Tensors, Differential Forms, and Variational Principles


Book Description

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.




Integral, Measure and Derivative


Book Description

This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.




An Introduction to the Mathematics of Money


Book Description

This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.







Fundamentals of Physics


Book Description




Differential Equations and Linear Algebra (Classic Version)


Book Description

For sophomore-level courses in Differential Equations and Linear Algebra. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Extensively rewritten throughout, the 2nd Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors' consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations - and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).




200 Puzzling Physics Problems


Book Description

This book will strengthen a student's grasp of the laws of physics by applying them to practical situations, and problems that yield more easily to intuitive insight than brute-force methods and complex mathematics. These intriguing problems, chosen almost exclusively from classical (non-quantum) physics, are posed in accessible non-technical language requiring the student to select the right framework in which to analyse the situation and decide which branches of physics are involved. The level of sophistication needed to tackle most of the two hundred problems is that of the exceptional school student, the good undergraduate, or competent graduate student. The book will be valuable to undergraduates preparing for 'general physics' papers. It is hoped that even some physics professors will find the more difficult questions challenging. By contrast, mathematical demands are minimal, and do not go beyond elementary calculus. This intriguing book of physics problems should prove instructive, challenging and fun.




Probability and Statistics for Engineering and the Sciences


Book Description

This market-leading text provides a comprehensive introduction to probability and statistics for engineering students in all specialties. This proven, accurate book and its excellent examples evidence Jay Devore’s reputation as an outstanding author and leader in the academic community. Devore emphasizes concepts, models, methodology, and applications as opposed to rigorous mathematical development and derivations. Through the use of lively and realistic examples, students go beyond simply learning about statistics-they actually put the methods to use. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.




Becoming Europe


Book Description

“We’re becoming like Europe.” This expression captures many Americans’ sense that something has changed in American economic life since the Great Recession’s onset in 2008: that an economy once characterized by commitments to economic liberty, rule of law, limited government, and personal responsibility has drifted in a distinctly “European” direction. Americans see, across the Atlantic, European economies faltering under enormous debt; overburdened welfare states; governments controlling close to fifty percent of the economy; high taxation; heavily regulated labor markets; aging populations; and large numbers of public-sector workers. They also see a European political class seemingly unable—and, in some cases, unwilling—to implement economic reform, and seemingly more concerned with preserving its own privileges. Looking at their own society, Americans are increasingly asking themselves: “Is this our future?” In Becoming Europe, Samuel Gregg examines economic culture—the values and institutions that inform our economic priorities—to explain how European economic life has drifted in the direction of what Alexis de Tocqueville called “soft despotism,” and the ways in which similar trends are manifesting themselves in the United States. America, Gregg argues, is not yet Europe; the good news is that economic decline need not be its future. The path to recovery lies in the distinctiveness of American economic culture. Yet there are ominous signs that some of the cultural foundations of America’s historically unparalleled economic success are being corroded in ways that are not easily reversible—and the European experience should serve as the proverbial canary in the coal mine.