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  • FU Berlin  (11)
  • SB Kyritz
  • SB Rathenow
  • IGB Berlin
  • Mathematics
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  • 1
    Book
    Book
    New York [u.a.] :Springer,
    UID:
    almafu_BV010937779
    Format: X, 158 S. : graph. Darst.
    ISBN: 0-387-94734-5
    Series Statement: Universitext
    Content: This book presents some of the most famous problems of convex and discrete geometry - such as Borsuk's problem (is it possible to partition any bounded set in an n-dimensional Euclidean space into n+1 subsets, each of which is strictly smaller in diameter than the full set?) and the finite sphere-packing problem (how can one arrange m nonoverlapping congruent spheres in an n-dimensional Euclidean space to minimize the volume or surface area of their convex hull?) - as well as their (at times astonishing) answers. Though covering some of the most recent developments in the field, the book is self-contained, and can be understood by any trained mathematician.
    Language: English
    Subjects: Mathematics
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    Keywords: Konvexe Geometrie ; Diskrete Geometrie ; Lehrbuch
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  • 2
    UID:
    almafu_BV003593991
    Format: XIII, 300 S. : Ill.
    ISBN: 0-471-50030-5
    Series Statement: Wiley science editions
    Content: Mathematics is a science of rare mystery, created by great mathematicians who can at times seem like master magicians. This book opens up the world of mathematics to a wide and diverse audience of history, science, math, and general interest readers.
    Language: English
    Subjects: Mathematics
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    Keywords: Mathematik ; Geschichte ; Theorem ; Geschichte ; Mathematik ; Mathematiker ; Biografie ; Biografie ; Biografie ; Biografie
    Author information: Dunham, William 1947-
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  • 3
    UID:
    almafu_BV009110277
    Format: XII, 240 S. : , Illustrationen.
    ISBN: 3-540-94161-4 , 0-387-94161-4
    Content: This book comprises a collection of 125 problems and snapshots from discrete probability. The problems are selected on the basis of their elegance and utility whereas the snapshots are intended to provide a quick overview of topics in probability. These include combinatorics, Poisson approximation, patterns in random sequences, Markov chains, random walks, cover times, and embedding procedures
    Content: A wide range of readers will enjoy this diverse selection of topics. Students will find this a helpful and stimulating companion to their probability courses. The snapshots will leave the students with an expanded knowledge about topics not generally covered by textbooks. Other than a basic exposure to probabilistic ideas, such as might be gained from a first course in probability, it is self-contained
    Content: Consequently, almost all of the problems can be tackled by undergraduate students as well as appeal to those who enjoy the challenge of constructing and solving problems
    Note: Literaturverz. S. 230 - 235
    Language: English
    Subjects: Mathematics
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    Keywords: Wahrscheinlichkeitsrechnung ; Wahrscheinlichkeit ; Beispielsammlung ; Beispielsammlung ; Beispielsammlung
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  • 4
    UID:
    almafu_BV041928584
    Format: XVI, 480 S. : , Ill., graph. Darst.
    ISBN: 978-1-4027-9322-6
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Unterhaltungsmathematik ; Mathematik ; Populärwissenschaftliche Darstellung
    Author information: Kolata, Gina Bari 1948-
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  • 5
    Book
    Book
    New York :St. Martin's Press,
    UID:
    almafu_BV012106984
    Format: 200 S. : Ill., graph. Darst.
    ISBN: 0-312-38185-9
    Content: The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress and also when it did not, because science was being stifled by militarism or religious fanaticism. The mathematical level of this book is flexible, and there is plenty for readers of all ages and interests.
    Language: English
    Subjects: Mathematics
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    Keywords: Pi ; Geschichte ; Pi
    Author information: Beckmann, Petr 1924-1993
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  • 6
    Online Resource
    Online Resource
    New York :Wiley,
    UID:
    almafu_9959328500802883
    Format: 1 online resource (xvvii, 653 pages) : , illustrations
    ISBN: 9781118032930 , 1118032934 , 9781118031186 , 1118031180
    Content: A thorough and highly accessible resource for analysts in a broad range of social sciences. Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Award-winning educator Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods. Dr. Miller lays a solid foundation for both linear and nonlinear models and quickly moves on to dis.
    Note: Front Matter -- Foundations: Linear Methods. Foundations: Linear Methods -- Matrix Algebra -- Systems of Linear Equations -- Foundations: Nonlinear Methods. Foundations: Nonlinear Methods -- Unconstrained Maximization and Minimization -- Constrained Maximization and Minimization -- Applications: Iterative Methods for Nonlinear Problems. Applications: Iterative Methods for Nonlinear Problems -- Solving Nonlinear Equations -- Solving Unconstrained Maximization and Minimization Problems -- Applications: Constrained Optimization in Linear Models. Applications: Constrained Optimization in Linear Models -- Linear Programming: Fundamentals -- Linear Programming: Extensions -- Linear Programming: Interior Point Methods -- Applications: Constrained Optimization in Nonlinear Models. Applications: Constrained Optimization in Nonlinear Models -- Nonlinear Programming: Fundamentals -- Nonlinear Programming: Duality and Computational Methods -- Answers to Selected Problems -- Index. , Foundations: Linear Methods , Matrix Algebra , Matrices: Definition and General Representation , Algebra of Matrices , Matrix Operations: Addition and Subtraction , Matrix Definitions: Equality and the Null Matrix , Matrix Operations: Multiplication , Matrix Definitions: The Identity Matrix , Matrix Operations: Transposition , Matrix Operations: Partitioning , Additional Definitions and Operations , Linear Equation Systems: A Preview , Matrix Operations: Division , Geometry of Simple Equation Systems: Solution Possibilities , Geometry of Vectors , Linear Combinations of Vectors , Geometry of Multiplication by a Scalar , Geometry of Addition (and Subtraction) , Additional Vector Geometry , Linear Dependence and Independence , Quadratic Forms , Basic Structure of Quadratic Forms , Rewritten Structure of Quadratic Forms , Principal Minors and Permutation Matrices , Sign of a Quadratic Form , Systems of Linear Equations , 2 [times] 2 Case Again , 3 [times] 3 Case , Numerical Illustrations , Summary of 2 [times] 2 and 3 [times] 3 Solution Possibilities , N [times] n Case , Consistent Systems [[rho](A) = [rho](A)] , Inconsistent Systems [[rho](A) [not equal rho](A)] , More Matrix Algebra: Inverses for Nonsquare Matrices , M〉 n Case , M 〈n Case , Nonsquare Inverses and Systems of Linear Equations , Fewer Equations than Unknowns (m 〈n) , Consistent Systems [[rho](A) = [rho](A)] , Inconsistent Systems [[rho](A) [not equal rho](A)] , Summary: Fewer Equations than Unknowns , More Equations than Unknowns (m〉 n) , Consistent Systems [[rho](A) = [rho](A)] , Inconsistent Systems [[rho](A) [not equal rho](A)] , Summary: More Equations than Unknowns , Numerical Methods for Solving Systems of Linear Equations , Elementary Matrix Operations and Gaussian Methods , Iterative Methods , Factorization of the Matrix A , Numerical Illustration , Foundations: Nonlinear Methods , Unconstrained Maximization and Minimization , Limits and Derivatives for Functions of One Variable , Limits , Derivative (Algebra) , Derivative (Geometry) , Maximum and Minimum Conditions for Functions of One Variable , (First) Derivative--a Question of Slope , Second Derivative--a Question of Shape , Maxima and Minima Using First and Second Derivatives , Differential , Maxima and Minima with Differentials , Taylor's Series, Concavity, and Convexity of f(x) , Taylor's Series for f(x) , Concavity and Convexity of f(x) , Local, Global and Unique Maxima and Minima , Additional Kinds of Convexity and Concavity , Numerical Examples , Maxima and Minima for Functions of Two Independent Variables , Partial Derivatives, Gradient Vectors, and Hessian Matrices , Maxima and Minima for f(x[subscript 1], x[subscript 2]) , Total Differential for Functions of Two Variables , Taylor's Series, Concavity, and Convexity of f(X) , Taylor's Series for f(X) , Concavity and Convexity of f(X) , Convex Sets , Numerical Illustrations for the f(x[subscript 1], x[subscript 2]) Case , Quasiconcave and Quasiconvex FunctionsH f(x[subscript 1], x[subscript 2]) , Maxima and Minima for Functions of n Independent Variables , First-Order Conditions , Second-Order Conditions , Quasiconcave and Quasiconvex Functions , Quasiconcavity and Quasiconvexity of f(x) , Quasiconcavity and Quasiconvexity of f(X) , Maclaurin's and Taylor's Series , Maclaurin's Series , Taylor's Series , Taylor's Theorem , Constrained Maximization and Minimization , Quadratic Forms with Side Conditions , Maxima and Minima for Functions of Two Dependent Variables , First-Order Conditions: Differentials , First-Order Conditions: Lagrange Multipliers , Second-Order Conditions , Geometry of the First-Order Conditions , Two Examples with Gradients that Are Null Vectors , A Note on the Form of the Lagrangian Function , Extension to More Dependent Variables , First-Order Conditions , Second-Order Conditions , Extension to More Constraints , First-Order Conditions , Second-Order Conditions , Maxima and Minima with Inequality Constraints , Standard Forms for Inequality-Constrained Problems , More on Inequalities and Convex Sets , One Inequality Constraint , More than One Inequality Constraint , A Systematic Approach: The Kuhn-Tucker Method , Further Complications , Applications: Iterative Methods for Nonlinear Problems , Solving Nonlinear Equations , Solutions to f(x) = 0 , Nonderivative Methods , Derivative Methods , Solutions to F(X) = 0 , Nonderivative Methods , Derivative Methods , Finite-Difference Approximations to Derivatives, Gradients, and Hessian Matrices , Functions of One Variable , Functions of Several Variables , Systems of Equations , Hessian Matrices , Sherman-Morrison-Woodbury Formula , Solving Unconstrained Maximization and Minimization Problems , Minimization of f(x) , Simultaneous Methods , Sequential Methods , Parabolic Interpolation , Combined Techniques , Line Search with Derivatives , Minimization of f(X): Nonderivative Methods , Test Functions , Simplex Methods , Sequential Univariate Search , Conjugate Direction Methods , Results for Additional Test Functions , Minimization of f(X): Derivative Methods , Classical Gradient Methods , Restricted Step Methods , Conjugate Gradient Methods , Quasi-Newton (Variable Metric) Methods , Results for Additional Test Functions , Sherman-Morrison-Woodbury Formula Revisited , Symmetric Rank 1 Changes , An Alternative SMW Expression , Symmetric Rank 2 Changes , Another Alternative SMW Expression , Symmetric Rank n Changes (n〉 2) and the Accompanying SMW Expression , Applications: Constrained Optimization in Linear Models , Linear Programming: Fundamentals , Fundamental Structure, Algebra, and Geometry , Illustrative Example , Minimization Problem: Algebra , Maximization Problem: Geometry , Convex Set Theory Again , Simplex Method , Simplex Criterion , Simplex Arithmetic , Duality , Mathematical Relationships and Interpretation , Dual Values in the Simplex Tables , Optimal Solution to the Dual , Sensitivity Analysis , Changes in the Right-Hand Side of a Constraint , Changes in an Objective Function Coefficient , Linear Programming: Extensions , Multiple Optima and Degeneracy , Primal Multiple Optima , Primal Degenerate Optimum , Artificial Variables , Equations as Constraints , Transportation Problem , Fundamental Structure , Numerical Illustration , Assignment Problem , Fundamental Structure , Numerical Illustration , Integer Programming , Geometry of Integer Programs , Complete Enumeration , Gomory's Cutting-Plane Method , Branch-and-Bound Methods , Hierarchical Optimization and Goal Programming , Hierarchical Optimization: Structure , Hierarchical Optimization: Numerical Illustration , An Alternative Hierarchical Optimization Approach , Numerical Illustration of This Alternative Approach , Goal Programming: Structure , Goal Programming: Numerical Illustration , Linear Programming: Interior Point Methods , Introduction to Interior Point Methods , Affine Scaling Interior Point Methods , Direction of Movement , Step Size , Scaling , Starting and Stopping , Path-Following Interior Point Methods , Additional Variations and Implementation Issues , Regular Simplices; Circles and Ellipses , Alternative Scalings
    Additional Edition: Print version: Miller, Ronald E. Optimization. New York : Wiley, 2000 ISBN 0471322423
    Language: English
    Subjects: Economics , Mathematics
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    Keywords: Electronic books. ; Electronic books. ; Electronic books.
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  • 7
    Book
    Book
    Boston [u.a.] :Houghton Mifflin Harcourt,
    UID:
    almafu_BV040471005
    Format: XII, 316 S. : , Ill.
    ISBN: 978-0-547-51765-0
    Series Statement: An Eamon Dolan book
    Content: Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how Google searches the internet, or determining how many people you should date before settling down, Strogatz shows how math connects to every aspect of life. Discussing pop culture, medicine, law, philosophy, art, and business, Strogatz is the math teacher you wish youd had. Whether you aced integral calculus or arent sure what an integer is, youll find profound wisdom and persistent delight in The Joy of x.
    Language: English
    Subjects: Mathematics
    RVK:
    Author information: Strogatz, Steven 1959-
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  • 8
    Book
    Book
    New York :Oxford University Press,
    UID:
    almafu_BV008019929
    Format: X, 314 Seiten.
    ISBN: 0-19-506303-1 , 0-19-508919-7
    Uniform Title: Das Mysterium der Zahl
    Content: "Why is the number seven lucky - even holy - in almost every culture? Why do cats have nine lives (except in Iran, where they have seven)? From literature to folklore to private superstitions, numbers play a conspicuous role in our daily lives. But in this fascinating book, Annemarie Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society."
    Content: "In The Mystery of Numbers Annemarie Schimmel conducts an illuminating tour of the mysteries attributed to numbers over the centuries. She begins with an informative and often surprising introduction to the origins of number systems: pre-Roman Europeans, for example, may have had one based on twenty, not ten (as suggested by the English word "score" and the French word for 80, quatrevingt - four times twenty), while the Mayans had a system more sophisticated than our own. Schimmel also reveals how our fascination with numbers has led to a rich cross-fertilization of knowledge: "Arabic" numerals, for instance, were picked up by Europe from the Arabs, who had earlier adopted them from Indian sources ("algorithm" and "algebra" are corruptions of the Arabic author and title names of a mathematical text prized in medieval Europe). But the heart of the book is an engrossing guide to the symbolism of numbers. Number symbolism, she shows, has deep roots in Western culture, from the philosophy of the Pythagoreans and Platonists, to the religious mysticism of the Cabala and the Islamic Brethren of Purity, to Kepler's belief that the laws of planetary motion should be mathematically elegant, to the unlucky thirteen. After exploring the sources of number symbolism, Schimmel examines individual numbers ranging from one to ten thousand, discussing the meanings they have had for Judaic, Christian, and Islamic traditions, with examples from Indian, Chinese, and Native American cultures as well. Two, for instance, has widely been seen as a number of contradiction and polarity. And six, according to ancient and neo-Platonic thinking, is the most perfect number because it is both the sum and the product of its parts (1+2+3=6 and 1x2x3=6). Using examples ranging from the Mayans to Shakespeare, she shows how numbers have been considered feminine and masculine, holy and evil, lucky and unlucky."
    Content: "A highly respected scholar of Islamic culture, Annemarie Schimmel draws on her vast knowledge to paint a rich, cross-cultural portrait of the many meanings of numbers. Engaging and accessible, her account uncovers the roots of a phenomenon we all feel every Friday the thirteenth."--BOOK JACKET
    Additional Edition: Erscheint auch als Online-Ausgabe
    Former: Vorangegangen ist Endres, Franz C. Das Mysterium der Zahl
    Language: English
    Subjects: Mathematics
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    Keywords: Zahlensymbolik ; Kulturvergleich ; Ikonographie ; Zahlensymbolik
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  • 9
    Online Resource
    Online Resource
    Princeton, N.J. ; : Princeton University Press,
    UID:
    edocfu_9959226869802883
    Format: 1 online resource (774 p.)
    Edition: 60th anniversary ed. / with an introduction by Harold W. Kuhn /and an afterword by Ariel Rubinstein.
    ISBN: 1-283-85892-4 , 1-4008-2946-1
    Series Statement: Princeton classic editions
    Content: This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.
    Note: This ed. originally published: 2004. , Frontmatter -- , Contents -- , Introduction / , CONTENTS -- , Preface to First Edition. Preface to Second Edition / , Preface to Third Edition / , Technical Note -- , Acknowledgment -- , Chapter I. Formulation of the Economic Problem -- , Chapter II. General Formal Description of Games of Strategy -- , Chapter III. Zero-Sum Two-Person Games: Theory -- , Chapter IV. Zero-Sum Two-Person Games: Examples -- , Chapter V. Zero-Sum Three-Person Games -- , Chapter VI. Formulation of the General Theory, Zero-Sum n-Person Games -- , Chapter VII. Zero-Sum Four-Person Games -- , Chapter VIII. Some Remarks Concerning n≧ 5 Participants -- , Chapter IX. Composition and Decomposition of Games -- , Chapter X. Simple Games -- , Chapter XI. General Non-Zero-Sum Games -- , Chapter XII. Extension of the Concepts of Domination and Solution -- , Appendix: The Axiomatic Treatment of Utility -- , Afterword / , Reviews -- , Heads, I Win, and Tails, You Lose / , Big D / , Mathematics Of Games And Economics / , Theory Of Games / , Mathematical Theory of Poker is Applied to Business Problems / , A Theory of Strategy / , The Collaboration between Oskar Morgenstern and John von Neumann on the Theory of Games / , Index -- , CREDITS , Issued also in print. , English
    Additional Edition: ISBN 0-691-11993-7
    Additional Edition: ISBN 0-691-13061-2
    Language: English
    Subjects: Mathematics
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  • 10
    UID:
    edocfu_BV042522455
    Format: 1 Online-Ressource (xxxii, 739 Seiten).
    Edition: Sixtieth-anniversary edition
    ISBN: 978-1-4008-2946-0
    Series Statement: Princeton Classic Editions
    Note: Main description: This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-691-13061-3
    Language: English
    Subjects: Economics , Mathematics , Philosophy
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    Keywords: Spieltheorie ; Wirtschaftliches Verhalten ; Spieltheorie ; Wirtschaftswissenschaften ; Spieltheorie ; Wirtschaftstheorie ; Spieltheorie ; Wirtschaftsmathematik
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Morgenstern, Oskar 1902-1977
    Author information: Von Neumann, John 1903-1957
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