Topics in Topology. (AM-10), Volume 10
()
About this ebook
Solomon Lefschetz pioneered the field of topology--the study of the properties of many-sided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more in-depth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology.
Lefschetz moved to the United States from France in 1905 at the age of twenty-one to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph.D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a world-class scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946.
Read more from Solomon Lefschetz
Dover Books on Mathematics
Related to Topics in Topology. (AM-10), Volume 10
Titles in the series (100)
The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Rating: 0 out of 5 stars0 ratingsConsistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsAlgebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsContributions to Fourier Analysis. (AM-25) Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games (AM-37) Rating: 1 out of 5 stars1/5Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Transcendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsAutomata Studies. (AM-34), Volume 34 Rating: 5 out of 5 stars5/5Surface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratings
Related ebooks
Meromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsFourier Transforms. (AM-19), Volume 19 Rating: 0 out of 5 stars0 ratingsProfinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 Rating: 0 out of 5 stars0 ratingsAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 Rating: 0 out of 5 stars0 ratingsCharacteristic Classes. (AM-76), Volume 76 Rating: 5 out of 5 stars5/5Singular Points of Complex Hypersurfaces (AM-61), Volume 61 Rating: 0 out of 5 stars0 ratingsTopology Rating: 5 out of 5 stars5/5The Action Principle and Partial Differential Equations. (AM-146), Volume 146 Rating: 0 out of 5 stars0 ratingsIntroduction to the Theory of Linear Partial Differential Equations Rating: 0 out of 5 stars0 ratingsComplex Dynamics and Renormalization (AM-135), Volume 135 Rating: 4 out of 5 stars4/5Morse Theory. (AM-51), Volume 51 Rating: 4 out of 5 stars4/5Finite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Combinatorics of Train Tracks. (AM-125), Volume 125 Rating: 0 out of 5 stars0 ratingsFunctional Analysis and Time Optimal Control Rating: 0 out of 5 stars0 ratingsTopics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 Rating: 0 out of 5 stars0 ratingsNormal Two-Dimensional Singularities. (AM-71), Volume 71 Rating: 0 out of 5 stars0 ratingsPeriod Spaces for p-divisible Groups (AM-141), Volume 141 Rating: 0 out of 5 stars0 ratingsCombinatorial Set Theory: Partition Relations for Cardinals Rating: 0 out of 5 stars0 ratingsGeneralized Feynman Amplitudes. (AM-62), Volume 62 Rating: 0 out of 5 stars0 ratingsSingular Perturbations I: Spaces and Singular Perturbations on Manifolds Without Boundary Rating: 0 out of 5 stars0 ratingsAngular Momentum in Quantum Mechanics Rating: 0 out of 5 stars0 ratingsElements of Analytical Dynamics Rating: 0 out of 5 stars0 ratingsComparison Theorems in Riemannian Geometry Rating: 0 out of 5 stars0 ratingsMathematical Models in Environmental Problems Rating: 0 out of 5 stars0 ratingsCausal Symmetric Spaces Rating: 0 out of 5 stars0 ratingsNilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsRamification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratings
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for Topics in Topology. (AM-10), Volume 10
0 ratings0 reviews