Diese Einführung besticht durch zwei ungewöhnliche Aspekte: Sie gibt einen Einblick in die Mathematik als Bestandteil unserer Kultur und sie vermittelt die Hintergründe der Mathematik vom Schulstoff ausgehend bis zum Niveau von Mathematikvorlesungen im ersten Studienjahr.
The classical theories of Linear Elasticity and Newtonian Fluids, though trium- phantly elegant as mathematical structures, do not adequately describe the defor- mation and flow of most real materials.
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software.
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software.
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software.
Aus den Besprechungen: "Dies ist ein Lehrbuch, wie ich es mir als Student gewünscht hätte: Nahezu jeder Begriff wird vor seiner Einführung ausführlich motiviert, man findet eine Unmenge (461 Stück!
Aus den Besprechungen: "Ein Lehrbuch, wie ich es mir als Student gewünscht hätte: Nahezu jeder Begriff wird vor seiner Einführung ausführlich motiviert, man findet eine Unmenge.
Aus den Besprechungen: "Ein Lehrbuch, wie ich es mir als Student gewünscht hätte: Nahezu jeder Begriff wird vor seiner Einführung ausführlich motiviert, man findet eine Unmenge.
Dieser zweite Band Analysis, der nunmehr in dritter korrigierter Auflage vorliegt, behandelt die Differential- und Integralrechnung im Rn sowie Differentialgleichungen und Elemente der Funktionentheorie.
Dieser zweite Band Analysis, der nunmehr in vierter, überarbeiteter Auflage vorliegt, behandelt die Differential- und Integralrechnung im Rn sowie Differentialgleichungen und Elemente der Funktionentheorie.
Aus den Besprechungen: "Wodurch unterscheidet sich das hiermit begonnene Lehrwerk der Analysis von zahlreichen anderen, zum Teil im gleichen Verlag erschienenen, exzellenten Werken dieser Art?
Dieses Buch ist entstanden aus Vorlesungen, die ich zum Teil in Basel und in Stanford, dann wiederholt an der Eidgenössischen Technischen Hochschule in Zürich gehalten habe.
Aus den Besprechungen: "Wodurch unterscheidet sich das hiermit begonnene Lehrwerk der Analysis von zahlreichen anderen, zum Teil im gleichen Verlag erschienenen, exzellenten Werken dieser Art?
Das vorliegende Lehrbuch ist als Leitfaden für eine zwei- oder dreisemestrige Analysis-Vorlesung gedacht und richtete sich an Studierende der Mathematik und Physik sowie an mathematisch interessierte Studierende der Informatik und der exakten Wissenschaften.
VI methods are, however, immediately applicable also to non-linear prob- lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future.
This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students.
Over the past decades, the Boundary Element Method has emerged as a ver- satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method.
The book presents new clustering schemes, dynamical systems and pattern recognition algorithms in geophysical, geodynamical and natural hazard applications.
The second edition of this "e;selecta"e; of my work on the stability of matter was sold out and this presented an opportunity to add some newer work on the quantum- mechanical many-body problem.
The (mathematical) heroes of this book are "e;perfect proofs"e;: brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory.
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics.
The present book relies on various editions of my earlier book "e;Nonlinear Economic Dynamics"e;, first published in 1989 in the Springer series "e;Lecture Notes in Economics and Mathematical Systems"e;, and republished in three more, successively revised and expanded editions, as a Springer monograph, in 1991, 1993, and 1997.
In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints.
High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now.
obtained are still severely limited to low Reynolds numbers (about only one decade better than direct numerical simulations), and the interpretation of such calculations for complex, curved geometries is still unclear.
In the course of over thirty years of research in various fields of physics and teaching experimental physics to undergraduate and graduate students of physics, mathematics, electrical engineering, chemistry and natural sciences I missed an introductory comprehensive book on the mathematics of linear and nonlinear oscillations and waves from the point of view of physicists and engineers.
The first edition of "e;The Stability of Matter: From Atoms to Stars"e; was sold out after a time unusually short for a selecta collection and we thought it ap- propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "e;' Z and for each of the domains 4 3 (i) B N 1 , 4 3 (ii) B "e;' N 1 , 4 3 3 (iii) N 1 B N , 3 (iv) B "e;' N , 3 (v) B N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("e;quantum dots"e;) the situation is somewhat simpler, one has to distinguish only (i) B N, (ii) B "e;'N,
