Reprint of the 1975 edition. — Springer-Verlag, 2002. — 526 p. — (Classics in Mathematics). — ISBN-13 9783540427506. This book is the result of lecture courses on algebraic topology given by the author at the University of Manchester in 1967-1970, at Cornell University in 1970-1971 and at the Georg August University, Gottingen, in 1971-1972. The level of the material is more...
Cambridge University Press, 2000. 361 pages. Contents. Categories. Categories and Exact Sequences. Change of Rings. The Morita Theory. Limits in Categories. Localization. Local-Global Methods.
New York: Dover Publications, 1979. — 331 p. Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and...
Academic Press, 1971. — 435 p. Affine geometry Intuitive Affine Geometry Axioms for Affine Geometry A Concrete Model for Affine Space Translations Affine Subspaces Intersection of Affine Subspaces Coordinates for Affine Subspaces Analytic Geometry Parallelism Affine Subspaces Spanned by Points The Group of Dilations The Ratio of a Dilation Dilations in Terms of Coordinates The...
American Mathematical Society, 2012. — 479 p. Euclid. Incidence Geometry. Axioms for Plane Geometry. Angles. Triangles. Models of Neutral Geometry. Perpendicular and Parallel Lines. Polygons. Quadrilaterals. The Euclidean Parallel Postulate. Area. Similarity. Right Triangles. Circles. Circumference and Circular Area. Compass and Straightedge Constructions. The Parallel...
Cambridge At The University Press. 1958. 136 pages Contents: General properties of convex sets Helly's theorem and its applications General properties of convex functions Approximations to convex sets. The Blaschke selection theorem Transformations and combinations of convex sets Some special problems Sets of constant width
Hindustan Book Agency, 2011. — 117 p. Topological Preliminaries. The Haar measure on a locally compact group. Hilbert spaces and the spectral theorem. Compact groups and their representations.
Chicago; London: The University of Chicago Press, 1969. — 200 p. — (Chicago Lectures in Mathematics). These lecture notes combine three items previously available from Chicago's Department of Mathematics: Theory of Fields, Notes on Ring Theory, and Homological Dimension of Rings and Modules. I hope the material will be useful to the mathematical community and more convenient in...
Springer. 2013 — 787 pages. Contents. Parameterized Tractability. Preliminaries. The Basic Definitions. Elementary Positive Techniques. Bounded Search Trees. Kernelization. More on Kernelization. Iterative Compression, and Measure and Conquer, for Minimization Problems. Further Elementary Techniques. Color coding, Multilinear Detection, and Randomized divide-and-conquer....
W. A. Benjamin, 1969. — 219 p. Thermodynamic Behavior. Ensembles. The Thermodynamic Limit for Thermodynamic Functions: Lattice Systems. The Thermodynamic Limit for Thermodynamic Functions: Continuous Systems. Low Density Expansions and Correlation Functions. The Problem of Phase Transitions. Group lnvariance of Physical States. The States of Statistical Mechanics. Appendix Some...
Springer, 2006. — 364 p. Large Deviations and Statistical Mechanics Introduction to Large Deviations Large Deviation Property and Asymptotics of Integrals Large Deviations and the Discrete Ideal Gas Ferromagnetic Models on Z Magnetic Models on Z^D and on the Circle Convexity and Proofs of Large Deviation Theorems Convex Functions and the Legendre-Fenchel Transform Large...
Springer-Verlag, 1964. — 73 p. — (Lecture Notes in Mathematics). Introduction. Primary Operations. Stable Homotopy Theory. Applications of Homological Algebra to Stable Homotopy Theory. Theorems of Periodicity and Approximation in Homological Algebra. Comments on prospective applications of 5, work in progress, etc.
American Mathematical Society, 1997. — 249 p. Introduction Prologue: the category of L-spectra Structured ring and module spectra The homotopy theory of R-modules The algebraic theory of R-modules R-ring spectra and the specialization to MU Algebraic K-theory of S-algebras R-algebras and topological model categories Bousfield localizations of R-modules and algebras Topological...
American Mathematical Society, 2011. — 835 p. The Language of Categories Categories and Functors Limits and Colimits Semi-Formal Homotopy Theory Categories of Spaces Homotopy Cofibrations and Fibrations Homotopy Limits and Colimits Homotopy Pushout and Pullback Squares Tools and Techniques Topics and Examples Model Categories Four Topological Inputs The Concept of Dimension in...
Springer-Verlag, 1993. — 262 p. Introduction to Topology. Point-set Topology in R^n. Point-set Topology. Surfaces. The Euler Characteristic. Homology. Cellular Functions. Invariance of Homology. Homotopy. Miscellany. Topology and Calculus.
American Mathematical Society, 2000. — 213 p. Introduction. Affine Varieties. Projective Varieties. Smooth Points and Dimension. Plane Cubic Curves. Cubic Surfaces. Introduction to the Theory of Curves.
Publish or Perish, 2010. — 733 p. The Foundations of Mechanics . Newtonian Mechanics. Newton's Analysis of Central Forces. Conservation Laws. The One-Body and Two-Body Problems. Rigid Bodies. Constraints. Philosophical and Historical Questions. Building on the Foundations . Oscillations. Rigid Body Motion. Non-Inertial Systems and Fictitious Forces. Friction, Friend and Foe....
Princeton University Press, 1993. — 157 p. Definitions and examples. Singularities and compactness. Orbits, topology, and line bundles. Moment maps and the tangent bundle. Intersection theory.
Cambridge University Press, 1989. — 175 p. Sense, Denotation and Semantics. Natural Deduction. The Curry-Howard Isomorphism. The Normalisation Theorem. Sequent Calculus. Strong Normalisation Theorem. Goedel's system T. Coherence Spaces. Denotational Semantics of T. Sums in Natural Deduction. System F. Coherence Semantics of the Sum. Cut Elimination (Hauptsatz). Strong...
Springer, 1967. — 168 p. Introduction. Categories of Fractions. Simplicial Sets. Geometric Realization of Simplicial Sets. The Homotopic Category. Exact Sequences of Algebraic Topology. Exact Sequences of the Homotopic Category. Combinatorial Description of Topological Spaces. Appendix I: Coverings. Appendix II: The Homology Groups of a Simplicial Set.
American Mathematical Society, 2002. — 349 p. — (Mathematical Surveys and Monographs Volume 96). Introduction and History. Operads in a Symmetric Monoidal Category. Topology - Review of Classical Results. Algebra. Geometry. Generalization of Operads.
Elsevier, 2008. — 310 p. — (Studies in Logic and the Foundations of Mathematics 152). Contents. Introduction. Partial Combinatory Algebras. Realizability triposes and toposes. The Effective Topos. Variations.
Springer-Verlag, Canadian Mathematical Society, 2011. — 243 p. Fundamental Concepts The Category of Simplicial Complexes Homology of Polyhedra Cohomology Triangulable Manifolds Homotopy Groups
Springer Publications. 1983. 256 pages. Contents. Algebraic Groups. General Theorems on Abelian Varieties. The Theorem of the Square. Divisor Classes on an Abelian Variety. Functorial Formulas. The Picard Variety of an Arbitrary Variety. The l-Adic Representations. Algebraic Systems of Algebraic Varieties. Compositions of Correspondences.
Springer-Verlag, 1973. — 257 p. — (Lecture Notes in Mathematics). Introduction. Motivation and a historical survey. Topological-algebraic theories. The bar construction for theories. Homotopy homomorphisms. Structures on based spaces. Iterated loop spaces and actions on classifying spaces. Homotopy collmits. Appendix.
Harper and Row Publishers, 1968. — 214 p. Introduction to cohomology operations. Construction of the steenrod squares. Properties of the squares. Application: the hopf invariant. Application: vector fields on spheres. The steenrod algebra. Exact couples and spectral sequences. Fibre spaces. Cohomology of k(\pi,n). Classes of abellAN Groups. More about fiber spaces....
Springer-Verlag, 1972. — 175 p. — (Lecture Notes in Mathematics). Operads and \zeta-spaces Operads and monads A_infinity and E_infinity operads The little cubes operads \zeta_{n} Iterated loop spaces and the \zeta_{n} The approximation theorem Cofibrations and quasi-fibrations The smash and composition products A categorical construction Monoidal categories Geometric...
Springer-Verlag, 1976. — 483 p. — (Lecture Notes in Mathematics). The homology of E_infinity spaces The homology of E_infinity ring spaces The homology of \zeta_{n+1}-spaces, n \geq 0 The homology of SP(n+1) Strong homotopy algebras over monads
Springer-Verlag, 1984. — 388 p. — (Lecture Notes in Mathematics). Extended Powers and H ∞ ring spectra. Miscellaneous applications in stable homotopy theory. Homology Operations for H_infinity and H_n ring spectra. The homotopy theory of H_infinity ring spectra. The homotopy groups of H_infinity ring spectra. The Adams Spectral Sequence of H_infinity ring spectra. H_infinity...
Springer-Verlag, 1977. — 268 p. — (Lecture Notes in Mathematics). Introduction l functors Coordinate-free spectra Orientation Theory E_infinity ring spectra On kO-oriented bundle theories E_infinity ring spaces and bipermutative categories The recognition principle for E_infinity ring spaces Algebraic and topological K-Theory Pairings in infinite loop space theory
American Mathematical Society, 1996. — 272 p. — (Fields Institute monographs). — ISBN 0-8218-0600-9. This book is a set of lecture notes prepared for the graduate course Adams Spectral Sequences and Stable Homotopy Theory given at The Fields Institute during the fall of 1995. The aim of this book is to prepare students, with a knowledge of elementary algebraic topology, to...
Princeton University Press and University of Tokyo Press, 1978. — 223 p. The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of...
The University of Chicago Press, 161 p. — ISBN 0-226-51180-4. Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940s, and they also play an important role in other areas such as geometric topology and algebraic geometry. On a formal level, the homotopy theory of simplicial...
Springer Science+ Business Media, 2002. — 274 p. The First Course in Calculus went through five editions since the early sixties. Sociological and educational conditions have evolved in various ways during four decades. Hence it has been found worth while to make the original edition again available. It is also worth while repeating here most of the foreword which I wrote...
A Manuscript for introduction to various aspects of geometry and further directions. — Version as of 17 Jan 2006. — 142 p. The original text underlying this book was a set of notes compiled, originally as a participant and later as an instructor, for the Math Olympiad Program (MOP), 2 the annual summer program to prepare U.S. high school students for the International...
Sudbury: Jones and Bartlett, 1995. — 402 p. — ISBN: 0-86720-472-9. International edition. This book presents the principal ideas of classical elementary number theory, emphasizing the historical development of these results and the important figures who worked on them. This book is also intended to introduce students to mathematical prooves by presenting them in a clear and...
Groningen: Noordhoff, 1964. — 159 p. A tutorial text. An introduction to the elementary properties of inequalities at senior high school or undergraduate level. To this day one of the best ways to approach the rich subject of inequalities.
2nd edition. — John Wiley & Sons, Inc., 1976. — 402 p. This book is intended as a one-year course for students who have completed an ordinary sequence of courses in elementary calculus. It presents in rigorous fashion basic material on the fundamental concepts and tools of analysis—functions, limits, continuity, derivatives and integrals, sequences, and series. Most of the...
Forgotten Books, 2016. — 332 p. A classic in Trigonometry. The following work will, be found to be a fairly complete elementary text-book on Plane Trigo nometry, suitable for Schools and the Pass and Junior Honour classes of Universities. In the higher portion of the book the author has endeavoured to present to the student, as simply as possible, the modern treatment of complex...
Sans donneés de publication. — 2001. — 83 p. Il s'agit de présenter les inégalités classiques que doit connaitre tout candidat aux compétitions de Mathématiques de niveau national ou international. Elles sont accompagnées d'exemples d'applications corrigés, et de divers exercices d'entrainement tirés en général des différentes compétitions qui ont lieu de par le monde, et...
Arihant, 2018. — 186 p. A helpful book that teaches graphing functions and related things. May be useful for mathematical competitions or just to learn the material well. Introduction to graphs. Curvature and transformations. Asymptotes, singular points and curve tracing.
Dover Publications, 2008. — 213 p. Dealing primarily with the development of vector algebra as a mathematical tool in geometry, this elementary text features applications to trigonometry, both plane and spherical, and algebra. Appropriate for high school students and college undergraduates, it offers greater insights into theorems by employing vector and analytic proofs, rather...
Pearson, 2013. — 823 p. — ISBN: 978-8131773604, 978-9332517646. A successful course in analytical geometry must provide a foundation for future work in mathematics. The intention is to instil certain technical competence in students in this discipline of mathematics. A good textbook, as with a good teacher, should accomplish these aims. In this book, you will find a crisp,...