
Author 
Ivan Savov 
ISBN10 
9780992001001 
Year 
20140807 
Pages 
445 
Language 
en 
Publisher 
Minireference Co. 
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Often calculus and mechanics are taught as separate subjects. It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them. This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science. With concise, jargonfree lessons on topics in math and physics, each section covers one concept at the level required for a firstyear university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.

Author 
Jim Hefferon 
ISBN10 
1944325034 
Year 
20170101 
Pages 
508 
Language 
en 
Publisher 
Orthogonal Publishing L3c 
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The approach is developmental. Although it covers the requisite material by proving things, it does not assume that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise each student's level of mathematical maturity.

Author 
Kuldeep Singh 
ISBN10 
9780191507779 
Year 
20131031 
Pages 
616 
Language 
en 
Publisher 
OUP Oxford 
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Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. The strength of the text is in the large number of examples and the stepbystep explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to set problems freely available online. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader's confidence. Also included, generally at the beginning of sections, are short historical biographies of the leading players in the field of linear algebra to provide context for the topics covered. The dynamic and engaging style of the book includes frequent question and answer sections to test the reader's understanding of the methods introduced, rather than requiring rote learning. When first encountered, the subject can appear abstract and students will sometimes struggle to see its relevance; to counter this, the book also contains interviews with key people who use linear algebra in practice, in both professional and academic life. It will appeal to undergraduate students in mathematics, the physical sciences and engineering.

Author 
Mary Jane Sterling 
ISBN10 
9780470538166 
Year 
20090605 
Pages 
384 
Language 
en 
Publisher 
John Wiley & Sons 
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Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your handson guide to realworld applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easytofollow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations — link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces — determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical ways of solving linear algebra problems Definitions of terms throughout and in the glossary New ways of looking at operations How linear algebra ties together vectors, matrices, determinants, and linear transformations Ten common mathematical representations of Greek letters Realworld applications of matrices and determinants

Author 
Sheldon Axler 
ISBN10 
9783319110806 
Year 
20141105 
Pages 
340 
Language 
en 
Publisher 
Springer 
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This bestselling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finitedimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Innerproduct spaces are introduced, leading to the finitedimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

Author 
R. Shankar 
ISBN10 
0306450356 
Year 
19950630 
Pages 
365 
Language 
en 
Publisher 
Springer Science & Business Media 
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Are you: Entering a program in the physical sciences? A high school student who has taken most of the offered courses, and looking for a glimpse of college mathematics? Engaged in selfstudy to hone your mathematical skills? Then R. Shankar's Basic Training in Mathematics: A Fitness Program for Science Students is written for you. Based on the author's course at Yale University, the book addresses the widening gap found by Professor Shankar and his colleagues between the mathematics needed for upperlevel science study and the knowledge possessed by incoming students. This superb text organizes the necessary mathematics background into a onesemester course covering such topics as: A review of calculus Infinite series Functions of a complex variable Vector calculus Matrices Linear vector spaces Differential equationsnbsp; Get in shape for your future science studies with this outstanding text.

Author 
John R. Fanchi 
ISBN10 
UOM:39015040615331 
Year 
1997 
Pages 
259 
Language 
en 
Publisher 
WileyInterscience 
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This practical math review offers all the basic math scientists and engineers need to work on problems of modern technology. It covers key concepts in algebra, trigonometry, calculus, linear algebra and differential equations and offers exercises and applications throughout.

Author 
Dan A. Simovici 
ISBN10 
9789814383493 
Year 
2012 
Pages 
863 
Language 
en 
Publisher 
World Scientific 
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This comprehensive volume presents the foundations of linear algebra ideas and techniques applied to data mining and related fields. Linear algebra has gained increasing importance in data mining and pattern recognition, as shown by the many current data mining publications, and has a strong impact in other disciplines like psychology, chemistry, and biology. The basic material is accompanied by more than 550 exercises and supplements, many accompanied with complete solutions and MATLAB applications. Key Features Integrates the mathematical developments to their applications in data mining without sacrificing the mathematical rigor Presented applications with full mathematical justifications and are often accompanied by MATLAB code Highlights strong links between linear algebra, topology and graph theory because these links are essentially important for applications A selfcontained book that deals with mathematics that is immediately relevant for data mining Book jacket.
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: errorcorrecting codes, transformations in graphics, face detection, encryption and secretsharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be autograded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.

Author 
D.L. Johnson 
ISBN10 
3540761233 
Year 
19980925 
Pages 
174 
Language 
en 
Publisher 
Springer Science & Business Media 
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This is an elementary text, aimed at firstyear undergraduates, which has been designed to bridge the gap between school and university mathematics and to emphasise the importance of proofs  both how to follow a proof and how to construct a proof. The book lays the foundation for most of the key subjects studied in an undergraduate degree program, and provides numerous exercises and a bibliography with suggestions for further and background reading.

Author 
Kuldeep Singh 
ISBN10 
9780230345980 
Year 
20110726 
Pages 
944 
Language 
en 
Publisher 
Palgrave Macmillan 
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This text teaches maths in a stepbystep fashion – ideal for students on firstyear engineering and predegree courses.  Hundreds of examples and exercises, the majority set in an applied engineering context so that you immediately see the purpose of what you are learning  Introductory chapter revises indices, fractions, decimals, percentages and ratios  Fully worked solutions to every problem on the companion website at www.palgrave.com/engineering/singh plus searchable glossary, eindex, extra exercises, extra content and more!

Author 
Jan R. Magnus 
ISBN10 
047198633X 
Year 
1999 
Pages 
395 
Language 
en 
Publisher 
University of Texas Press 
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This text is a selfcontained and unified treatment of matrix differential calculus, specifically written for econometricians and statisticians. It can serve as a textbook for advanced undergraduates and postgraduates in econometrics and as a reference book for practising econometricians.

Author 
Gilbert Strang 
ISBN10 
0980232775 
Year 
20160811 
Pages 
600 
Language 
en 
Publisher 
WellesleyCambridge Press 
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Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professionallevel algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.

Author 
James M. Van Verth 
ISBN10 
9781482250954 
Year 
20150915 
Pages 
592 
Language 
en 
Publisher 
CRC Press 
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Expert Guidance on the Math Needed for 3D Game Programming Developed from the authors’ popular Game Developers Conference (GDC) tutorial, Essential Mathematics for Games and Interactive Applications, Third Edition illustrates the importance of mathematics in 3D programming. It shows you how to properly animate, simulate, and render scenes and discusses the mathematics behind the processes. New to the Third Edition Completely revised to fix errors and make the content flow better, this third edition reflects the increased use of shader graphics pipelines, such as in DirectX 11, OpenGL ES (GLES), and the OpenGL Core Profile. It also updates the material on realtime graphics with coverage of more realistic materials and lighting. The Foundation for Successful 3D Programming The book covers the lowlevel mathematical and geometric representations and algorithms that are the core of any game engine. It also explores all the stages of the rendering pipeline. The authors explain how to represent, transform, view, and animate geometry. They then focus on visual matters, specifically the representation, computation, and use of color. They also address randomness, intersecting geometric entities, and physical simulation. An Introduction to Creating Real and Active Virtual Worlds This updated book provides you with a conceptual understanding of the mathematics needed to create 3D games as well as a practical understanding of how these mathematical bases actually apply to games and graphics. It not only includes the theoretical mathematical background but also incorporates many examples of how the concepts are used to affect how a game looks and plays. Web Resource A supplementary website contains a collection of source code, supporting libraries, and interactive demonstrations that illustrate the concepts and enable you to experiment with animation and simulation applications. The site also includes slides and notes from the authors’ GDC tutorials.

Author 
Wladston Ferreira Filho 
ISBN10 
0997316004 
Year 
20170101 
Pages 
170 
Language 
en 
Publisher 

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