Book picks similar to
Number Theory Through Inquiry (Maa Textbooks) (Mathematical Association of America Textbooks) by David C. Marshall
math
mathematics
21st-century
all-the-math
Engineering Economy
William G. Sullivan - 1999
Sullivan Elin M. Wicks C. Patrick Koelling A succinct job description for an engineer consists of just two words: problem solver. Broadly speaking, engineers use knowledge to find new ways of doing things economically. Engineering design solutions do not exist in a vacuum, but within the context of a business opportunity. Truly, every problem has multiple solutions, so the question is, “How does one rationally select the design solution with the most favorable economic result?” The answer to this question can also be put forth in two words: engineering economy. This field of engineering provides a systematic framework for evaluating the economic aspects of competing design solutions. Just as engineers model the stress on a support column or the thermodynamic properties of a steam turbine, they must also model the economic impact of their engineering recommendations. Engineering economy is the subject of this textbook. Highlights of Engineering Economy, Fourteenth Edition: × Fifty percent of end-of-chapter problems are new or revised. × A bank of algorithmically generated test questions is available to adopting instructors. × Fundamentals of Engineering (FE) exam-style questions are included among the end-of-chapter problem sets. × Spreadsheet models are integratedthroughout. × An appendix on the basics of accounting is included in Chapter 2. × Chapter 3 on Cost Estimation appears early in the book. × An appendix on techniques for using Excel in engineering economy is available for reference. × Numerous comprehensive examples and case studies appear throughout the book. × Extended learning exercises appear in most chapters. × Personal finance problems are featured in most chapters. × Many pointers to relevant Web sites are provided. ISBN-13: 978-0-13-614297-3 ISBN-10: 0-13-614297-4
Elliptic Tales: Curves, Counting, and Number Theory
Avner Ash - 2012
The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.
Schaum's Outline of Differential Equations
Richard Bronson - 2006
Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.
Introduction to the Theory of Computation
Michael Sipser - 1996
Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.
Linear Algebra
Kenneth M. Hoffman - 1971
Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.
Causal Inference in Statistics: A Primer
Judea Pearl - 2016
Judea Pearl presents a book ideal for beginners in statistics, providing a comprehensive introduction to the field of causality. Examples from classical statistics are presented throughout to demonstrate the need for causality in resolving decision-making dilemmas posed by data. Causal methods are also compared to traditional statistical methods, whilst questions are provided at the end of each section to aid student learning.
Networks: An Introduction
M.E.J. Newman - 2010
The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on a large scale, and the development of a variety of new theoretical tools has allowed us to extract new knowledge from many different kinds of networks.The study of networks is broadly interdisciplinary and important developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.Subjects covered include the measurement and structure of networks in many branches of science, methods for analyzing network data, including methods developed in physics, statistics, and sociology, the fundamentals of graph theory, computer algorithms, and spectral methods, mathematical models of networks, including random graph models and generative models, and theories of dynamical processes taking place on networks.
Organization Development: The Process Of Leading Organizational Change
Donald L. Anderson - 2009
Incorporating OD ethics and values into each chapter, Donald L. Anderson provides discussion of the real-world application of these theoretical ideas. In-depth case studies that follow major content chapters allow students to immediately apply what they have learned. In today's challenging environment of increased globalization, rapidly changing technologies, economic pressures, and expectations in the contemporary workforce, this book is an essential tool.
Artificial Intelligence: A Modern Approach
Stuart Russell - 1994
The long-anticipated revision of this best-selling text offers the most comprehensive, up-to-date introduction to the theory and practice of artificial intelligence. *NEW-Nontechnical learning material-Accompanies each part of the book. *NEW-The Internet as a sample application for intelligent systems-Added in several places including logical agents, planning, and natural language. *NEW-Increased coverage of material - Includes expanded coverage of: default reasoning and truth maintenance systems, including multi-agent/distributed AI and game theory; probabilistic approaches to learning including EM; more detailed descriptions of probabilistic inference algorithms. *NEW-Updated and expanded exercises-75% of the exercises are revised, with 100 new exercises. *NEW-On-line Java software. *Makes it easy for students to do projects on the web using intelligent agents. *A unified, agent-based approach to AI-Organizes the material around the task of building intelligent agents. *Comprehensive, up-to-date coverage-Includes a unified view of the field organized around the rational decision making pa
Classical Mechanics
John R. Taylor - 2003
John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his introduction to Error Analysis a best-selling text.
Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry
George F. Simmons - 1981
. . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.
The Official Guide for GMAT Quantitative Review
Graduate Management Admission Council (GMAC) - 2005
This work focuses on the maths skills necessary to pass the GMAT, with nearly 300 questions and explanations on subjects such as arithmetic, algebra, geometry and data sufficiency.
The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation
Gary William Flake - 1998
Distinguishing agents (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.
Development Through Life: A Psychosocial Approach
Barbara M. Newman - 1975
Newman and Newman address physical, intellectual, social, and emotional growth in all life stages, focusing on the idea that development results from the interdependence of these areas at every stage, and placing special emphasis on optimal development through life. The text is noted for its clear organization, providing instructors and students with a coherent structure for tracing development over the life span. The text integrates theory and research with application, making the rich material of development useful for emerging professionals. Each life stage chapter ends with an applied topic that helps students connect the developmental themes of that stage with critical societal issues. The use of case material throughout offers a way to balance information about general patterns of development with information about individual differences and life stories. Human diversity is introduced in the very first chapter and is a continuing theme, reflected in research coverage, theoretical analysis, illustrations, and boxes. Through a variety of pedagogical strategies including the illustrations and captions, points for further reflection, and case analysis, the Newmans have created a text that encourages the reader to engage in ongoing integration and critical analysis.