from the top of the canvas in pink, brown, blue, and orange tones. This piece is giclee-printed on paper using archival inks for an accurate reproduction. It arrives in a wood frame and is covered with shatterproof acrylic that helps protect the image from fading. A wall hanging wire is attached, and mounting hardware is included.

Abstraction indicates a departure from reality in depiction of imagery in art. This departure from accurate representation can be slight, partial, or complete. Abstraction exists along a continuum. Even art that aims for verisimilitude of the highest degree can be said to be abstract, at least theoretically, since perfect representation is impossible. Artwork which takes liberties, e.g. altering color or form in ways that are conspicuous, can be said to be partially abstract. Total abstraction bears no trace of any reference to anything recognizable. In geometric abstraction, for instance, one is unlikely to find references to naturalistic entities. Figurative art and total abstraction are almost mutually exclusive. But figurative and representational (or realistic) art often contain partial abstraction.

Both geometric abstraction and lyrical abstraction are often totally abstract. Among the very numerous art movements that embody partial abstraction would be for instance fauvism in which color is conspicuously and deliberately altered vis-a-vis reality, and cubism, which alters the forms of the real-life entities depicted.[3][4]

Additionally in the late 19th century in Eastern Europe mysticism and early modernist religious philosophy as expressed by theosophist Mme. Blavatsky had a profound impact on pioneer geometric artists like Hilma af Klint and Wassily Kandinsky. The mystical teaching of Georges Gurdjieff and P.D. Ouspensky also had an important influence on the early formations of the geometric abstract styles of Piet Mondrian and his colleagues in the early 20th century.[10] The spiritualism also inspired the abstract art of Kasimir Malevich and Frantiek Kupka.[11]

At the beginning of the 20th century Henri Matisse and several other young artists including the pre-cubist Georges Braque, Andr Derain, Raoul Dufy and Jean Metzinger revolutionized the Paris art world with "wild", multi-colored, expressive landscapes and figure paintings that the critics called Fauvism. The raw language of color as developed by the Fauves directly influenced another pioneer of abstraction, Wassily Kandinsky.

Cubism, based on Czanne's idea that all depiction of nature can be reduced to cube, sphere and cone became, along with Fauvism, the art movement that directly opened the door to abstraction in the early 20th century.

During the 1912 Salon de la Section d'Or, where Frantiek Kupka exhibited his abstract painting Amorpha, Fugue en deux couleurs (Fugue in Two Colors) (1912), the poet Guillaume Apollinaire named the work of several artists including Robert Delaunay, Orphism.[12] He defined it as, "the art of painting new structures out of elements that have not been borrowed from the visual sphere, but had been created entirely by the artist...it is a pure art."[13]

Since the turn of the century, cultural connections between artists of the major European cities had become extremely active as they strove to create an art form equal to the high aspirations of modernism. Ideas were able to cross-fertilize by means of artist's books, exhibitions and manifestos so that many sources were open to experimentation and discussion, and formed a basis for a diversity of modes of abstraction. The following extract from The World Backwards gives some impression of the inter-connectedness of culture at the time: "David Burliuk's knowledge of modern art movements must have been extremely up-to-date, for the second Knave of Diamonds exhibition, held in January 1912 (in Moscow) included not only paintings sent from Munich, but some members of the German Die Brcke group, while from Paris came work by Robert Delaunay, Henri Matisse and Fernand Lger, as well as Picasso. During the Spring David Burliuk gave two lectures on cubism and planned a polemical publication, which the Knave of Diamonds was to finance. He went abroad in May and came back determined to rival the almanac Der Blaue Reiter which had emerged from the printers while he was in Germany".[14] ff782bc1db