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Geometric Vectors (Geometriai vektorok): A Visual Approach to Vector Analysis - Gabriel Weinreich

Typotex Kft.
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Description

Geometric Vectors (Geometriai vektorok): A Visual Approach to Vector Analysis - Gabriel Weinreich

UPC: ISBN: 9789634930082 / 978-9634930082

MPN: 9789634930082

Brand Name: Typotex Kft.

Product Type: Book (Kartonált/Paperback)

Language: Hungarian (Magyar)

Genre: Mathematics, Physics, Educational Textbook

Overview

Geometric Vectors (Geometriai vektorok) by Gabriel Weinreich offers a revolutionary approach to understanding vector algebra and vector analysis through pure geometric visualization. This Hungarian-language mathematical textbook eliminates algebraic complexity and instead relies on intuitive diagrams and geometric language to explain sophisticated concepts such as contravariant and covariant vectors, gradient, divergence, and rotation. Written by a University of Chicago professor emeritus, this 106-page guide provides elegant, algebra-free proofs of Gauss's theorem and Stokes's theorem, making advanced mathematical physics accessible to students and professionals alike. The book bridges the gap between abstract mathematical theory and practical application, offering engineers and physicists a clear geometric framework for understanding vector operations essential to their daily work.

Geometriai vektorok: Vizuális megközelítés a vektoranalízishez - Gabriel Weinreich

Gabriel Weinreich Geometriai vektorok című műve forradalmi megközelítést kínál a vektoralgebra és vektoranalízis megértéséhez tisztán geometriai vizualizáción keresztül. Ez a magyar nyelvű matematikai tankönyv kiküszöböli az algebrai bonyolultságot, és ehelyett intuitív ábrákra és geometriai nyelvre támaszkodik olyan kifinomult fogalmak magyarázatához, mint a kontravariáns és kovariáns vektorok, a gradiens, a divergencia és a rotáció. A University of Chicago professor emeritusa által írt, 106 oldalas útmutató elegáns, algebra nélküli bizonyítást nyújt a Gauss-tételre és a Stokes-tételre, így a haladó matematikai fizikát hozzáférhetővé teszi diákok és szakemberek számára egyaránt. A könyv hidat képez az absztrakt matematikai elmélet és a gyakorlati alkalmazás között, mérnököknek és fizikusoknak világos geometriai keretet kínálva a mindennapi munkájukban nélkülözhetetlen vektorműveletek megértéséhez.


Product Features

  • Format: Kartonált (Paperback)
  • Pages: 106 pages
  • Dimensions: Standard textbook size
  • Language: Hungarian (Magyar)
  • ISBN: 9789634930082 / 978-9634930082
  • Publication Year: 2018
  • Publication Location: Budapest, Hungary
  • Publisher: Typotex Kft.
  • Subject Area: Mathematical Methods in Physics, Vector Analysis, Geometry
  • Target Audience: University students, physicists, engineers, mathematics educators
  • Pedagogical Approach: Visual/geometric learning, algebra-free explanations

Interesting Facts

About the Author: Gabriel Weinreich is a distinguished professor emeritus at the University of Chicago, where he taught "Mathematical Methods in Physics" for many years. His extensive teaching experience revealed a critical gap in mathematical education: students needed a resource that could explain vector algebra and vector analysis concepts through intuitive geometric visualization rather than abstract algebraic formulations. This book represents the culmination of years of classroom-tested materials refined through direct student interaction.

Innovative Teaching Method: What makes this textbook revolutionary is its commitment to complete geometric clarity without relying on algebraic notation. Weinreich demonstrates that complex mathematical concepts—traditionally taught through dense symbolic manipulation—can be understood through simple diagrams and spatial reasoning. This approach honors the original geometric foundations of vector theory while making it accessible to visual learners.

Breakthrough Visualizations: The book provides algebra-free, purely geometric proofs of two fundamental theorems in vector calculus: Gauss's theorem (divergence theorem) and Stokes's theorem. These proofs use unlabeled diagrams to convey precise mathematical reasoning—a pedagogical achievement that demonstrates the power of geometric intuition in mathematical understanding.

Practical Applications: The text emphasizes vector operations crucial to daily engineering and physics practice: gradient (measures rate of change), divergence (measures source/sink behavior), and curl/rotation (measures circulation). By presenting these operations geometrically, Weinreich helps practitioners develop deeper intuitive understanding of the mathematical tools they use regularly.

Conceptual Bridges: Beyond introductory concepts, the book points toward advanced topics including higher-dimensional spaces and curved spaces, preparing readers for general relativity and differential geometry while maintaining its geometric philosophy.

Hungarian Mathematical Tradition: Published by Typotex Kft. in Budapest, this work contributes to Hungary's rich mathematical heritage, joining a tradition of clear mathematical exposition from a nation that has produced numerous Fields Medal winners and influential mathematicians.

Publishers

Typotex Kft. is a prominent Hungarian academic publisher based in Budapest, specializing in scientific, technical, and educational literature. Founded to serve the Hungarian academic community, Typotex has built a reputation for publishing high-quality textbooks and scholarly works in mathematics, physics, engineering, and natural sciences. The publisher is committed to making complex scientific concepts accessible to Hungarian-speaking students and professionals, bridging international academic knowledge with local educational needs. Typotex's catalog includes translations of important international texts as well as original Hungarian scholarly works, contributing significantly to scientific education in Central Europe.

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