Algebra
Israel M. Gelfand - 1992
This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Computers and Intractability: A Guide to the Theory of NP-Completeness
Michael R. Garey - 1979
Johnson. It was the first book exclusively on the theory of NP-completeness and computational intractability. The book features an appendix providing a thorough compendium of NP-complete problems (which was updated in later printings of the book). The book is now outdated in some respects as it does not cover more recent development such as the PCP theorem. It is nevertheless still in print and is regarded as a classic: in a 2006 study, the CiteSeer search engine listed the book as the most cited reference in computer science literature.
Principles of Environmental Science: Inquiry and Applications
William P. Cunningham - 2001
This book is intended for use in a one- or two-semester course in environmental science, human ecology, or environmental studies at the college or advanced placement high school level.
Field and Wave Electromagnetics
David K. Cheng - 1982
These include applications drawn from important new areas of technology such as optical fibers, radome design, satellite communication, and microstrip lines. There is also added coverage of several new topics, including Hall effect, radar equation and scattering cross section, transients in transmission lines, waveguides and circular cavity resonators, wave propagation in the ionosphere, and helical antennas. New exercises, new problems, and many worked-out examples make this complex material more accessible to students.
The Art and Craft of Problem Solving
Paul Zeitz - 1999
Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.
Thermal Physics
Charles Kittel - 1969
CONGRATULATIONS TO HERBERT KROEMER, 2000 NOBEL LAUREATE FOR PHYSICS For upper-division courses in thermodynamics or statistical mechanics, Kittel and Kroemer offers a modern approach to thermal physics that is based on the idea that all physical systems can be described in terms of their discrete quantum states, rather than drawing on 19th-century classical mechanics concepts.
Linear Algebra Done Right
Sheldon Axler - 1995
The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.
Everyday Calculus: Discovering the Hidden Math All Around Us
Oscar E. Fernandez - 2014
For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.
Game Theory
Drew Fudenberg - 1991
The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu
Finite-Dimensional Vector Spaces
Paul R. Halmos - 1947
The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt f�r Mathematik
Textbook of Radiographic Positioning and Related Anatomy
Kenneth L. Bontrager - 1987
It presents positioning and projection information in an easy-to-read, bulleted format on one side of the page spread, with corresponding positioning photos, radiographic images and anatomical drawings on the other side. Expert content covers pathology, geriatric and pediatric patient populations, survey information, and 100 new positioning photographs for the latest in radiographic positioning. The 6th edition contains a new chapter on digital imaging, and digital imaging information is incorporated where appropriate throughout the book. New photographs and redrawn illustrations create a consistent, visual appearance throughout the book.- Characterized by a clear, easy-to-follow organization that features one projection per page. Positioning and projection information is presented in an easy-to-read bulleted format on the left side of the page, and positioning photos, radiographic images and anatomical drawings are aligned on the right. This show and tell style helps students visualize anatomy and understand positioning.- Includes about 200 of the most commonly requested projections. Competency in performing these projections is necessary for all entry-level practitioners. By contrast, Merrill's Atlas includes over 400 projections and much more information on advanced imaging.- Critique Radiographs provide the basis of classroom or lab discussion. The WB/LM contains questions specific to these radiographs.- Pathologic Indications in appropriate chapters - Introducing pathology with positioning helps students understand the whole patient and improves their ability to produce radiographs that make diagnosis easy for the physician.- Pediatric Applications in appropriate chapters prepare technologists to deal competently with the special needs of their pediatric patients.- Geriatric Applications in appropriate chapters - Important information for technologists to understand the varying needs of their patient base.- Alternative Modalities or procedures inform students of which projections can better demonstrate certain anatomical parts or pathology, or which may be necessary if patient is unable to cooperate fully.- Radiographic Criteria on positioning pages help students develop a routine for evaluating radiographic quality.- Pathology Demonstrated provides students with a larger frame of reference, and therefore a greater understanding, of each projectionA new chapter on digital imaging discusses basic principles, applications, and image quality - digital imaging information essential for making appropriate positioning adjustments - to ensure readers are prepared to encounter new technology in clinical practice.Content updates include a totally new section on surgical radiography, new sections in all chapters on digital imaging considerations, an expanded section on bone densitometry, and a new introduction to positron emission tomography (PET).Updated and revised chapters cover angiography and interventional procedures, and computed tomography.More than 150 new positioning photos, in addition to many updated images, complement the new material.
An Introduction to Statistical Learning: With Applications in R
Gareth James - 2013
This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree- based methods, support vector machines, clustering, and more. Color graphics and real-world examples are used to illustrate the methods presented. Since the goal of this textbook is to facilitate the use of these statistical learning techniques by practitioners in science, industry, and other fields, each chapter contains a tutorial on implementing the analyses and methods presented in R, an extremely popular open source statistical software platform. Two of the authors co-wrote The Elements of Statistical Learning (Hastie, Tibshirani and Friedman, 2nd edition 2009), a popular reference book for statistics and machine learning researchers. An Introduction to Statistical Learning covers many of the same topics, but at a level accessible to a much broader audience. This book is targeted at statisticians and non-statisticians alike who wish to use cutting-edge statistical learning techniques to analyze their data. The text assumes only a previous course in linear regression and no knowledge of matrix algebra.
Computer System Architecture
M. Morris Mano - 1976
Written to aid electrical engineers, computer engineers, and computer scientists, the volume includes: KEY FEATURES: the computer architecture, organization, and design associated with computer hardware - the various digital components used in the organization and design of digital computers - detailed steps that a designer must go through in order to design an elementary basic computer - the organization and architecture of the central processing unit - the organization and architecture of input-output and memory - the concept of multiprocessing - two new chapters on pipeline and vector processing - two sections devoted completely to the reduced instruction set computer (RISC) - and sample worked-out problems to clarify topics.
Introduction to Graph Theory
Richard J. Trudeau - 1994
This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.
Geographic Information Systems and Science
Paul A. Longley - 2001
Its unique approach communicates the richness and diversity of CIS in a lucid and accessible format. This fully revised and updated second edition reinforces the view of CIS as a gateway to science and problem solving, sets out the scientific principles that govern its use, and describes the impact of people on its development, design, and success. The second edition of Geographic Information Systems and Science includes:A new five-part structure: Foundations; Principles; Techniques; Analysis; and Management and Policy.All-new personality boxes of current GIS practitioners.New real-world applications of GIS.New or expanded coverage of important current topics:Location-based servicesDistributed computingVirtual and augmented realitiesHomeland securityBusiness GIS and geodemographicsThe emergence of geoportalsGrand challenges of GIScienceA new suite of instructor and student resources http://www.wiley.com/go/longleyThe second edition of Geographic Information Systems and Science is essential reading for undergraduates taking courses in GIS within departments of Geography, Environmental Science, Business (and Public) Administration, Computer Science, Urban Studies, Planning, Information Science, Civil Engineering, and Archaeology. It is also provides a key resource for foundation GIS courses on taught MSc and other higher-degree programs. Professional users of GIS from governmental organizations and industries across the private sector will find this book an invaluable resource with a wealth of relevant applications.