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However, divergent thinking views concepts less rigidly; it considers the gray areas and less certain perspectives of the solutions.

Convergent thinking is most effective in decision making tasks while divergent thinking is needed in figuring out probable options. Studies show that individuals who are open to new experiences and extroverted often employ divergent thinking. This implies that those who are more comfortable with what is familiar as well as those who are introverted usually practice convergent thinking.

Interestingly, research correlated divergent thinking with positive emotional states where as convergent thinking was associated with negative moods. You are more likely to generate various ideas when in a pleasant mood as you become less critical and appreciate differing viewpoints. In divergent thinking, the multiple answers are of equal value. On the contrary, convergent thinking dictates that there must be a certain answer with the highest value.

Divergent thinking favors intricate ideas while convergent thinking encourages strong and clear-cut concepts. Divergent thinkers take more risks with their adventuresome ideas as they often like to experiment and go against the flow. On the other hand, convergent thinkers tend to be on the safer side by mainly considering tried and tested options. As compared to their convergent counterparts, divergent thinkers tend to be more curious as they have a number of questions and contemplate on wide-ranging as well as in depth ideas.

Since divergent thinking is mostly associated with artistry, it mainly stimulates the right hemisphere of the brain. As for convergent thinking, it is generally related with logic which is generally processed in the left hemisphere.

Deductive reasoning is followed in convergent thinking as a logical answer is derived by eliminating the other less reliable data. Conversely, divergent thinking leans towards inductive reasoning as ideas stem out from a main proposition. Divergent thinking favors quantity over quality in the sense that its chief aim is to produce as many ideas as possible.

Contrarywise, convergent thinking supports quality over quantity as it purports to determine the finest idea. As divergent thinking welcomes all potentials, the process often endures for long periods of time. Antithetically, convergent thinking concludes earlier as it only considers what is perceived as highly relevant.

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Upload screenshot of ad required :. As initiation transforms them all, Tris must determine who her friends really are—and where, exactly, a romance with a sometimes fascinating, sometimes exasperating boy fits into the life she's chosen. But Tris also has a secret, one she's kept hidden from everyone because she's been warned it can mean death.

And as she discovers unrest and growing conflict that threaten to unravel her seemingly perfect society, she also learns that her secret might help her save those she loves.

Veronica Roth is the New York Times bestselling author of Divergent, the first in a trilogy of dystopian thrillers filled with electrifying decisions, heartbreaking betrayals, stunning consequences, and unexpected romance. It covers two main topics: asymptotic series and the theory of summability. The discussion of nowhere convergent asymptotic series includes the so-called MacLaurent summation formula, determining asymptotic expansions of various classes of functions, and the study of asymptotic solutions of linear ordinary differential equations.

On the second topic, the author discusses various approaches to the summability of divergent series and considers in detail applications to Fourier series. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given.

For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.

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