Book picks similar to
Foundations of Analysis by Edmund Landau
mathematics
math
non-fiction
maths
Learning to Think Things Through: A Guide to Critical Thinking Across the Curriculum
Gerald M. Nosich - 2000
KEY TOPICS: A combination of instruction and exercises shows them how to use critical thinking to become active learners rather than passive recipients of information, more fully appreciate the power of the discipline they are studying, to see its connections to other fields and to their day-to-day lives, and to maintain an overview of the field so they can see the parts in terms of the whole . The model of critical thinking (used throughout the book) is in terms of the elements of reasoning, standards, and critical thinking processes. This model is well-suited to thinking through any problem or question. The 4th edition reflects streamlined writing, with changes and substantial edits on virtually every page. MARKET: For Freshman Orientation or Critical Thinking courses as well as a supplementary text for use in any subject-matter at any educational level.
The Power of Critical Thinking: Effective Reasoning about Ordinary and Extraordinary Claims
Lewis Vaughn - 2004
Author Lewis Vaughn offers comprehensive treatments of core topics, including an introduction to claims and arguments, discussions of propositional and categorical logic, and full coverage of the basics of inductive reasoning. Building on this solid foundation, he also delves into areas neglected by other texts, adding extensive material on "inference to the best explanation" and on scientific reasoning; a thorough look at the evaluation of evidence and credibility; and a chapter on the psychological and social factors that can impede critical thinking. Additional notable elements are a chapter on moral reasoning, advice on how to evaluate Internet sources, and guidelines for evaluating occult, paranormal, or supernatural claims. The Power of Critical Thinking, Second Edition, integrates many pedagogical features including hundreds of diverse exercises, examples, and illustrations; progressive, stand-alone writing modules; numerous text boxes; step-by-step guidelines for evaluating claims, arguments, and explanations; a glossary of important terms; and many reminders, summaries, and review notes throughout. The text is supplemented by a companion website at www.oup.com/us/criticalthinking (offering a student study guide and more), and an Instructor's Manual with Test Questions (available both in print and on a CD). This unique text features a modular structure that allows instructors to teach the chapters in almost any order. Written in a student-friendly style and enhanced by humor where appropriate, it is ideal for courses in critical thinking, introduction to logic, informal logic, argumentative writing, and introduction to argumentation. New to the Second Edition * Full-color throughout and an expanded art program (37 more photos and illustrations) * A new writing module--an annotated sample student paper--and five additional essays for analysis * A new section on evaluating news reports and advertising * Timely discussions of intelligent design and population (nonintervention) studies * Expanded coverage of experts and authors and reasons to doubt their reliability * More "Field Problems" and exercise questions * Chapter objectives and key terms with definitions for each chapter
The Essential John Nash
John F. Nash - 2001
Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949.From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness.In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography.The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.
Mathematical Statistics with Applications (Mathematical Statistics (W/ Applications))
Dennis D. Wackerly - 1995
Premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps readers discover the nature of statistics and understand its essential role in scientific research.
An Introduction to Probability Theory and Its Applications, Volume 1
William Feller - 1968
Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.
Elementary Differential Equations
Earl D. Rainville - 1962
Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.
Advanced Engineering Mathematics
Erwin Kreyszig - 1968
The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.
A Concise Introduction to Logic [with CD-ROM]
Patrick J. Hurley - 1972
Inside: Logic Resource CD-ROM
Algebra
Michael Artin - 1991
Linear algebra is tightly integrated into the text.
Vedic Mathematics
Jagadguru S. Maharaja - 1992
It relates to the truth of numbers and magnitudes equally to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics.
