{"product_id":"physics-for-mathematicians-mechanics","title":"Physics for Mathematicians, Mechanics I by Michael Spivak","description":"\u003c!-- ============================================================\n     PHYSICS FOR MATHEMATICIANS, MECHANICS I\n     PRODUCT DESCRIPTION — Publish or Perish, Inc.\n     Paste into Shopify product description (HTML editor)\n     No emojis | No copyright symbols in body | Feed-safe\n\n     PAGE TITLE (SEO):\n     Physics for Mathematicians Mechanics I by Michael Spivak | Publish or Perish\n\n     META DESCRIPTION (158 characters — paste into SEO field):\n     Physics for Mathematicians, Mechanics I by Michael Spivak. Smyth sewn,\n     black cloth hardcover. Exclusive to mathpop.com. Free FedEx 2Day on US orders.\n     ============================================================ --\u003e\n\u003cstyle\u003e\n  .pop-desc {\n    font-family: Georgia, 'Times New Roman', serif;\n    color: #1a1a1a;\n    line-height: 1.75;\n    max-width: 720px;\n  }\n  .pop-desc p {\n    margin: 0 0 1.25em 0;\n    font-size: 1em;\n  }\n  .pop-desc strong {\n    font-weight: 700;\n  }\n  .pop-desc em {\n    font-style: italic;\n  }\n  \/* SEO plain opener — read by crawlers first *\/\n  .pop-desc .pop-seo-opener {\n    font-size: 1.05em;\n    border-left: 3px solid #1a1a1a;\n    padding-left: 1.1em;\n    margin-bottom: 1.75em;\n  }\n  \/* Section headings *\/\n  .pop-desc h3 {\n    font-family: Georgia, 'Times New Roman', serif;\n    font-size: 0.8em;\n    font-weight: 700;\n    letter-spacing: 0.12em;\n    text-transform: uppercase;\n    color: #1a1a1a;\n    margin: 2em 0 0.75em 0;\n    padding-bottom: 0.4em;\n    border-bottom: 1px solid #d0d0d0;\n  }\n  \/* Feature list *\/\n  .pop-desc ul.pop-features {\n    list-style: none;\n    padding: 0;\n    margin: 0 0 1.5em 0;\n  }\n  .pop-desc ul.pop-features li {\n    padding: 0.55em 0 0.55em 1.4em;\n    position: relative;\n    border-bottom: 1px solid #efefef;\n    font-size: 0.97em;\n  }\n  .pop-desc ul.pop-features li:last-child {\n    border-bottom: none;\n  }\n  .pop-desc ul.pop-features li::before {\n    content: '';\n    position: absolute;\n    left: 0;\n    top: 50%;\n    transform: translateY(-50%);\n    width: 5px;\n    height: 5px;\n    background: #1a1a1a;\n    border-radius: 50%;\n  }\n  \/* Production note box *\/\n  .pop-desc .pop-note {\n    background: #f7f7f5;\n    border-left: 3px solid #1a1a1a;\n    padding: 1em 1.25em;\n    margin: 1.75em 0;\n    font-size: 0.93em;\n  }\n  .pop-desc .pop-note p {\n    margin: 0 0 0.75em 0;\n  }\n  .pop-desc .pop-note p:last-child {\n    margin: 0;\n  }\n  \/* Shipping strip *\/\n  .pop-desc .pop-shipping {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0;\n    border: 1px solid #d0d0d0;\n    margin: 1.75em 0;\n    font-size: 0.8em;\n  }\n  .pop-desc .pop-shipping-item {\n    flex: 1 1 auto;\n    min-width: 0;\n    padding: 0.7em 0.5em;\n    text-align: center;\n    border-right: 1px solid #d0d0d0;\n    box-sizing: border-box;\n  }\n  .pop-desc .pop-shipping-item:last-child {\n    border-right: none;\n  }\n  .pop-desc .pop-shipping-item .pop-shipping-label {\n    display: block;\n    font-size: 0.75em;\n    letter-spacing: 0.08em;\n    text-transform: uppercase;\n    color: #777;\n    margin-bottom: 0.2em;\n    white-space: nowrap;\n  }\n  .pop-desc .pop-shipping-item .pop-shipping-value {\n    display: block;\n    font-weight: 700;\n    color: #1a1a1a;\n    word-break: break-word;\n  }\n  \/* Divider *\/\n  .pop-desc hr.pop-rule {\n    border: none;\n    border-top: 1px solid #d0d0d0;\n    margin: 2em 0;\n  }\n  \/* Author bio *\/\n  .pop-desc .pop-author {\n    font-size: 0.93em;\n    color: #333;\n  }\n  \/* Exclusive badge *\/\n  .pop-desc .pop-exclusive {\n    display: inline-block;\n    font-size: 0.72em;\n    font-family: Georgia, serif;\n    letter-spacing: 0.1em;\n    text-transform: uppercase;\n    border: 1px solid #1a1a1a;\n    padding: 0.2em 0.6em;\n    margin-bottom: 1.25em;\n    color: #1a1a1a;\n  }\n\u003c\/style\u003e\n\u003cdiv itemtype=\"https:\/\/schema.org\/Book\" itemscope=\"\" class=\"pop-desc\"\u003e\n\u003c!-- Plain SEO opener — keyword leads, no wrappers above this --\u003e\n\u003cp\u003e\u003cstrong itemprop=\"name\"\u003ePhysics for Mathematicians, Mechanics I by Michael Spivak\u003c\/strong\u003e is the definitive mathematically rigorous introduction to classical mechanics, available exclusively at mathpop.com direct from the official publisher, Publish or Perish, Inc.\u003c\/p\u003e\n\u003cp class=\"pop-seo-opener\"\u003eIn this inaugural volume of a projected series on theoretical physics, Spivak brings the same uncompromising rigor and clarity that defined his celebrated \u003cem\u003eCalculus\u003c\/em\u003e to the study of classical mechanics. Written specifically for readers with a strong foundation in pure mathematics, this text employs the tools of differential geometry to bridge abstract mathematical theory and physical principles — giving mechanics the precise, honest treatment it deserves.\u003c\/p\u003e\n\u003cspan class=\"pop-exclusive\"\u003eExclusive to mathpop.com\u003c\/span\u003e\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout This Edition\u003c\/h3\u003e\n\u003cp\u003eThis edition is \u003cstrong\u003eSmyth sewn and casebound\u003c\/strong\u003e in black cloth with silver foil stamping — a construction chosen for permanence and for the reading experience a text of this weight demands. No cornstarch has been used in the binding materials, a deliberate improvement over earlier production runs.\u003c\/p\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eOn the Craft of Binding\u003c\/h3\u003e\n\u003c!-- Production craft note --\u003e\n\u003cdiv class=\"pop-note\"\u003e\n\u003cp\u003eAfter sewing, each book is nipped using a vintage 1950s smasher — a full-pressure nipping machine that removes air from the folded signatures before the book is cased in. This step, increasingly rare in modern bookmaking, compresses the spine cleanly and can reduce its thickness by up to 1\/8 inch, eliminating the nail head that forms when signatures are left un-nipped. The result is a tighter, flatter spine with the correct pressure profile at the hinge points and a book that is noticeably cleaner and more compact than earlier sewn versions of the same title.\u003c\/p\u003e\n\u003cp\u003eMany binderies substitute a speed nip — a faster, lower-pressure process that approximates the result. The full nip is treated here as a point of craft. It is becoming a lost art, and the difference is visible in the finished book.\u003c\/p\u003e\n\u003cp\u003eThe interior pages are printed on a premium 60lb uncoated text stock selected for its combination of smoothness and reading comfort. The sheet is highly calendered — a process that compresses the paper fibers under pressure to produce an exceptionally level, uniform surface — giving it a tactile quality that is immediately noticeable. At 97 brightness it renders mathematical notation and fine print with sharp contrast and minimal show-through. Being acid-free, it will not yellow with age. It is grain-short, meaning the paper fibers run parallel to the spine, which is why the book lies flat without being forced.\u003c\/p\u003e\n\u003c\/div\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003eSpivak opens the preface with a precise statement of purpose: this is a book for someone trained in modern mathematics and inculcated with its general outlook. Not someone who merely uses mathematics as a tool, but someone for whom rigor and precise definitions are the natural mode of thought. The prerequisite he names is his own \u003cem\u003eA Comprehensive Introduction to Differential Geometry\u003c\/em\u003e, Volumes 1 and 2 — not because he wrote it, but because the concepts of mechanics are, in his view, best expressed in the language of differential geometry.\u003c\/p\u003e\n\u003cp\u003eWhat he set out to understand — and what the book works through — is not just the advanced physics that mathematicians find straightforward, but the elementary physics that physicists seem to find natural and mathematicians have always found hard to fathom: the mysterious reductions by which a complicated physical problem becomes a simple mathematical question. Wheels, weights, ropes and pulleys. Where does the extra force from a lever actually come from? Why do standard physics texts answer that question so unsatisfyingly?\u003c\/p\u003e\n\u003cp\u003eSpivak wrote the book, as he wrote all his books, in order to learn the subject himself in a form he could find comprehensible. The result is an account of classical mechanics that begins with Newton's laws, works carefully through the full arc of the subject, and arrives at Lagrangian and Hamiltonian mechanics — treating every step with the honesty and precision a mathematician would demand.\u003c\/p\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eWhat the Book Covers\u003c\/h3\u003e\n\u003cul class=\"pop-features\"\u003e\n\u003cli\u003e\n\u003cstrong\u003ePart I — The Foundations of Mechanics\u003c\/strong\u003e: Newtonian mechanics from first principles, central forces, conservation laws, the one- and two-body problems, rigid bodies, constraints, and philosophical and historical questions about the development of the subject.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePart II — Building on the Foundations\u003c\/strong\u003e: Oscillations, rigid body motion, non-inertial systems and fictitious forces, and friction — including the Painleve paradoxes, billiards, and tippe tops.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePart III — Lagrangian Mechanics\u003c\/strong\u003e: Analytical mechanics, variational principles, Hamilton's principle, Noether's theorem, and small oscillations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePart IV — Hamiltonian Mechanics\u003c\/strong\u003e: The cotangent bundle, Hamilton-Jacobi theory, canonical transformations, symplectic manifolds, Liouville integrability, and action-angle variables — concluding with adiabatic invariants and the Hannay angle.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eInterlude — Light\u003c\/strong\u003e: A chapter on the history and mathematics of optics, tracing the interplay between mechanics and optics from antiquity through Hamilton.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eSupplement — A PDE Primer\u003c\/strong\u003e: Supporting material on partial differential equations for readers who need it.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003c!-- Shipping strip --\u003e\n\u003cdiv class=\"pop-shipping\"\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eShipping\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003eFree FedEx 2Day (US)\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eProcessing\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e1 Business Day\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eDelivery\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e2 to 4 Days\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eReturns\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e30 Days\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout the Author\u003c\/h3\u003e\n\u003cp itemprop=\"about\" class=\"pop-author\"\u003eMichael Spivak (1940–2020) earned his Ph.D. from Princeton University and is celebrated for writing mathematics textbooks of extraordinary rigor and clarity. In addition to \u003cem\u003ePhysics for Mathematicians\u003c\/em\u003e, he authored the five-volume \u003cem\u003eA Comprehensive Introduction to Differential Geometry\u003c\/em\u003e and the landmark text \u003cem\u003eCalculus\u003c\/em\u003e. He founded Publish or Perish, Inc., through which all of his major works are published.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Publish or Perish, Inc. ®","offers":[{"title":"Default Title","offer_id":49983449268526,"sku":"POP-PFM-MI","price":139.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0829\/3705\/3486\/files\/Physics_for_Mathematicians_Mechanics_I_Book_Cover.jpg?v=1745628547","url":"https:\/\/mathpop.com\/ca\/products\/physics-for-mathematicians-mechanics","provider":"Publish or Perish, Inc. ®","version":"1.0","type":"link"}