Geometric Methods and Applications(Reprint) For Computer Science and Engineering (Texts in Applied Mathematics) by JeanGallier Paperback, 680 Pages, Published 2013 by Springer ISBN-13: 978-1-4614-2824-4, ISBN: 1-4614-2824-6
"This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean ..."
Geometric Methods and Applications(2nd Edition) For Computer Science and Engineering (Texts in Applied Mathematics) by JeanGallier Hardcover, 680 Pages, Published 2011 by Springer ISBN-13: 978-1-4419-9960-3, ISBN: 1-4419-9960-4
"This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean ..."
Geometric Methods and Applications For Computer Science and Engineering by JeanGallier Paperback, 592 Pages, Published 2012 by Springer ISBN-13: 978-1-4613-0138-7, ISBN: 1-4613-0138-6
Texts in Applied Mathematics Ser. Geometric Methods and Applications : For Computer Science and Engineering by JeanGallier 566 Pages, Published 2012 by Springer Science & Business Media ISBN-13: 978-1-4613-0137-0, ISBN: 1-4613-0137-8
"If E is a Euclidean affine space of dimension n > 2, for any two pairs (a1, b1) and (
a2, b2) of points in E, where a1 # b1 and a2 # b2, we define the angle of the pair
((a1, b1), (a2, b2)) as the angle of the pair (a1b1, a2b2). As for the issue of
measure of an angle when n > 3, all we can do is to define the measure of the
angle u1 u2 as either 6 or 2T-6, where 6 e [0,2T. For a detailed treatment, see
Berger [12] or Cagnac, Ramis, ..."
Discrete Mathematics by JeanGallier Paperback, 480 Pages, Published 2011 by Springer ISBN-13: 978-1-4419-8048-9, ISBN: 1-4419-8048-2
Universitext Ser. Discrete Mathematics by JeanGallier 466 Pages, Published 2011 by Springer Science & Business Media ISBN-13: 978-1-4419-8047-2, ISBN: 1-4419-8047-4
"The curriculum of most undergraduate programs in computer science includes a
course titled Discrete Mathematics. ... The notion of a proof is something very
fuzzy for most students and even the need for the rigorous justification of a claim
is not so clear to most of them. ... On a scholarly level, I argue that some basic
mathematical knowledge should be part of the scientific culture of any computer
science student and more ... Th ..."
Texts in Applied Mathematics(Reprint) Geometric Methods and Applications : For Computer Science and Engineering 38 by JeanGallier Paperback, 586 Pages, Published 2000 by Springer ISBN-13: 978-1-4612-6509-2, ISBN: 1-4612-6509-6
"As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geom ..."
Logic for Computer Science(1st Edition) Foundations of Automatic Theorem Proving, Second Edition (Dover Books on Computer Science) by Jean H. Gallier Paperback, 528 Pages, Published 2015 by Dover Publications ISBN-13: 978-0-486-78082-5, ISBN: 0-486-78082-1
"This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order lo ..."
Discrete Mathematics (Universitext) by Jean H. Gallier Paperback, 466 Pages, Published 2011 by Springer ISBN-13: 978-1-4419-8046-5, ISBN: 1-4419-8046-6
"This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It dea ..."
Curves and Surfaces in Geometric Modeling(1st Edition) Theory & Algorithms (The Morgan Kaufmann Series in Computer Graphics) by Jean H. Gallier Hardcover, 491 Pages, Published 1999 by Morgan Kaufmann ISBN-13: 978-1-55860-599-2, ISBN: 1-55860-599-1
"Curves and Surfaces for Geometric Design offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work-whether you're a graduate student, scientist, or practitioner.Inside, the focus is on "blossoming"-the process of converting a polynomial to its polar form-as a natural, purely geometric explanation of the behavior of curves a ..."
Logic for Computer Science(Updated) Foundations of Automatic Theorem Proving by Jean H. Gallier Paperback, 526 Pages, Published 1988 by John Wiley And Sons (Wie) ISBN-13: 978-0-471-61546-0, ISBN: 0-471-61546-3
Logic for Computer Science Foundations of Automatic Theorem Proving (Harper & Row computer science and technology series) by Jean H. Gallier Hardcover, 528 Pages, Published 1986 by Longman Higher Education ISBN-13: 978-0-06-042225-7, ISBN: 0-06-042225-4
"Covers the mathematical logic necessary to computer science, emphasizing algorithmic methods for solving proofs. Treatment is self-contained, with all required mathematics contained in Chapter 2 and the appendix. Provides readable, inductive definitions and offers a unified framework using Getzen systems. Offers unique coverage of congruence, and contains an entire chapter devoted to SLD resolution and logic programming (PROLOG). Includ ..."
Geometric Methods and Applications(1st Edition) For Computer Science and Engineering (Texts in Applied Mathematics) by Jean H. Gallier Hardcover, 586 Pages, Published 2000 by Springer ISBN-13: 978-0-387-95044-0, ISBN: 0-387-95044-3
"As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geom ..."
"Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins b ..."
"This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for ..."
Differential Geometry and Lie Groups A Computational Perspective (Geometry and Computing, 12) by JeanGallier Softcover, Published 2021 by Springer ISBN-13: 978-3-030-46042-6, ISBN: 3-030-46042-8
"This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing. Working from basic undergraduate prerequisites, the authors develop manifold theory and Lie groups from scratch; fundamental topics in Riemannian geometry follow, culminating in the theory that underpins manifold optimization techniques. Students and professionals working in computer vision, robotics, and machine ..."