Modern Engineering Practice
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Separation of Variables and Wiener-Hopf Techniques
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On Probability
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Mental Arithmetic
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Treatise on Hydrodynamics, With Numberous Examples; Volume 2
The Normal Elementary Geometry
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Hyperbolic Functions
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Introductory Modern Geometry of Point, Rsy, and Circle
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A Treatise on Plane Trigonometry
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College Algebra With Applications
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History of the Theory of Numbers; Volume 2
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The Elements of Euclid
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Axiomatics
The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century. Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back into the conversation about midcentury American intellectual thought. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics. For American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. As mathematics changed, so did the meaning of mathematization. Axiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As Steingart's history ably demonstrates, mathematics is the social activity in which styles of truth--here, abstraction--become synonymous with ways of knowing.
Plane Geometry
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Separation of Variables and Wiener-Hopf Techniques
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Observations On Reversionary Payments
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Elementary Solid Geometry and Mensuration
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Mathematics for Electrical Students
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Optimal Control of Partial Differential Equations
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance.The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes ofOCPs that stand behind the advanced applications mentioned above.Starting from simple problems that allow a "hands-on" treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text.The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.
A Short Course in the Theory of Determinants
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Conic Sections
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Treatise on Hydrodynamics, With Numberous Examples; Volume 2
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The Method of Fluxions Both Direct and Inverse
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The Substitution of Similars, the True Principle of Reasoning, Derived From a Modification of Aristo
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Exercise Book in Algebra
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Orders of Infinity, the ’infinitärcalcül’ of Paul Du Bois-Reymond
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An Introductory Algebra
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A Manual of Simple Engineering Mathematics, Covering the Whole Field of Direct Current Calculations,
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Artificial Intelligence Logic and Applications
This book constitutes refereed proceedings of the 2nd International Conference on Artificial Intelligence Logic and Applications 2022 held in Shanghai, China from August 26-28, 2022.The 20 full papers presented in this volume were carefully reviewed and selected from a total of 27 submissions. The papers in the volume are organised according to the following topical headings: program logic; fuzzy logic; applications; author index.
Intermarriage in New York City
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An Introduction to the Theory and Practice of Plain and Spherical Trigonometry
A Short Course in the Theory of Determinants
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Statistical Methods Applied to Education; a Textbook for Students of Education in the Quantitative Study of School Problems
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Mathematics for Electrical Students
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Napier Tercentenary Memorial Volume
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Hyperbolic Functions
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