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Problem-Solving and Selected Topics in Euclidean Geometry

Problem-Solving and Selected Topics in Euclidean Geometry
Author: Sotirios E. Louridas
Publisher: Springer Science & Business Media
Total Pages: 238
Release: 2014-07-08
Genre: Mathematics
ISBN: 1461472733

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"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.


McGraw-Hill reading

McGraw-Hill reading
Author: James Flood
Publisher:
Total Pages:
Release: 2001
Genre: Language arts (Elementary)
ISBN: 9780021847310

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Report of the Secretary

Report of the Secretary
Author: Michigan. State Board of Agriculture
Publisher:
Total Pages: 758
Release: 1917
Genre: Agriculture
ISBN:

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Annual Report

Annual Report
Author: Michigan State University. Agricultural Experiment Station
Publisher:
Total Pages: 760
Release: 1917
Genre: Agriculture
ISBN:

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Annual Report of the Secretary of the State Board of Agriculture of the State of Michigan and ... Annual Report of the Agricultural College Experiment Station from ...

Annual Report of the Secretary of the State Board of Agriculture of the State of Michigan and ... Annual Report of the Agricultural College Experiment Station from ...
Author: Michigan. State Board of Agriculture
Publisher:
Total Pages: 762
Release: 1917
Genre: Agriculture
ISBN:

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Includes the 9th-61st annual report of the Agricultural Experiment Station (called 9th-11th, Agricultural College Experiment Station; called 12th-59th annual report of the Experiment Station) and issued by Michigan State College (called earlier, State Agricultural College (Mich.); Michigan Agricultural College).


Advances in Time-Domain Computational Electromagnetic Methods

Advances in Time-Domain Computational Electromagnetic Methods
Author: Qiang Ren
Publisher: John Wiley & Sons
Total Pages: 724
Release: 2022-11-15
Genre: Science
ISBN: 1119808375

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Discover state-of-the-art time domain electromagnetic modeling and simulation algorithms Advances in Time-Domain Computational Electromagnetic Methods delivers a thorough exploration of recent developments in time domain computational methods for solving complex electromagnetic problems. The book discuses the main time domain computational electromagnetics techniques, including finite-difference time domain (FDTD), finite-element time domain (FETD), discontinuous Galerkin time domain (DGTD), time domain integral equation (TDIE), and other methods in electromagnetic, multiphysics modeling and simulation, and antenna designs. The book bridges the gap between academic research and real engineering applications by comprehensively surveying the full picture of current state-of-the-art time domain electromagnetic simulation techniques. Among other topics, it offers readers discussions of automatic load balancing schemes for DG DG-FETD/SETD methods and convolution quadrature time domain integral equation methods for electromagnetic scattering. Advances in Time-Domain Computational Electromagnetic Methods also includes: Introductions to cylindrical, spherical, and symplectic FDTD, as well as FDTD for metasurfaces with GSTC and FDTD for nonlinear metasurfaces Explorations of FETD for dispersive and nonlinear media and SETD-DDM for periodic/quasi-periodic arrays Discussions of TDIE, including explicit marching-on-in-time solvers for second-kind time domain integral equations, TD-SIE DDM, and convolution quadrature time domain integral equation methods for electromagnetic scattering Treatments of deep learning, including time domain electromagnetic forward and inverse modeling using a differentiable programming platform Ideal for undergraduate and graduate students studying the design and development of various kinds of communication systems, as well as professionals working in these fields, Advances in Time-Domain Computational Electromagnetic Methods is also an invaluable resource for those taking advanced graduate courses in computational electromagnetic methods and simulation techniques.