December 16, 2016
Textbook - 408 Pages
ISBN 9781498777681
Series: Textbooks in Mathematics
Features many new exercises and examples
Streamlines presentation to address needs of a wider range of students
Includes table of contents that reflects the more typical course structure
The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations.
Number Systems. Sequences. Series of Numbers. Basic Topology. Limits and Continuity of Functions. Differentiation of Functions. The Integral. Sequences and Series of Functions. Elementary Transcendental Functions. Differential Equations. Introduction to Harmonic Analysis. Functions of Several Variables. Advanced Topics. Normed Linear Spaces. Appendix I: Elementary Number Systems. Appendix II: Logic and Set Theory. Appendix III: Review of Linear Algebra. Table of Notation. Glossary. Bibliography. Index.
December 19, 2016
Textbook - 848 Pages - 50 B/W Illustrations
ISBN 9781498736053
Series: Textbooks in Mathematics
Complete coverage of Ordinary Differential Equations for one or two semester course
Shows students how to effectively use MATLAB, Maple, and Mathematica in practice, assuming no prior knowledge of the software packages
Adds two new chapters to current text: Orthogonal Functions and Boundary Value Problems and Partial Differential Equations
Covers essential linear algebra topics, such as eigenvectors, bases, and transformations, to improve students’ understanding of differential equations
Includes numerous problems of varying levels of difficulty for applied and pure math majors as well as for engineers and other nonmathematicians
A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLABR, MathematicaR, and Maple?. This second edition reflects the feedback of students and professors who used the first edition in the classroom. Thiis version adds two new chapters to the current text.
Chapter 9: Orthogonal Functions and Boundary Value Problems 9.1 Inner Products and Orthogonality 9.2 Fourier Series 9.3 Even, Odd, and Discontinuous Functions 9.4 Sturm-Liouville Theory 9.5 Generalized Fourier Series 9.6 Two-Point Boundary Value Problems Chapter 9 Review, Computer Lab, Projects Chapter 10: Partial Differential Equations 10.1 Separable Linear Partial Differential Equations 10.2 Heat Equation 10.3 Wave Equation 10.4 Laplace Equation 10.5 Non-Homogeneous Boundary Conditions 10.6 Non-Cartesian Coordinate Systems Chapter 10 Review, Computer Lab, Projects
EMS Tracts in Mathematics Vol. 25
ISBN print 978-3-03719-166-8,
September 2016, 243 pages, hardcover, 17 x 24 cm.
The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups, and can favourably be extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ‘coarse’ refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups.
Basic results in the subject are exposed with complete proofs, others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as p-adic fields, isometry groups of various metric spaces, and, last but not least, discrete group themselves.
The book is aimed at graduate students and advanced undergraduate students, as well as mathematicians who wish some introduction to coarse geometry and locally compact groups.
Keywords: Locally compact groups, left-invariant metrics, σ
-compactness, second countability, compact generation, compact presentation, metric coarse equivalence, quasi-isometry, coarse connectedness, coarse simple connectedness, growth, amenability
The author gives a systematic approach to compactness properties or essential compactness properties (spectral gaps) for substochastic semigroups in L1
induced by singular potentials. This construction is based in particular on new a priori estimates peculiar to L1 spaces and on local weak compactness arguments. Various applications to convolution semigroups, weighted Laplacians, and Witten Laplacians on 1-forms are given.
Graduate students and research mathematicians interested in compactness properties.
Advanced Studies in Pure Mathematics, Vol.70
2016年9月発刊 税込価格 16400円 ／ 送料 350円
1980年頃に代数多様体の端射線と極小モデルが現れて以来，代数幾何学において途方もなく大きな発展があった．このことを念頭において2011年6月に京都大学数理解析研究所で開催された研究集会の報告集である．この年に還暦を迎えた森重文教授の業績を紹介する概説論文と13編の研究論文からなり，著者は次の通りである．J. Kollar, L. Ein--石井志保子--M. Musta??, S. Kovacs--K. Schwede, D. Greb--S. Kebekus--T. Peternell, 川ノ上帆--松木謙二, A-S. Kaloghiros--A. Kuronya--V. Lazi?, J-M. Hwang--小木曽啓示, M. Lehn--並河良典--Ch. Sorger--D. van Straten, 藤野修, J. Chen, C. Hacon--C. Xu, 向井 茂, Y. Prokhorov--M. Reid.
Oxford Graduate Texts in Mathematics
Paperback
Published: 27 October 2016 (Estimated)
320 Pages
234x156mm
ISBN: 9780198790433
Suitable for use in self-study when approaching the subject for the first time.
The universality of the method of outer measure in the construction of measures is emphasized.
A chapter on real functions of one or several real variables studies in detail those relevant properties of functions which are frequently used in analysis proper or in other disciplines. Integral formula in polar coordinates is given a complete proof and is applied to give a brief account of potential integral.
The all-powerful Hahn-Banach theorem in linear analysis is derived from a separation principle which is intuitively more satisfactory.
The book is written with the recognition that aside from its well-known application to mathematical physics, Real Analysis is indispensable for probability theory which is now a very important discipline in modern science.
A glance of measure and integration in Chapter 2 shows quickly the general feature of integration based on measure.
1: Introduction and Preliminaries
2: A Glimpse of Measure and Integration
3: Construction of Measures
4: Functions of Real Variables
5: Basic Principles of Linear Analysis
6: Lp Spaces
7: Fourier Integral and Sobolev Space Hs
8: Postscript
Hardback
Published: 05 January 2017 (Estimated)
220 Pages
234x156mm
ISBN: 9780199666478
A new theory on the field of inductive logic
Simultaneously serves as an introduction to the topic
The material is well suited to being delivered as a series of lectures to students of philosophy, mathematics or computing
Accessible to a variety of audiences
1: Classical Inductive Logic
2: Logic and Probability
3: Combining Probability and Logic
4: Carnap's Programme
5: From Objective Bayesian Epistemology to Inductive Logic
6: Logical Entailment
7: Inductive Entailment
8: Criticisms of Inductive Logic
9: Justifcation
10: Conclusion