New Books List

Publisher:

Mineola, New York : Dover Publications, Inc., 2019.

Call Number:

530.12 S839M 2019

Pages:

xvi, 310 pages ; 23 cm

Subject:

Mathematics and Statistics

Summary:
This original work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics.--
Publisher:

Boca Raton : CRC Press, Taylor & Francis Group, 2020.

Call Number:

512.2 E278E 2020

Pages:

x, 282 pages : illustrations ; 24 cm.

Subject:

Mathematics and Statistics

Summary:
An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.
Publisher:

Mineola, New York : Dover Publications, Inc., 2019.

Call Number:

515.73 E937A 2019

Pages:

x, 336 pages : illustrations ; 23 cm.

Subject:

Mathematics and Statistics

Summary:
"This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. Topics include analytic functions and their properties, singular points and expansion in series, conformal mappings, the theory of residues, the Laplace transform, harmonic and subharmonic functions, extremal problems, distribution of values, and more. Marat Andreevich Evgrafov (1926-1997) was a Russian-Soviet mathematician, on the faculty of the Moscow Physical-Technical Institute. He is also the author of Asymptotic Estimates and Entire Functions. Translated from the Russian by Scripta Technica, Inc. Translated, edited by Bernard R. Gelbaum."--
Publisher:

Mineola, New York : Dover Publications, Inc., 2018.

Call Number:

515.35 L221D 2018

Pages:

372 pages : illustrations ; 22 cm.

Subject:

Mathematics and Statistics

Summary:
This concise applications-oriented text is intended for undergraduate students in engineering, mathematics, and other areas of science. The first chapters focus on solutions of first order equations, linear equations with constant coefficients, and simultaneous equations and reducible equations. Subsequent chapters explore the method of solution by infinite series and the more important special functions of mathematical physics. The treatment examines the solution of partial differential equations as well as numerical methods of solution, including that of relaxation. Readers also receive an introduction to the theory of nonlinear differential equations. Nearly 900 worked examples and exercises include complete solutions, making this volume ideal for self-study as well as an excellent classroom text.
Publisher:

Tokyo ; Springer, 2015.

Call Number:

515.2433 F961H 2015

Pages:

xi, 465 pages ; 24 cm.

Subject:

Mathematics and Statistics

Summary:
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that the group is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book
Publisher:

Mineola, New York : Dover Publications, Inc., 2006.

Call Number:

511.42 S817I 2006

Pages:

vii, 248 pages ; 22 cm.

Subject:

Mathematics and Statistics

Summary:
In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation employs only formulas for which it is possible to calculate error limits. Subjects include displacement symbols and differences, divided differences, formulas of interpolation, factorial coefficients, numerical differentiation, and construction of tables. Additional topics include inverse interpolation, elementary methods of summation, repeated summation, mechanical quadrature, numerical integration of differential equations, the calculus of symbols, interpolation with several variables, and mechanical cubature. 1950 edition. Unabridged republication of the second edition published by Chelsea Publishing Company, New York, 1950.
Publisher:

Mineola, New York : Dover Publications, Inc., 2019.

Call Number:

512.5 S849I 2019

Pages:

xiii, 281 pages : illustrations ; 23 cm.

Subject:

Mathematics and Statistics

Summary:
"Introductory text on linear algebra, which stresses finite dimensional vector spaces and linear transformations. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. Extensive supplementary material is presented in appendixes. This book is intended for undergraduate majors in mathematics, applied mathematics, chemistry and physics. The only prerequisite is a first course in calculus"--
Publisher:

Mineola, New York : Dover Publications, Inc., 2017.

Call Number:

510 T617M 2017

Pages:

185 pages : illustrations ; 22 cm.

Subject:

Mathematics and Statistics

Summary:
"A first-class mathematician's lucid, unhurried account of the science of numbers from arithmetic through the calculus." — James R. Newman, The World of Mathematics. This highly accessible introduction to mathematics is geared toward readers seeking a firm grasp of the essentials of mathematical theory and practice. The treatment also offers a concise outline of mathematical history and a clearer notion of why mathematicians do what they do. Author E. C. Titchmarsh, who served for many years as Savilian Professor of Geometry at Oxford University, begins with counting and the fundamentals of arithmetic. He guides readers through the complexities of algebra, fractions, geometry, irrational numbers, logarithms, infinite series, complex numbers, quadratic equations, trigonometry, functions, and integral and differential calculus. Titchmarsh's graceful, fluid style helps make complicated topics easier to grasp, and his inclusion of numerous examples will prove especially helpful to readers with little or no background in mathematics. Reprint of the Doubleday & Company, Inc., Garden City, New York, 1959 edition.
Publisher:

Warsaw : De Gruyter Open, 2017.

Call Number:

510 T772 2017

Pages:

117 pages : illustrations ; 25 cm.

Subject:

Mathematics and Statistics

Summary:
The aim of this volume is to present the state of the art in the mathematical analysis of transport and mixing phenomena in fluids and associated problems. It supplements current literature on the subject with a unique blend of contributions that touch upon both theoretical as well as modeling questions and showcase a variety of techniques, from the analysis of partial differential equations, to harmonic analysis, to computational methods. The volume contains the expanded notes from lectures by leading experts in the field at the Summer School "Transport, Fluids, and Mixing" held in Levico Terme, Italy, July 19-24, 2015