Filename: no-bullshit-guide-to-math-and-physics.pdf
ISBN: 9780992001001
Release Date: 2014-08-07
Number of pages: 445
Author: Ivan Savov
Publisher: Minireference Co.

Download and read online No bullshit guide to math and physics in PDF and EPUB 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, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.

Filename: linear-algebra-done-right.pdf
ISBN: 9783319110806
Release Date: 2014-11-05
Number of pages: 340
Author: Sheldon Axler
Publisher: Springer

Download and read online Linear Algebra Done Right in PDF and EPUB This best-selling 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 finite-dimensional 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. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

Filename: a-terse-introduction-to-linear-algebra.pdf
ISBN: 9780821844199
Release Date: 2008
Number of pages: 215
Author: Yitzhak Katznelson
Publisher: American Mathematical Soc.

Download and read online A terse Introduction to Linear Algebra in PDF and EPUB Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications. A (Terse) Introduction to Linear Algebra is a concise presentation of the core material of the subject--those elements of linear algebra that every mathematician, and everyone who uses mathematics, should know. It goes from the notion of a finite-dimensional vector space to the canonical forms of linear operators and their matrices, and covers along the way such key topics as: systems of linear equations, linear operators and matrices, determinants, duality, and the spectral theory of operators on inner-product spaces. The last chapter offers a selection of additional topics indicating directions in which the core material can be applied. The Appendix provides all the relevant background material. Written for students with some mathematical maturity and an interest in abstraction and formal reasoning, the book is self-contained and is appropriate for an advanced undergraduate course in linear algebra.

Filename: matrix-methods-in-data-mining-and-pattern-recognition.pdf
ISBN: 9780898716269
Release Date: 2007-07-12
Number of pages: 224
Author: Lars Eldén
Publisher: SIAM

Download and read online Matrix Methods in Data Mining and Pattern Recognition in PDF and EPUB Several very powerful numerical linear algebra techniques are available for solving problems in data mining and pattern recognition. This application-oriented book describes how modern matrix methods can be used to solve these problems, gives an introduction to matrix theory and decompositions, and provides students with a set of tools that can be modified for a particular application.Matrix Methods in Data Mining and Pattern Recognition is divided into three parts. Part I gives a short introduction to a few application areas before presenting linear algebra concepts and matrix decompositions that students can use in problem-solving environments such as MATLAB®. Some mathematical proofs that emphasize the existence and properties of the matrix decompositions are included. In Part II, linear algebra techniques are applied to data mining problems. Part III is a brief introduction to eigenvalue and singular value algorithms. The applications discussed by the author are: classification of handwritten digits, text mining, text summarization, pagerank computations related to the GoogleÔ search engine, and face recognition. Exercises and computer assignments are available on a Web page that supplements the book.Audience The book is intended for undergraduate students who have previously taken an introductory scientific computing/numerical analysis course. Graduate students in various data mining and pattern recognition areas who need an introduction to linear algebra techniques will also find the book useful.Contents Preface; Part I: Linear Algebra Concepts and Matrix Decompositions. Chapter 1: Vectors and Matrices in Data Mining and Pattern Recognition; Chapter 2: Vectors and Matrices; Chapter 3: Linear Systems and Least Squares; Chapter 4: Orthogonality; Chapter 5: QR Decomposition; Chapter 6: Singular Value Decomposition; Chapter 7: Reduced-Rank Least Squares Models; Chapter 8: Tensor Decomposition; Chapter 9: Clustering and Nonnegative Matrix Factorization; Part II: Data Mining Applications. Chapter 10: Classification of Handwritten Digits; Chapter 11: Text Mining; Chapter 12: Page Ranking for a Web Search Engine; Chapter 13: Automatic Key Word and Key Sentence Extraction; Chapter 14: Face Recognition Using Tensor SVD. Part III: Computing the Matrix Decompositions. Chapter 15: Computing Eigenvalues and Singular Values; Bibliography; Index.

Filename: basic-training-in-mathematics.pdf
ISBN: 0306450356
Release Date: 1995-06-30
Number of pages: 365
Author: R. Shankar
Publisher: Springer Science & Business Media

Download and read online Basic Training in Mathematics in PDF and EPUB 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 self-study 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 upper-level science study and the knowledge possessed by incoming students. This superb text organizes the necessary mathematics background into a one-semester 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.

Filename: math-refresher-for-scientists-and-engineers.pdf
ISBN: UOM:39015040615331
Release Date: 1997
Number of pages: 259
Author: John R. Fanchi
Publisher: Wiley-Interscience

Download and read online Math refresher for scientists and engineers in PDF and EPUB 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.

Filename: linear-algebra.pdf
ISBN: 1944325034
Release Date: 2017-01-01
Number of pages: 508
Author: Jim Hefferon
Publisher: Orthogonal Publishing L3c

Download and read online Linear Algebra in PDF and EPUB 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.

Filename: engineering-mathematics-through-applications.pdf
ISBN: 9780230345980
Release Date: 2011-07-26
Number of pages: 944
Author: Kuldeep Singh
Publisher: Palgrave Macmillan

Download and read online Engineering Mathematics Through Applications in PDF and EPUB This text teaches maths in a step-by-step fashion – ideal for students on first-year engineering and pre-degree 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, e-index, extra exercises, extra content and more!

Filename: coding-the-matrix.pdf
ISBN: 061585673X
Release Date: 2013-07
Number of pages: 530
Author: Philip N. Klein
Publisher:

Download and read online Coding the Matrix in PDF and EPUB 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: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, 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 auto-graded 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.

Filename: practical-algebra.pdf
ISBN: 0471530123
Release Date: 1991-02-28
Number of pages: 336
Author: Peter H. Selby
Publisher: Wiley

Download and read online Practical Algebra in PDF and EPUB Practical Algebra If you studied algebra years ago and now need a refresher course in order to use algebraic principles on the job, or if you're a student who needs an introduction to the subject, here's the perfect book for you. Practical Algebra is an easy and fun-to-use workout program that quickly puts you in command of all the basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problem solving * The number system (in a much broader way than you have known it from arithmetic) * Monomials and polynomials; factoring algebraic expressions; how to handle algebraic fractions; exponents, roots, and radicals; linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, and more Authors Peter Selby and Steve Slavin emphasize practical algebra throughout by providing you with techniques for solving problems in a wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology and business administration. Step by step, Practical Algebra shows you how to solve algebraic problems in each of these areas, then allows you to tackle similar problems on your own, at your own pace. Self-tests are provided at the end of each chapter so you can measure your mastery.

Filename: fundamentals-of-physics.pdf
ISBN: 9780300192209
Release Date: 2014-03-25
Number of pages: 464
Author: R. Shankar
Publisher: Yale University Press

Download and read online Fundamentals of Physics in PDF and EPUB Explains the fundamental concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Provides an introduction for college-level students of physics, chemistry, and engineering, for AP Physics students, and for general readers interested in advances in the sciences.

Filename: algebra-unplugged.pdf
ISBN: 0962781576
Release Date: 1995
Number of pages: 258
Author: Kenn Amdahl
Publisher: Clearwater Publishing Company Incorporated

Download and read online Algebra Unplugged in PDF and EPUB Uses analogies and humor to explain the vocabulary, basic concepts, and strategies of algebra.

Filename: essential-mathematics-for-games-and-interactive-applications-third-edition.pdf
ISBN: 9781482250954
Release Date: 2015-09-15
Number of pages: 592
Author: James M. Van Verth
Publisher: CRC Press

Download and read online Essential Mathematics for Games and Interactive Applications Third Edition in PDF and EPUB 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 real-time graphics with coverage of more realistic materials and lighting. The Foundation for Successful 3D Programming The book covers the low-level 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.

Filename: precalculus-mathematics-in-a-nutshell-geometry-algebra-trigonometry.pdf
ISBN: 9781592441303
Release Date: 2003-01-14
Number of pages: 128
Author: George F. Simmons
Publisher: Wipf and Stock Publishers

Download and read online Precalculus Mathematics in a Nutshell Geometry Algebra Trigonometry in PDF and EPUB ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . 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.Ó 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.