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9<HTMERB=Ejfige> Mathematics springer.com/NEWSonline J. Chaskalovic, Institut Jean le Rond d’Alembert, S. Chulkov, Ingosstrakh ONDD Credit Insurance, K. L. Chung, Stanford University, Stanford, CA, USA; University Pierre and Marie Curie, Paris, France; Moscow, Russia; A. Khovanskii, University of Toronto R. J. Williams, University of California at San Diego, O. H. Del Brutto, School of Medicine, Universidad Dept. Mathematics, Toronto, ON, Canada La Jolla, CA, USA Espiritu Santo - Ecuador, Guayaquil, Ecuador Geometry of the Semigroup Introduction to Stochastic Mathematical and Numerical Z_(≥0)^n and its Applications Integration Methods for Partial Differential to Combinatorics, Algebra and A highly readable introduction to stochastic inte- Equations Differential Equations gration and stochastic differential equations, this book combines developments of the basic theory Applications for Engineering Sciences Transl. English: S. Chulkov, Ingosstrakh ONDD Credit with applications. It is written in a style suitable Insurance, Moscow, Russia This self-tutorial offers a concise yet thorough for the text of a graduate course in stochastic introduction into the mathematical analysis of calculus, following a course in probability. Using approximation methods for partial differential Features the modern approach, the stochastic integral equation. A particular emphasis is put on finite 7 Unique collection of material on the top- is defined for predictable integrands and local element methods. The unique approach first sum- ic 7 Clear and as simple as possible presen- martingales; then It’s change of variable formula is marizes and outlines the finite-element mathemat- tation 7 Wide range of problems consid- developed for continuous martingales. Applica- ics in general and then in the second and major ered 7 Along with general theorems and tions include a characterization of Brownian part, formulates problem examples that clearly constructions their most important special cases motion, Hermite polynomials of martingales, the demonstrate the techniques of functional analysis are considered in detail Feynman–Kac functional and the Schrödinger via numerous and diverse exercises. equation. For Brownian motion, the topics of local Contents time, reflected Brownian motion, and time change Features I Geometry and combinatorics of semigroups.- 1 are discussed. 7 Self-learning and self-tutorial pedagogi- Elementary geometry of the semigroup Zn&gt;0.- cal book 7 Provides students of engineering 2 Properties of an ordered semigroup.- 3 Hilbert Features disciplines and mathematics the mathematical functions and their analogues.- II Applications: 4 7 Affordable, softcover reprint of a classic text- basis of systems of partial differential equa- Kouchnirenko`s theorem on number of solu- book 7 Authors' exposition consistently chooses tions 7 Uses a unique teaching method which tions of a polynomial system of equations. On the clarity over brevity 7 Includes an expanded col- explains the analysis using exercises and detailed Grothendieck groups of the semigroup of finite lection of exercises from the first edition solutions 7 Enables active learning subsets of Zn and compact subsets of Rn.- 5 Dif- ferential Grobner bases and analytical theory of Contents Contents partial differential equations.- 6 On the Conver- 1 Preliminaries.- 2 Definition of the Stochastic Introduction to functional analytical methods of gence of Formal Solutions of a System of Partial Integral.- 3 Extension of the Predictable Inte- partial differential equations.- The finite element Differential Equations.- A Hilbert and Hilbert- grands.- 4 Quadratic Variation Process.- 5 The Ito method.- Variational Formulations of elliptic Samuel polynomials and Partial Differential Equa- Formula.- 6 Applications of the Ito Formula.- 7 boundary problems.- Finite Elements and dif- tions.- References Local Time and Tanaka’s Formula.- 8 Reflected ferential Introduction to functional analytical Brownian Motions.- 9 Generalization Ito Formula, methods of partial differential equations.- The Fields of interest Change of Time and Measure.- 10 Stochastic Dif- finite element method.- Variational Formulations Geometry; Algebra; Combinatorics ferential Equations.- References.- Index. of elliptic boundary problems. […] Target groups Field of interest Fields of interest Graduate Probability Theory and Stochastic Processes Numerical Analysis; Continuum Mechanics and Discount group Mechanics of Materials; Partial Differential Equa- Target groups tions Professional Non-Medical Research Target groups Discount group Research Professional Non-Medical Discount group Professional Non-Medical Due November 2013 Due January 2014 Due October 2014 2nd ed. 2014. XVII, 277 p. 10 illus. (Modern 2014. XI, 329 p. 38 illus. Hardcover 2014. Approx. 120 p. 8 illus. Hardcover Birkhäuser Classics) Softcover 7 $79.99 7 $49.95 7 $69.99 ISBN 978-3-319-03562-8 ISBN 978-3-642-30987-8 ISBN 978-1-4614-9586-4 9<HTODMJ=adfgci> 9<HTOGPC=dajihi> 9<HTMERB=ejfige> 28 News 12/2013 Mathematics H. M. Edwards, New York University, Courant M. Emmer, Sapienza University of Rome, Rome, Italy A. Freed, Saginaw Valley State University, Clifford H. Institute, New York, NY, USA (Ed) Spicer Endowed Chair, University Center, MI, USA Advanced Calculus Imagine Math 3 Soft Solids A Differential Forms Approach Between Culture and Mathematics A Primer to the Theoretical Mechanics of Materials In a book written for mathematicians, teachers Imagine mathematics, imagine with the help of of mathematics, and highly motivated students, mathematics, imagine new worlds, new geom- This textbook presents the physical principles Harold Edwards has taken a bold and unusual etries, new forms. This volume in the series pertinent to the mathematical modeling of soft approach to the presentation of advanced calculus. Imagine Math casts light on what is new and inter- materials used in engineering practice, including He begins with a lucid discussion of differential esting in the relationships between mathematics, both man-made materials and biological tissues. forms and quickly moves to the fundamental theo- imagination, and culture. It is intended for seniors and masters-level gradu- rems of calculus and Stokes’ theorem. The result is ate students in engineering, physics or applied Features genuine mathematics, both in spirit and content, mathematics. It will also be a valuable resource for and an exciting choice for an honors or graduate 7 A unique book with many papers on the vari- researchers working in mechanics, biomechanics course or indeed for any mathematician in need of ous aspects of mathematics and culture 7 Papers and other fields where the mechanical response of a refreshingly informal and flexible reintroduction by experts in different topics, with a relevant soft solids is relevant. Soft Solids: A Primer to the to the subject. For all these potential readers, the numbers of images 7 An interesting story that Theoretical Mechanics of Materials is divided into author has made the approach work in the best continues the series of math and culture two parts. tradition of creative mathematics. This afford- Contents able softcover reprint of the 1994 edition presents Features Science Fiction, Art and the Fourth Dimension.- the diverse set of topics from which advanced 7 Builds upon four experiments through each From Modernity to Immortality: Art and Math- calculus courses are created in beautiful unifying chapters and includes three additional unsolved ematics in the Twenties.- Geometrical Models and generalization. The author emphasizes the use experiments 7 Presents a superior new theory Imaginations.- From Sinisgalli to Hiroshi Sugi- of differential forms in linear algebra, implicit of non-linear elasticity describing soft tissues moto.- Mathematical Narratives and the Surrealist differentiation in higher dimensions using the and synthetic elastomers 7 Viscoelasticity is Tradition.- Anxious Geometries.- Pasta By Design: calculus of differential forms, and the method of presented from a physics perspective The New Geometries of Pasta.- Photos, Objects Lagrange multipliers in a general but easy-to-use and 3D Reconstructions.- Geometry, Numbers formulation. Contents & Diagrams in the New York Art Scene around Part I: Continuum Fields.- 1 Kinematics.- 2 Defor- Features 1960.- The Islands of Benoît Mandelbrot: On the mation.- 3 Strain.-4 Stress.- Part II: Constitutive 7 Affordable reprint of a classic textbookPresents relationship between abstract reasoning and visual Equations.- 5 Explicit Elasticity.-6 Implicit Elastic- advanced calculus using the theory of differential imagination.- Fractals and Nervous System.- New ity.- 7 Viscoelasticity.- Appendices.- A Linear forms 7 Makes modern mathematics accessible Mathematics and Architecture.- In search of the Algebra.- B Covariant and Contravariant Issues: to students via physical intuition and applications Lost Roots.- Probabilities and Traps of Intuition.- Configuration Physics.- C Kronecker Prod- Sand grains and Earthquakes.- Henry Moore and ucts.- D General Linear ODE Solver.- E Solver for Contents Strings.- Fluid Architecture.- Sagrada Familia.- Convolution Integrals.- F Solver for the Mittag- Constant Forms.- Integrals.- Integration and Fragmens of an Existentialist Mathematics.- Liv- Leer Function.- Bibliography.- Index. Differentiation.- Linear Algebra.- Differential ing numbers Calculus.- Integral Calculus.- Practical Methods of Fields of interest Solution.- Applications.- Further Study of Limits.- Fields of interest Functional
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