krainaksiazek geometric integration theory 20107058

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Geometric Integration Theory - 2845339415

319,99 zł

Geometric Integration Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry

This Self-contained And Accessible Textbook Introduces Geometric Measure Theory Through The Notion Of Currents. Motivating Key Ideas With Examples And Figures, This Book Is A Comprehensive Introduction Ideal For Both Self-study And For Use In The Classroo

Sklep: Gigant.pl

Geometric Integration Theory - 2847184495

144,99 zł

Geometric Integration Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry

This Self-contained And Accessible Textbook Introduces Geometric Measure Theory Through The Notion Of Currents. Motivating Key Ideas With Examples And Figures, This Book Is A Comprehensive Introduction Ideal For Both Self-study And For Use In The Classroo

Sklep: Gigant.pl

The Mathematics of Classical and Quantum Physics - 2826676408

92,99 zł

The Mathematics of Classical and Quantum Physics Dover Publications

Książki / Literatura obcojęzyczna

VOLUME ONE 1 Vectors in Classical Physics Introduction 1.1 Geometric and Algebraic Definitions of a Vector 1.2 The Resolution of a Vector into Components 1.3 The Scalar Product 1.4 Rotation of the Coordinate System: Orthogonal Transformations 1.5 The Vector Product 1.6 A Vector Treatment of Classical Orbit Theory 1.7 Differential Operations on Scalar and Vector Fields *1.8 Cartesian-Tensors 2 Calculus of Variations Introduction 2.1 Some Famous Problems 2.2 The Euler-Lagrange Equation 2.3 Some Famous Solutions 2.4 Isoperimetric Problems - Constraints 2.5 Application to Classical Mechanics 2.6 Extremization of Multiple Integrals 2.7 Invariance Principles and Noether's Theorem 3 Vectors and Matrics Introduction 3.1 "Groups, Fields, and Vector Spaces" 3.2 Linear Independence 3.3 Bases and Dimensionality 3.4 Ismorphisms 3.5 Linear Transformations 3.6 The Inverse of a Linear Transformation 3.7 Matrices 3.8 Determinants 3.9 Similarity Transformations 3.10 Eigenvalues and Eigenvectors *3.11 The Kronecker Product 4. Vector Spaces in Physics Introduction 4.1 The Inner Product 4.2 Orthogonality and Completeness 4.3 Complete Ortonormal Sets 4.4 Self-Adjoint (Hermitian and Symmetric) Transformations 4.5 Isometries-Unitary and Orthogonal Transformations 4.6 The Eigenvalues and Eigenvectors of Self-Adjoint and Isometric Transformations 4.7 Diagonalization 4.8 On The Solvability of Linear Equations 4.9 Minimum Principles 4.10 Normal Modes 4.11 Peturbation Theory-Nondegenerate Case 4.12 Peturbation Theory-Degenerate Case 5. Hilbert Space-Complete Orthonormal Sets of Functions Introduction 5.1 Function Space and Hilbert Space 5.2 Complete Orthonormal Sets of Functions 5.3 The Dirac d-Function 5.4 Weirstrass's Theorem: Approximation by Polynomials 5.5 Legendre Polynomials 5.6 Fourier Series 5.7 Fourier Integrals 5.8 Sphereical Harmonics and Associated Legendre Functions 5.9 Hermite Polynomials 5.10 Sturm-Liouville Systems-Orthogaonal Polynomials 5.11 A Mathematical Formulation of Quantum Mechanics VOLUME TWO 6 Elements and Applications of the Theory of Analytic Functions Introduction 6.1 Analytic Functions-The Cauchy-Riemann Conditions 6.2 Some Basic Analytic Functions 6.3 Complex Integration-The Cauchy-Goursat Theorem 6.4 Consequences of Cauchy's Theorem 6.5 Hilbert Transforms and the Cauchy Principal Value 6.6 An Introduction to Dispersion Relations 6.7 The Expansion of an Analytic Function in a Power Series 6.8 Residue Theory-Evaluation of Real Definite Integrals and Summation of Series 6.9 Applications to Special Functions and Integral Representations 7 Green's Function Introduction 7.1 A New Way to Solve Differential Equations 7.2 Green's Functions and Delta Functions 7.3 Green's Functions in One Dimension 7.4 Green's Functions in Three Dimensions 7.5 Radial Green's Functions 7.6 An Application to the Theory of Diffraction 7.7 Time-dependent Green's Functions: First Order 7.8 The Wave Equation 8 Introduction to Integral Equations Introduction 8.1 Iterative Techniques-Linear Integral Operators 8.2 Norms of Operators 8.3 Iterative Techniques in a Banach Space 8.4 Iterative Techniques for Nonlinear Equations 8.5 Separable Kernels 8.6 General Kernels of Finite Rank 8.7 Completely Continuous Operators 9 Integral Equations in Hilbert Space Introduction 9.1 Completely Continuous Hermitian Operators 9.2 Linear Equations and Peturbation Theory 9.3 Finite-Rank Techniques for Eigenvalue Problems 9.4 the Fredholm Alternative for Completely Continuous Operators 9.5 The Numerical Solutions of Linear Equations 9.6 Unitary Transformations 10 Introduction to Group Theory Introduction 10.1 An Inductive Approach 10.2 The Symmetric Groups 10.3 "Cosets, Classes, and Invariant Subgroups" 10.4 Symmetry and Group Representations 10.5 Irreducible Representations 10.6 "Unitary Representations, Schur's Lemmas, and Orthogonality Relations" 10.7 The Determination of Group Representations 10.8 Group Theory in Physical Problems General Bibliography Index to Volume One Index to Volume Two

Sklep: Libristo.pl

Hassler Whitney Collected Papers Volume 1 - 2848951591

407,98 zł

Hassler Whitney Collected Papers Volume 1 Springer Basel AG

Książki / Literatura obcojęzyczna

We present here the mathematical papers of Hassler Whitney. This collection contains all the published papers, with the exception of some short announcements that Whitney did not wish to be included. We also include the introduction to his book Geometric Integration Theory, and one previously unpublished manuscript on the four-color problem. The papers are presented under some broad categories: graphs

Sklep: Libristo.pl

Calculus of Variations - 2826704446

400,42 zł

Calculus of Variations Cambridge University Press

Książki / Literatura obcojęzyczna

This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues like Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais

Sklep: Libristo.pl

Mathematics and the Imagination - 2842080323

78,35 zł

Mathematics and the Imagination Dover Publications

Książki / Literatura obcojęzyczna

Introduction I. NEW NAMES FOR OLD Easy words for hard ideas Transcendental Non-simple curve Simple curve Simple group Bolsheviks and giraffes Turbines Turns and slides Circles and cycles Patho-circles Clocks Hexagons and parhexagons "Radicals, hyperradicals, and ultraradicals (nonpolitical)" New numbers for the nursery Googol and googolplex Miracle of the rising book The mathescope II. BEYOND THE GOOGOL Counting?the language of number "Counting, matching, and "Going to Jerusalem" Cardinal numbers Cosmic chess and googols The sand reckoner Mathematical induction The infinite and its progeny Zeno Puzzles and quarrels Bolzano Galileo's puzzle Cantor Measuring the measuring rod The whole is no greater than some of its parts The first transfinite?Alepho Arithmetic for morons Common sense hits a snag Cardinality madman The tortoise unmasked Motionless motion Private life of a number The house that Cantor built III. "Pie, i, e (PIE)" Chinamen and chandeliers Twilight of common sense "Pie, i, e" Squaring the circle and its cousins Mathematical impossibility "Silk purse, sow's ear, ruler and compass" Rigor mortis Algebraic equations and transcendental numbers Galois and Greek epidemics Cube duplicators and angle trisectors Biography of pie "Infancy: Archimedes, the Bible, the Egyptians" "Adolescence: Vieta, Van Ceulen" "Maturity: Wallis, Newton, Leibniz" "Old Age: Dase, Richter, Shanks" Victim of schizophrenia Boon to insurance companies (e) Logarithms or tricks of the trade Mr. Briggs is surprised Mr. Napier explains "Biography of e; or e, the banker's boon" Pituitary gland of mathematics: the exponential function (i) "Humpty Dumpty, Doctor or Semantics" Imaginary numbers "The v-1, or "Where am I?" " "Biography of i, the self-made amphibian" "Omar Khayyám, Cardan, Bombelli, and Gauss" i and Soviet Russia Program music of mathematics "Breakfast in bed; or, How to become a great mathematician" Analytic geometry Geometric representation of i Complex plane "A famous formula, faith, and humility" IV. ASSORTED GEOMETRIES?PLANE AND FANCY The talking fish and St. Augustine A new alphabet High priests and mumbo jumbo Pure and applied mathematics Euclid and Texas Mathematical tailors Geometry?a game "Ghosts, table-tipping, and the land of the dead" Fourth-dimension flounders Henry More to the rescue Fourth-dimension?a new gusher A cure for arthritis Syntax suffers a setback The physicist's delight Dimensions and manifolds Distance formulae Scaling blank walls Four-dimensional geometry defined Moles and tesseracts A four-dimensional fancy Romance of flatland Three-dimensional cats and two-dimensional kings Gallant Gulliver and the gloves Beguiling voices and strange footprints Non-Euclidean geometry Space credos and millinery Private and public space Rewriting our textbooks The prince and the Boethians The flexible fifth The mathematicians unite?nothing to lose but their chains Lobachevsky breaks a link Riemann breaks another Checks and double checks in mathematics The tractrix and the pseudosphere Great circles and bears The skeptic persists?and is stepped on Geodesics Seventh Day Adventists Curvature Lobachevskian Eiffel Towers and Riemannian Holland Tunnels V. PASTIMES OF PAST AND PRESENT TIMES Puzzle acorns and mathematical oaks Charlemagne and crossword puzzles "Mark Twain and the "farmer's daughter" The syntax of puzzles Carolyn Flaubert and the cabin boy "A wolf, a goat, and a head of cabbage" Brides and cuckolds I'll be switched "Poisson, the misfit" "High finance; or, The international beer wolf" Lions and poker players The decimal system Casting out nines "Buddha, God, and the binary scale" "The march of culture; or, Russia, the home of the binary system" The Chinese rings The tower of Hanoi "The ritual of Benares: or, Charley horse in the Orient" "Nim, Sissa Ben Dahir, and Josephus" Bismarck plays the boss The 15 puzzle plague The spider and the fly A nightmare of relatives The magic square Take a number from 1 to 10 Fermat's last theorem Mathematics' lost legacy VI. PARADOX LOST AND PARADOX REGAINED Great paradoxes and distant relatives Three species of paradox Paradoxes strange but true Wheels that move faster on top than on bottom The cycloid family "The curse of transportation; or, How locomotives can't make up their minds" Reformation of geometry Ensuing troubles Point sets?the Arabian Nights of mathematics Hausdorff spins a tall tale Messrs. Banach and Tarski rub the magic lamp Baron Munchhausen is stymied by a pea Mathematical fallacies "Trouble from a bubble; or, Dividing by zero" The infinite?troublemaker par excellence Geometrical fallacies Logical paradoxes?the folk tales of mathematics Deluding dialectics of the poacher and the prince; of the introspective barber; of the number 111777; of this book and Confucius; of the Hon. Bertrand Russell "Scylla and Charybdis; or, What shall poor mathematics d "Twits Napoleon, who does" The Marquis de Condorcet has high hopes M. le Marquis omits a factor and loses his head Fourier of the Old Guard Dr. Darwin of the New The syllogism scraps a standby Mr. Socrates may not die "Ring out the old logic, ring in the new" VIII. RUBBER-SHEET GEOMETRY Seven bridges over a stein of beer Euler shivers Is warmed by news from home Invents topology Dissolves the dilemma of Sunday strollers Babies' cribs and Pythagoreans Talismen and queer figures Position is everything in topology Da Vinci and Dali Invariants Transformations The immutable derby "Competition for the caliph's cup; or, Sifting out the suitors by science" Mr. Jordan's theorem Only seems idiotic Deformed circles Old facts concerning Times Square and a balloonist's head Eccentric deportment of several distinguished gentlemen at Princeton Their passion for pretzels Their delving in doughnuts Enforced modesty of readers and authors The ring Lachrymose recital around a Paris pissoir "Who staggered how many times around the walls of what?" In and out the doughnut Gastric surgery?from doughnut to sausage in a single cut N-dimensional pretzels The Möbius strip Just as black as it is painted Foments industrial discontent Never takes sides Bane of painter and paintpot alike The iron rings "Mathematical cotillion; or, How on earth do I get rid of my partner?" "Topology?the pinnacle of perversity; or, Removing your vest without your coat" Down to earth?map coloring Four-color problem Euler's theorem The simplest universal law Brouwer's puzzle The search for invariants IX. CHANGE AND CHANGEABILITY The calculus and cement Meaning of change and rate of change Zeno and the movies "Flying Arrow" local?stops at all points" Geometry and genetics The arithmetic men dig pits Lamentable analogue of the boomerang History of the calculus Kepler Fermat Story of the great rectangle Newton and Leibniz Archimedes and the limit "Shrinking and swelling; or, "Will the circle go the limit?" Brief dictionary of mathematics and physics "Military idyll; or, The speed of the falling bomb" The calculus at work The derivative Higher derivatives and radius of curvature Laudable scholarship of automobile engineers The third derivative as a shock absorber The derivative finds its mate Integration Kepler and the bungholes "Measuring lengths; or, The yawning regress" Methods of approximation Measuring areas under curves Method of rectangular strips The definite Indefinite On the inverse of the other "The outline of history and the descent of man: or, y=ex" Sickly curves and orchidaceous ones The snowflake Infinite perimeters and postage stamps Anti-snowflake Super-colossal pathological specimen?the curve that fills space The unbelievable crisscross EPILOGUE. MATHEMATICS AND THE IMAGINATION

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