Tag: Algebra

Precalculus Mathematics in a Nutshell Geometry, Algebra, Trigonometry


Free Download Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry By George F. Simmons
2003 | 128 Pages | ISBN: 1592441300 | PDF | 16 MB
"Geometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries . . . Algebra’s importance lies in the student’s future . . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics . . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun" In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

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Linear Algebra Through Geometry


Free Download Linear Algebra Through Geometry by Thomas Banchoff , John Wermer
English | PDF | 1983 | 268 Pages | ISBN : 1468401637 | 13.5 MB
In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas are grounded in the familiar geometry of two and three dimensions. Many important notions of linear algebra already occur in these dimensions in a non-trivial way, and a student with a confident grasp of these ideas will encounter little difficulty in extending them to higher dimensions and to more abstract algebraic systems. Moreover, we feel that this geometric approach provides a solid basis for the linear algebra needed in engineering, physics, biology, and chemistry, as well as in economics and statistics. The great advantage of beginning with a thorough study of the linear algebra of the plane is that students are introduced quickly to the most important new concepts while they are still on the familiar ground of two-dimensional geometry. In short order, the student sees and uses the notions of dot product, linear transformations, determinants, eigenvalues, and quadratic forms. This is done in Chapters 2.0-2.7. Then the very same outline is used in Chapters 3.0-3.7 to present the linear algebra of three-dimensional space, so that the former ideas are reinforced while new concepts are being introduced.

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The Dark Art of Linear Algebra An Intuitive Geometric Approach


Free Download Seth Braver, "The Dark Art of Linear Algebra: An Intuitive Geometric Approach"
English |ASIN : B0C2S9D5JP | 2023 | 185 pages | PDF | 5 MB
Most introductory linear algebra textbooks follow one of two paths into the subject: abstract and arcane (beginning with the vector space axioms), or computational and colorless (beginning with systems of linear equations).

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Abstract Algebra and Famous Impossibilities Squaring the Circle, Doubling the Cube, Trisecting an Angle


Free Download Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations (Undergraduate Texts in Mathematics) by Sidney A. Morris, Arthur Jones, Kenneth R. Pearson
English | November 28, 2022 | ISBN: 3031056973 | 240 pages | MOBI | 26 Mb
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction.

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A Journey from Process Algebra via Timed Automata to Model Learning


Free Download A Journey from Process Algebra via Timed Automata to Model Learning: Essays Dedicated to Frits Vaandrager on the Occasion of His 60th Birthday (Lecture Notes in Computer Science) by Nils Jansen, Mariƫlle Stoelinga, Petra van den Bos
English | September 7, 2022 | ISBN: 3031156285 | 596 pages | MOBI | 73 Mb
This Festschrift, dedicated to Frits W. Vaandrager on the occasion of his 60th birthday, contains papers written by many of his closest collaborators. Frits has been a Professor of Informatics for Technical Applications at Radboud University Nijmegen since 1995, where his research focuses on formal methods, concurrency theory, verification, model checking, and automata learning.

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Categorical, Homological and Combinatorial Methods in Algebra


Free Download Ashish K. Srivastava, "Categorical, Homological and Combinatorial Methods in Algebra "
English | ISBN: 1470443686 | 2020 | 357 pages | PDF | 4 MB
This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain’s 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16-18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

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Algebra and Coding Theory


Free Download Algebra and Coding Theory: Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, July 5-7, 2021, Universite d’Artois, Lens, France, Virtual Conference, Quadratic Forms, Rings and Codes, July 8, 2021, Universite d’Artois, Lens, France
by A. Leroy, S. K. Jain
English | 2023 | ISBN: 147046859X | 270 Pages | True PDF | 5.95 MB

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