Precalculus: Mathematics for Calculus, 6th Edition

This most sensible promoting writer workforce explains techniques easily and obviously, with no glossing over tough issues. challenge fixing and mathematical modeling are brought early and bolstered all through, offering scholars with a superb starting place within the rules of mathematical pondering. entire and frivolously paced, the e-book offers whole assurance of the functionality thought, and integrates an important quantity of graphing calculator fabric to assist scholars strengthen perception into mathematical rules. The authors' awareness to element and readability, almost like present in James Stewart's market-leading Calculus textual content, is what makes this article the industry chief.

Show description

Uniqueness of solutions to the 3D quintic Gross–Pitaevskii hierarchy

By Younghun Hong, Kenneth Taliaferro, Zhihui Xie

In this paper, we learn options to the third-dimensional quintic Gross–Pitaevskii hierarchy. We turn out unconditional area of expertise between all small strategies within the serious area H1 (which corresponds to H1 at the NLS level). With mild transformations to the evidence, we additionally end up unconditional distinctiveness of suggestions to the Hartree hierarchy with out a smallness situation. Our evidence makes use of the quantum de Finetti theorem, and is an extension of the paintings by means of Chen, Hainzl, Pavlović, and Seiringer, and our earlier paintings.

Show description

How to Be a Math Genius

By Mike Goldsmith

During this shrewdpermanent consultant, younger readers formerly daunted by means of algebra, good judgment, algorithms, and all issues math will detect they're higher at it than they thought.

How to be a Math Genius explores the mathematics mind and demonstrates to readers that they use math abilities forever — they simply don't are aware of it but. filled with math actions and puzzles, compelling tales of math geniuses, math evidence and stats, and extra, the right way to be a Math Genius makes the feared topic of math either attractive and suitable.

Show description

Hyperbolic Geometry (2nd Edition) (Springer Undergraduate Mathematics Series)

By James W. Anderson

The geometry of the hyperbolic aircraft has been an energetic and interesting box of mathematical inquiry for many of the prior centuries. This e-book offers a self-contained creation to the topic, compatible for 3rd or fourth 12 months undergraduates. the fundamental procedure taken is to outline hyperbolic traces and improve a normal team of ameliorations maintaining hyperbolic traces, after which examine hyperbolic geometry as these amounts invariant below this staff of transformations.

Topics lined comprise the higher half-plane version of the hyperbolic airplane, Möbius changes, the overall Möbius staff, and their subgroups keeping the higher half-plane, hyperbolic arc-length and distance as amounts invariant below those subgroups, the Poincaré disc version, convex subsets of the hyperbolic aircraft, hyperbolic quarter, the Gauss-Bonnet formulation and its applications.

This up to date moment variation additionally features:
an multiplied dialogue of planar types of the hyperbolic aircraft coming up from advanced analysis;
the hyperboloid version of the hyperbolic plane;
brief dialogue of generalizations to better dimensions;
many new exercises.

The type and point of the e-book, which assumes few mathematical must haves, make it an amazing advent to this topic and offers the reader with an organization grab of the strategies and methods of this pretty a part of the mathematical panorama.

Show description

Lie Algebras of Finite and Affine Type (Cambridge Studies in Advanced Mathematics)

Lie algebras have many different purposes, either in arithmetic and mathematical physics. This booklet offers an intensive yet comfortable mathematical therapy of the topic, together with either the Cartan-Killing-Weyl thought of finite dimensional uncomplicated algebras and the extra smooth concept of Kac-Moody algebras. Proofs are given intimately and the one prerequisite is a valid wisdom of linear algebra. The Appendix presents a precis of the elemental houses of every Lie algebra of finite and affine style.

Show description

Hidden Markov Processes: Theory and Applications to Biology (Princeton Series in Applied Mathematics)

By M. Vidyasagar

This booklet explores very important elements of Markov and hidden Markov methods and the functions of those principles to numerous difficulties in computational biology. The booklet begins from first rules, in order that no earlier wisdom of chance is important. notwithstanding, the paintings is rigorous and mathematical, making it precious to engineers and mathematicians, even these no longer attracted to organic functions. more than a few routines is equipped, together with drills to familiarize the reader with techniques and extra complicated difficulties that require deep pondering the idea. organic purposes are taken from post-genomic biology, specifically genomics and proteomics.

The subject matters tested contain general fabric equivalent to the Perron-Frobenius theorem, temporary and recurrent states, hitting possibilities and hitting occasions, greatest probability estimation, the Viterbi set of rules, and the Baum-Welch set of rules. The publication includes discussions of tremendous invaluable themes no longer often visible on the uncomplicated point, similar to ergodicity of Markov tactics, Markov Chain Monte Carlo (MCMC), details concept, and massive deviation idea for either i.i.d and Markov techniques. The e-book additionally provides state of the art cognizance conception for hidden Markov versions. between organic purposes, it bargains an in-depth examine the BLAST (Basic neighborhood Alignment seek procedure) set of rules, together with a entire rationalization of the underlying idea. different functions corresponding to profile hidden Markov types also are explored.

Show description

Mathematics in Popular Culture: Essays on Appearances in Film, Fiction, Games, Television and Other Media

Arithmetic has maintained a stunning presence in well known media for over a century. in recent times, the flicks sturdy Will searching, a gorgeous brain, and Stand and carry, the level performs Breaking the Code and facts, the novella Flatland and the highly winning tv crime sequence NUMB3RS all weave arithmetic prominently into their storylines. much less visible yet pivotal references to the topic look within the blockbuster television convey misplaced, the cult motion picture The Princess Bride, or even Tolstoy's battle and Peace. during this number of new essays, individuals ponder the function of math in every thing from motion pictures, baseball, crossword puzzles, delusion role-playing video games, and tv indicates to technological know-how fiction stories, award-winning performs and vintage works of literature. Revealing the vast diversity of intersections among arithmetic and mainstream tradition, this assortment demonstrates that even "mass leisure" may have a hidden intensity.

Show description

Mathematician's Delight (Dover Books on Mathematics)

By W. W. Sawyer

"Recommended with self belief" via The instances Literary Supplement, this full of life survey begins with simple math and algebra and proceeds via slow steps via graphs, logarithms, and trigonometry to calculus and the area of numbers. Generations of readers have came across it definitely the right creation to arithmetic, offering accessible reasons of the way conception arises from real-life applications.
"The major item of this ebook is to dispel the terror of mathematics," pronounces writer W. W. Sawyer, including that "Many humans regard mathematicians as a race aside, possessed of virtually supernatural powers. whereas this is often very flattering for profitable mathematicians, it's very undesirable when you, for one cause or one other, try to benefit the subject." Now retired, Sawyer received overseas renown for his cutting edge educating tools, which he used at schools in England and Scotland in addition to Africa, New Zealand, and North the United States. His insights into the pleasures and practicalities of arithmetic will attract readers of all backgrounds.

Show description

Mathematical Analysis I (Universitext)

This moment English version of a really well known two-volume paintings offers an intensive first path in research, best from actual numbers to such complex issues as differential types on manifolds; asymptotic equipment; Fourier, Laplace, and Legendre transforms; elliptic features; and distributions. specifically amazing during this path are the sincerely expressed orientation towards the common sciences and the casual exploration of the essence and the roots of the elemental options and theorems of calculus. readability of exposition is matched through a wealth of instructive workouts, difficulties, and clean purposes to components seldom touched on in textbooks on actual analysis.

The major distinction among the second one and primary English variations is the addition of a sequence of appendices to every quantity. There are six of them within the first quantity and 5 within the moment. the topics of those appendices are assorted. they're intended to be necessary to either scholars (in arithmetic and physics) and lecturers, who should be influenced by means of assorted objectives. the various appendices are surveys, either potential and retrospective. the ultimate survey establishes very important conceptual connections among research and different components of mathematics.

The first quantity constitutes a whole direction in one-variable calculus besides the multivariable differential calculus elucidated in an updated, transparent demeanour, with a delightful geometric and usual sciences flavor.

Show description