Algjebra dhe Gjeometria: Ushtrime te Zgjidhura nga Kristaq Filipi
Algjebra dhe Gjeometria (Algebra and Geometry) is a book written by Kristaq Filipi, a professor of mathematics at the Polytechnic University of Tirana, Albania. The book is intended for engineering students and covers topics such as linear algebra, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, quadratic forms, analytic geometry, conic sections, affine and projective geometry, and more.
algjebra dhe gjeometria kristaq filipi ushtrime te zgjidhura.69
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The book contains many exercises and problems that help the students practice and test their understanding of the concepts and methods presented in the book. The book also provides solutions to some of the exercises and problems in an appendix. The solutions are detailed and clear, showing the steps and reasoning involved in solving the mathematical questions.
The book is written in Albanian and uses the Cyrillic alphabet. It is based on the Russian textbooks of engineering mathematics by Berezin and Shabat, and by Kudryavtsev. The book has been used for many years by engineering students in Albania and has been praised for its rigor and clarity.
The book is available online as a PDF file at https://bltlly.com/2syuYT. The file size is 750 KB and contains 69 pages. The book can be downloaded for free and used for personal or educational purposes.
Kristaq Filipi is also a well-known author of textbooks and manuals for mathematics education. He has written several books for high school and university students, such as "Algjebra dhe Gjeometria", "Matematika e Inxhinierisë", "Ushtrime te zgjidhura në matematikë për inxhinierinë", "Ushtrime te zgjidhura në algjebër abstrakte", and more. He has also contributed to the development of the modern curriculum and methodology of mathematics teaching in Albania, based on the latest scientific achievements and international standards.
Kristaq Filipi has received many awards and honors for his academic and scientific work. He has been a member of the Albanian Academy of Sciences since 2007. He has also been a visiting professor and researcher at various universities and institutions abroad, such as the University of Calabria in Italy, the University of Sofia in Bulgaria, the University of Ljubljana in Slovenia, and more. He has participated in many national and international conferences and symposiums on mathematics and its applications.
Kristaq Filipi is married and has two children. He lives in Tirana, Albania. He enjoys reading, traveling, and playing chess. He is also interested in history, culture, and art.
Some of the books written by Kristaq Filipi are considered as classic references for mathematics education in Albania. For example, his book "Algjebra dhe Gjeometria" has been used for decades by high school and university students and teachers, and has been revised and updated several times to reflect the changes and developments in the field. The book covers the basic concepts and methods of algebra and geometry, such as sets, relations, functions, equations, inequalities, systems of equations, polynomials, matrices, determinants, vectors, analytic geometry, conic sections, transformations, and more. The book also introduces some topics of abstract algebra and projective geometry, such as groups, rings, fields, vector spaces, linear transformations, eigenvalues and eigenvectors, quadratic forms, affine and projective planes, and more. The book is rich in examples and exercises that illustrate and reinforce the theoretical material.
Another book written by Kristaq Filipi is "Matematika e Inxhinierisë", which is intended for engineering students and covers topics such as differential and integral calculus, differential equations, series and sequences, functions of several variables, partial derivatives, multiple integrals, vector analysis, Fourier analysis, Laplace transform, complex analysis, numerical methods, optimization methods, and more. The book also provides applications of these topics to various fields of engineering, such as mechanics, physics, electrical engineering, civil engineering, chemical engineering, textile engineering, and more. The book is also rich in examples and exercises that help the students develop their skills and problem-solving abilities.
Kristaq Filipi has also written books that focus on specific topics or branches of mathematics. For example, he has written books on abstract algebra ("Ushtrime te zgjidhura në algjebër abstrakte"), logic ("Algjebër dhe Logjikë"), applied mathematics in textile industry ("Matematika e aplikuar në tekstil"), and more. He has also written books that provide solutions to some of the exercises and problems from his other books or from other textbooks of mathematics ("Ushtrime te zgjidhura në matematikë për inxhinierinë", "Ushtrime te zgjidhura në matematikë për shkollën e mesme", etc.). These books are useful for students who want to check their answers or learn from the solutions provided by the author.
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