LITERARY NOTICES

The Philosophy of Mathematics (published by Harper and Brothers), is a translation by Professor W.H. Gillespie, of Union College, of that portion of Comte's "Course of Positive Philosophy" which treats of the theory of the higher Mathematics. The treatise, in the original, forms about two-thirds of the first volume of his great work, the whole of which extends to six large octavo volumes, of six or seven hundred pages each. The magnitude of this work is alone sufficient to account for the slow progress which it has made among American mathematical students, to many of whom it is probably known only by name. In the present form, it is made accessible to every reader. Its publication will constitute a new epoch in the mathematical culture of this country, as the original has done in the development of European science. The opinion of its merits, expressed by the translator, is by no means extravagant. "Clearness and depth, comprehensiveness and precision have never, perhaps, been so remarkably united as in Auguste Comte. He views his subject from an elevation which gives to each part of the complex whole its true position and value, while his telescopic glance loses none of the needful details, and not only itself pierces to the heart of the matter, but converts its opaqueness into such transparent crystal, that other eyes are enabled to see as deeply into it as his own." The opinion of the translator is supported by the emphatic testimonials of several competent English authorities. Mill, in his "Logic," calls the work of M. Comte, "by far the greatest yet produced on the Philosophy of the Sciences," and adds, "of this admirable work, one of the most admirable portions is that in which he may truly be said to have created the Philosophy of the higher Mathematics." Moreil, in his "Speculative Philosophy of Europe," remarks that, "the classification given of the sciences at large, and their regular order of development is unquestionably a master-piece of scientific thinking, as simple as it is comprehensive." Lewes, in his "Biographical History of Philosophy," speaks of Comte as "the Bacon of the Nineteenth Century," and adds, "I unhesitatingly record my conviction that this is the greatest work of our age."

With his remarkable profoundness and lucidity of thought, M. Comte does not combine a mastery of language in equal proportion. His style is never flowing, and often harsh and complicated. It is difficult to render his peculiar phraseology in an adequate translation. Prof. Gillespie has evidently performed his task with conscientious diligence, and has succeeded as well as the nature of the case permits, in doing justice to his author. He has conferred an important benefit on the cause of science by the reproduction of this great master-piece of philosophical discussion, and will, no doubt, receive a grateful appreciation from his scientific countrymen.

Charles Scribner has published an original Life of Algernon Sidney, by G. Van Santvoord, including copious sketches of several of the distinguished republicans who were his fellow-laborers in the cause of political freedom. Among the biographical portraits introduced by the author, are those of Cromwell, Milton, Sir Henry Vane, Bradshaw, Marten, Scot, and others. They are drawn with considerable spirit, and evident historical fidelity. The character of Sidney is described in terms of warm appreciation, though the partialities of the author have not clouded the fairness of his judgment. Devoted with enthusiastic admiration to the memory of the English martyrs for freedom, in the investigation of their history, he has not neglected the sound principles of critical research. His volume hears internal marks of authenticity; its opinions are expressed with discretion and gravity; its tone partakes of the dignity of its subject; and its style, though not sparkling with the adornments of rhetoric, is sincere and forcible, and presents occasional specimens of chaste beauty.

The first American edition of The Journal and Letters of the Rev. Henry Martyn, edited by Rev. S. Wilberforce, has been published by M.W. Dodd, containing a variety of interesting matter, which now appears for the first time in this country. The original English edition is reduced by the omission of certain portions, which seemed to be of less value to the general reader, but no change has been made in the passages retained, which are a faithful transcript of the language which fell from the pen of the author. They were written in moments of intimate self-communion, or in the freedom of familiar correspondence, revealing the hidden experience of the heart, with the most child-like simplicity; while every expression betrays the intensity of humiliation and the yearnings after holiness, which were so deeply inwrought into the character of the distinguished missionary. With an acute and cultivated intellect, which enabled him to bear away the highest University honors, Henry Martyn combined a fervor of devotion, an unworldly forgetfulness of self, and a passion for the spiritual welfare of his fellow-men, which in another age would not have failed to win him the canonization of a saint. The transparent confessions of such a man, describing the struggles and triumphs of the interior life, must be welcomed by every religious reader. Nor are they less valuable as an illustration of the workings of human nature, when under the influence of the strong emotions engendered by the austere and sublime faith with which the subject identified his conceptions of Christianity. The American editor appropriately commends the work to young men in our colleges and seminaries of learning, with the remark that "Martyn was a scholar of varied and profound attainments, but he counted it his highest honor to lay his laurels at his Saviour's feet, and could all the young men in our colleges go forth in his spirit, the strongholds of error and sin would be speedily shaken."

The Water Witch forms the last volume of J. Fenimore Cooper's Collective Works, in Geo. P. Putnam's tasteful and convenient edition. The opinion of the author on the comparative merits of this novel is briefly stated in the Preface. "The book has proved a comparative failure. The facts of this country are all so recent and so familiar, that every innovation on them, by means of the imagination is coldly received, if it be not absolutely frowned upon. Nevertheless this is probably the most imaginative book ever written by the author. Its fault is in blending too much of the real with the purely ideal. Halfway measures will not do in matters of this sort; and it is always safer to preserve the identity of a book by a fixed and determinate character, than to make the effort to steer between the true and the false." In another passage, Mr. Cooper gives utterance to the fears which haunt his imagination, in regard to the innovating tendencies of the present day. "As for the Patroons of Kinderbook, the genus seems about to expire among us. Not only are we to have no more patroons, but the decree has gone forth from the virtuous and infallible voters that there are to be no more estates.

'All the realm shall be in common, and in Cheapside shall my palfrey go to grass.'

The collected wisdom of the State has decided that it is true policy to prevent the affluent from converting their money into land. The curse of mediocrity weighs upon us, and its blunders can be repaired only through the hard lessons of experience." Mr. Cooper alludes to the great number of typographical errors which are found in the former editions of this work. It was written in Italy and first printed in Germany. The American compositor, conceiving that he had a right to correct the blunders of a foreigner, took the law into his own hands, and exercised a sovereign power over the author's orthography. He has endeavored to do himself justice in this particular, and accordingly claims a greater degree of improvement for the Water Witch in the present edition, than for any other work which has passed through his hands.

The serial publication of London Labor, by Henry Mayhew, from the press of Harper and Brothers, has reached its fifth number, and thus far, we discover no diminution of interest in its contents. Mr. Mayhew has plunged into the thick of what he appropriately styles the nomadic life of London, and brings up its startling revelations to the light of day, without the slightest disguise or embellishment. His work contains the stuff for many novels of real life, which, in the hands of a master, would rival the creations of Dickens or Thackeray. Some of the most interesting scenes, which he describes, are related in the words of the parties concerned, with whom the author appears to have had a perfectly good understanding. As a contribution to the history of social development in the nineteenth century, we regard this work as one of the most important of the day.

The Fruit Garden, by P. Barry (published by Charles Scribner), is a practical treatise on the cultivation of fruit-trees, with over one hundred and fifty illustrations, representing the different parts of trees, all practical operations, designs for plantations, and other important points in this branch of arboriculture. The extent and variety of information which it presents, with the clearness of its practical directions, and its adaptation to American cultivation, will make it a standard work of reference with intelligent fruit growers.

The Female Jesuit (published by M.W. Dodd), is the title of a narrative, purporting to be the history of a religious impostor, who, after a complicated career of intrigue and duplicity in England, was at length detected in her plots, although no light is thrown on their origin and purposes. The work is issued with the conviction on the part of the English editors, that she was the agent of some great system in the Catholic interest, that may have been brought into action far more widely than Protestants are aware. In the absence of positive proof, they hesitate to charge her deception on the Jesuits, but they are evidently of opinion that the suspicion is warranted by the facts in the case. The volume, it must be confessed has too much the air of a romance to command implicit reliance. We should have greater confidence in it as a history, if it did not show such a studious concealment of responsible names, with the omission of other circumstances that are essential to authentic investigation.

The Wife's Sister; or, The Forbidden Marriage is the title of a novel by Mrs. Hubback, niece of Miss Austen (published by Harper and Brothers), written with more than common graphic power, and unfolding a plot of great intensity of passion. It was written previously to the great agitation on the question of the Law of Marriage in England, and was published without reference to that much debated subject, although it presents a vivid illustration of the possible effects of the enactment alluded to, both in its social and personal bearings. Apart from these considerations, however, it is a story of remarkable interest, and is well worth perusal by all who have an appetite for a good novel.

A new volume of Poems, by Mrs. E.H. Evans, has been published by Lippincott, Grambo, and Co., with an Introduction by her brother, the distinguished pulpit orator, Rev. T.H. Stockton. The volume consists principally of effusions marked by a strong religious spirit, and a vein of modest and tender domestic sentiment. Many of them indicate a true poetic imagination, but without sufficient affluence or aptness of diction to do it justice in expression.

Dealings with the Inquisition, by Dr. Giacinto Achilli (published by Harper and Brothers), is a work that has attracted great attention in England, on account of its relation to the Roman Catholic controversy, and for the same reason, will find many readers in this country. Falling under the suspicion of heresy, the author was subjected to the power of the Inquisition, which, though kept in the back-ground, appears, from his statements, to have lost none of its vitality with the lapse of ages. His book is full of curious disclosures, which are apparently sustained by competent authority.

Geo. P. Putnam has issued A Treatise on Political Economy, by George Opdyke, in which the author undertakes to present a system in perfect harmony with the other portions of our political edifice—a system grounded on the broad principles of justice and equality, and in all its doctrines and legislative applications solely designed to illustrate and enforce those principles. Maintaining the policy of freedom in its broadest sense—freedom of industry, freedom of trade, and freedom of political institutions, the volume has been especially prompted by the desire of the author to disseminate his peculiar views on the subject of Money. He claims to have discovered a plan for furnishing a paper currency, which, although irredeemable, and therefore free from the cost of production, he believes will perform the offices of money much better than either bank-notes or coin. He sustains his theories with considerable force of argument, and in a lucid and compact style; but he has not succeeded in freeing them from difficulties, which must embarrass their reception by cautious thinkers on the complicated science to which his work is devoted.

Harper's New York and Erie Railroad Guide, by William Macleod, is a seasonable publication, which will form an indispensable appendage to the preparations of the pleasure-hunter, who is about to view, for the first time, the magnificent scenery on this great public avenue. It contains nearly a hundred and fifty engravings, from original sketches made expressly for the work, and executed in the usual admirable style of Lossing and Barritt. The letter-press descriptions are written in a lively and pleasing style, and furnish a great amount of geographical and local information, with regard to the interior of the Empire State. Every traveler on this route, which is destined to be the favorite choice of the lover of the grand and imposing in American scenery, no less than of the hurried business-man with whom time is money, will find the enjoyment of his tour greatly enhanced by the cheerful and instructive companionship of this agreeable volume.

Lindsay and Blakiston have published a second series of Characteristics of Literature, by Henry T. Tuckerman, containing essays on Manzoni, Steele, Humboldt, Madame de Sévigné, Horne Tooke, Wilson, Talfourd, Beckford, Hazlitt, Everett, and Godwin. They are written in the style of polished elegance and graceful facility which has given the author such a high reputation with most cultivated readers. Free from extravagance of conception or diction, pervaded with a tone of natural and manly feeling, and thoroughly imbued with the spirit of the best literary productions, they claim a favorable reception from the public on the ground of their purity of taste, their refinement of expression, and their genial and appreciative principles of criticism. The essays on Humboldt and Horne Tooke, in particular, are, in a high degree, original and suggestive, and present a very favorable specimen of a kind of discussion in which the author excels.

The Gold-Worshipers (published by Harper and Brothers), is the title of a brilliant satirical novel illustrating the mania for speculation, and the extravagance of fashionable life, which have recently exhibited such remarkable developments in the highest English society. The characters are drawn with amusing life-likeness, and must have been copied from well-known originals. A more spirited and sparkling commentary on the times has not been issued by the London press.

Robert Carter and Brothers have issued a new volume by Mrs. L.H. Sigourney, entitled Letters to my Pupils, comprising a selection from her correspondence with the young ladies of her different classes, during their course of instruction at her private seminary in Connecticut. They are filled with valuable counsels, marked with the good sense, affectionate feeling, and practical tendency which are conspicuous features of the author's mind. In addition to the letters, the volume contains some pleasing reminiscences of Mrs. Sigourney's experience as a teacher, with sketches of the character and personal history of several of her more distinguished pupils, now deceased. The work will be found to offer a variety of attractive and useful matter for family reading.

Maurice Tiernay, by Charles Lever, has been issued by Harper and Brothers in their Library of Select Novels. The readers of this Magazine will no doubt welcome in a permanent shape this favorite story, which has formed such an agreeable feature in our pages.

Charles Scribner has published a new volume by N.P. Willis, with the characteristic title of Hurry-Graphs, containing sketches of scenery, celebrities, and society, taken from life. It is marked with the nice, microscopic observation of character and manners which, in the department of natural science, would make the fortune of an entomologist, and which, as employed by the author, has given him an unrivaled reputation as the delineator of the minutest phases of society. The verbal felicity of his expositions is no less remarkable than the subtlety of his insight, and so gracefully does he trample on the received usages of language, that the most obstinate adherent to the dictionary can not grudge him the words, which he combines in such bright and fanciful forms in his unlicensed kaleidoscope. In the present volume, which is filled with all sorts of enticements, we prefer the descriptions of nature to the sketches of character. Even the dusty road-side grows delightful under the touches of Willis's blossom-dropping pen, and when we come to the mountain and lake, it is like reveling in all the fragrant odors of Paradise. Here the author feels genially at home, and abandons himself to the natural, joyous, unreflective impulses of the scene; while, in his portraitures of character, which are usually more elaborate, he betrays the consciousness of an obligation to say something, which, if not original, shall at least astonish the reader with its appearance of novelty. His judgments, however, are often strikingly acute, and show his ready perception of individual life, no less than of the motley aspects of society. In this work they are singularly free from any tincture of bitterness, the result of a catholic appreciation of character, rather than of any milky sweetness of temperament.

Eastbury is the title of a recent English novel (published by Harper and Brothers), which even the opponents of fictitious literature must commend for its elevated moral tendency, and its pure religious spirit. It is free from the exaggerated views of life, and the morbid, inflated sentiment which form the staple of so many fashionable novels. With its reserved and quiet tone, it may at first disappoint the reader accustomed to a higher stimulus, but its cool domestic pictures, its fine illustrations of character, and its truthfulness and beauty of feeling will win the admiration of the most intelligent judges.

One of the most beautiful books of the season has been issued by J.S. Redfield, entitled Episodes of Insect Life, with copious engravings illustrative of the department of natural history to which it is devoted. The anonymous author is a passionate lover of nature, and describes the results of personal observation in glowing and picturesque language. Since the elaborate work of Kirby and Spence, nothing has proceeded from the English press more eminently adapted to inspire a taste for entomological researches, or treating the curious phenomena of insect economy with more animation and beauty of style. The fruits of accurate investigation are embellished with the charm of a lively fancy, making a volume no less delightful than instructive.

Lippincott, Grambo, and Co. have commenced a new serial publication, entitled Arthur's Library for the Household, consisting of original tales and sketches by T.S. Arthur. The two volumes already published contain Woman's Trials and Married Life. They will speedily be followed by other volumes, to the number of twelve, printed in uniform style, and with great typographical neatness. The chaste and elevated tone of Mr. Arthur's writings, with his uncommon skill in describing the scenes of real life, has deservedly made him a favorite with a large class of readers, and will, we have no doubt, guarantee a wide success to the present publication.

A cheap edition of Arthur's Works is now passing through the press of T.B. Peterson, Phil., and commands an extensive circulation. The last volume issued is The Banker's Wife, a tale illustrative of American society, and conveying an admirable moral.