Download PDF by Richard S. Millman,Peter J. Shiue,Eric Brendan Kahn: Problems and Proofs in Numbers and Algebra

By Richard S. Millman,Peter J. Shiue,Eric Brendan Kahn

concentrating on an technique of fixing rigorous difficulties and studying tips to prove, this quantity is targeted on two particular content material topics, elementary number conception and algebraic polynomials. the convenience to readers who're relocating from calculus to extra summary arithmetic is to procure the facility to appreciate proofs via use of the ebook and the multitude of proofs and difficulties that may be lined throughout. This booklet is intended to be a transitional precursor to extra complicated themes in research, advanced number theory, and abstract algebra. to accomplish the aim of conceptual figuring out, a good number of difficulties and examples could be interspersed via each chapter. The difficulties are consistently awarded in a multi-step and sometimes very tough, requiring the reader to consider proofs, counter-examples, and conjectures. past the undergraduate arithmetic pupil viewers, the textual content may also supply a rigorous remedy of arithmetic content material (numbers and algebra) for high-achieving highschool scholars. in addition, potential lecturers will upload to the breadth of the viewers as math schooling majors, will comprehend extra completely equipment of facts, and may upload to the intensity in their mathematical wisdom. some time past, PNA has been taught in a "problem fixing in center university” path (twice), to a particularly complicated highschool scholars direction (three semesters), and 3 instances as a secondary source for a direction for destiny highschool academics. PNA is acceptable for secondary math lecturers who search for fabric to motivate and inspire extra excessive reaching students.

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Problems and Proofs in Numbers and Algebra by Richard S. Millman,Peter J. Shiue,Eric Brendan Kahn

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