Quantitative Reasoning: Understanding the Mathematical Patterns of Nature

Science & Math

Greenleaf, Frederick P.

Mathematics

McGraw-Hill Primis Custom Pub

<p>Part of an integrated math/science curriculum developed at New York University for non-science majors. Covers how to measure things in the real world, growth and decay phenomena, scaling transformations,introductory probability and statistics. Includes readings.</p>

Quantitative Reasoning: Understanding the Mathematical Patterns of Nature, Rev.

Primis

Invariant Means on Topological Groups (Mathematics Studies)

Van Nostrand Reinhold Inc.,U.S.

There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.

Representations of Nilpotent Lie Groups and their Applications: Volume 1, Part 1, Basic Theory and Examples (Cambridge Studies in Advanced Mathematics, Series Number 18)

Corwin, Laurence

Cambridge University Press

Introduction to complex variables

W.B.SAUNDERS COMPANY

<p>This is a two-volume set. Both volumes focus on on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book The first three chapters of thie second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less self-contained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important. The second volume provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved .</p>

Linear Algebra (Courant Lecture Notes, 29-30)

Marques, Sophie

Amer Mathematical Society

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Books by Greenleaf, Frederick P.